TSTP Solution File: ALG045+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG045+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 : n018.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 16:35:50 EDT 2023
% Result : Unsatisfiable 10.34s 2.26s
% Output : Proof 38.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG045+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 04:21:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.60 ________ _____
% 0.18/0.60 ___ __ \_________(_)________________________________
% 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.60
% 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.60 (2023-06-19)
% 0.18/0.60
% 0.18/0.60 (c) Philipp Rümmer, 2009-2023
% 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.60 Amanda Stjerna.
% 0.18/0.60 Free software under BSD-3-Clause.
% 0.18/0.60
% 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.60
% 0.18/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.61 Running up to 7 provers in parallel.
% 0.18/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.18/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.95/1.28 Prover 1: Preprocessing ...
% 4.18/1.29 Prover 4: Preprocessing ...
% 4.18/1.33 Prover 5: Preprocessing ...
% 4.18/1.33 Prover 3: Preprocessing ...
% 4.18/1.33 Prover 6: Preprocessing ...
% 4.18/1.33 Prover 2: Preprocessing ...
% 4.54/1.34 Prover 0: Preprocessing ...
% 7.96/1.82 Prover 3: Constructing countermodel ...
% 8.08/1.82 Prover 6: Constructing countermodel ...
% 8.08/1.83 Prover 0: Constructing countermodel ...
% 8.08/1.83 Prover 2: Constructing countermodel ...
% 8.08/1.84 Prover 4: Constructing countermodel ...
% 8.08/1.85 Prover 1: Constructing countermodel ...
% 10.23/2.12 Prover 5: Constructing countermodel ...
% 10.34/2.26 Prover 2: proved (1636ms)
% 10.34/2.26
% 10.34/2.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.34/2.26
% 10.34/2.26 Prover 0: stopped
% 10.34/2.26 Prover 5: stopped
% 10.34/2.27 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.34/2.27 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.34/2.27 Prover 6: stopped
% 10.34/2.29 Prover 3: stopped
% 10.34/2.29 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.34/2.30 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 10.34/2.30 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.61/2.46 Prover 8: Preprocessing ...
% 12.61/2.46 Prover 7: Preprocessing ...
% 12.61/2.47 Prover 13: Preprocessing ...
% 12.61/2.49 Prover 10: Preprocessing ...
% 13.32/2.54 Prover 11: Preprocessing ...
% 13.85/2.67 Prover 8: Constructing countermodel ...
% 14.91/2.75 Prover 13: Constructing countermodel ...
% 14.91/2.76 Prover 7: Constructing countermodel ...
% 14.91/2.78 Prover 10: Constructing countermodel ...
% 14.91/2.80 Prover 11: Constructing countermodel ...
% 32.60/5.18 Prover 8: Found proof (size 5840)
% 32.60/5.18 Prover 8: proved (2903ms)
% 32.60/5.18 Prover 11: stopped
% 32.60/5.18 Prover 7: stopped
% 32.60/5.18 Prover 13: stopped
% 32.60/5.19 Prover 4: stopped
% 32.60/5.19 Prover 10: stopped
% 33.10/5.23 Prover 1: Found proof (size 4433)
% 33.10/5.23 Prover 1: proved (4607ms)
% 33.10/5.23
% 33.10/5.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.10/5.23
% 35.84/5.73 % SZS output start Proof for theBenchmark
% 35.84/5.74 Assumptions after simplification:
% 35.84/5.74 ---------------------------------
% 35.84/5.74
% 35.84/5.74 (ax1)
% 35.84/5.78 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 35.84/5.78 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 35.84/5.78 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 35.84/5.78 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 35.84/5.78 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 35.84/5.79 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 35.84/5.79 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 35.84/5.79 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 35.84/5.79 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 35.84/5.79 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 35.84/5.79 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 35.84/5.79 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 35.84/5.79 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 35.84/5.79 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 35.84/5.79 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 35.84/5.79 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 35.84/5.79 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 35.84/5.79 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 35.84/5.79 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 35.84/5.79
% 35.84/5.79 (ax10)
% 35.84/5.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e2) =
% 35.84/5.79 v0 & op(e1, e2) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e0)))
% 35.84/5.79
% 35.84/5.79 (ax11)
% 35.84/5.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 35.84/5.79 v0 & op(e2, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e0)))
% 35.84/5.79
% 35.84/5.79 (ax12)
% 35.84/5.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 35.84/5.79 v0 & op(e1, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e0)))
% 35.84/5.79
% 35.84/5.79 (ax13)
% 35.84/5.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e0) =
% 35.84/5.79 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e1)))
% 35.84/5.79
% 35.84/5.79 (ax14)
% 35.84/5.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e0) =
% 35.84/5.79 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e1)))
% 35.84/5.79
% 35.84/5.79 (ax15)
% 35.84/5.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e2) =
% 35.84/5.80 v1 & op(e2, e2) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e1)))
% 35.84/5.80
% 35.84/5.80 (ax16)
% 35.84/5.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e2) =
% 35.84/5.80 v0 & op(e0, e2) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e1)))
% 35.84/5.80
% 35.84/5.80 (ax17)
% 35.84/5.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 35.84/5.80 v0 & op(e2, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e1)))
% 35.84/5.80
% 35.84/5.80 (ax18)
% 35.84/5.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 35.84/5.80 v0 & op(e0, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e1)))
% 35.84/5.80
% 35.84/5.80 (ax19)
% 35.84/5.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e0) =
% 35.84/5.80 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e2)))
% 35.84/5.80
% 35.84/5.80 (ax2)
% 35.84/5.80 op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0
% 35.84/5.80 & op(e3, unit) = e3 & op(e2, unit) = e2 & op(e1, unit) = e1 & op(e0, unit) =
% 35.84/5.80 e0 & $i(unit) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & (unit = e3 | unit = e2 |
% 35.84/5.80 unit = e1 | unit = e0)
% 35.84/5.80
% 35.84/5.80 (ax20)
% 35.84/5.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e1, e0) =
% 35.84/5.80 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e2)))
% 35.84/5.80
% 35.84/5.80 (ax21)
% 35.84/5.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e1) =
% 35.84/5.80 v1 & op(e1, e1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e2)))
% 35.84/5.80
% 35.84/5.80 (ax22)
% 35.84/5.81 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e1, e1) =
% 35.84/5.81 v0 & op(e0, e1) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e2)))
% 35.84/5.81
% 35.84/5.81 (ax23)
% 35.84/5.81 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 35.84/5.81 v0 & op(e1, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e2)))
% 35.84/5.81
% 35.84/5.81 (ax24)
% 35.84/5.81 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 35.84/5.81 v0 & op(e0, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e2)))
% 35.84/5.81
% 35.84/5.81 (ax25)
% 35.84/5.81 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e0) =
% 35.84/5.81 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e3)))
% 35.84/5.81
% 35.84/5.81 (ax26)
% 35.84/5.81 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e1, e0) =
% 35.84/5.81 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e3)))
% 35.84/5.81
% 35.84/5.81 (ax27)
% 35.84/5.81 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e1) =
% 35.84/5.81 v1 & op(e1, e1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e3)))
% 35.84/5.81
% 35.84/5.81 (ax28)
% 35.84/5.81 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e1, e1) =
% 35.84/5.81 v0 & op(e0, e1) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e3)))
% 35.84/5.81
% 35.84/5.81 (ax29)
% 35.84/5.81 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e2) =
% 35.84/5.81 v0 & op(e1, e2) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e3)))
% 35.84/5.81
% 35.84/5.81 (ax3)
% 35.84/5.82 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 35.84/5.82 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 35.84/5.82 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 35.84/5.82 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 35.84/5.82 op(e3, e1) = v11 & op(e3, e0) = v6 & op(e2, e3) = v13 & op(e2, e2) = v12 &
% 35.84/5.82 op(e2, e1) = v10 & op(e2, e0) = v5 & op(e1, e3) = v9 & op(e1, e2) = v8 &
% 35.84/5.82 op(e1, e1) = v7 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 35.84/5.82 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 35.84/5.82 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 35.84/5.82 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v14 = e3 | v11 = e3 | v6 =
% 35.84/5.82 e3) & (v15 = e3 | v13 = e3 | v9 = e3 | v3 = e3) & (v15 = e2 | v14 = e2 |
% 35.84/5.82 v11 = e2 | v6 = e2) & (v15 = e2 | v13 = e2 | v9 = e2 | v3 = e2) & (v15 =
% 35.84/5.82 e1 | v14 = e1 | v11 = e1 | v6 = e1) & (v15 = e1 | v13 = e1 | v9 = e1 | v3
% 35.84/5.82 = e1) & (v15 = e0 | v14 = e0 | v11 = e0 | v6 = e0) & (v15 = e0 | v13 = e0
% 35.84/5.82 | v9 = e0 | v3 = e0) & (v14 = e3 | v12 = e3 | v8 = e3 | v2 = e3) & (v14 =
% 35.84/5.82 e2 | v12 = e2 | v8 = e2 | v2 = e2) & (v14 = e1 | v12 = e1 | v8 = e1 | v2 =
% 35.84/5.82 e1) & (v14 = e0 | v12 = e0 | v8 = e0 | v2 = e0) & (v13 = e3 | v12 = e3 |
% 35.84/5.82 v10 = e3 | v5 = e3) & (v13 = e2 | v12 = e2 | v10 = e2 | v5 = e2) & (v13 =
% 35.84/5.82 e1 | v12 = e1 | v10 = e1 | v5 = e1) & (v13 = e0 | v12 = e0 | v10 = e0 | v5
% 35.84/5.82 = e0) & (v11 = e3 | v10 = e3 | v7 = e3 | v1 = e3) & (v11 = e2 | v10 = e2 |
% 35.84/5.82 v7 = e2 | v1 = e2) & (v11 = e1 | v10 = e1 | v7 = e1 | v1 = e1) & (v11 = e0
% 35.84/5.82 | v10 = e0 | v7 = e0 | v1 = e0) & (v9 = e3 | v8 = e3 | v7 = e3 | v4 = e3)
% 35.84/5.82 & (v9 = e2 | v8 = e2 | v7 = e2 | v4 = e2) & (v9 = e1 | v8 = e1 | v7 = e1 |
% 35.84/5.82 v4 = e1) & (v9 = e0 | v8 = e0 | v7 = e0 | v4 = e0) & (v6 = e3 | v5 = e3 |
% 35.84/5.82 v4 = e3 | v0 = e3) & (v6 = e2 | v5 = e2 | v4 = e2 | v0 = e2) & (v6 = e1 |
% 35.84/5.82 v5 = e1 | v4 = e1 | v0 = e1) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) &
% 35.84/5.82 (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e1 | v2 = e1 | v1 = e1 | v0
% 35.84/5.82 = e1) & (v0 = e0 | ((v6 = e0 | v5 = e0 | v4 = e0) & (v3 = e0 | v2 = e0 |
% 35.84/5.82 v1 = e0))))
% 35.84/5.82
% 35.84/5.82 (ax30)
% 35.84/5.82 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e2) =
% 35.84/5.82 v0 & op(e0, e2) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e3)))
% 35.84/5.82
% 35.84/5.82 (ax4)
% 35.84/5.83 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 35.84/5.83 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 35.84/5.83 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 35.84/5.83 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 35.84/5.83 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 35.84/5.83 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 35.84/5.83 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 35.84/5.83 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 35.84/5.83 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 35.84/5.83 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 35.84/5.83 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 35.84/5.83 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 35.84/5.83 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 35.84/5.83 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 35.84/5.83 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 35.84/5.83 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 35.84/5.83 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 35.84/5.83 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 35.84/5.83 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 35.84/5.83 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 35.84/5.83
% 35.84/5.83 (ax5)
% 35.84/5.83 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 35.84/5.83 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 35.84/5.83
% 35.84/5.83 (ax6)
% 35.84/5.83 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 35.84/5.83 ? [v3: $i] : (op(e3, e3) = v3 & op(e2, e2) = v2 & op(e1, e1) = v1 & op(e0, e0)
% 35.84/5.83 = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v3 = e3 & v2 = e3 & v1 = e3 &
% 35.84/5.83 v0 = e3) | (v3 = e2 & v2 = e2 & v1 = e2 & v0 = e2) | (v3 = e1 & v2 = e1
% 35.84/5.83 & v1 = e1 & v0 = e1) | (v3 = e0 & v2 = e0 & v1 = e0 & v0 = e0)))
% 35.84/5.83
% 35.84/5.83 (ax7)
% 35.84/5.83 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e1) =
% 35.84/5.83 v1 & op(e1, e1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e0)))
% 35.84/5.83
% 35.84/5.83 (ax8)
% 35.84/5.83 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e1) =
% 35.84/5.83 v1 & op(e1, e1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e0)))
% 35.84/5.83
% 35.84/5.83 (ax9)
% 35.84/5.83 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e2) =
% 35.84/5.83 v1 & op(e2, e2) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e0)))
% 35.84/5.83
% 35.84/5.83 (function-axioms)
% 35.84/5.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 35.84/5.83 v2) = v1) | ~ (op(v3, v2) = v0))
% 35.84/5.83
% 35.84/5.83 Those formulas are unsatisfiable:
% 35.84/5.83 ---------------------------------
% 35.84/5.83
% 35.84/5.83 Begin of proof
% 35.84/5.84 |
% 35.84/5.84 | ALPHA: (ax1) implies:
% 35.84/5.84 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 35.84/5.84 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 35.84/5.84 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 35.84/5.84 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 35.84/5.84 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 35.84/5.84 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 35.84/5.84 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 35.84/5.84 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 35.84/5.84 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 35.84/5.84 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 35.84/5.84 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 35.84/5.84 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 35.84/5.84 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 35.84/5.84 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 35.84/5.84 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 35.84/5.84 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 35.84/5.84 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 35.84/5.84 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 35.84/5.84 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 35.84/5.84 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 35.84/5.84 | = e0))
% 35.84/5.84 |
% 35.84/5.84 | ALPHA: (ax2) implies:
% 35.84/5.84 | (2) op(e0, unit) = e0
% 35.84/5.84 | (3) op(e1, unit) = e1
% 35.84/5.84 | (4) op(e2, unit) = e2
% 35.84/5.84 | (5) op(e3, unit) = e3
% 35.84/5.84 | (6) op(unit, e0) = e0
% 35.84/5.84 | (7) op(unit, e1) = e1
% 35.84/5.84 | (8) op(unit, e2) = e2
% 35.84/5.84 | (9) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 35.84/5.84 |
% 35.84/5.84 | ALPHA: (ax3) implies:
% 35.84/5.85 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 35.84/5.85 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 35.84/5.85 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 35.84/5.85 | $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3,
% 35.84/5.85 | e1) = v11 & op(e3, e0) = v6 & op(e2, e3) = v13 & op(e2, e2) = v12
% 35.84/5.85 | & op(e2, e1) = v10 & op(e2, e0) = v5 & op(e1, e3) = v9 & op(e1, e2)
% 35.84/5.85 | = v8 & op(e1, e1) = v7 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0,
% 35.84/5.85 | e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 35.84/5.85 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 35.84/5.85 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15
% 35.84/5.85 | = e3 | v14 = e3 | v11 = e3 | v6 = e3) & (v15 = e3 | v13 = e3 | v9
% 35.84/5.85 | = e3 | v3 = e3) & (v15 = e2 | v14 = e2 | v11 = e2 | v6 = e2) &
% 35.84/5.85 | (v15 = e2 | v13 = e2 | v9 = e2 | v3 = e2) & (v15 = e1 | v14 = e1 |
% 35.84/5.85 | v11 = e1 | v6 = e1) & (v15 = e1 | v13 = e1 | v9 = e1 | v3 = e1) &
% 35.84/5.85 | (v15 = e0 | v14 = e0 | v11 = e0 | v6 = e0) & (v15 = e0 | v13 = e0 |
% 35.84/5.85 | v9 = e0 | v3 = e0) & (v14 = e3 | v12 = e3 | v8 = e3 | v2 = e3) &
% 35.84/5.85 | (v14 = e2 | v12 = e2 | v8 = e2 | v2 = e2) & (v14 = e1 | v12 = e1 |
% 35.84/5.85 | v8 = e1 | v2 = e1) & (v14 = e0 | v12 = e0 | v8 = e0 | v2 = e0) &
% 35.84/5.85 | (v13 = e3 | v12 = e3 | v10 = e3 | v5 = e3) & (v13 = e2 | v12 = e2 |
% 35.84/5.85 | v10 = e2 | v5 = e2) & (v13 = e1 | v12 = e1 | v10 = e1 | v5 = e1) &
% 35.84/5.85 | (v13 = e0 | v12 = e0 | v10 = e0 | v5 = e0) & (v11 = e3 | v10 = e3 |
% 35.84/5.85 | v7 = e3 | v1 = e3) & (v11 = e2 | v10 = e2 | v7 = e2 | v1 = e2) &
% 35.84/5.85 | (v11 = e1 | v10 = e1 | v7 = e1 | v1 = e1) & (v11 = e0 | v10 = e0 |
% 35.84/5.85 | v7 = e0 | v1 = e0) & (v9 = e3 | v8 = e3 | v7 = e3 | v4 = e3) & (v9
% 35.84/5.85 | = e2 | v8 = e2 | v7 = e2 | v4 = e2) & (v9 = e1 | v8 = e1 | v7 = e1
% 35.84/5.85 | | v4 = e1) & (v9 = e0 | v8 = e0 | v7 = e0 | v4 = e0) & (v6 = e3 |
% 35.84/5.85 | v5 = e3 | v4 = e3 | v0 = e3) & (v6 = e2 | v5 = e2 | v4 = e2 | v0 =
% 35.84/5.85 | e2) & (v6 = e1 | v5 = e1 | v4 = e1 | v0 = e1) & (v3 = e3 | v2 = e3
% 35.84/5.85 | | v1 = e3 | v0 = e3) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) &
% 35.84/5.85 | (v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v6 = e0 | v5
% 35.84/5.85 | = e0 | v4 = e0) & (v3 = e0 | v2 = e0 | v1 = e0))))
% 35.84/5.85 |
% 35.84/5.85 | ALPHA: (ax4) implies:
% 35.84/5.86 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 35.84/5.86 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 35.84/5.86 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 35.84/5.86 | $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 =
% 35.84/5.86 | v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 35.84/5.86 | v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 =
% 35.84/5.86 | v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 =
% 35.84/5.86 | v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 =
% 35.84/5.86 | v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 =
% 35.84/5.86 | v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 =
% 35.84/5.86 | v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) &
% 35.84/5.86 | ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 =
% 35.84/5.86 | v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) &
% 35.84/5.86 | ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 =
% 35.84/5.86 | v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) =
% 35.84/5.86 | v15 & op(e3, e2) = v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2,
% 35.84/5.86 | e3) = v14 & op(e2, e2) = v10 & op(e2, e1) = v6 & op(e2, e0) = v2 &
% 35.84/5.86 | op(e1, e3) = v13 & op(e1, e2) = v9 & op(e1, e1) = v5 & op(e1, e0) =
% 35.84/5.86 | v1 & op(e0, e3) = v12 & op(e0, e2) = v8 & op(e0, e1) = v4 & op(e0,
% 35.84/5.86 | e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 35.84/5.86 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 35.84/5.86 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax5) implies:
% 35.84/5.86 | (12) ~ (e1 = e0)
% 35.84/5.86 | (13) ~ (e2 = e0)
% 35.84/5.86 | (14) ~ (e2 = e1)
% 35.84/5.86 | (15) ~ (e3 = e0)
% 35.84/5.86 | (16) ~ (e3 = e1)
% 35.84/5.86 | (17) ~ (e3 = e2)
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax6) implies:
% 35.84/5.86 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (op(e3, e3) =
% 35.84/5.86 | v3 & op(e2, e2) = v2 & op(e1, e1) = v1 & op(e0, e0) = v0 & $i(v3) &
% 35.84/5.86 | $i(v2) & $i(v1) & $i(v0) & ((v3 = e3 & v2 = e3 & v1 = e3 & v0 = e3)
% 35.84/5.86 | | (v3 = e2 & v2 = e2 & v1 = e2 & v0 = e2) | (v3 = e1 & v2 = e1 &
% 35.84/5.86 | v1 = e1 & v0 = e1) | (v3 = e0 & v2 = e0 & v1 = e0 & v0 = e0)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax7) implies:
% 35.84/5.86 | (19) ? [v0: $i] : ? [v1: $i] : (op(e3, e1) = v1 & op(e1, e1) = v0 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e0)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax8) implies:
% 35.84/5.86 | (20) ? [v0: $i] : ? [v1: $i] : (op(e2, e1) = v1 & op(e1, e1) = v0 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e0)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax9) implies:
% 35.84/5.86 | (21) ? [v0: $i] : ? [v1: $i] : (op(e3, e2) = v1 & op(e2, e2) = v0 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e0)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax10) implies:
% 35.84/5.86 | (22) ? [v0: $i] : ? [v1: $i] : (op(e2, e2) = v0 & op(e1, e2) = v1 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e0)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax11) implies:
% 35.84/5.86 | (23) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e2, e3) = v1 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e0)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax12) implies:
% 35.84/5.86 | (24) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e1, e3) = v1 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e0)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax13) implies:
% 35.84/5.86 | (25) ? [v0: $i] : ? [v1: $i] : (op(e3, e0) = v1 & op(e0, e0) = v0 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e1)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax14) implies:
% 35.84/5.86 | (26) ? [v0: $i] : ? [v1: $i] : (op(e2, e0) = v1 & op(e0, e0) = v0 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e1)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax15) implies:
% 35.84/5.86 | (27) ? [v0: $i] : ? [v1: $i] : (op(e3, e2) = v1 & op(e2, e2) = v0 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e1)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax16) implies:
% 35.84/5.86 | (28) ? [v0: $i] : ? [v1: $i] : (op(e2, e2) = v0 & op(e0, e2) = v1 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e1)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax17) implies:
% 35.84/5.86 | (29) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e2, e3) = v1 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e1)))
% 35.84/5.86 |
% 35.84/5.86 | ALPHA: (ax18) implies:
% 35.84/5.86 | (30) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e0, e3) = v1 &
% 35.84/5.86 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e1)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax19) implies:
% 35.84/5.87 | (31) ? [v0: $i] : ? [v1: $i] : (op(e3, e0) = v1 & op(e0, e0) = v0 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e2)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax20) implies:
% 35.84/5.87 | (32) ? [v0: $i] : ? [v1: $i] : (op(e1, e0) = v1 & op(e0, e0) = v0 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e2)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax21) implies:
% 35.84/5.87 | (33) ? [v0: $i] : ? [v1: $i] : (op(e3, e1) = v1 & op(e1, e1) = v0 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e2)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax22) implies:
% 35.84/5.87 | (34) ? [v0: $i] : ? [v1: $i] : (op(e1, e1) = v0 & op(e0, e1) = v1 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e2)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax23) implies:
% 35.84/5.87 | (35) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e1, e3) = v1 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e2)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax24) implies:
% 35.84/5.87 | (36) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e0, e3) = v1 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e2)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax25) implies:
% 35.84/5.87 | (37) ? [v0: $i] : ? [v1: $i] : (op(e2, e0) = v1 & op(e0, e0) = v0 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e3)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax26) implies:
% 35.84/5.87 | (38) ? [v0: $i] : ? [v1: $i] : (op(e1, e0) = v1 & op(e0, e0) = v0 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e3)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax27) implies:
% 35.84/5.87 | (39) ? [v0: $i] : ? [v1: $i] : (op(e2, e1) = v1 & op(e1, e1) = v0 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e3)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax28) implies:
% 35.84/5.87 | (40) ? [v0: $i] : ? [v1: $i] : (op(e1, e1) = v0 & op(e0, e1) = v1 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e3)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax29) implies:
% 35.84/5.87 | (41) ? [v0: $i] : ? [v1: $i] : (op(e2, e2) = v0 & op(e1, e2) = v1 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e3)))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (ax30) implies:
% 35.84/5.87 | (42) ? [v0: $i] : ? [v1: $i] : (op(e2, e2) = v0 & op(e0, e2) = v1 &
% 35.84/5.87 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e3)))
% 35.84/5.87 |
% 35.84/5.87 | DELTA: instantiating (36) with fresh symbols all_4_0, all_4_1 gives:
% 35.84/5.87 | (43) op(e3, e3) = all_4_1 & op(e0, e3) = all_4_0 & $i(all_4_0) &
% 35.84/5.87 | $i(all_4_1) & ( ~ (all_4_0 = e1) | ~ (all_4_1 = e2))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (43) implies:
% 35.84/5.87 | (44) op(e0, e3) = all_4_0
% 35.84/5.87 | (45) op(e3, e3) = all_4_1
% 35.84/5.87 | (46) ~ (all_4_0 = e1) | ~ (all_4_1 = e2)
% 35.84/5.87 |
% 35.84/5.87 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1 gives:
% 35.84/5.87 | (47) op(e3, e2) = all_6_0 & op(e2, e2) = all_6_1 & $i(all_6_0) &
% 35.84/5.87 | $i(all_6_1) & ( ~ (all_6_0 = e0) | ~ (all_6_1 = e1))
% 35.84/5.87 |
% 35.84/5.87 | ALPHA: (47) implies:
% 35.84/5.88 | (48) op(e2, e2) = all_6_1
% 35.84/5.88 | (49) op(e3, e2) = all_6_0
% 35.84/5.88 | (50) ~ (all_6_0 = e0) | ~ (all_6_1 = e1)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (38) with fresh symbols all_8_0, all_8_1 gives:
% 35.84/5.88 | (51) op(e1, e0) = all_8_0 & op(e0, e0) = all_8_1 & $i(all_8_0) &
% 35.84/5.88 | $i(all_8_1) & ( ~ (all_8_0 = e2) | ~ (all_8_1 = e3))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (51) implies:
% 35.84/5.88 | (52) op(e0, e0) = all_8_1
% 35.84/5.88 | (53) op(e1, e0) = all_8_0
% 35.84/5.88 | (54) ~ (all_8_0 = e2) | ~ (all_8_1 = e3)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (25) with fresh symbols all_10_0, all_10_1 gives:
% 35.84/5.88 | (55) op(e3, e0) = all_10_0 & op(e0, e0) = all_10_1 & $i(all_10_0) &
% 35.84/5.88 | $i(all_10_1) & ( ~ (all_10_0 = e2) | ~ (all_10_1 = e1))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (55) implies:
% 35.84/5.88 | (56) op(e0, e0) = all_10_1
% 35.84/5.88 | (57) op(e3, e0) = all_10_0
% 35.84/5.88 | (58) ~ (all_10_0 = e2) | ~ (all_10_1 = e1)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (20) with fresh symbols all_12_0, all_12_1 gives:
% 35.84/5.88 | (59) op(e2, e1) = all_12_0 & op(e1, e1) = all_12_1 & $i(all_12_0) &
% 35.84/5.88 | $i(all_12_1) & ( ~ (all_12_0 = e3) | ~ (all_12_1 = e0))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (59) implies:
% 35.84/5.88 | (60) op(e1, e1) = all_12_1
% 35.84/5.88 | (61) op(e2, e1) = all_12_0
% 35.84/5.88 | (62) ~ (all_12_0 = e3) | ~ (all_12_1 = e0)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1 gives:
% 35.84/5.88 | (63) op(e3, e3) = all_14_1 & op(e2, e3) = all_14_0 & $i(all_14_0) &
% 35.84/5.88 | $i(all_14_1) & ( ~ (all_14_0 = e0) | ~ (all_14_1 = e1))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (63) implies:
% 35.84/5.88 | (64) op(e2, e3) = all_14_0
% 35.84/5.88 | (65) op(e3, e3) = all_14_1
% 35.84/5.88 | (66) ~ (all_14_0 = e0) | ~ (all_14_1 = e1)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (31) with fresh symbols all_16_0, all_16_1 gives:
% 35.84/5.88 | (67) op(e3, e0) = all_16_0 & op(e0, e0) = all_16_1 & $i(all_16_0) &
% 35.84/5.88 | $i(all_16_1) & ( ~ (all_16_0 = e1) | ~ (all_16_1 = e2))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (67) implies:
% 35.84/5.88 | (68) op(e0, e0) = all_16_1
% 35.84/5.88 | (69) op(e3, e0) = all_16_0
% 35.84/5.88 | (70) ~ (all_16_0 = e1) | ~ (all_16_1 = e2)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (19) with fresh symbols all_18_0, all_18_1 gives:
% 35.84/5.88 | (71) op(e3, e1) = all_18_0 & op(e1, e1) = all_18_1 & $i(all_18_0) &
% 35.84/5.88 | $i(all_18_1) & ( ~ (all_18_0 = e2) | ~ (all_18_1 = e0))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (71) implies:
% 35.84/5.88 | (72) op(e1, e1) = all_18_1
% 35.84/5.88 | (73) op(e3, e1) = all_18_0
% 35.84/5.88 | (74) ~ (all_18_0 = e2) | ~ (all_18_1 = e0)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (32) with fresh symbols all_20_0, all_20_1 gives:
% 35.84/5.88 | (75) op(e1, e0) = all_20_0 & op(e0, e0) = all_20_1 & $i(all_20_0) &
% 35.84/5.88 | $i(all_20_1) & ( ~ (all_20_0 = e3) | ~ (all_20_1 = e2))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (75) implies:
% 35.84/5.88 | (76) op(e0, e0) = all_20_1
% 35.84/5.88 | (77) op(e1, e0) = all_20_0
% 35.84/5.88 | (78) ~ (all_20_0 = e3) | ~ (all_20_1 = e2)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (34) with fresh symbols all_22_0, all_22_1 gives:
% 35.84/5.88 | (79) op(e1, e1) = all_22_1 & op(e0, e1) = all_22_0 & $i(all_22_0) &
% 35.84/5.88 | $i(all_22_1) & ( ~ (all_22_0 = e3) | ~ (all_22_1 = e2))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (79) implies:
% 35.84/5.88 | (80) op(e0, e1) = all_22_0
% 35.84/5.88 | (81) op(e1, e1) = all_22_1
% 35.84/5.88 | (82) ~ (all_22_0 = e3) | ~ (all_22_1 = e2)
% 35.84/5.88 |
% 35.84/5.88 | DELTA: instantiating (33) with fresh symbols all_24_0, all_24_1 gives:
% 35.84/5.88 | (83) op(e3, e1) = all_24_0 & op(e1, e1) = all_24_1 & $i(all_24_0) &
% 35.84/5.88 | $i(all_24_1) & ( ~ (all_24_0 = e0) | ~ (all_24_1 = e2))
% 35.84/5.88 |
% 35.84/5.88 | ALPHA: (83) implies:
% 35.84/5.89 | (84) op(e1, e1) = all_24_1
% 35.84/5.89 | (85) op(e3, e1) = all_24_0
% 35.84/5.89 | (86) ~ (all_24_0 = e0) | ~ (all_24_1 = e2)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (22) with fresh symbols all_26_0, all_26_1 gives:
% 35.84/5.89 | (87) op(e2, e2) = all_26_1 & op(e1, e2) = all_26_0 & $i(all_26_0) &
% 35.84/5.89 | $i(all_26_1) & ( ~ (all_26_0 = e3) | ~ (all_26_1 = e0))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (87) implies:
% 35.84/5.89 | (88) op(e1, e2) = all_26_0
% 35.84/5.89 | (89) op(e2, e2) = all_26_1
% 35.84/5.89 | (90) ~ (all_26_0 = e3) | ~ (all_26_1 = e0)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (37) with fresh symbols all_28_0, all_28_1 gives:
% 35.84/5.89 | (91) op(e2, e0) = all_28_0 & op(e0, e0) = all_28_1 & $i(all_28_0) &
% 35.84/5.89 | $i(all_28_1) & ( ~ (all_28_0 = e1) | ~ (all_28_1 = e3))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (91) implies:
% 35.84/5.89 | (92) op(e0, e0) = all_28_1
% 35.84/5.89 | (93) op(e2, e0) = all_28_0
% 35.84/5.89 | (94) ~ (all_28_0 = e1) | ~ (all_28_1 = e3)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (39) with fresh symbols all_30_0, all_30_1 gives:
% 35.84/5.89 | (95) op(e2, e1) = all_30_0 & op(e1, e1) = all_30_1 & $i(all_30_0) &
% 35.84/5.89 | $i(all_30_1) & ( ~ (all_30_0 = e0) | ~ (all_30_1 = e3))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (95) implies:
% 35.84/5.89 | (96) op(e1, e1) = all_30_1
% 35.84/5.89 | (97) op(e2, e1) = all_30_0
% 35.84/5.89 | (98) ~ (all_30_0 = e0) | ~ (all_30_1 = e3)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (23) with fresh symbols all_32_0, all_32_1 gives:
% 35.84/5.89 | (99) op(e3, e3) = all_32_1 & op(e2, e3) = all_32_0 & $i(all_32_0) &
% 35.84/5.89 | $i(all_32_1) & ( ~ (all_32_0 = e1) | ~ (all_32_1 = e0))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (99) implies:
% 35.84/5.89 | (100) op(e2, e3) = all_32_0
% 35.84/5.89 | (101) op(e3, e3) = all_32_1
% 35.84/5.89 | (102) ~ (all_32_0 = e1) | ~ (all_32_1 = e0)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (24) with fresh symbols all_34_0, all_34_1 gives:
% 35.84/5.89 | (103) op(e3, e3) = all_34_1 & op(e1, e3) = all_34_0 & $i(all_34_0) &
% 35.84/5.89 | $i(all_34_1) & ( ~ (all_34_0 = e2) | ~ (all_34_1 = e0))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (103) implies:
% 35.84/5.89 | (104) op(e1, e3) = all_34_0
% 35.84/5.89 | (105) op(e3, e3) = all_34_1
% 35.84/5.89 | (106) ~ (all_34_0 = e2) | ~ (all_34_1 = e0)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (26) with fresh symbols all_36_0, all_36_1 gives:
% 35.84/5.89 | (107) op(e2, e0) = all_36_0 & op(e0, e0) = all_36_1 & $i(all_36_0) &
% 35.84/5.89 | $i(all_36_1) & ( ~ (all_36_0 = e3) | ~ (all_36_1 = e1))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (107) implies:
% 35.84/5.89 | (108) op(e0, e0) = all_36_1
% 35.84/5.89 | (109) op(e2, e0) = all_36_0
% 35.84/5.89 | (110) ~ (all_36_0 = e3) | ~ (all_36_1 = e1)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (40) with fresh symbols all_38_0, all_38_1 gives:
% 35.84/5.89 | (111) op(e1, e1) = all_38_1 & op(e0, e1) = all_38_0 & $i(all_38_0) &
% 35.84/5.89 | $i(all_38_1) & ( ~ (all_38_0 = e2) | ~ (all_38_1 = e3))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (111) implies:
% 35.84/5.89 | (112) op(e0, e1) = all_38_0
% 35.84/5.89 | (113) op(e1, e1) = all_38_1
% 35.84/5.89 | (114) ~ (all_38_0 = e2) | ~ (all_38_1 = e3)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (41) with fresh symbols all_40_0, all_40_1 gives:
% 35.84/5.89 | (115) op(e2, e2) = all_40_1 & op(e1, e2) = all_40_0 & $i(all_40_0) &
% 35.84/5.89 | $i(all_40_1) & ( ~ (all_40_0 = e0) | ~ (all_40_1 = e3))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (115) implies:
% 35.84/5.89 | (116) op(e1, e2) = all_40_0
% 35.84/5.89 | (117) op(e2, e2) = all_40_1
% 35.84/5.89 | (118) ~ (all_40_0 = e0) | ~ (all_40_1 = e3)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (42) with fresh symbols all_42_0, all_42_1 gives:
% 35.84/5.89 | (119) op(e2, e2) = all_42_1 & op(e0, e2) = all_42_0 & $i(all_42_0) &
% 35.84/5.89 | $i(all_42_1) & ( ~ (all_42_0 = e1) | ~ (all_42_1 = e3))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (119) implies:
% 35.84/5.89 | (120) op(e0, e2) = all_42_0
% 35.84/5.89 | (121) op(e2, e2) = all_42_1
% 35.84/5.89 | (122) ~ (all_42_0 = e1) | ~ (all_42_1 = e3)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (28) with fresh symbols all_44_0, all_44_1 gives:
% 35.84/5.89 | (123) op(e2, e2) = all_44_1 & op(e0, e2) = all_44_0 & $i(all_44_0) &
% 35.84/5.89 | $i(all_44_1) & ( ~ (all_44_0 = e3) | ~ (all_44_1 = e1))
% 35.84/5.89 |
% 35.84/5.89 | ALPHA: (123) implies:
% 35.84/5.89 | (124) op(e0, e2) = all_44_0
% 35.84/5.89 | (125) op(e2, e2) = all_44_1
% 35.84/5.89 | (126) ~ (all_44_0 = e3) | ~ (all_44_1 = e1)
% 35.84/5.89 |
% 35.84/5.89 | DELTA: instantiating (35) with fresh symbols all_46_0, all_46_1 gives:
% 35.84/5.89 | (127) op(e3, e3) = all_46_1 & op(e1, e3) = all_46_0 & $i(all_46_0) &
% 35.84/5.90 | $i(all_46_1) & ( ~ (all_46_0 = e0) | ~ (all_46_1 = e2))
% 35.84/5.90 |
% 35.84/5.90 | ALPHA: (127) implies:
% 35.84/5.90 | (128) op(e1, e3) = all_46_0
% 35.84/5.90 | (129) op(e3, e3) = all_46_1
% 35.84/5.90 | (130) ~ (all_46_0 = e0) | ~ (all_46_1 = e2)
% 35.84/5.90 |
% 35.84/5.90 | DELTA: instantiating (30) with fresh symbols all_48_0, all_48_1 gives:
% 35.84/5.90 | (131) op(e3, e3) = all_48_1 & op(e0, e3) = all_48_0 & $i(all_48_0) &
% 35.84/5.90 | $i(all_48_1) & ( ~ (all_48_0 = e2) | ~ (all_48_1 = e1))
% 35.84/5.90 |
% 35.84/5.90 | ALPHA: (131) implies:
% 35.84/5.90 | (132) op(e0, e3) = all_48_0
% 35.84/5.90 | (133) op(e3, e3) = all_48_1
% 35.84/5.90 | (134) ~ (all_48_0 = e2) | ~ (all_48_1 = e1)
% 35.84/5.90 |
% 35.84/5.90 | DELTA: instantiating (21) with fresh symbols all_50_0, all_50_1 gives:
% 35.84/5.90 | (135) op(e3, e2) = all_50_0 & op(e2, e2) = all_50_1 & $i(all_50_0) &
% 35.84/5.90 | $i(all_50_1) & ( ~ (all_50_0 = e1) | ~ (all_50_1 = e0))
% 35.84/5.90 |
% 35.84/5.90 | ALPHA: (135) implies:
% 35.84/5.90 | (136) op(e2, e2) = all_50_1
% 35.84/5.90 | (137) op(e3, e2) = all_50_0
% 35.84/5.90 | (138) ~ (all_50_0 = e1) | ~ (all_50_1 = e0)
% 35.84/5.90 |
% 35.84/5.90 | DELTA: instantiating (18) with fresh symbols all_52_0, all_52_1, all_52_2,
% 35.84/5.90 | all_52_3 gives:
% 35.84/5.90 | (139) op(e3, e3) = all_52_0 & op(e2, e2) = all_52_1 & op(e1, e1) = all_52_2
% 35.84/5.90 | & op(e0, e0) = all_52_3 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2)
% 35.84/5.90 | & $i(all_52_3) & ((all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 35.84/5.90 | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 35.84/5.90 | all_52_3 = e2) | (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 35.84/5.90 | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 35.84/5.90 | all_52_3 = e0))
% 35.84/5.90 |
% 35.84/5.90 | ALPHA: (139) implies:
% 35.84/5.90 | (140) op(e0, e0) = all_52_3
% 35.84/5.90 | (141) op(e1, e1) = all_52_2
% 35.84/5.90 | (142) op(e2, e2) = all_52_1
% 35.84/5.90 | (143) op(e3, e3) = all_52_0
% 35.84/5.90 | (144) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 35.84/5.90 | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 35.84/5.90 | (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 35.84/5.90 | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 35.84/5.90 |
% 35.84/5.90 | DELTA: instantiating (11) with fresh symbols all_54_0, all_54_1, all_54_2,
% 35.84/5.90 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 35.84/5.90 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 35.84/5.90 | (145) ~ (all_54_0 = all_54_1) & ~ (all_54_0 = all_54_2) & ~ (all_54_0 =
% 35.84/5.90 | all_54_3) & ~ (all_54_0 = all_54_4) & ~ (all_54_0 = all_54_8) &
% 35.84/5.90 | ~ (all_54_0 = all_54_12) & ~ (all_54_1 = all_54_2) & ~ (all_54_1 =
% 35.84/5.90 | all_54_3) & ~ (all_54_1 = all_54_5) & ~ (all_54_1 = all_54_9) &
% 35.84/5.90 | ~ (all_54_1 = all_54_13) & ~ (all_54_2 = all_54_3) & ~ (all_54_2 =
% 35.84/5.90 | all_54_6) & ~ (all_54_2 = all_54_10) & ~ (all_54_2 = all_54_14) &
% 35.84/5.90 | ~ (all_54_3 = all_54_7) & ~ (all_54_3 = all_54_11) & ~ (all_54_3 =
% 35.84/5.90 | all_54_15) & ~ (all_54_4 = all_54_5) & ~ (all_54_4 = all_54_6) &
% 35.84/5.90 | ~ (all_54_4 = all_54_7) & ~ (all_54_4 = all_54_8) & ~ (all_54_4 =
% 35.84/5.90 | all_54_12) & ~ (all_54_5 = all_54_6) & ~ (all_54_5 = all_54_7) &
% 35.84/5.90 | ~ (all_54_5 = all_54_9) & ~ (all_54_5 = all_54_13) & ~ (all_54_6 =
% 35.84/5.90 | all_54_7) & ~ (all_54_6 = all_54_10) & ~ (all_54_6 = all_54_14) &
% 35.84/5.90 | ~ (all_54_7 = all_54_11) & ~ (all_54_7 = all_54_15) & ~ (all_54_8
% 35.84/5.90 | = all_54_9) & ~ (all_54_8 = all_54_10) & ~ (all_54_8 = all_54_11)
% 35.84/5.90 | & ~ (all_54_8 = all_54_12) & ~ (all_54_9 = all_54_10) & ~
% 35.84/5.90 | (all_54_9 = all_54_11) & ~ (all_54_9 = all_54_13) & ~ (all_54_10 =
% 35.84/5.90 | all_54_11) & ~ (all_54_10 = all_54_14) & ~ (all_54_11 =
% 35.84/5.90 | all_54_15) & ~ (all_54_12 = all_54_13) & ~ (all_54_12 =
% 35.84/5.90 | all_54_14) & ~ (all_54_12 = all_54_15) & ~ (all_54_13 =
% 35.84/5.90 | all_54_14) & ~ (all_54_13 = all_54_15) & ~ (all_54_14 =
% 35.84/5.90 | all_54_15) & op(e3, e3) = all_54_0 & op(e3, e2) = all_54_4 & op(e3,
% 35.84/5.90 | e1) = all_54_8 & op(e3, e0) = all_54_12 & op(e2, e3) = all_54_1 &
% 35.84/5.90 | op(e2, e2) = all_54_5 & op(e2, e1) = all_54_9 & op(e2, e0) =
% 35.84/5.90 | all_54_13 & op(e1, e3) = all_54_2 & op(e1, e2) = all_54_6 & op(e1,
% 35.84/5.90 | e1) = all_54_10 & op(e1, e0) = all_54_14 & op(e0, e3) = all_54_3 &
% 35.84/5.90 | op(e0, e2) = all_54_7 & op(e0, e1) = all_54_11 & op(e0, e0) =
% 35.84/5.90 | all_54_15 & $i(all_54_0) & $i(all_54_1) & $i(all_54_2) & $i(all_54_3)
% 35.84/5.90 | & $i(all_54_4) & $i(all_54_5) & $i(all_54_6) & $i(all_54_7) &
% 35.84/5.90 | $i(all_54_8) & $i(all_54_9) & $i(all_54_10) & $i(all_54_11) &
% 35.84/5.90 | $i(all_54_12) & $i(all_54_13) & $i(all_54_14) & $i(all_54_15)
% 35.84/5.90 |
% 35.84/5.90 | ALPHA: (145) implies:
% 35.84/5.90 | (146) ~ (all_54_14 = all_54_15)
% 35.84/5.90 | (147) ~ (all_54_13 = all_54_14)
% 35.84/5.90 | (148) ~ (all_54_12 = all_54_14)
% 35.84/5.90 | (149) ~ (all_54_12 = all_54_13)
% 35.84/5.90 | (150) ~ (all_54_11 = all_54_15)
% 35.84/5.90 | (151) ~ (all_54_10 = all_54_11)
% 35.84/5.90 | (152) ~ (all_54_9 = all_54_13)
% 35.84/5.90 | (153) ~ (all_54_9 = all_54_11)
% 35.84/5.90 | (154) ~ (all_54_9 = all_54_10)
% 35.84/5.90 | (155) ~ (all_54_8 = all_54_12)
% 35.84/5.90 | (156) ~ (all_54_8 = all_54_11)
% 35.84/5.90 | (157) ~ (all_54_8 = all_54_10)
% 35.84/5.90 | (158) ~ (all_54_8 = all_54_9)
% 35.84/5.90 | (159) ~ (all_54_7 = all_54_15)
% 35.84/5.90 | (160) ~ (all_54_7 = all_54_11)
% 35.84/5.90 | (161) ~ (all_54_6 = all_54_14)
% 35.84/5.90 | (162) ~ (all_54_6 = all_54_7)
% 35.84/5.90 | (163) ~ (all_54_5 = all_54_13)
% 35.84/5.90 | (164) ~ (all_54_5 = all_54_9)
% 35.84/5.90 | (165) ~ (all_54_5 = all_54_7)
% 35.84/5.90 | (166) ~ (all_54_5 = all_54_6)
% 35.84/5.90 | (167) ~ (all_54_4 = all_54_12)
% 35.84/5.90 | (168) ~ (all_54_4 = all_54_8)
% 35.84/5.90 | (169) ~ (all_54_4 = all_54_7)
% 35.84/5.90 | (170) ~ (all_54_4 = all_54_6)
% 35.84/5.90 | (171) ~ (all_54_4 = all_54_5)
% 35.84/5.90 | (172) ~ (all_54_3 = all_54_15)
% 35.84/5.90 | (173) ~ (all_54_3 = all_54_11)
% 35.84/5.90 | (174) ~ (all_54_3 = all_54_7)
% 35.84/5.90 | (175) ~ (all_54_2 = all_54_14)
% 35.84/5.90 | (176) ~ (all_54_2 = all_54_6)
% 35.84/5.91 | (177) ~ (all_54_2 = all_54_3)
% 35.84/5.91 | (178) ~ (all_54_1 = all_54_13)
% 35.84/5.91 | (179) ~ (all_54_1 = all_54_9)
% 35.84/5.91 | (180) ~ (all_54_1 = all_54_5)
% 35.84/5.91 | (181) ~ (all_54_1 = all_54_3)
% 35.84/5.91 | (182) ~ (all_54_1 = all_54_2)
% 35.84/5.91 | (183) ~ (all_54_0 = all_54_12)
% 35.84/5.91 | (184) ~ (all_54_0 = all_54_8)
% 35.84/5.91 | (185) ~ (all_54_0 = all_54_4)
% 35.84/5.91 | (186) ~ (all_54_0 = all_54_3)
% 35.84/5.91 | (187) ~ (all_54_0 = all_54_2)
% 35.84/5.91 | (188) ~ (all_54_0 = all_54_1)
% 35.84/5.91 | (189) op(e0, e0) = all_54_15
% 35.84/5.91 | (190) op(e0, e1) = all_54_11
% 35.84/5.91 | (191) op(e0, e2) = all_54_7
% 35.84/5.91 | (192) op(e0, e3) = all_54_3
% 35.84/5.91 | (193) op(e1, e0) = all_54_14
% 35.84/5.91 | (194) op(e1, e1) = all_54_10
% 35.84/5.91 | (195) op(e1, e2) = all_54_6
% 35.84/5.91 | (196) op(e1, e3) = all_54_2
% 35.84/5.91 | (197) op(e2, e0) = all_54_13
% 35.84/5.91 | (198) op(e2, e1) = all_54_9
% 35.84/5.91 | (199) op(e2, e2) = all_54_5
% 35.84/5.91 | (200) op(e2, e3) = all_54_1
% 35.84/5.91 | (201) op(e3, e0) = all_54_12
% 35.84/5.91 | (202) op(e3, e1) = all_54_8
% 35.84/5.91 | (203) op(e3, e2) = all_54_4
% 35.84/5.91 | (204) op(e3, e3) = all_54_0
% 35.84/5.91 |
% 35.84/5.91 | DELTA: instantiating (1) with fresh symbols all_56_0, all_56_1, all_56_2,
% 35.84/5.91 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 35.84/5.91 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 35.84/5.91 | (205) op(e3, e3) = all_56_0 & op(e3, e2) = all_56_1 & op(e3, e1) = all_56_2
% 35.84/5.91 | & op(e3, e0) = all_56_3 & op(e2, e3) = all_56_4 & op(e2, e2) =
% 35.84/5.91 | all_56_5 & op(e2, e1) = all_56_6 & op(e2, e0) = all_56_7 & op(e1, e3)
% 35.84/5.91 | = all_56_8 & op(e1, e2) = all_56_9 & op(e1, e1) = all_56_10 & op(e1,
% 35.84/5.91 | e0) = all_56_11 & op(e0, e3) = all_56_12 & op(e0, e2) = all_56_13 &
% 35.84/5.91 | op(e0, e1) = all_56_14 & op(e0, e0) = all_56_15 & $i(all_56_0) &
% 35.84/5.91 | $i(all_56_1) & $i(all_56_2) & $i(all_56_3) & $i(all_56_4) &
% 35.84/5.91 | $i(all_56_5) & $i(all_56_6) & $i(all_56_7) & $i(all_56_8) &
% 35.84/5.91 | $i(all_56_9) & $i(all_56_10) & $i(all_56_11) & $i(all_56_12) &
% 35.84/5.91 | $i(all_56_13) & $i(all_56_14) & $i(all_56_15) & (all_56_0 = e3 |
% 35.84/5.91 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0) & (all_56_1 = e3 |
% 35.84/5.91 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0) & (all_56_2 = e3 |
% 35.84/5.91 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0) & (all_56_3 = e3 |
% 35.84/5.91 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0) & (all_56_4 = e3 |
% 35.84/5.91 | all_56_4 = e2 | all_56_4 = e1 | all_56_4 = e0) & (all_56_5 = e3 |
% 35.84/5.91 | all_56_5 = e2 | all_56_5 = e1 | all_56_5 = e0) & (all_56_6 = e3 |
% 35.84/5.91 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0) & (all_56_7 = e3 |
% 35.84/5.91 | all_56_7 = e2 | all_56_7 = e1 | all_56_7 = e0) & (all_56_8 = e3 |
% 35.84/5.91 | all_56_8 = e2 | all_56_8 = e1 | all_56_8 = e0) & (all_56_9 = e3 |
% 35.84/5.91 | all_56_9 = e2 | all_56_9 = e1 | all_56_9 = e0) & (all_56_10 = e3 |
% 35.84/5.91 | all_56_10 = e2 | all_56_10 = e1 | all_56_10 = e0) & (all_56_11 = e3
% 35.84/5.91 | | all_56_11 = e2 | all_56_11 = e1 | all_56_11 = e0) & (all_56_12 =
% 35.84/5.91 | e3 | all_56_12 = e2 | all_56_12 = e1 | all_56_12 = e0) & (all_56_13
% 35.84/5.91 | = e3 | all_56_13 = e2 | all_56_13 = e1 | all_56_13 = e0) &
% 35.84/5.91 | (all_56_14 = e3 | all_56_14 = e2 | all_56_14 = e1 | all_56_14 = e0) &
% 35.84/5.91 | (all_56_15 = e3 | all_56_15 = e2 | all_56_15 = e1 | all_56_15 = e0)
% 35.84/5.91 |
% 35.84/5.91 | ALPHA: (205) implies:
% 35.84/5.91 | (206) op(e0, e0) = all_56_15
% 35.84/5.91 | (207) op(e0, e1) = all_56_14
% 35.84/5.91 | (208) op(e0, e2) = all_56_13
% 35.84/5.91 | (209) op(e0, e3) = all_56_12
% 35.84/5.91 | (210) op(e1, e0) = all_56_11
% 35.84/5.91 | (211) op(e1, e1) = all_56_10
% 35.84/5.91 | (212) op(e1, e2) = all_56_9
% 35.84/5.91 | (213) op(e1, e3) = all_56_8
% 35.84/5.91 | (214) op(e2, e0) = all_56_7
% 35.84/5.91 | (215) op(e2, e1) = all_56_6
% 35.84/5.91 | (216) op(e2, e2) = all_56_5
% 35.84/5.91 | (217) op(e2, e3) = all_56_4
% 35.84/5.91 | (218) op(e3, e0) = all_56_3
% 35.84/5.91 | (219) op(e3, e1) = all_56_2
% 35.84/5.91 | (220) op(e3, e2) = all_56_1
% 35.84/5.91 | (221) op(e3, e3) = all_56_0
% 35.84/5.91 | (222) all_56_15 = e3 | all_56_15 = e2 | all_56_15 = e1 | all_56_15 = e0
% 35.84/5.91 | (223) all_56_14 = e3 | all_56_14 = e2 | all_56_14 = e1 | all_56_14 = e0
% 35.84/5.91 | (224) all_56_13 = e3 | all_56_13 = e2 | all_56_13 = e1 | all_56_13 = e0
% 35.84/5.91 | (225) all_56_12 = e3 | all_56_12 = e2 | all_56_12 = e1 | all_56_12 = e0
% 35.84/5.91 | (226) all_56_11 = e3 | all_56_11 = e2 | all_56_11 = e1 | all_56_11 = e0
% 35.84/5.91 | (227) all_56_9 = e3 | all_56_9 = e2 | all_56_9 = e1 | all_56_9 = e0
% 35.84/5.91 | (228) all_56_7 = e3 | all_56_7 = e2 | all_56_7 = e1 | all_56_7 = e0
% 35.84/5.91 | (229) all_56_6 = e3 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 35.84/5.91 | (230) all_56_4 = e3 | all_56_4 = e2 | all_56_4 = e1 | all_56_4 = e0
% 35.84/5.91 | (231) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 35.84/5.91 | (232) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 35.84/5.91 | (233) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 35.84/5.91 |
% 35.84/5.91 | DELTA: instantiating (10) with fresh symbols all_58_0, all_58_1, all_58_2,
% 35.84/5.91 | all_58_3, all_58_4, all_58_5, all_58_6, all_58_7, all_58_8, all_58_9,
% 35.84/5.91 | all_58_10, all_58_11, all_58_12, all_58_13, all_58_14, all_58_15 gives:
% 35.84/5.92 | (234) op(e3, e3) = all_58_0 & op(e3, e2) = all_58_1 & op(e3, e1) = all_58_4
% 35.84/5.92 | & op(e3, e0) = all_58_9 & op(e2, e3) = all_58_2 & op(e2, e2) =
% 35.84/5.92 | all_58_3 & op(e2, e1) = all_58_5 & op(e2, e0) = all_58_10 & op(e1,
% 35.84/5.92 | e3) = all_58_6 & op(e1, e2) = all_58_7 & op(e1, e1) = all_58_8 &
% 35.84/5.92 | op(e1, e0) = all_58_11 & op(e0, e3) = all_58_12 & op(e0, e2) =
% 35.84/5.92 | all_58_13 & op(e0, e1) = all_58_14 & op(e0, e0) = all_58_15 &
% 35.84/5.92 | $i(all_58_0) & $i(all_58_1) & $i(all_58_2) & $i(all_58_3) &
% 35.84/5.92 | $i(all_58_4) & $i(all_58_5) & $i(all_58_6) & $i(all_58_7) &
% 35.84/5.92 | $i(all_58_8) & $i(all_58_9) & $i(all_58_10) & $i(all_58_11) &
% 35.84/5.92 | $i(all_58_12) & $i(all_58_13) & $i(all_58_14) & $i(all_58_15) &
% 35.84/5.92 | (all_58_0 = e3 | all_58_1 = e3 | all_58_4 = e3 | all_58_9 = e3) &
% 35.84/5.92 | (all_58_0 = e3 | all_58_2 = e3 | all_58_6 = e3 | all_58_12 = e3) &
% 35.84/5.92 | (all_58_0 = e2 | all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2) &
% 35.84/5.92 | (all_58_0 = e2 | all_58_2 = e2 | all_58_6 = e2 | all_58_12 = e2) &
% 35.84/5.92 | (all_58_0 = e1 | all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1) &
% 35.84/5.92 | (all_58_0 = e1 | all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1) &
% 35.84/5.92 | (all_58_0 = e0 | all_58_1 = e0 | all_58_4 = e0 | all_58_9 = e0) &
% 35.84/5.92 | (all_58_0 = e0 | all_58_2 = e0 | all_58_6 = e0 | all_58_12 = e0) &
% 35.84/5.92 | (all_58_1 = e3 | all_58_3 = e3 | all_58_7 = e3 | all_58_13 = e3) &
% 35.84/5.92 | (all_58_1 = e2 | all_58_3 = e2 | all_58_7 = e2 | all_58_13 = e2) &
% 35.84/5.92 | (all_58_1 = e1 | all_58_3 = e1 | all_58_7 = e1 | all_58_13 = e1) &
% 35.84/5.92 | (all_58_1 = e0 | all_58_3 = e0 | all_58_7 = e0 | all_58_13 = e0) &
% 35.84/5.92 | (all_58_2 = e3 | all_58_3 = e3 | all_58_5 = e3 | all_58_10 = e3) &
% 35.84/5.92 | (all_58_2 = e2 | all_58_3 = e2 | all_58_5 = e2 | all_58_10 = e2) &
% 35.84/5.92 | (all_58_2 = e1 | all_58_3 = e1 | all_58_5 = e1 | all_58_10 = e1) &
% 35.84/5.92 | (all_58_2 = e0 | all_58_3 = e0 | all_58_5 = e0 | all_58_10 = e0) &
% 35.84/5.92 | (all_58_4 = e3 | all_58_5 = e3 | all_58_8 = e3 | all_58_14 = e3) &
% 35.84/5.92 | (all_58_4 = e2 | all_58_5 = e2 | all_58_8 = e2 | all_58_14 = e2) &
% 35.84/5.92 | (all_58_4 = e1 | all_58_5 = e1 | all_58_8 = e1 | all_58_14 = e1) &
% 35.84/5.92 | (all_58_4 = e0 | all_58_5 = e0 | all_58_8 = e0 | all_58_14 = e0) &
% 35.84/5.92 | (all_58_6 = e3 | all_58_7 = e3 | all_58_8 = e3 | all_58_11 = e3) &
% 35.84/5.92 | (all_58_6 = e2 | all_58_7 = e2 | all_58_8 = e2 | all_58_11 = e2) &
% 35.84/5.92 | (all_58_6 = e1 | all_58_7 = e1 | all_58_8 = e1 | all_58_11 = e1) &
% 35.84/5.92 | (all_58_6 = e0 | all_58_7 = e0 | all_58_8 = e0 | all_58_11 = e0) &
% 35.84/5.92 | (all_58_9 = e3 | all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3) &
% 35.84/5.92 | (all_58_9 = e2 | all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2) &
% 35.84/5.92 | (all_58_9 = e1 | all_58_10 = e1 | all_58_11 = e1 | all_58_15 = e1) &
% 35.84/5.92 | (all_58_12 = e3 | all_58_13 = e3 | all_58_14 = e3 | all_58_15 = e3) &
% 35.84/5.92 | (all_58_12 = e2 | all_58_13 = e2 | all_58_14 = e2 | all_58_15 = e2) &
% 35.84/5.92 | (all_58_12 = e1 | all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1) &
% 35.84/5.92 | (all_58_15 = e0 | ((all_58_9 = e0 | all_58_10 = e0 | all_58_11 = e0)
% 35.84/5.92 | & (all_58_12 = e0 | all_58_13 = e0 | all_58_14 = e0)))
% 35.84/5.92 |
% 35.84/5.92 | ALPHA: (234) implies:
% 35.84/5.92 | (235) op(e0, e0) = all_58_15
% 35.84/5.92 | (236) op(e0, e1) = all_58_14
% 35.84/5.92 | (237) op(e0, e2) = all_58_13
% 35.84/5.92 | (238) op(e0, e3) = all_58_12
% 35.84/5.92 | (239) op(e1, e0) = all_58_11
% 35.84/5.92 | (240) op(e1, e1) = all_58_8
% 35.84/5.92 | (241) op(e1, e2) = all_58_7
% 35.84/5.92 | (242) op(e1, e3) = all_58_6
% 35.84/5.92 | (243) op(e2, e0) = all_58_10
% 35.84/5.92 | (244) op(e2, e1) = all_58_5
% 35.84/5.92 | (245) op(e2, e2) = all_58_3
% 35.84/5.92 | (246) op(e2, e3) = all_58_2
% 35.84/5.92 | (247) op(e3, e0) = all_58_9
% 35.84/5.92 | (248) op(e3, e1) = all_58_4
% 35.84/5.92 | (249) op(e3, e2) = all_58_1
% 35.84/5.92 | (250) op(e3, e3) = all_58_0
% 35.84/5.92 | (251) all_58_12 = e1 | all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 35.84/5.92 | (252) all_58_12 = e2 | all_58_13 = e2 | all_58_14 = e2 | all_58_15 = e2
% 35.84/5.92 | (253) all_58_12 = e3 | all_58_13 = e3 | all_58_14 = e3 | all_58_15 = e3
% 35.84/5.92 | (254) all_58_9 = e1 | all_58_10 = e1 | all_58_11 = e1 | all_58_15 = e1
% 35.84/5.92 | (255) all_58_9 = e2 | all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 35.84/5.92 | (256) all_58_9 = e3 | all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3
% 35.84/5.92 | (257) all_58_6 = e0 | all_58_7 = e0 | all_58_8 = e0 | all_58_11 = e0
% 35.84/5.92 | (258) all_58_6 = e2 | all_58_7 = e2 | all_58_8 = e2 | all_58_11 = e2
% 35.84/5.92 | (259) all_58_6 = e3 | all_58_7 = e3 | all_58_8 = e3 | all_58_11 = e3
% 35.84/5.92 | (260) all_58_4 = e2 | all_58_5 = e2 | all_58_8 = e2 | all_58_14 = e2
% 35.84/5.92 | (261) all_58_4 = e3 | all_58_5 = e3 | all_58_8 = e3 | all_58_14 = e3
% 35.84/5.92 | (262) all_58_2 = e0 | all_58_3 = e0 | all_58_5 = e0 | all_58_10 = e0
% 35.84/5.92 | (263) all_58_2 = e3 | all_58_3 = e3 | all_58_5 = e3 | all_58_10 = e3
% 35.84/5.92 | (264) all_58_1 = e0 | all_58_3 = e0 | all_58_7 = e0 | all_58_13 = e0
% 35.84/5.92 | (265) all_58_1 = e1 | all_58_3 = e1 | all_58_7 = e1 | all_58_13 = e1
% 35.84/5.92 | (266) all_58_1 = e3 | all_58_3 = e3 | all_58_7 = e3 | all_58_13 = e3
% 35.84/5.92 | (267) all_58_0 = e0 | all_58_1 = e0 | all_58_4 = e0 | all_58_9 = e0
% 35.84/5.92 | (268) all_58_0 = e1 | all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 35.84/5.92 | (269) all_58_0 = e1 | all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1
% 35.84/5.92 | (270) all_58_0 = e2 | all_58_2 = e2 | all_58_6 = e2 | all_58_12 = e2
% 35.84/5.92 | (271) all_58_0 = e2 | all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2
% 35.84/5.92 | (272) all_58_0 = e3 | all_58_2 = e3 | all_58_6 = e3 | all_58_12 = e3
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_8_1, all_16_1, e0, e0,
% 35.84/5.92 | simplifying with (52), (68) gives:
% 35.84/5.92 | (273) all_16_1 = all_8_1
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_28_1, all_36_1, e0, e0,
% 35.84/5.92 | simplifying with (92), (108) gives:
% 35.84/5.92 | (274) all_36_1 = all_28_1
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_16_1, all_36_1, e0, e0,
% 35.84/5.92 | simplifying with (68), (108) gives:
% 35.84/5.92 | (275) all_36_1 = all_16_1
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_36_1, all_52_3, e0, e0,
% 35.84/5.92 | simplifying with (108), (140) gives:
% 35.84/5.92 | (276) all_52_3 = all_36_1
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_36_1, all_54_15, e0, e0,
% 35.84/5.92 | simplifying with (108), (189) gives:
% 35.84/5.92 | (277) all_54_15 = all_36_1
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_56_15, e0, e0,
% 35.84/5.92 | simplifying with (140), (206) gives:
% 35.84/5.92 | (278) all_56_15 = all_52_3
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_20_1, all_56_15, e0, e0,
% 35.84/5.92 | simplifying with (76), (206) gives:
% 35.84/5.92 | (279) all_56_15 = all_20_1
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_54_15, all_58_15, e0,
% 35.84/5.92 | e0, simplifying with (189), (235) gives:
% 35.84/5.92 | (280) all_58_15 = all_54_15
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_10_1, all_58_15, e0, e0,
% 35.84/5.92 | simplifying with (56), (235) gives:
% 35.84/5.92 | (281) all_58_15 = all_10_1
% 35.84/5.92 |
% 35.84/5.92 | GROUND_INST: instantiating (function-axioms) with all_54_11, all_56_14, e1,
% 35.84/5.92 | e0, simplifying with (190), (207) gives:
% 35.84/5.93 | (282) all_56_14 = all_54_11
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_38_0, all_56_14, e1, e0,
% 35.84/5.93 | simplifying with (112), (207) gives:
% 35.84/5.93 | (283) all_56_14 = all_38_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_11, all_58_14, e1,
% 35.84/5.93 | e0, simplifying with (190), (236) gives:
% 35.84/5.93 | (284) all_58_14 = all_54_11
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_22_0, all_58_14, e1, e0,
% 35.84/5.93 | simplifying with (80), (236) gives:
% 35.84/5.93 | (285) all_58_14 = all_22_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_7, all_56_13, e2, e0,
% 35.84/5.93 | simplifying with (191), (208) gives:
% 35.84/5.93 | (286) all_56_13 = all_54_7
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_42_0, all_56_13, e2, e0,
% 35.84/5.93 | simplifying with (120), (208) gives:
% 35.84/5.93 | (287) all_56_13 = all_42_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_7, all_58_13, e2, e0,
% 35.84/5.93 | simplifying with (191), (237) gives:
% 35.84/5.93 | (288) all_58_13 = all_54_7
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_44_0, all_58_13, e2, e0,
% 35.84/5.93 | simplifying with (124), (237) gives:
% 35.84/5.93 | (289) all_58_13 = all_44_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_54_3, e3, e0,
% 35.84/5.93 | simplifying with (44), (192) gives:
% 35.84/5.93 | (290) all_54_3 = all_4_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_3, all_56_12, e3, e0,
% 35.84/5.93 | simplifying with (192), (209) gives:
% 35.84/5.93 | (291) all_56_12 = all_54_3
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_56_12, all_58_12, e3,
% 35.84/5.93 | e0, simplifying with (209), (238) gives:
% 35.84/5.93 | (292) all_58_12 = all_56_12
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_48_0, all_58_12, e3, e0,
% 35.84/5.93 | simplifying with (132), (238) gives:
% 35.84/5.93 | (293) all_58_12 = all_48_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_8_0, all_54_14, e0, e1,
% 35.84/5.93 | simplifying with (53), (193) gives:
% 35.84/5.93 | (294) all_54_14 = all_8_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_14, all_56_11, e0,
% 35.84/5.93 | e1, simplifying with (193), (210) gives:
% 35.84/5.93 | (295) all_56_11 = all_54_14
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_56_11, all_58_11, e0,
% 35.84/5.93 | e1, simplifying with (210), (239) gives:
% 35.84/5.93 | (296) all_58_11 = all_56_11
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_20_0, all_58_11, e0, e1,
% 35.84/5.93 | simplifying with (77), (239) gives:
% 35.84/5.93 | (297) all_58_11 = all_20_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_18_1, all_22_1, e1, e1,
% 35.84/5.93 | simplifying with (72), (81) gives:
% 35.84/5.93 | (298) all_22_1 = all_18_1
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_22_1, all_24_1, e1, e1,
% 35.84/5.93 | simplifying with (81), (84) gives:
% 35.84/5.93 | (299) all_24_1 = all_22_1
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_24_1, all_30_1, e1, e1,
% 35.84/5.93 | simplifying with (84), (96) gives:
% 35.84/5.93 | (300) all_30_1 = all_24_1
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_10, e1, e1,
% 35.84/5.93 | simplifying with (141), (194) gives:
% 35.84/5.93 | (301) all_54_10 = all_52_2
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_30_1, all_54_10, e1, e1,
% 35.84/5.93 | simplifying with (96), (194) gives:
% 35.84/5.93 | (302) all_54_10 = all_30_1
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_10, all_56_10, e1,
% 35.84/5.93 | e1, simplifying with (194), (211) gives:
% 35.84/5.93 | (303) all_56_10 = all_54_10
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_38_1, all_56_10, e1, e1,
% 35.84/5.93 | simplifying with (113), (211) gives:
% 35.84/5.93 | (304) all_56_10 = all_38_1
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_58_8, e1, e1,
% 35.84/5.93 | simplifying with (141), (240) gives:
% 35.84/5.93 | (305) all_58_8 = all_52_2
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_12_1, all_58_8, e1, e1,
% 35.84/5.93 | simplifying with (60), (240) gives:
% 35.84/5.93 | (306) all_58_8 = all_12_1
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_6, all_56_9, e2, e1,
% 35.84/5.93 | simplifying with (195), (212) gives:
% 35.84/5.93 | (307) all_56_9 = all_54_6
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_40_0, all_56_9, e2, e1,
% 35.84/5.93 | simplifying with (116), (212) gives:
% 35.84/5.93 | (308) all_56_9 = all_40_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_6, all_58_7, e2, e1,
% 35.84/5.93 | simplifying with (195), (241) gives:
% 35.84/5.93 | (309) all_58_7 = all_54_6
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_26_0, all_58_7, e2, e1,
% 35.84/5.93 | simplifying with (88), (241) gives:
% 35.84/5.93 | (310) all_58_7 = all_26_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_46_0, all_56_8, e3, e1,
% 35.84/5.93 | simplifying with (128), (213) gives:
% 35.84/5.93 | (311) all_56_8 = all_46_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_34_0, all_56_8, e3, e1,
% 35.84/5.93 | simplifying with (104), (213) gives:
% 35.84/5.93 | (312) all_56_8 = all_34_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_56_8, all_58_6, e3, e1,
% 35.84/5.93 | simplifying with (213), (242) gives:
% 35.84/5.93 | (313) all_58_6 = all_56_8
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_2, all_58_6, e3, e1,
% 35.84/5.93 | simplifying with (196), (242) gives:
% 35.84/5.93 | (314) all_58_6 = all_54_2
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_36_0, all_54_13, e0, e2,
% 35.84/5.93 | simplifying with (109), (197) gives:
% 35.84/5.93 | (315) all_54_13 = all_36_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_13, all_56_7, e0, e2,
% 35.84/5.93 | simplifying with (197), (214) gives:
% 35.84/5.93 | (316) all_56_7 = all_54_13
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_56_7, all_58_10, e0, e2,
% 35.84/5.93 | simplifying with (214), (243) gives:
% 35.84/5.93 | (317) all_58_10 = all_56_7
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_28_0, all_58_10, e0, e2,
% 35.84/5.93 | simplifying with (93), (243) gives:
% 35.84/5.93 | (318) all_58_10 = all_28_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_9, all_56_6, e1, e2,
% 35.84/5.93 | simplifying with (198), (215) gives:
% 35.84/5.93 | (319) all_56_6 = all_54_9
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_30_0, all_56_6, e1, e2,
% 35.84/5.93 | simplifying with (97), (215) gives:
% 35.84/5.93 | (320) all_56_6 = all_30_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_54_9, all_58_5, e1, e2,
% 35.84/5.93 | simplifying with (198), (244) gives:
% 35.84/5.93 | (321) all_58_5 = all_54_9
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_12_0, all_58_5, e1, e2,
% 35.84/5.93 | simplifying with (61), (244) gives:
% 35.84/5.93 | (322) all_58_5 = all_12_0
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_44_1, all_50_1, e2, e2,
% 35.84/5.93 | simplifying with (125), (136) gives:
% 35.84/5.93 | (323) all_50_1 = all_44_1
% 35.84/5.93 |
% 35.84/5.93 | GROUND_INST: instantiating (function-axioms) with all_42_1, all_50_1, e2, e2,
% 35.84/5.93 | simplifying with (121), (136) gives:
% 35.84/5.93 | (324) all_50_1 = all_42_1
% 35.84/5.93 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_40_1, all_50_1, e2, e2,
% 35.84/5.94 | simplifying with (117), (136) gives:
% 35.84/5.94 | (325) all_50_1 = all_40_1
% 35.84/5.94 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_26_1, all_50_1, e2, e2,
% 35.84/5.94 | simplifying with (89), (136) gives:
% 35.84/5.94 | (326) all_50_1 = all_26_1
% 35.84/5.94 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_42_1, all_52_1, e2, e2,
% 35.84/5.94 | simplifying with (121), (142) gives:
% 35.84/5.94 | (327) all_52_1 = all_42_1
% 35.84/5.94 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_5, e2, e2,
% 35.84/5.94 | simplifying with (142), (199) gives:
% 35.84/5.94 | (328) all_54_5 = all_52_1
% 35.84/5.94 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_54_5, all_56_5, e2, e2,
% 35.84/5.94 | simplifying with (199), (216) gives:
% 35.84/5.94 | (329) all_56_5 = all_54_5
% 35.84/5.94 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_56_5, all_58_3, e2, e2,
% 35.84/5.94 | simplifying with (216), (245) gives:
% 35.84/5.94 | (330) all_58_3 = all_56_5
% 35.84/5.94 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_58_3, e2, e2,
% 35.84/5.94 | simplifying with (48), (245) gives:
% 35.84/5.94 | (331) all_58_3 = all_6_1
% 35.84/5.94 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_32_0, all_54_1, e3, e2,
% 35.84/5.94 | simplifying with (100), (200) gives:
% 35.84/5.94 | (332) all_54_1 = all_32_0
% 35.84/5.94 |
% 35.84/5.94 | GROUND_INST: instantiating (function-axioms) with all_54_1, all_56_4, e3, e2,
% 35.84/5.94 | simplifying with (200), (217) gives:
% 35.84/5.94 | (333) all_56_4 = all_54_1
% 35.84/5.94 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_56_4, all_58_2, e3, e2,
% 35.84/5.95 | simplifying with (217), (246) gives:
% 35.84/5.95 | (334) all_58_2 = all_56_4
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_14_0, all_58_2, e3, e2,
% 35.84/5.95 | simplifying with (64), (246) gives:
% 35.84/5.95 | (335) all_58_2 = all_14_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_10_0, all_54_12, e0, e3,
% 35.84/5.95 | simplifying with (57), (201) gives:
% 35.84/5.95 | (336) all_54_12 = all_10_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_56_3, all_58_9, e0, e3,
% 35.84/5.95 | simplifying with (218), (247) gives:
% 35.84/5.95 | (337) all_58_9 = all_56_3
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_54_12, all_58_9, e0, e3,
% 35.84/5.95 | simplifying with (201), (247) gives:
% 35.84/5.95 | (338) all_58_9 = all_54_12
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_16_0, all_58_9, e0, e3,
% 35.84/5.95 | simplifying with (69), (247) gives:
% 35.84/5.95 | (339) all_58_9 = all_16_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_24_0, all_56_2, e1, e3,
% 35.84/5.95 | simplifying with (85), (219) gives:
% 35.84/5.95 | (340) all_56_2 = all_24_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_18_0, all_56_2, e1, e3,
% 35.84/5.95 | simplifying with (73), (219) gives:
% 35.84/5.95 | (341) all_56_2 = all_18_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_56_2, all_58_4, e1, e3,
% 35.84/5.95 | simplifying with (219), (248) gives:
% 35.84/5.95 | (342) all_58_4 = all_56_2
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_54_8, all_58_4, e1, e3,
% 35.84/5.95 | simplifying with (202), (248) gives:
% 35.84/5.95 | (343) all_58_4 = all_54_8
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_56_1, e2, e3,
% 35.84/5.95 | simplifying with (49), (220) gives:
% 35.84/5.95 | (344) all_56_1 = all_6_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_56_1, all_58_1, e2, e3,
% 35.84/5.95 | simplifying with (220), (249) gives:
% 35.84/5.95 | (345) all_58_1 = all_56_1
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_54_4, all_58_1, e2, e3,
% 35.84/5.95 | simplifying with (203), (249) gives:
% 35.84/5.95 | (346) all_58_1 = all_54_4
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_50_0, all_58_1, e2, e3,
% 35.84/5.95 | simplifying with (137), (249) gives:
% 35.84/5.95 | (347) all_58_1 = all_50_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_32_1, all_34_1, e3, e3,
% 35.84/5.95 | simplifying with (101), (105) gives:
% 35.84/5.95 | (348) all_34_1 = all_32_1
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_34_1, all_46_1, e3, e3,
% 35.84/5.95 | simplifying with (105), (129) gives:
% 35.84/5.95 | (349) all_46_1 = all_34_1
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_14_1, all_46_1, e3, e3,
% 35.84/5.95 | simplifying with (65), (129) gives:
% 35.84/5.95 | (350) all_46_1 = all_14_1
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_32_1, all_48_1, e3, e3,
% 35.84/5.95 | simplifying with (101), (133) gives:
% 35.84/5.95 | (351) all_48_1 = all_32_1
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_48_1, all_52_0, e3, e3,
% 35.84/5.95 | simplifying with (133), (143) gives:
% 35.84/5.95 | (352) all_52_0 = all_48_1
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_52_0, all_54_0, e3, e3,
% 35.84/5.95 | simplifying with (143), (204) gives:
% 35.84/5.95 | (353) all_54_0 = all_52_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_54_0, all_56_0, e3, e3,
% 35.84/5.95 | simplifying with (204), (221) gives:
% 35.84/5.95 | (354) all_56_0 = all_54_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_56_0, all_58_0, e3, e3,
% 35.84/5.95 | simplifying with (221), (250) gives:
% 35.84/5.95 | (355) all_58_0 = all_56_0
% 35.84/5.95 |
% 35.84/5.95 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_58_0, e3, e3,
% 35.84/5.95 | simplifying with (45), (250) gives:
% 35.84/5.95 | (356) all_58_0 = all_4_1
% 35.84/5.95 |
% 35.84/5.95 | COMBINE_EQS: (355), (356) imply:
% 35.84/5.95 | (357) all_56_0 = all_4_1
% 35.84/5.95 |
% 35.84/5.95 | SIMP: (357) implies:
% 35.84/5.95 | (358) all_56_0 = all_4_1
% 35.84/5.95 |
% 35.84/5.95 | COMBINE_EQS: (345), (346) imply:
% 35.84/5.96 | (359) all_56_1 = all_54_4
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (359) implies:
% 35.84/5.96 | (360) all_56_1 = all_54_4
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (346), (347) imply:
% 35.84/5.96 | (361) all_54_4 = all_50_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (334), (335) imply:
% 35.84/5.96 | (362) all_56_4 = all_14_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (362) implies:
% 35.84/5.96 | (363) all_56_4 = all_14_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (330), (331) imply:
% 35.84/5.96 | (364) all_56_5 = all_6_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (364) implies:
% 35.84/5.96 | (365) all_56_5 = all_6_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (342), (343) imply:
% 35.84/5.96 | (366) all_56_2 = all_54_8
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (366) implies:
% 35.84/5.96 | (367) all_56_2 = all_54_8
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (321), (322) imply:
% 35.84/5.96 | (368) all_54_9 = all_12_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (368) implies:
% 35.84/5.96 | (369) all_54_9 = all_12_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (313), (314) imply:
% 35.84/5.96 | (370) all_56_8 = all_54_2
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (370) implies:
% 35.84/5.96 | (371) all_56_8 = all_54_2
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (309), (310) imply:
% 35.84/5.96 | (372) all_54_6 = all_26_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (372) implies:
% 35.84/5.96 | (373) all_54_6 = all_26_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (305), (306) imply:
% 35.84/5.96 | (374) all_52_2 = all_12_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (374) implies:
% 35.84/5.96 | (375) all_52_2 = all_12_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (337), (339) imply:
% 35.84/5.96 | (376) all_56_3 = all_16_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (337), (338) imply:
% 35.84/5.96 | (377) all_56_3 = all_54_12
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (317), (318) imply:
% 35.84/5.96 | (378) all_56_7 = all_28_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (378) implies:
% 35.84/5.96 | (379) all_56_7 = all_28_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (296), (297) imply:
% 35.84/5.96 | (380) all_56_11 = all_20_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (380) implies:
% 35.84/5.96 | (381) all_56_11 = all_20_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (292), (293) imply:
% 35.84/5.96 | (382) all_56_12 = all_48_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (382) implies:
% 35.84/5.96 | (383) all_56_12 = all_48_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (288), (289) imply:
% 35.84/5.96 | (384) all_54_7 = all_44_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (384) implies:
% 35.84/5.96 | (385) all_54_7 = all_44_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (284), (285) imply:
% 35.84/5.96 | (386) all_54_11 = all_22_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (386) implies:
% 35.84/5.96 | (387) all_54_11 = all_22_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (280), (281) imply:
% 35.84/5.96 | (388) all_54_15 = all_10_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (388) implies:
% 35.84/5.96 | (389) all_54_15 = all_10_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (354), (358) imply:
% 35.84/5.96 | (390) all_54_0 = all_4_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (390) implies:
% 35.84/5.96 | (391) all_54_0 = all_4_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (344), (360) imply:
% 35.84/5.96 | (392) all_54_4 = all_6_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (392) implies:
% 35.84/5.96 | (393) all_54_4 = all_6_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (341), (367) imply:
% 35.84/5.96 | (394) all_54_8 = all_18_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (340), (367) imply:
% 35.84/5.96 | (395) all_54_8 = all_24_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (376), (377) imply:
% 35.84/5.96 | (396) all_54_12 = all_16_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (396) implies:
% 35.84/5.96 | (397) all_54_12 = all_16_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (333), (363) imply:
% 35.84/5.96 | (398) all_54_1 = all_14_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (398) implies:
% 35.84/5.96 | (399) all_54_1 = all_14_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (329), (365) imply:
% 35.84/5.96 | (400) all_54_5 = all_6_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (400) implies:
% 35.84/5.96 | (401) all_54_5 = all_6_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (319), (320) imply:
% 35.84/5.96 | (402) all_54_9 = all_30_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (402) implies:
% 35.84/5.96 | (403) all_54_9 = all_30_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (316), (379) imply:
% 35.84/5.96 | (404) all_54_13 = all_28_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (404) implies:
% 35.84/5.96 | (405) all_54_13 = all_28_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (312), (371) imply:
% 35.84/5.96 | (406) all_54_2 = all_34_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (311), (371) imply:
% 35.84/5.96 | (407) all_54_2 = all_46_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (307), (308) imply:
% 35.84/5.96 | (408) all_54_6 = all_40_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (408) implies:
% 35.84/5.96 | (409) all_54_6 = all_40_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (303), (304) imply:
% 35.84/5.96 | (410) all_54_10 = all_38_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (410) implies:
% 35.84/5.96 | (411) all_54_10 = all_38_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (295), (381) imply:
% 35.84/5.96 | (412) all_54_14 = all_20_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (412) implies:
% 35.84/5.96 | (413) all_54_14 = all_20_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (291), (383) imply:
% 35.84/5.96 | (414) all_54_3 = all_48_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (414) implies:
% 35.84/5.96 | (415) all_54_3 = all_48_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (286), (287) imply:
% 35.84/5.96 | (416) all_54_7 = all_42_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (416) implies:
% 35.84/5.96 | (417) all_54_7 = all_42_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (282), (283) imply:
% 35.84/5.96 | (418) all_54_11 = all_38_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (418) implies:
% 35.84/5.96 | (419) all_54_11 = all_38_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (278), (279) imply:
% 35.84/5.96 | (420) all_52_3 = all_20_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (420) implies:
% 35.84/5.96 | (421) all_52_3 = all_20_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (353), (391) imply:
% 35.84/5.96 | (422) all_52_0 = all_4_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (422) implies:
% 35.84/5.96 | (423) all_52_0 = all_4_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (332), (399) imply:
% 35.84/5.96 | (424) all_32_0 = all_14_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (424) implies:
% 35.84/5.96 | (425) all_32_0 = all_14_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (406), (407) imply:
% 35.84/5.96 | (426) all_46_0 = all_34_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (426) implies:
% 35.84/5.96 | (427) all_46_0 = all_34_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (290), (415) imply:
% 35.84/5.96 | (428) all_48_0 = all_4_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (361), (393) imply:
% 35.84/5.96 | (429) all_50_0 = all_6_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (429) implies:
% 35.84/5.96 | (430) all_50_0 = all_6_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (328), (401) imply:
% 35.84/5.96 | (431) all_52_1 = all_6_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (431) implies:
% 35.84/5.96 | (432) all_52_1 = all_6_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (373), (409) imply:
% 35.84/5.96 | (433) all_40_0 = all_26_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (385), (417) imply:
% 35.84/5.96 | (434) all_44_0 = all_42_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (434) implies:
% 35.84/5.96 | (435) all_44_0 = all_42_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (394), (395) imply:
% 35.84/5.96 | (436) all_24_0 = all_18_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (436) implies:
% 35.84/5.96 | (437) all_24_0 = all_18_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (369), (403) imply:
% 35.84/5.96 | (438) all_30_0 = all_12_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (302), (411) imply:
% 35.84/5.96 | (439) all_38_1 = all_30_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (301), (411) imply:
% 35.84/5.96 | (440) all_52_2 = all_38_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (440) implies:
% 35.84/5.96 | (441) all_52_2 = all_38_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (387), (419) imply:
% 35.84/5.96 | (442) all_38_0 = all_22_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (336), (397) imply:
% 35.84/5.96 | (443) all_16_0 = all_10_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (315), (405) imply:
% 35.84/5.96 | (444) all_36_0 = all_28_0
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (444) implies:
% 35.84/5.96 | (445) all_36_0 = all_28_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (294), (413) imply:
% 35.84/5.96 | (446) all_20_0 = all_8_0
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (277), (389) imply:
% 35.84/5.96 | (447) all_36_1 = all_10_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (447) implies:
% 35.84/5.96 | (448) all_36_1 = all_10_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (352), (423) imply:
% 35.84/5.96 | (449) all_48_1 = all_4_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (449) implies:
% 35.84/5.96 | (450) all_48_1 = all_4_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (327), (432) imply:
% 35.84/5.96 | (451) all_42_1 = all_6_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (451) implies:
% 35.84/5.96 | (452) all_42_1 = all_6_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (375), (441) imply:
% 35.84/5.96 | (453) all_38_1 = all_12_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (453) implies:
% 35.84/5.96 | (454) all_38_1 = all_12_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (276), (421) imply:
% 35.84/5.96 | (455) all_36_1 = all_20_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (455) implies:
% 35.84/5.96 | (456) all_36_1 = all_20_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (323), (326) imply:
% 35.84/5.96 | (457) all_44_1 = all_26_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (323), (325) imply:
% 35.84/5.96 | (458) all_44_1 = all_40_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (323), (324) imply:
% 35.84/5.96 | (459) all_44_1 = all_42_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (351), (450) imply:
% 35.84/5.96 | (460) all_32_1 = all_4_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (460) implies:
% 35.84/5.96 | (461) all_32_1 = all_4_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (349), (350) imply:
% 35.84/5.96 | (462) all_34_1 = all_14_1
% 35.84/5.96 |
% 35.84/5.96 | SIMP: (462) implies:
% 35.84/5.96 | (463) all_34_1 = all_14_1
% 35.84/5.96 |
% 35.84/5.96 | COMBINE_EQS: (457), (458) imply:
% 35.84/5.96 | (464) all_40_1 = all_26_1
% 35.84/5.96 |
% 35.84/5.97 | COMBINE_EQS: (458), (459) imply:
% 35.84/5.97 | (465) all_42_1 = all_40_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (465) implies:
% 35.84/5.97 | (466) all_42_1 = all_40_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (452), (466) imply:
% 35.84/5.97 | (467) all_40_1 = all_6_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (467) implies:
% 35.84/5.97 | (468) all_40_1 = all_6_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (464), (468) imply:
% 35.84/5.97 | (469) all_26_1 = all_6_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (469) implies:
% 35.84/5.97 | (470) all_26_1 = all_6_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (439), (454) imply:
% 35.84/5.97 | (471) all_30_1 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (471) implies:
% 35.84/5.97 | (472) all_30_1 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (274), (448) imply:
% 35.84/5.97 | (473) all_28_1 = all_10_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (274), (275) imply:
% 35.84/5.97 | (474) all_28_1 = all_16_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (274), (456) imply:
% 35.84/5.97 | (475) all_28_1 = all_20_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (348), (463) imply:
% 35.84/5.97 | (476) all_32_1 = all_14_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (476) implies:
% 35.84/5.97 | (477) all_32_1 = all_14_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (461), (477) imply:
% 35.84/5.97 | (478) all_14_1 = all_4_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (478) implies:
% 35.84/5.97 | (479) all_14_1 = all_4_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (300), (472) imply:
% 35.84/5.97 | (480) all_24_1 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (480) implies:
% 35.84/5.97 | (481) all_24_1 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (474), (475) imply:
% 35.84/5.97 | (482) all_20_1 = all_16_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (473), (475) imply:
% 35.84/5.97 | (483) all_20_1 = all_10_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (299), (481) imply:
% 35.84/5.97 | (484) all_22_1 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (484) implies:
% 35.84/5.97 | (485) all_22_1 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (298), (485) imply:
% 35.84/5.97 | (486) all_18_1 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (486) implies:
% 35.84/5.97 | (487) all_18_1 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (482), (483) imply:
% 35.84/5.97 | (488) all_16_1 = all_10_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (488) implies:
% 35.84/5.97 | (489) all_16_1 = all_10_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (273), (489) imply:
% 35.84/5.97 | (490) all_10_1 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (490) implies:
% 35.84/5.97 | (491) all_10_1 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (483), (491) imply:
% 35.84/5.97 | (492) all_20_1 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (475), (492) imply:
% 35.84/5.97 | (493) all_28_1 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (463), (479) imply:
% 35.84/5.97 | (494) all_34_1 = all_4_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (274), (493) imply:
% 35.84/5.97 | (495) all_36_1 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (458), (468) imply:
% 35.84/5.97 | (496) all_44_1 = all_6_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (350), (479) imply:
% 35.84/5.97 | (497) all_46_1 = all_4_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (323), (496) imply:
% 35.84/5.97 | (498) all_50_1 = all_6_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (421), (492) imply:
% 35.84/5.97 | (499) all_52_3 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (389), (491) imply:
% 35.84/5.97 | (500) all_54_15 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (411), (454) imply:
% 35.84/5.97 | (501) all_54_10 = all_12_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (279), (492) imply:
% 35.84/5.97 | (502) all_56_15 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (283), (442) imply:
% 35.84/5.97 | (503) all_56_14 = all_22_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (383), (428) imply:
% 35.84/5.97 | (504) all_56_12 = all_4_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (381), (446) imply:
% 35.84/5.97 | (505) all_56_11 = all_8_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (308), (433) imply:
% 35.84/5.97 | (506) all_56_9 = all_26_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (320), (438) imply:
% 35.84/5.97 | (507) all_56_6 = all_12_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (376), (443) imply:
% 35.84/5.97 | (508) all_56_3 = all_10_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (281), (491) imply:
% 35.84/5.97 | (509) all_58_15 = all_8_1
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (289), (435) imply:
% 35.84/5.97 | (510) all_58_13 = all_42_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (293), (428) imply:
% 35.84/5.97 | (511) all_58_12 = all_4_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (297), (446) imply:
% 35.84/5.97 | (512) all_58_11 = all_8_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (337), (508) imply:
% 35.84/5.97 | (513) all_58_9 = all_10_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (314), (406) imply:
% 35.84/5.97 | (514) all_58_6 = all_34_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (343), (394) imply:
% 35.84/5.97 | (515) all_58_4 = all_18_0
% 35.84/5.97 |
% 35.84/5.97 | COMBINE_EQS: (346), (393) imply:
% 35.84/5.97 | (516) all_58_1 = all_6_0
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (188), (391), (399) imply:
% 35.84/5.97 | (517) ~ (all_14_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (517) implies:
% 35.84/5.97 | (518) ~ (all_14_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (187), (391), (406) imply:
% 35.84/5.97 | (519) ~ (all_34_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (519) implies:
% 35.84/5.97 | (520) ~ (all_34_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (186), (290), (391) imply:
% 35.84/5.97 | (521) ~ (all_4_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (521) implies:
% 35.84/5.97 | (522) ~ (all_4_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (185), (391), (393) imply:
% 35.84/5.97 | (523) ~ (all_6_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (523) implies:
% 35.84/5.97 | (524) ~ (all_6_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (184), (391), (394) imply:
% 35.84/5.97 | (525) ~ (all_18_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (525) implies:
% 35.84/5.97 | (526) ~ (all_18_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (183), (336), (391) imply:
% 35.84/5.97 | (527) ~ (all_10_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (527) implies:
% 35.84/5.97 | (528) ~ (all_10_0 = all_4_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (182), (399), (406) imply:
% 35.84/5.97 | (529) ~ (all_34_0 = all_14_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (529) implies:
% 35.84/5.97 | (530) ~ (all_34_0 = all_14_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (181), (290), (399) imply:
% 35.84/5.97 | (531) ~ (all_14_0 = all_4_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (180), (399), (401) imply:
% 35.84/5.97 | (532) ~ (all_14_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (179), (369), (399) imply:
% 35.84/5.97 | (533) ~ (all_14_0 = all_12_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (178), (399), (405) imply:
% 35.84/5.97 | (534) ~ (all_28_0 = all_14_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (534) implies:
% 35.84/5.97 | (535) ~ (all_28_0 = all_14_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (177), (290), (406) imply:
% 35.84/5.97 | (536) ~ (all_34_0 = all_4_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (176), (373), (406) imply:
% 35.84/5.97 | (537) ~ (all_34_0 = all_26_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (175), (294), (406) imply:
% 35.84/5.97 | (538) ~ (all_34_0 = all_8_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (174), (290), (417) imply:
% 35.84/5.97 | (539) ~ (all_42_0 = all_4_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (539) implies:
% 35.84/5.97 | (540) ~ (all_42_0 = all_4_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (173), (290), (387) imply:
% 35.84/5.97 | (541) ~ (all_22_0 = all_4_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (541) implies:
% 35.84/5.97 | (542) ~ (all_22_0 = all_4_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (172), (290), (500) imply:
% 35.84/5.97 | (543) ~ (all_8_1 = all_4_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (543) implies:
% 35.84/5.97 | (544) ~ (all_8_1 = all_4_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (171), (393), (401) imply:
% 35.84/5.97 | (545) ~ (all_6_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (170), (373), (393) imply:
% 35.84/5.97 | (546) ~ (all_26_0 = all_6_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (546) implies:
% 35.84/5.97 | (547) ~ (all_26_0 = all_6_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (169), (393), (417) imply:
% 35.84/5.97 | (548) ~ (all_42_0 = all_6_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (548) implies:
% 35.84/5.97 | (549) ~ (all_42_0 = all_6_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (168), (393), (394) imply:
% 35.84/5.97 | (550) ~ (all_18_0 = all_6_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (550) implies:
% 35.84/5.97 | (551) ~ (all_18_0 = all_6_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (167), (336), (393) imply:
% 35.84/5.97 | (552) ~ (all_10_0 = all_6_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (552) implies:
% 35.84/5.97 | (553) ~ (all_10_0 = all_6_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (166), (373), (401) imply:
% 35.84/5.97 | (554) ~ (all_26_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (554) implies:
% 35.84/5.97 | (555) ~ (all_26_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (165), (401), (417) imply:
% 35.84/5.97 | (556) ~ (all_42_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (556) implies:
% 35.84/5.97 | (557) ~ (all_42_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (164), (369), (401) imply:
% 35.84/5.97 | (558) ~ (all_12_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (558) implies:
% 35.84/5.97 | (559) ~ (all_12_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (163), (401), (405) imply:
% 35.84/5.97 | (560) ~ (all_28_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (560) implies:
% 35.84/5.97 | (561) ~ (all_28_0 = all_6_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (162), (373), (417) imply:
% 35.84/5.97 | (562) ~ (all_42_0 = all_26_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (562) implies:
% 35.84/5.97 | (563) ~ (all_42_0 = all_26_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (161), (294), (373) imply:
% 35.84/5.97 | (564) ~ (all_26_0 = all_8_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (160), (387), (417) imply:
% 35.84/5.97 | (565) ~ (all_42_0 = all_22_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (159), (417), (500) imply:
% 35.84/5.97 | (566) ~ (all_42_0 = all_8_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (158), (369), (394) imply:
% 35.84/5.97 | (567) ~ (all_18_0 = all_12_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (157), (394), (501) imply:
% 35.84/5.97 | (568) ~ (all_18_0 = all_12_1)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (156), (387), (394) imply:
% 35.84/5.97 | (569) ~ (all_22_0 = all_18_0)
% 35.84/5.97 |
% 35.84/5.97 | SIMP: (569) implies:
% 35.84/5.97 | (570) ~ (all_22_0 = all_18_0)
% 35.84/5.97 |
% 35.84/5.97 | REDUCE: (155), (336), (394) imply:
% 35.84/5.97 | (571) ~ (all_18_0 = all_10_0)
% 35.84/5.97 |
% 35.84/5.98 | REDUCE: (154), (369), (501) imply:
% 35.84/5.98 | (572) ~ (all_12_0 = all_12_1)
% 35.84/5.98 |
% 35.84/5.98 | REDUCE: (153), (369), (387) imply:
% 35.84/5.98 | (573) ~ (all_22_0 = all_12_0)
% 35.84/5.98 |
% 35.84/5.98 | SIMP: (573) implies:
% 35.84/5.98 | (574) ~ (all_22_0 = all_12_0)
% 35.84/5.98 |
% 35.84/5.98 | REDUCE: (152), (369), (405) imply:
% 35.84/5.98 | (575) ~ (all_28_0 = all_12_0)
% 35.84/5.98 |
% 35.84/5.98 | SIMP: (575) implies:
% 35.84/5.98 | (576) ~ (all_28_0 = all_12_0)
% 35.84/5.98 |
% 35.84/5.98 | REDUCE: (151), (387), (501) imply:
% 35.84/5.98 | (577) ~ (all_22_0 = all_12_1)
% 35.84/5.98 |
% 35.84/5.98 | SIMP: (577) implies:
% 35.84/5.98 | (578) ~ (all_22_0 = all_12_1)
% 35.84/5.98 |
% 35.84/5.98 | REDUCE: (150), (387), (500) imply:
% 35.84/5.98 | (579) ~ (all_22_0 = all_8_1)
% 35.84/5.98 |
% 35.84/5.98 | REDUCE: (149), (336), (405) imply:
% 35.84/5.98 | (580) ~ (all_28_0 = all_10_0)
% 35.84/5.98 |
% 35.84/5.98 | SIMP: (580) implies:
% 35.84/5.98 | (581) ~ (all_28_0 = all_10_0)
% 35.84/5.98 |
% 35.84/5.98 | REDUCE: (148), (294), (336) imply:
% 35.84/5.98 | (582) ~ (all_10_0 = all_8_0)
% 35.84/5.98 |
% 35.84/5.98 | REDUCE: (147), (294), (405) imply:
% 35.84/5.98 | (583) ~ (all_28_0 = all_8_0)
% 35.84/5.98 |
% 35.84/5.98 | REDUCE: (146), (294), (500) imply:
% 35.84/5.98 | (584) ~ (all_8_0 = all_8_1)
% 35.84/5.98 |
% 35.84/5.98 | BETA: splitting (46) gives:
% 35.84/5.98 |
% 35.84/5.98 | Case 1:
% 35.84/5.98 | |
% 35.84/5.98 | | (585) ~ (all_4_0 = e1)
% 35.84/5.98 | |
% 35.84/5.98 | | BETA: splitting (50) gives:
% 35.84/5.98 | |
% 35.84/5.98 | | Case 1:
% 35.84/5.98 | | |
% 35.84/5.98 | | | (586) ~ (all_6_1 = e1)
% 35.84/5.98 | | |
% 35.84/5.98 | | | BETA: splitting (54) gives:
% 35.84/5.98 | | |
% 35.84/5.98 | | | Case 1:
% 35.84/5.98 | | | |
% 35.84/5.98 | | | | (587) ~ (all_8_0 = e2)
% 35.84/5.98 | | | |
% 35.84/5.98 | | | | BETA: splitting (9) gives:
% 35.84/5.98 | | | |
% 35.84/5.98 | | | | Case 1:
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | (588) unit = e3
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (8), (588) imply:
% 35.84/5.98 | | | | | (589) op(e3, e2) = e2
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (7), (588) imply:
% 35.84/5.98 | | | | | (590) op(e3, e1) = e1
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (6), (588) imply:
% 35.84/5.98 | | | | | (591) op(e3, e0) = e0
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (3), (588) imply:
% 35.84/5.98 | | | | | (592) op(e1, e3) = e1
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (2), (588) imply:
% 35.84/5.98 | | | | | (593) op(e0, e3) = e0
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e0, e3, e0,
% 35.84/5.98 | | | | | simplifying with (44), (593) gives:
% 35.84/5.98 | | | | | (594) all_4_0 = e0
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | GROUND_INST: instantiating (function-axioms) with all_34_0, e1, e3,
% 35.84/5.98 | | | | | e1, simplifying with (104), (592) gives:
% 35.84/5.98 | | | | | (595) all_34_0 = e1
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | GROUND_INST: instantiating (function-axioms) with all_10_0, e0, e0,
% 35.84/5.98 | | | | | e3, simplifying with (57), (591) gives:
% 35.84/5.98 | | | | | (596) all_10_0 = e0
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0, e1, e1,
% 35.84/5.98 | | | | | e3, simplifying with (73), (590) gives:
% 35.84/5.98 | | | | | (597) all_18_0 = e1
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | GROUND_INST: instantiating (function-axioms) with all_6_0, e2, e2, e3,
% 35.84/5.98 | | | | | simplifying with (49), (589) gives:
% 35.84/5.98 | | | | | (598) all_6_0 = e2
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | COMBINE_EQS: (514), (595) imply:
% 35.84/5.98 | | | | | (599) all_58_6 = e1
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (538), (595) imply:
% 35.84/5.98 | | | | | (600) ~ (all_8_0 = e1)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | SIMP: (600) implies:
% 35.84/5.98 | | | | | (601) ~ (all_8_0 = e1)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (547), (598) imply:
% 35.84/5.98 | | | | | (602) ~ (all_26_0 = e2)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (551), (597), (598) imply:
% 35.84/5.98 | | | | | (603) ~ (e2 = e1)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (582), (596) imply:
% 35.84/5.98 | | | | | (604) ~ (all_8_0 = e0)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | SIMP: (604) implies:
% 35.84/5.98 | | | | | (605) ~ (all_8_0 = e0)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (553), (596), (598) imply:
% 35.84/5.98 | | | | | (606) ~ (e2 = e0)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (545), (598) imply:
% 35.84/5.98 | | | | | (607) ~ (all_6_1 = e2)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | SIMP: (607) implies:
% 35.84/5.98 | | | | | (608) ~ (all_6_1 = e2)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | REDUCE: (585), (594) imply:
% 35.84/5.98 | | | | | (609) ~ (e1 = e0)
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | BETA: splitting (226) gives:
% 35.84/5.98 | | | | |
% 35.84/5.98 | | | | | Case 1:
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | (610) all_56_11 = e3
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | COMBINE_EQS: (505), (610) imply:
% 35.84/5.98 | | | | | | (611) all_8_0 = e3
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | SIMP: (611) implies:
% 35.84/5.98 | | | | | | (612) all_8_0 = e3
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | COMBINE_EQS: (512), (612) imply:
% 35.84/5.98 | | | | | | (613) all_58_11 = e3
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | BETA: splitting (258) gives:
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | Case 1:
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | (614) all_58_6 = e2
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | COMBINE_EQS: (599), (614) imply:
% 35.84/5.98 | | | | | | | (615) e2 = e1
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | REDUCE: (14), (615) imply:
% 35.84/5.98 | | | | | | | (616) $false
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | CLOSE: (616) is inconsistent.
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | Case 2:
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | (617) ~ (all_58_6 = e2)
% 35.84/5.98 | | | | | | | (618) all_58_7 = e2 | all_58_8 = e2 | all_58_11 = e2
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | BETA: splitting (618) gives:
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | Case 1:
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | | (619) all_58_7 = e2
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | | COMBINE_EQS: (310), (619) imply:
% 35.84/5.98 | | | | | | | | (620) all_26_0 = e2
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | | REDUCE: (602), (620) imply:
% 35.84/5.98 | | | | | | | | (621) $false
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | | CLOSE: (621) is inconsistent.
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | Case 2:
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | | (622) all_58_8 = e2 | all_58_11 = e2
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | | BETA: splitting (622) gives:
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | | Case 1:
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | (623) all_58_8 = e2
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | COMBINE_EQS: (306), (623) imply:
% 35.84/5.98 | | | | | | | | | (624) all_12_1 = e2
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | COMBINE_EQS: (375), (624) imply:
% 35.84/5.98 | | | | | | | | | (625) all_52_2 = e2
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | REF_CLOSE: (12), (13), (14), (16), (17), (144), (432), (586),
% 35.84/5.98 | | | | | | | | | (608), (625) are inconsistent by sub-proof #57.
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | Case 2:
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | (626) all_58_11 = e2
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | COMBINE_EQS: (613), (626) imply:
% 35.84/5.98 | | | | | | | | | (627) e3 = e2
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | SIMP: (627) implies:
% 35.84/5.98 | | | | | | | | | (628) e3 = e2
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | REDUCE: (17), (628) imply:
% 35.84/5.98 | | | | | | | | | (629) $false
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | | CLOSE: (629) is inconsistent.
% 35.84/5.98 | | | | | | | | |
% 35.84/5.98 | | | | | | | | End of split
% 35.84/5.98 | | | | | | | |
% 35.84/5.98 | | | | | | | End of split
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | End of split
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | Case 2:
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | (630) all_56_11 = e2 | all_56_11 = e1 | all_56_11 = e0
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | BETA: splitting (630) gives:
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | | Case 1:
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | (631) all_56_11 = e2
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | REF_CLOSE: (505), (587), (631) are inconsistent by sub-proof #56.
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | Case 2:
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | (632) all_56_11 = e1 | all_56_11 = e0
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | | REF_CLOSE: (505), (601), (605), (632) are inconsistent by
% 35.84/5.98 | | | | | | | sub-proof #55.
% 35.84/5.98 | | | | | | |
% 35.84/5.98 | | | | | | End of split
% 35.84/5.98 | | | | | |
% 35.84/5.98 | | | | | End of split
% 35.84/5.98 | | | | |
% 35.84/5.99 | | | | Case 2:
% 35.84/5.99 | | | | |
% 35.84/5.99 | | | | | (633) unit = e2 | unit = e1 | unit = e0
% 35.84/5.99 | | | | |
% 35.84/5.99 | | | | | BETA: splitting (58) gives:
% 35.84/5.99 | | | | |
% 35.84/5.99 | | | | | Case 1:
% 35.84/5.99 | | | | | |
% 35.84/5.99 | | | | | | (634) ~ (all_10_0 = e2)
% 35.84/5.99 | | | | | |
% 35.84/5.99 | | | | | | BETA: splitting (62) gives:
% 35.84/5.99 | | | | | |
% 35.84/5.99 | | | | | | Case 1:
% 35.84/5.99 | | | | | | |
% 35.84/5.99 | | | | | | | (635) ~ (all_12_0 = e3)
% 35.84/5.99 | | | | | | |
% 35.84/5.99 | | | | | | | BETA: splitting (66) gives:
% 35.84/5.99 | | | | | | |
% 35.84/5.99 | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | |
% 35.84/5.99 | | | | | | | | (636) ~ (all_14_1 = e1)
% 35.84/5.99 | | | | | | | |
% 35.84/5.99 | | | | | | | | REDUCE: (479), (636) imply:
% 35.84/5.99 | | | | | | | | (637) ~ (all_4_1 = e1)
% 35.84/5.99 | | | | | | | |
% 35.84/5.99 | | | | | | | | BETA: splitting (70) gives:
% 35.84/5.99 | | | | | | | |
% 35.84/5.99 | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | |
% 35.84/5.99 | | | | | | | | | (638) ~ (all_16_0 = e1)
% 35.84/5.99 | | | | | | | | |
% 35.84/5.99 | | | | | | | | | REDUCE: (443), (638) imply:
% 35.84/5.99 | | | | | | | | | (639) ~ (all_10_0 = e1)
% 35.84/5.99 | | | | | | | | |
% 35.84/5.99 | | | | | | | | | BETA: splitting (74) gives:
% 35.84/5.99 | | | | | | | | |
% 35.84/5.99 | | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | (640) ~ (all_18_0 = e2)
% 35.84/5.99 | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | BETA: splitting (78) gives:
% 35.84/5.99 | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | (641) ~ (all_20_0 = e3)
% 35.84/5.99 | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | REDUCE: (446), (641) imply:
% 35.84/5.99 | | | | | | | | | | | (642) ~ (all_8_0 = e3)
% 35.84/5.99 | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | BETA: splitting (82) gives:
% 35.84/5.99 | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | (643) ~ (all_22_0 = e3)
% 35.84/5.99 | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | BETA: splitting (86) gives:
% 35.84/5.99 | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | (644) ~ (all_24_1 = e2)
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | REDUCE: (481), (644) imply:
% 35.84/5.99 | | | | | | | | | | | | | (645) ~ (all_12_1 = e2)
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | REF_CLOSE: (12), (14), (15), (16), (17), (90), (98), (102),
% 35.84/5.99 | | | | | | | | | | | | | (122), (144), (226), (229), (251), (255), (259),
% 35.84/5.99 | | | | | | | | | | | | | (268), (285), (306), (310), (318), (335), (356),
% 35.84/5.99 | | | | | | | | | | | | | (375), (423), (425), (432), (438), (452), (461),
% 35.84/5.99 | | | | | | | | | | | | | (470), (472), (499), (505), (507), (509), (510),
% 35.84/5.99 | | | | | | | | | | | | | (511), (512), (513), (514), (538), (555), (559),
% 35.84/5.99 | | | | | | | | | | | | | (574), (576), (584), (585), (586), (587), (634),
% 35.84/5.99 | | | | | | | | | | | | | (637), (642), (645) are inconsistent by sub-proof
% 35.84/5.99 | | | | | | | | | | | | | #43.
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | Case 2:
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | (646) all_24_1 = e2
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | COMBINE_EQS: (481), (646) imply:
% 35.84/5.99 | | | | | | | | | | | | | (647) all_12_1 = e2
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | SIMP: (647) implies:
% 35.84/5.99 | | | | | | | | | | | | | (648) all_12_1 = e2
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | COMBINE_EQS: (375), (648) imply:
% 35.84/5.99 | | | | | | | | | | | | | (649) all_52_2 = e2
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | COMBINE_EQS: (306), (648) imply:
% 35.84/5.99 | | | | | | | | | | | | | (650) all_58_8 = e2
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | REDUCE: (578), (648) imply:
% 35.84/5.99 | | | | | | | | | | | | | (651) ~ (all_22_0 = e2)
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | REDUCE: (572), (648) imply:
% 35.84/5.99 | | | | | | | | | | | | | (652) ~ (all_12_0 = e2)
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | REDUCE: (60), (648) imply:
% 35.84/5.99 | | | | | | | | | | | | | (653) op(e1, e1) = e2
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | BETA: splitting (144) gives:
% 35.84/5.99 | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | (654) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 35.84/5.99 | | | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 35.84/5.99 | | | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 35.84/5.99 | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | BETA: splitting (654) gives:
% 35.84/5.99 | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | (655) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 35.84/5.99 | | | | | | | | | | | | | | | all_52_3 = e3
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | REF_CLOSE: (17), (649), (655) are inconsistent by sub-proof
% 35.84/5.99 | | | | | | | | | | | | | | | #61.
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | Case 2:
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | (656) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 35.84/5.99 | | | | | | | | | | | | | | | all_52_3 = e2
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | ALPHA: (656) implies:
% 35.84/5.99 | | | | | | | | | | | | | | | (657) all_52_3 = e2
% 35.84/5.99 | | | | | | | | | | | | | | | (658) all_52_1 = e2
% 35.84/5.99 | | | | | | | | | | | | | | | (659) all_52_0 = e2
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | COMBINE_EQS: (423), (659) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | (660) all_4_1 = e2
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | COMBINE_EQS: (432), (658) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | (661) all_6_1 = e2
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | COMBINE_EQS: (499), (657) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | (662) all_8_1 = e2
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | SIMP: (662) implies:
% 35.84/5.99 | | | | | | | | | | | | | | | (663) all_8_1 = e2
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | COMBINE_EQS: (509), (663) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | (664) all_58_15 = e2
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | COMBINE_EQS: (356), (660) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | (665) all_58_0 = e2
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | REDUCE: (524), (660) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | (666) ~ (all_6_0 = e2)
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 35.84/5.99 | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | (667) all_58_4 = e3
% 35.84/5.99 | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (667) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | | (668) all_18_0 = e3
% 35.84/5.99 | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | REDUCE: (571), (668) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | | (669) ~ (all_10_0 = e3)
% 35.84/5.99 | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | SIMP: (669) implies:
% 35.84/5.99 | | | | | | | | | | | | | | | | (670) ~ (all_10_0 = e3)
% 35.84/5.99 | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | REDUCE: (551), (668) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | | (671) ~ (all_6_0 = e3)
% 35.84/5.99 | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | SIMP: (671) implies:
% 35.84/5.99 | | | | | | | | | | | | | | | | (672) ~ (all_6_0 = e3)
% 35.84/5.99 | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 35.84/5.99 | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | Case 1:
% 35.84/5.99 | | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | | (673) all_56_3 = e3
% 35.84/5.99 | | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (673) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | | | (674) all_10_0 = e3
% 35.84/5.99 | | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | | REDUCE: (670), (674) imply:
% 35.84/5.99 | | | | | | | | | | | | | | | | | (675) $false
% 35.84/5.99 | | | | | | | | | | | | | | | | |
% 35.84/5.99 | | | | | | | | | | | | | | | | | CLOSE: (675) is inconsistent.
% 35.84/5.99 | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | Case 2:
% 36.50/5.99 | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | (676) ~ (all_56_3 = e3)
% 36.50/5.99 | | | | | | | | | | | | | | | | | (677) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 36.50/5.99 | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 36.50/5.99 | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/5.99 | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | (678) all_58_9 = e3
% 36.50/5.99 | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (678) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | (679) all_10_0 = e3
% 36.50/5.99 | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | REDUCE: (670), (679) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | (680) $false
% 36.50/5.99 | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | CLOSE: (680) is inconsistent.
% 36.50/5.99 | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | Case 2:
% 36.50/5.99 | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | (681) all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3
% 36.50/5.99 | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | BETA: splitting (681) gives:
% 36.50/5.99 | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | (682) all_58_10 = e3
% 36.50/5.99 | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (682) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | (683) all_28_0 = e3
% 36.50/5.99 | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | REDUCE: (576), (683) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | (684) ~ (all_12_0 = e3)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | REDUCE: (583), (683) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | (685) ~ (all_8_0 = e3)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | REDUCE: (93), (683) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | (686) op(e2, e0) = e3
% 36.50/5.99 | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (677) gives:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | (687) all_56_3 = e2
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (687) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | (688) all_10_0 = e2
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (634), (688) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | (689) $false
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | CLOSE: (689) is inconsistent.
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | (690) all_56_3 = e1 | all_56_3 = e0
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | (691) all_58_9 = e1
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (691) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | (692) all_10_0 = e1
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (692) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | (693) $false
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | CLOSE: (693) is inconsistent.
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | (694) ~ (all_58_9 = e1)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | (695) all_58_10 = e1 | all_58_11 = e1 | all_58_15 = e1
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (695) gives:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | (696) all_58_10 = e1
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (682), (696) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | (697) e3 = e1
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (697) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | (698) $false
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (698) is inconsistent.
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | (699) ~ (all_58_10 = e1)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | (700) all_58_11 = e1 | all_58_15 = e1
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (701) all_56_3 = e1
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (701) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (702) all_10_0 = e1
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (702) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (703) $false
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (703) is inconsistent.
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (704) all_56_3 = e0
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (704) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (705) all_10_0 = e0
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (705) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (706) ~ (all_8_0 = e0)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (706) implies:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (707) ~ (all_8_0 = e0)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (705) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (708) ~ (all_6_0 = e0)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (708) implies:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (709) ~ (all_6_0 = e0)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (705) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (710) ~ (e1 = e0)
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (705) imply:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | (711) op(e3, e0) = e0
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | | (712) all_56_1 = e3
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (344), (672), (712) are inconsistent by sub-proof
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | | #42.
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/5.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | (713) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (713) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | (714) all_56_1 = e2
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (344), (666), (714) are inconsistent by sub-proof
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | (715) all_56_1 = e1 | all_56_1 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (700) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (716) all_58_11 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (716) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (717) all_8_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (717) implies:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (718) all_8_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (718) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (719) ~ (all_34_0 = e1)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (642), (718) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (720) ~ (e3 = e1)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (718) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (721) ~ (e2 = e1)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) all_58_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (722) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) e2 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (723) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) all_52_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (724) are
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (725) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) all_58_2 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (726) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) all_14_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (727) implies:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) all_14_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (728) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) ~ (all_12_0 = e1)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (729) implies:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) ~ (all_12_0 = e1)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) all_56_6 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (731) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_12_0 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (732) implies:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) all_12_0 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (733) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) $false
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (734) is inconsistent.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_58_1 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (736) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) all_6_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (737) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) op(e3, e2) = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_56_6 = e2
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (652), (739) are inconsistent by sub-proof
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_56_6 = e1 | all_56_6 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (740) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) all_56_6 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (741) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_12_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (742) implies:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_12_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (743) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) $false
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (744) is inconsistent.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_56_6 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (745) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) all_12_0 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (746) implies:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) all_12_0 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (747) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) op(e2, e1) = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) unit = e2
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (749) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) op(e2, e0) = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (749) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) op(e3, e2) = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (686), (750) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) e3 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (738), (751) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) e3 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (752), (753) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) e1 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (754) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) $false
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (755) is inconsistent.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) ~ (unit = e2)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) unit = e1 | unit = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (757) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) unit = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (758) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) op(e2, e1) = e2
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (758) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) op(e1, e1) = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e1,
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (653), (760) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) e2 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e1,
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (748), (759) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) e2 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (761), (762) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) e1 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (763) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) $false
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (764) is inconsistent.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) unit = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (765) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) ~ (e2 = e0)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (765) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) op(e3, e0) = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (765) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) op(e2, e0) = e2
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e0,
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (686), (768) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) e3 = e2
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e0,
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (711), (767) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) e3 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (770) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) e2 = e0
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (771) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) $false
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (772) is inconsistent.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) ~ (all_58_1 = e1)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (773) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) ~ (all_6_0 = e1)
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (344), (709), (715), (774) are inconsistent by
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) all_58_6 = e1 | all_58_12 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (511), (514), (585), (719), (775) are inconsistent
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #48.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_58_15 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (776) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (777) e2 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (777) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_52_0 = e1
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (778) are
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | (779) all_58_11 = e3 | all_58_15 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (512), (642), (664), (779) are inconsistent
% 36.50/6.00 | | | | | | | | | | | | | | | | | | | by sub-proof #38.
% 36.50/6.00 | | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | End of split
% 36.50/6.00 | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | (780) all_58_5 = e3 | all_58_8 = e3 | all_58_14 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | BETA: splitting (780) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | (781) all_58_5 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (781) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | (782) all_12_0 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | REDUCE: (635), (782) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | (783) $false
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | CLOSE: (783) is inconsistent.
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | (784) all_58_8 = e3 | all_58_14 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | BETA: splitting (784) gives:
% 36.50/6.00 | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.00 | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | (785) all_58_8 = e3
% 36.50/6.00 | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (650), (785) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | (786) e3 = e2
% 36.50/6.00 | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | SIMP: (786) implies:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | (787) e3 = e2
% 36.50/6.00 | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | REDUCE: (17), (787) imply:
% 36.50/6.00 | | | | | | | | | | | | | | | | | | (788) $false
% 36.50/6.00 | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | | CLOSE: (788) is inconsistent.
% 36.50/6.00 | | | | | | | | | | | | | | | | | |
% 36.50/6.00 | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.00 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (789) all_58_14 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (789) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (790) all_22_0 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | REDUCE: (643), (790) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (791) $false
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | CLOSE: (791) is inconsistent.
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | (792) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.01 | | | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 36.50/6.01 | | | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | BETA: splitting (792) gives:
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | (793) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.01 | | | | | | | | | | | | | | | all_52_3 = e1
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | (794) all_52_0 = e1
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (794) are
% 36.50/6.01 | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | (795) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 36.50/6.01 | | | | | | | | | | | | | | | all_52_3 = e0
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | (796) all_52_2 = e0
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | COMBINE_EQS: (649), (796) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | (797) e2 = e0
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | COMBINE_EQS: (650), (797) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | (798) all_58_8 = e0
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | REF_CLOSE: (13), (260), (285), (322), (515), (640), (651),
% 36.50/6.01 | | | | | | | | | | | | | | | (652), (798) are inconsistent by sub-proof #35.
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | (799) ~ (all_22_1 = e2)
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | REDUCE: (485), (799) imply:
% 36.50/6.01 | | | | | | | | | | | | (800) ~ (all_12_1 = e2)
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | REF_CLOSE: (12), (14), (15), (16), (17), (90), (98), (102),
% 36.50/6.01 | | | | | | | | | | | | (122), (144), (226), (229), (251), (255), (259),
% 36.50/6.01 | | | | | | | | | | | | (268), (285), (306), (310), (318), (335), (356),
% 36.50/6.01 | | | | | | | | | | | | (375), (423), (425), (432), (438), (452), (461),
% 36.50/6.01 | | | | | | | | | | | | (470), (472), (499), (505), (507), (509), (510),
% 36.50/6.01 | | | | | | | | | | | | (511), (512), (513), (514), (538), (555), (559),
% 36.50/6.01 | | | | | | | | | | | | (574), (576), (584), (585), (586), (587), (634),
% 36.50/6.01 | | | | | | | | | | | | (637), (642), (800) are inconsistent by sub-proof
% 36.50/6.01 | | | | | | | | | | | | #43.
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | (801) all_20_0 = e3
% 36.50/6.01 | | | | | | | | | | | (802) ~ (all_20_1 = e2)
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | COMBINE_EQS: (446), (801) imply:
% 36.50/6.01 | | | | | | | | | | | (803) all_8_0 = e3
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | REDUCE: (492), (802) imply:
% 36.50/6.01 | | | | | | | | | | | (804) ~ (all_8_1 = e2)
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | REDUCE: (584), (803) imply:
% 36.50/6.01 | | | | | | | | | | | (805) ~ (all_8_1 = e3)
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | SIMP: (805) implies:
% 36.50/6.01 | | | | | | | | | | | (806) ~ (all_8_1 = e3)
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | BETA: splitting (144) gives:
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | (807) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.01 | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 36.50/6.01 | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | REF_CLOSE: (499), (804), (806), (807) are inconsistent by
% 36.50/6.01 | | | | | | | | | | | | sub-proof #33.
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | (808) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.01 | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 36.50/6.01 | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | BETA: splitting (808) gives:
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | (809) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.01 | | | | | | | | | | | | | all_52_3 = e1
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | ALPHA: (809) implies:
% 36.50/6.01 | | | | | | | | | | | | | (810) all_52_0 = e1
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (810) are
% 36.50/6.01 | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | (811) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 36.50/6.01 | | | | | | | | | | | | | all_52_3 = e0
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | ALPHA: (811) implies:
% 36.50/6.01 | | | | | | | | | | | | | (812) all_52_2 = e0
% 36.50/6.01 | | | | | | | | | | | | | (813) all_52_1 = e0
% 36.50/6.01 | | | | | | | | | | | | | (814) all_52_0 = e0
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | COMBINE_EQS: (423), (814) imply:
% 36.50/6.01 | | | | | | | | | | | | | (815) all_4_1 = e0
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | COMBINE_EQS: (432), (813) imply:
% 36.50/6.01 | | | | | | | | | | | | | (816) all_6_1 = e0
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | COMBINE_EQS: (375), (812) imply:
% 36.50/6.01 | | | | | | | | | | | | | (817) all_12_1 = e0
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | COMBINE_EQS: (461), (815) imply:
% 36.50/6.01 | | | | | | | | | | | | | (818) all_32_1 = e0
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | COMBINE_EQS: (306), (817) imply:
% 36.50/6.01 | | | | | | | | | | | | | (819) all_58_8 = e0
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | REDUCE: (561), (816) imply:
% 36.50/6.01 | | | | | | | | | | | | | (820) ~ (all_28_0 = e0)
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | REDUCE: (518), (815) imply:
% 36.50/6.01 | | | | | | | | | | | | | (821) ~ (all_14_0 = e0)
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | REDUCE: (522), (815) imply:
% 36.50/6.01 | | | | | | | | | | | | | (822) ~ (all_4_0 = e0)
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | BETA: splitting (102) gives:
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | (823) ~ (all_32_0 = e1)
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | REDUCE: (425), (823) imply:
% 36.50/6.01 | | | | | | | | | | | | | | (824) ~ (all_14_0 = e1)
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | (825) all_58_9 = e2
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | REF_CLOSE: (513), (634), (825) are inconsistent by sub-proof
% 36.50/6.01 | | | | | | | | | | | | | | | #32.
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | (826) all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | (827) all_58_2 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (827) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | (828) all_14_0 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | SIMP: (828) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | (829) all_14_0 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | REDUCE: (531), (829) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | (830) ~ (all_4_0 = e3)
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | SIMP: (830) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | (831) ~ (all_4_0 = e3)
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | (832) all_56_12 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (832) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | (833) all_4_0 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | SIMP: (833) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | | (834) all_4_0 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | REDUCE: (831), (834) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | (835) $false
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | CLOSE: (835) is inconsistent.
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | (836) all_56_12 = e2 | all_56_12 = e1 | all_56_12 = e0
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | BETA: splitting (836) gives:
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (837) all_56_12 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (837) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (838) all_4_0 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | SIMP: (838) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (839) all_4_0 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | REDUCE: (542), (839) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (840) ~ (all_22_0 = e2)
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | BETA: splitting (826) gives:
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (841) all_58_10 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (841) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (842) all_28_0 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | SIMP: (842) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (843) all_28_0 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | REDUCE: (576), (843) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (844) ~ (all_12_0 = e2)
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | SIMP: (844) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (845) ~ (all_12_0 = e2)
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (260), (285), (322), (515), (640), (819),
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (840), (845) are inconsistent by sub-proof #35.
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (846) all_58_11 = e2 | all_58_15 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (509), (512), (587), (804), (846) are inconsistent
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | by sub-proof #31.
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (847) all_56_12 = e1 | all_56_12 = e0
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (585), (822), (847) are inconsistent by
% 36.50/6.01 | | | | | | | | | | | | | | | | | | sub-proof #30.
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | (848) ~ (all_58_2 = e3)
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | REDUCE: (335), (848) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | (849) ~ (all_14_0 = e3)
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | BETA: splitting (826) gives:
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | (850) all_58_10 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (850) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | (851) all_28_0 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | SIMP: (851) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | | (852) all_28_0 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | REDUCE: (535), (852) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | (853) ~ (all_14_0 = e2)
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | SIMP: (853) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | | (854) ~ (all_14_0 = e2)
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (855) all_56_4 = e3
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (849), (855) are inconsistent by sub-proof
% 36.50/6.01 | | | | | | | | | | | | | | | | | | #29.
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | (856) all_56_4 = e2 | all_56_4 = e1 | all_56_4 = e0
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | BETA: splitting (856) gives:
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (857) all_56_4 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (857) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (858) all_14_0 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | SIMP: (858) implies:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (859) all_14_0 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | REDUCE: (854), (859) imply:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (860) $false
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | CLOSE: (860) is inconsistent.
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | (861) all_56_4 = e1 | all_56_4 = e0
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (821), (824), (861) are inconsistent by
% 36.50/6.01 | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 36.50/6.01 | | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | (862) all_58_11 = e2 | all_58_15 = e2
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (509), (512), (587), (804), (862) are inconsistent
% 36.50/6.01 | | | | | | | | | | | | | | | | | by sub-proof #31.
% 36.50/6.01 | | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | Case 2:
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | (863) ~ (all_32_1 = e0)
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | REDUCE: (818), (863) imply:
% 36.50/6.01 | | | | | | | | | | | | | | (864) $false
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | | CLOSE: (864) is inconsistent.
% 36.50/6.01 | | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | | |
% 36.50/6.01 | | | | | | | | | | End of split
% 36.50/6.01 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | (865) all_18_0 = e2
% 36.50/6.02 | | | | | | | | | | (866) ~ (all_18_1 = e0)
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | REDUCE: (567), (865) imply:
% 36.50/6.02 | | | | | | | | | | (867) ~ (all_12_0 = e2)
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | SIMP: (867) implies:
% 36.50/6.02 | | | | | | | | | | (868) ~ (all_12_0 = e2)
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | REDUCE: (526), (865) imply:
% 36.50/6.02 | | | | | | | | | | (869) ~ (all_4_1 = e2)
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | SIMP: (869) implies:
% 36.50/6.02 | | | | | | | | | | (870) ~ (all_4_1 = e2)
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | REDUCE: (487), (866) imply:
% 36.50/6.02 | | | | | | | | | | (871) ~ (all_12_1 = e0)
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | REF_CLOSE: (12), (14), (16), (98), (122), (144), (229),
% 36.50/6.02 | | | | | | | | | | (251), (285), (375), (423), (432), (438), (452),
% 36.50/6.02 | | | | | | | | | | (472), (499), (507), (509), (510), (511), (559),
% 36.50/6.02 | | | | | | | | | | (574), (585), (586), (868), (870), (871) are
% 36.50/6.02 | | | | | | | | | | inconsistent by sub-proof #25.
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | End of split
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | (872) all_16_0 = e1
% 36.50/6.02 | | | | | | | | | (873) ~ (all_16_1 = e2)
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | COMBINE_EQS: (443), (872) imply:
% 36.50/6.02 | | | | | | | | | (874) all_10_0 = e1
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | COMBINE_EQS: (513), (874) imply:
% 36.50/6.02 | | | | | | | | | (875) all_58_9 = e1
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | REDUCE: (581), (874) imply:
% 36.50/6.02 | | | | | | | | | (876) ~ (all_28_0 = e1)
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | REDUCE: (571), (874) imply:
% 36.50/6.02 | | | | | | | | | (877) ~ (all_18_0 = e1)
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | REDUCE: (273), (873) imply:
% 36.50/6.02 | | | | | | | | | (878) ~ (all_8_1 = e2)
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | REDUCE: (553), (874) imply:
% 36.50/6.02 | | | | | | | | | (879) ~ (all_6_0 = e1)
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | SIMP: (879) implies:
% 36.50/6.02 | | | | | | | | | (880) ~ (all_6_0 = e1)
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | REDUCE: (528), (874) imply:
% 36.50/6.02 | | | | | | | | | (881) ~ (all_4_1 = e1)
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | REDUCE: (634), (874) imply:
% 36.50/6.02 | | | | | | | | | (882) ~ (e2 = e1)
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | BETA: splitting (255) gives:
% 36.50/6.02 | | | | | | | | |
% 36.50/6.02 | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | (883) all_58_9 = e2
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | COMBINE_EQS: (875), (883) imply:
% 36.50/6.02 | | | | | | | | | | (884) e2 = e1
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | REDUCE: (14), (884) imply:
% 36.50/6.02 | | | | | | | | | | (885) $false
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | CLOSE: (885) is inconsistent.
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | (886) all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | BETA: splitting (886) gives:
% 36.50/6.02 | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | (887) all_58_10 = e2
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | COMBINE_EQS: (318), (887) imply:
% 36.50/6.02 | | | | | | | | | | | (888) all_28_0 = e2
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | SIMP: (888) implies:
% 36.50/6.02 | | | | | | | | | | | (889) all_28_0 = e2
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | REDUCE: (535), (889) imply:
% 36.50/6.02 | | | | | | | | | | | (890) ~ (all_14_0 = e2)
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | SIMP: (890) implies:
% 36.50/6.02 | | | | | | | | | | | (891) ~ (all_14_0 = e2)
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | REDUCE: (576), (889) imply:
% 36.50/6.02 | | | | | | | | | | | (892) ~ (all_12_0 = e2)
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | SIMP: (892) implies:
% 36.50/6.02 | | | | | | | | | | | (893) ~ (all_12_0 = e2)
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | REDUCE: (561), (889) imply:
% 36.50/6.02 | | | | | | | | | | | (894) ~ (all_6_1 = e2)
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | SIMP: (894) implies:
% 36.50/6.02 | | | | | | | | | | | (895) ~ (all_6_1 = e2)
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | BETA: splitting (74) gives:
% 36.50/6.02 | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | (896) ~ (all_18_0 = e2)
% 36.50/6.02 | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | BETA: splitting (82) gives:
% 36.50/6.02 | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | (897) ~ (all_22_0 = e3)
% 36.50/6.02 | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | BETA: splitting (260) gives:
% 36.50/6.02 | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | (898) all_58_4 = e2
% 36.50/6.02 | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | COMBINE_EQS: (515), (898) imply:
% 36.50/6.02 | | | | | | | | | | | | | | (899) all_18_0 = e2
% 36.50/6.02 | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | REDUCE: (896), (899) imply:
% 36.50/6.02 | | | | | | | | | | | | | | (900) $false
% 36.50/6.02 | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | CLOSE: (900) is inconsistent.
% 36.50/6.02 | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | (901) all_58_5 = e2 | all_58_8 = e2 | all_58_14 = e2
% 36.50/6.02 | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | BETA: splitting (901) gives:
% 36.50/6.02 | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | (902) all_58_5 = e2
% 36.50/6.02 | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | COMBINE_EQS: (322), (902) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | (903) all_12_0 = e2
% 36.50/6.02 | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | REDUCE: (893), (903) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | (904) $false
% 36.50/6.02 | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | CLOSE: (904) is inconsistent.
% 36.50/6.02 | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | (905) all_58_8 = e2 | all_58_14 = e2
% 36.50/6.02 | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | BETA: splitting (905) gives:
% 36.50/6.02 | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | (906) all_58_8 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (906) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | (907) all_12_1 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (907) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | (908) all_52_2 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (16), (17), (144), (432), (586),
% 36.50/6.02 | | | | | | | | | | | | | | | | (895), (908) are inconsistent by sub-proof #57.
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | (909) all_58_14 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (909) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | (910) all_22_0 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | SIMP: (910) implies:
% 36.50/6.02 | | | | | | | | | | | | | | | | (911) all_22_0 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | REDUCE: (565), (911) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | (912) ~ (all_42_0 = e2)
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | REDUCE: (570), (911) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | (913) ~ (all_18_0 = e2)
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | REDUCE: (542), (911) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | (914) ~ (all_4_0 = e2)
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | SIMP: (914) implies:
% 36.50/6.02 | | | | | | | | | | | | | | | | (915) ~ (all_4_0 = e2)
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | REDUCE: (897), (911) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | (916) ~ (e3 = e2)
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | (917) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.02 | | | | | | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 36.50/6.02 | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | BETA: splitting (917) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (918) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.02 | | | | | | | | | | | | | | | | | | all_52_3 = e3
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (98), (122), (144), (229), (251), (285), (375),
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (432), (438), (452), (472), (499), (507), (509),
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (510), (511), (574), (585), (586), (635), (893),
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (918) are inconsistent by sub-proof #24.
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (919) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 36.50/6.02 | | | | | | | | | | | | | | | | | | all_52_3 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | ALPHA: (919) implies:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (920) all_52_2 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (16), (17), (144), (432), (586),
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (895), (920) are inconsistent by sub-proof #57.
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | End of split
% 36.50/6.02 | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | (921) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.02 | | | | | | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 36.50/6.02 | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | BETA: splitting (921) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (922) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.02 | | | | | | | | | | | | | | | | | | all_52_3 = e1
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | ALPHA: (922) implies:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (923) all_52_0 = e1
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (923) are
% 36.50/6.02 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (924) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 36.50/6.02 | | | | | | | | | | | | | | | | | | all_52_3 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | ALPHA: (924) implies:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (925) all_52_2 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (926) all_52_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (927) all_52_0 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (927) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (928) all_4_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | SIMP: (928) implies:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (929) all_4_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (926) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (930) all_6_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (925) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (931) all_12_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (930) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (932) all_26_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (929) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (933) all_32_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (929) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (934) all_34_1 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (931) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (935) all_58_8 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (929) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (936) all_58_0 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | REDUCE: (557), (930) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (937) ~ (all_42_0 = e0)
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | REDUCE: (895), (930) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (938) ~ (e2 = e0)
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | REDUCE: (522), (929) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (939) ~ (all_4_0 = e0)
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | REDUCE: (637), (929) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | (940) ~ (e1 = e0)
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | (941) ~ (all_26_0 = e3)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | (942) ~ (all_32_0 = e1)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (425), (942) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | (943) ~ (all_14_0 = e1)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | (944) ~ (all_34_0 = e2)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | (945) all_58_0 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (936), (945) are inconsistent by sub-proof
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | #23.
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | (946) ~ (all_58_0 = e2)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | (947) all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | (948) all_58_0 = e1
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (936), (948) are inconsistent by sub-proof
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | #53.
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | (949) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | (950) all_56_12 = e3
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (950) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | (951) all_4_0 = e3
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (951) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | (952) ~ (all_42_0 = e3)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | (953) all_58_6 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (953) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | (954) all_34_0 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (944), (954) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | (955) $false
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (955) is inconsistent.
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | (956) all_58_7 = e2 | all_58_8 = e2 | all_58_11 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_56_13 = e3
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (957) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (958) all_42_0 = e3
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (958) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (959) $false
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (959) is inconsistent.
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (960) ~ (all_56_13 = e3)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_56_13 = e2 | all_56_13 = e1 | all_56_13 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (961) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) all_56_13 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (962) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_42_0 = e2
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (963) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) $false
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (964) is inconsistent.
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_56_13 = e1 | all_56_13 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (965) gives:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_56_13 = e1
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (966) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_42_0 = e1
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (967) imply:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) ~ (all_26_0 = e1)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (968) implies:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) ~ (all_26_0 = e1)
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (17), (259), (310), (335), (511),
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515), (516), (547), (585), (875), (896), (935),
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941), (943), (947), (949), (952), (956), (967),
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) are inconsistent by sub-proof #20.
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_56_13 = e0
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (970) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_42_0 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (937), (971) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (972) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | (973) all_56_12 = e2 | all_56_12 = e1 | all_56_12 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (585), (915), (939), (973) are inconsistent
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #19.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | (974) ~ (all_34_1 = e0)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (934), (974) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | (975) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | CLOSE: (975) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | (976) ~ (all_32_1 = e0)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (933), (976) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | (977) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | CLOSE: (977) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | (978) ~ (all_26_1 = e0)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | REDUCE: (932), (978) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | (979) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | CLOSE: (979) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | (980) all_22_0 = e3
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | REDUCE: (565), (980) imply:
% 36.50/6.03 | | | | | | | | | | | | | (981) ~ (all_42_0 = e3)
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | REDUCE: (574), (980) imply:
% 36.50/6.03 | | | | | | | | | | | | | (982) ~ (all_12_0 = e3)
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | REDUCE: (579), (980) imply:
% 36.50/6.03 | | | | | | | | | | | | | (983) ~ (all_8_1 = e3)
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | SIMP: (983) implies:
% 36.50/6.03 | | | | | | | | | | | | | (984) ~ (all_8_1 = e3)
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | REDUCE: (542), (980) imply:
% 36.50/6.03 | | | | | | | | | | | | | (985) ~ (all_4_0 = e3)
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | SIMP: (985) implies:
% 36.50/6.03 | | | | | | | | | | | | | (986) ~ (all_4_0 = e3)
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | BETA: splitting (144) gives:
% 36.50/6.03 | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | (987) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.03 | | | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 36.50/6.03 | | | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 36.50/6.03 | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | BETA: splitting (987) gives:
% 36.50/6.03 | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | (988) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.03 | | | | | | | | | | | | | | | all_52_3 = e3
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | REF_CLOSE: (98), (122), (144), (229), (251), (285), (375),
% 36.50/6.03 | | | | | | | | | | | | | | | (432), (438), (452), (472), (499), (507), (509),
% 36.50/6.03 | | | | | | | | | | | | | | | (510), (511), (574), (585), (586), (635), (893),
% 36.50/6.03 | | | | | | | | | | | | | | | (988) are inconsistent by sub-proof #24.
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | (989) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 36.50/6.03 | | | | | | | | | | | | | | | all_52_3 = e2
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | REF_CLOSE: (432), (895), (989) are inconsistent by sub-proof
% 36.50/6.03 | | | | | | | | | | | | | | | #60.
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | End of split
% 36.50/6.03 | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | (990) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.03 | | | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 36.50/6.03 | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | BETA: splitting (990) gives:
% 36.50/6.03 | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | (991) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.03 | | | | | | | | | | | | | | | all_52_3 = e1
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | ALPHA: (991) implies:
% 36.50/6.03 | | | | | | | | | | | | | | | (992) all_52_0 = e1
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (992) are
% 36.50/6.03 | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | (993) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 36.50/6.03 | | | | | | | | | | | | | | | all_52_3 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | ALPHA: (993) implies:
% 36.50/6.03 | | | | | | | | | | | | | | | (994) all_52_3 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | (995) all_52_2 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | (996) all_52_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | (997) all_52_0 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (423), (997) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (998) all_4_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | SIMP: (998) implies:
% 36.50/6.03 | | | | | | | | | | | | | | | (999) all_4_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (432), (996) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1000) all_6_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (375), (995) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1001) all_12_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (499), (994) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1002) all_8_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | SIMP: (1002) implies:
% 36.50/6.03 | | | | | | | | | | | | | | | (1003) all_8_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (470), (1000) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1004) all_26_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (461), (999) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1005) all_32_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (494), (999) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1006) all_34_1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (306), (1001) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1007) all_58_8 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (331), (1000) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1008) all_58_3 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | COMBINE_EQS: (356), (999) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1009) all_58_0 = e0
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | REDUCE: (984), (1003) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1010) ~ (e3 = e0)
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | REDUCE: (895), (1000) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1011) ~ (e2 = e0)
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | REDUCE: (637), (999) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | (1012) ~ (e1 = e0)
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 36.50/6.03 | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | (1013) ~ (all_26_0 = e3)
% 36.50/6.03 | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | (1014) ~ (all_32_0 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | REDUCE: (425), (1014) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | (1015) ~ (all_14_0 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | (1016) ~ (all_34_0 = e2)
% 36.50/6.03 | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | (1017) all_58_12 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1017) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | (1018) all_4_0 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | REDUCE: (585), (1018) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | (1019) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | CLOSE: (1019) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | (1020) ~ (all_58_12 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | (1021) all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | (1022) all_58_0 = e2
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (1009), (1022) are inconsistent by sub-proof
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | #23.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | (1023) ~ (all_58_0 = e2)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | (1024) all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | (1025) all_58_0 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (1009), (1025) are inconsistent by sub-proof
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | #53.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | (1026) ~ (all_58_0 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | (1027) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | (1028) all_58_0 = e2
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (1009), (1028) are inconsistent by sub-proof
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | #23.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | (1029) all_58_2 = e2 | all_58_6 = e2 | all_58_12 = e2
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | (1030) all_58_0 = e3
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1009), (1030) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | (1031) e3 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1031) implies:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | (1032) e3 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1032) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | (1033) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1033) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | (1034) ~ (all_58_0 = e3)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | (1035) all_58_2 = e3 | all_58_6 = e3 | all_58_12 = e3
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_58_6 = e2
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1036) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_34_0 = e2
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1016), (1037) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | (1038) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1038) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | (1039) ~ (all_58_6 = e2)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_58_7 = e2 | all_58_8 = e2 | all_58_11 = e2
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1021) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_58_13 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (1041) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_42_0 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (1042) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1043) ~ (all_26_0 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1043) implies:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1044) ~ (all_26_0 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (1042) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1045) ~ (all_4_0 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (17), (259), (310), (335), (511),
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (515), (516), (547), (585), (875), (896), (981),
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1007), (1013), (1015), (1024), (1027), (1040),
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1042), (1044) are inconsistent by sub-proof #20.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1046) ~ (all_58_13 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (1046) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | (1047) ~ (all_42_0 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_58_1 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1048) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_6_0 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (880), (1049) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1050) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_58_3 = e1 | all_58_7 = e1 | all_58_13 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1051) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_58_3 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1008), (1052) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) e1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1053) implies:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) e1 = e0
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1054) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) $false
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1055) is inconsistent.
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) all_58_7 = e1 | all_58_13 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1056) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_58_7 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (1057) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_26_0 = e1
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (1058) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) ~ (all_34_0 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1013), (1058) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) ~ (e3 = e1)
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_58_2 = e3
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1061) imply:
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_14_0 = e3
% 36.50/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) all_58_2 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1061), (1063) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) e3 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1064) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1065) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_58_6 = e1 | all_58_12 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (511), (514), (585), (1059), (1066) are
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) ~ (all_58_2 = e3)
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (335), (1067) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) ~ (all_14_0 = e3)
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1029) gives:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_58_2 = e2
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1069) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_14_0 = e2
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1070) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1071) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_58_6 = e2 | all_58_12 = e2
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1072) gives:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) all_58_6 = e2
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1073) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) all_34_0 = e2
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1016), (1074) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1075) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) all_58_12 = e2
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1076) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) all_4_0 = e2
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (986), (1077) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) ~ (e3 = e2)
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) all_58_2 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (1015), (1079) are inconsistent by
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_58_6 = e1 | all_58_12 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) all_58_2 = e3
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1081) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) all_14_0 = e3
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1082) implies:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_14_0 = e3
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1068), (1083) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1084) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) all_58_6 = e3 | all_58_12 = e3
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1085) gives:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) all_58_6 = e3
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1080) gives:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) all_58_6 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1086), (1087) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) e3 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1088) implies:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) e3 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1089) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1090) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) all_58_12 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (1076), (1091) are inconsistent by sub-proof
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) all_58_12 = e3
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1076), (1092) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) e3 = e2
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1093) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1094) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) all_58_13 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (1095) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_42_0 = e1
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1047), (1096) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1097) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | (1098) ~ (all_34_1 = e0)
% 36.50/6.04 | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | REDUCE: (1006), (1098) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | | (1099) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | | CLOSE: (1099) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | (1100) ~ (all_32_1 = e0)
% 36.50/6.04 | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | REDUCE: (1005), (1100) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | | (1101) $false
% 36.50/6.04 | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | | CLOSE: (1101) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | (1102) ~ (all_26_1 = e0)
% 36.50/6.04 | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | REDUCE: (1004), (1102) imply:
% 36.50/6.04 | | | | | | | | | | | | | | | | (1103) $false
% 36.50/6.04 | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | | CLOSE: (1103) is inconsistent.
% 36.50/6.04 | | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | (1104) all_18_0 = e2
% 36.50/6.04 | | | | | | | | | | | | (1105) ~ (all_18_1 = e0)
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | REDUCE: (526), (1104) imply:
% 36.50/6.04 | | | | | | | | | | | | (1106) ~ (all_4_1 = e2)
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | SIMP: (1106) implies:
% 36.50/6.04 | | | | | | | | | | | | (1107) ~ (all_4_1 = e2)
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | REDUCE: (487), (1105) imply:
% 36.50/6.04 | | | | | | | | | | | | (1108) ~ (all_12_1 = e0)
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (98), (122), (144), (229),
% 36.50/6.04 | | | | | | | | | | | | (251), (285), (375), (423), (432), (438), (452),
% 36.50/6.04 | | | | | | | | | | | | (472), (499), (507), (509), (510), (511), (559),
% 36.50/6.04 | | | | | | | | | | | | (574), (585), (586), (893), (1107), (1108) are
% 36.50/6.04 | | | | | | | | | | | | inconsistent by sub-proof #25.
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | (1109) all_58_11 = e2 | all_58_15 = e2
% 36.50/6.04 | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | REF_CLOSE: (509), (512), (587), (878), (1109) are
% 36.50/6.04 | | | | | | | | | | | inconsistent by sub-proof #31.
% 36.50/6.04 | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | End of split
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | End of split
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | | (1110) all_14_1 = e1
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | | COMBINE_EQS: (479), (1110) imply:
% 36.50/6.04 | | | | | | | | (1111) all_4_1 = e1
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | | SIMP: (1111) implies:
% 36.50/6.04 | | | | | | | | (1112) all_4_1 = e1
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | | COMBINE_EQS: (423), (1112) imply:
% 36.50/6.04 | | | | | | | | (1113) all_52_0 = e1
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1113) are
% 36.50/6.04 | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | End of split
% 36.50/6.04 | | | | | | |
% 36.50/6.04 | | | | | | Case 2:
% 36.50/6.04 | | | | | | |
% 36.50/6.04 | | | | | | | (1114) all_12_0 = e3
% 36.50/6.04 | | | | | | | (1115) ~ (all_12_1 = e0)
% 36.50/6.04 | | | | | | |
% 36.50/6.04 | | | | | | | REDUCE: (576), (1114) imply:
% 36.50/6.04 | | | | | | | (1116) ~ (all_28_0 = e3)
% 36.50/6.04 | | | | | | |
% 36.50/6.04 | | | | | | | REDUCE: (559), (1114) imply:
% 36.50/6.04 | | | | | | | (1117) ~ (all_6_1 = e3)
% 36.50/6.04 | | | | | | |
% 36.50/6.04 | | | | | | | SIMP: (1117) implies:
% 36.50/6.04 | | | | | | | (1118) ~ (all_6_1 = e3)
% 36.50/6.04 | | | | | | |
% 36.50/6.04 | | | | | | | REDUCE: (61), (1114) imply:
% 36.50/6.04 | | | | | | | (1119) op(e2, e1) = e3
% 36.50/6.04 | | | | | | |
% 36.50/6.04 | | | | | | | BETA: splitting (144) gives:
% 36.50/6.04 | | | | | | |
% 36.50/6.04 | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | | (1120) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.04 | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2 &
% 36.50/6.04 | | | | | | | | all_52_2 = e2 & all_52_3 = e2)
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | | BETA: splitting (1120) gives:
% 36.50/6.04 | | | | | | | |
% 36.50/6.04 | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | (1121) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.04 | | | | | | | | | all_52_3 = e3
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | REF_CLOSE: (432), (1118), (1121) are inconsistent by sub-proof
% 36.50/6.04 | | | | | | | | | #45.
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | Case 2:
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | (1122) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 36.50/6.04 | | | | | | | | | all_52_3 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | ALPHA: (1122) implies:
% 36.50/6.04 | | | | | | | | | (1123) all_52_3 = e2
% 36.50/6.04 | | | | | | | | | (1124) all_52_2 = e2
% 36.50/6.04 | | | | | | | | | (1125) all_52_1 = e2
% 36.50/6.04 | | | | | | | | | (1126) all_52_0 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (423), (1126) imply:
% 36.50/6.04 | | | | | | | | | (1127) all_4_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (432), (1125) imply:
% 36.50/6.04 | | | | | | | | | (1128) all_6_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (375), (1124) imply:
% 36.50/6.04 | | | | | | | | | (1129) all_12_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (499), (1123) imply:
% 36.50/6.04 | | | | | | | | | (1130) all_8_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | SIMP: (1130) implies:
% 36.50/6.04 | | | | | | | | | (1131) all_8_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (273), (1131) imply:
% 36.50/6.04 | | | | | | | | | (1132) all_16_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (492), (1131) imply:
% 36.50/6.04 | | | | | | | | | (1133) all_20_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (481), (1129) imply:
% 36.50/6.04 | | | | | | | | | (1134) all_24_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (497), (1127) imply:
% 36.50/6.04 | | | | | | | | | (1135) all_46_1 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (509), (1131) imply:
% 36.50/6.04 | | | | | | | | | (1136) all_58_15 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (306), (1129) imply:
% 36.50/6.04 | | | | | | | | | (1137) all_58_8 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | COMBINE_EQS: (356), (1127) imply:
% 36.50/6.04 | | | | | | | | | (1138) all_58_0 = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | REDUCE: (526), (1127) imply:
% 36.50/6.04 | | | | | | | | | (1139) ~ (all_18_0 = e2)
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | REDUCE: (524), (1127) imply:
% 36.50/6.04 | | | | | | | | | (1140) ~ (all_6_0 = e2)
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | REDUCE: (1118), (1128) imply:
% 36.50/6.04 | | | | | | | | | (1141) ~ (e3 = e2)
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | REDUCE: (52), (1131) imply:
% 36.50/6.04 | | | | | | | | | (1142) op(e0, e0) = e2
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | BETA: splitting (70) gives:
% 36.50/6.04 | | | | | | | | |
% 36.50/6.04 | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | (1143) ~ (all_16_0 = e1)
% 36.50/6.04 | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | REDUCE: (443), (1143) imply:
% 36.50/6.04 | | | | | | | | | | (1144) ~ (all_10_0 = e1)
% 36.50/6.04 | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | BETA: splitting (78) gives:
% 36.50/6.04 | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | (1145) ~ (all_20_0 = e3)
% 36.50/6.04 | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | REDUCE: (446), (1145) imply:
% 36.50/6.04 | | | | | | | | | | | (1146) ~ (all_8_0 = e3)
% 36.50/6.04 | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | BETA: splitting (256) gives:
% 36.50/6.04 | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | (1147) all_58_9 = e3
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | COMBINE_EQS: (513), (1147) imply:
% 36.50/6.04 | | | | | | | | | | | | (1148) all_10_0 = e3
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | SIMP: (1148) implies:
% 36.50/6.04 | | | | | | | | | | | | (1149) all_10_0 = e3
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | REDUCE: (571), (1149) imply:
% 36.50/6.04 | | | | | | | | | | | | (1150) ~ (all_18_0 = e3)
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | BETA: splitting (86) gives:
% 36.50/6.04 | | | | | | | | | | | |
% 36.50/6.04 | | | | | | | | | | | | Case 1:
% 36.50/6.04 | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | (1151) ~ (all_24_1 = e2)
% 36.50/6.05 | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | REDUCE: (1134), (1151) imply:
% 36.50/6.05 | | | | | | | | | | | | | (1152) $false
% 36.50/6.05 | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | CLOSE: (1152) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | (1153) ~ (all_24_0 = e0)
% 36.50/6.05 | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | REDUCE: (437), (1153) imply:
% 36.50/6.05 | | | | | | | | | | | | | (1154) ~ (all_18_0 = e0)
% 36.50/6.05 | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | BETA: splitting (267) gives:
% 36.50/6.05 | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | (1155) all_58_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | COMBINE_EQS: (1138), (1155) imply:
% 36.50/6.05 | | | | | | | | | | | | | | (1156) e2 = e0
% 36.50/6.05 | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | REDUCE: (13), (1156) imply:
% 36.50/6.05 | | | | | | | | | | | | | | (1157) $false
% 36.50/6.05 | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | CLOSE: (1157) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | (1158) all_58_1 = e0 | all_58_4 = e0 | all_58_9 = e0
% 36.50/6.05 | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 36.50/6.05 | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | (1159) ~ (all_46_1 = e2)
% 36.50/6.05 | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | REDUCE: (1135), (1159) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | (1160) $false
% 36.50/6.05 | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | CLOSE: (1160) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | (1161) ~ (all_46_0 = e0)
% 36.50/6.05 | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | REDUCE: (427), (1161) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | (1162) ~ (all_34_0 = e0)
% 36.50/6.05 | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | BETA: splitting (1158) gives:
% 36.50/6.05 | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | (1163) all_58_1 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1163) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | (1164) all_6_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | REDUCE: (547), (1164) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | (1165) ~ (all_26_0 = e0)
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | REDUCE: (1140), (1164) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | (1166) ~ (e2 = e0)
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | REDUCE: (49), (1164) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | (1167) op(e3, e2) = e0
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1168) all_58_6 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1168) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1169) all_34_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | SIMP: (1169) implies:
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1170) all_34_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | REDUCE: (1162), (1170) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1171) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | CLOSE: (1171) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1172) all_58_7 = e0 | all_58_8 = e0 | all_58_11 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | BETA: splitting (1172) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | (1173) all_58_7 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (1173) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | (1174) all_26_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | REDUCE: (1165), (1174) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | (1175) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | CLOSE: (1175) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | (1176) all_58_8 = e0 | all_58_11 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | (1177) all_58_0 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1138), (1177) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | (1178) e2 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1126), (1178) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | (1179) all_52_0 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1179) are
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | (1180) all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | (1181) all_58_1 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1163), (1181) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | (1182) e1 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | SIMP: (1182) implies:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | (1183) e1 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1183) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | (1184) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | CLOSE: (1184) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | (1185) all_58_4 = e1 | all_58_9 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1176) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | (1186) all_58_8 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1137), (1186) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | (1187) e2 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1187) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | (1188) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1188) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | (1189) all_58_11 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (1189) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | (1190) all_8_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | SIMP: (1190) implies:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | (1191) all_8_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (1191) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | (1192) ~ (all_28_0 = e0)
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1185) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | (1193) all_58_4 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1193) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | (1194) all_18_0 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1194) implies:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | (1195) all_18_0 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1150), (1195) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | (1196) ~ (e3 = e1)
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1139), (1195) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | (1197) ~ (e2 = e1)
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1195) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | (1198) op(e3, e1) = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | (1199) all_58_9 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1147), (1199) are inconsistent by sub-proof
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | #17.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | (1200) ~ (all_58_9 = e1)
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | (1201) all_58_10 = e1 | all_58_11 = e1 | all_58_15 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1201) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | (1202) all_58_10 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (1202) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_28_0 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1203) implies:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_28_0 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1204) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | (1205) op(e2, e0) = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1206) unit = e2
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1206) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1207) op(e2, e1) = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1206) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1208) op(e3, e2) = e3
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e1,
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1119), (1207) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1209) e3 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1167), (1208) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1210) e3 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1209), (1210) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1211) e1 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1211) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1212) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1212) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (unit = e2)
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1214) unit = e1 | unit = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) unit = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1215) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) op(e3, e1) = e3
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1215) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) op(e2, e1) = e2
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e1,
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1119), (1217) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) e3 = e2
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e1,
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1198), (1216) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) e3 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1218), (1219) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) e2 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1220) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1221) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) unit = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) ~ (unit = e1)
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1222), (1223) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) ~ (e1 = e0)
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1222) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) op(e2, e0) = e2
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1222) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) op(e0, e0) = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e0,
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1142), (1226) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) e2 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e0,
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1205), (1225) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) e2 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1227), (1228) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) e1 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1229) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1230) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_58_11 = e1 | all_58_15 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1231) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_58_11 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1189), (1232) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1233) e1 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1233) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1234) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1234) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_58_15 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1136), (1235) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1236) e2 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1126), (1236) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_52_0 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1237) are
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | (1238) all_58_9 = e1
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1147), (1238) are inconsistent by sub-proof
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | | #17.
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | End of split
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | (1239) all_58_4 = e0 | all_58_9 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | BETA: splitting (1239) gives:
% 36.50/6.05 | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1240) all_58_4 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1240) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1241) all_18_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | SIMP: (1241) implies:
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1242) all_18_0 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | REDUCE: (1154), (1242) imply:
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1243) $false
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | CLOSE: (1243) is inconsistent.
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | (1244) all_58_9 = e0
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1147), (1244) are inconsistent by sub-proof
% 36.50/6.05 | | | | | | | | | | | | | | | | | #16.
% 36.50/6.05 | | | | | | | | | | | | | | | | |
% 36.50/6.05 | | | | | | | | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | (1245) all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | BETA: splitting (1245) gives:
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | (1246) all_58_10 = e3
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | REF_CLOSE: (318), (1116), (1246) are inconsistent by
% 36.50/6.06 | | | | | | | | | | | | | sub-proof #15.
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | (1247) all_58_11 = e3 | all_58_15 = e3
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | REF_CLOSE: (17), (512), (1136), (1146), (1247) are
% 36.50/6.06 | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | (1248) ~ (all_20_1 = e2)
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | REDUCE: (1133), (1248) imply:
% 36.50/6.06 | | | | | | | | | | | (1249) $false
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | CLOSE: (1249) is inconsistent.
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | (1250) ~ (all_16_1 = e2)
% 36.50/6.06 | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | REDUCE: (1132), (1250) imply:
% 36.50/6.06 | | | | | | | | | | (1251) $false
% 36.50/6.06 | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | CLOSE: (1251) is inconsistent.
% 36.50/6.06 | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | End of split
% 36.50/6.06 | | | | | | | | |
% 36.50/6.06 | | | | | | | | End of split
% 36.50/6.06 | | | | | | | |
% 36.50/6.06 | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | |
% 36.50/6.06 | | | | | | | | (1252) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 36.50/6.06 | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0 &
% 36.50/6.06 | | | | | | | | all_52_2 = e0 & all_52_3 = e0)
% 36.50/6.06 | | | | | | | |
% 36.50/6.06 | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (375), (432), (586), (1115),
% 36.50/6.06 | | | | | | | | (1252) are inconsistent by sub-proof #26.
% 36.50/6.06 | | | | | | | |
% 36.50/6.06 | | | | | | | End of split
% 36.50/6.06 | | | | | | |
% 36.50/6.06 | | | | | | End of split
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | Case 2:
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | (1253) all_10_0 = e2
% 36.50/6.06 | | | | | | (1254) ~ (all_10_1 = e1)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | COMBINE_EQS: (513), (1253) imply:
% 36.50/6.06 | | | | | | (1255) all_58_9 = e2
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | REDUCE: (581), (1253) imply:
% 36.50/6.06 | | | | | | (1256) ~ (all_28_0 = e2)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | REDUCE: (571), (1253) imply:
% 36.50/6.06 | | | | | | (1257) ~ (all_18_0 = e2)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | REDUCE: (582), (1253) imply:
% 36.50/6.06 | | | | | | (1258) ~ (all_8_0 = e2)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | REDUCE: (553), (1253) imply:
% 36.50/6.06 | | | | | | (1259) ~ (all_6_0 = e2)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | SIMP: (1259) implies:
% 36.50/6.06 | | | | | | (1260) ~ (all_6_0 = e2)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | REDUCE: (528), (1253) imply:
% 36.50/6.06 | | | | | | (1261) ~ (all_4_1 = e2)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | SIMP: (1261) implies:
% 36.50/6.06 | | | | | | (1262) ~ (all_4_1 = e2)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | REDUCE: (491), (1254) imply:
% 36.50/6.06 | | | | | | (1263) ~ (all_8_1 = e1)
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | REDUCE: (57), (1253) imply:
% 36.50/6.06 | | | | | | (1264) op(e3, e0) = e2
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | BETA: splitting (62) gives:
% 36.50/6.06 | | | | | |
% 36.50/6.06 | | | | | | Case 1:
% 36.50/6.06 | | | | | | |
% 36.50/6.06 | | | | | | | (1265) ~ (all_12_0 = e3)
% 36.50/6.06 | | | | | | |
% 36.50/6.06 | | | | | | | BETA: splitting (66) gives:
% 36.50/6.06 | | | | | | |
% 36.50/6.06 | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | |
% 36.50/6.06 | | | | | | | | (1266) ~ (all_14_1 = e1)
% 36.50/6.06 | | | | | | | |
% 36.50/6.06 | | | | | | | | REDUCE: (479), (1266) imply:
% 36.50/6.06 | | | | | | | | (1267) ~ (all_4_1 = e1)
% 36.50/6.06 | | | | | | | |
% 36.50/6.06 | | | | | | | | BETA: splitting (90) gives:
% 36.50/6.06 | | | | | | | |
% 36.50/6.06 | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | |
% 36.50/6.06 | | | | | | | | | (1268) ~ (all_26_0 = e3)
% 36.50/6.06 | | | | | | | | |
% 36.50/6.06 | | | | | | | | | BETA: splitting (94) gives:
% 36.50/6.06 | | | | | | | | |
% 36.50/6.06 | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | (1269) ~ (all_28_0 = e1)
% 36.50/6.06 | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | BETA: splitting (254) gives:
% 36.50/6.06 | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | (1270) all_58_9 = e1
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | COMBINE_EQS: (1255), (1270) imply:
% 36.50/6.06 | | | | | | | | | | | (1271) e2 = e1
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | REDUCE: (14), (1271) imply:
% 36.50/6.06 | | | | | | | | | | | (1272) $false
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | CLOSE: (1272) is inconsistent.
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | (1273) all_58_10 = e1 | all_58_11 = e1 | all_58_15 = e1
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | BETA: splitting (1273) gives:
% 36.50/6.06 | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | (1274) all_58_10 = e1
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | COMBINE_EQS: (318), (1274) imply:
% 36.50/6.06 | | | | | | | | | | | | (1275) all_28_0 = e1
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | REDUCE: (1269), (1275) imply:
% 36.50/6.06 | | | | | | | | | | | | (1276) $false
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | CLOSE: (1276) is inconsistent.
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | (1277) all_58_11 = e1 | all_58_15 = e1
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | BETA: splitting (1277) gives:
% 36.50/6.06 | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | (1278) all_58_11 = e1
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | COMBINE_EQS: (512), (1278) imply:
% 36.50/6.06 | | | | | | | | | | | | | (1279) all_8_0 = e1
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | REDUCE: (538), (1279) imply:
% 36.50/6.06 | | | | | | | | | | | | | (1280) ~ (all_34_0 = e1)
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | REDUCE: (587), (1279) imply:
% 36.50/6.06 | | | | | | | | | | | | | (1281) ~ (e2 = e1)
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | BETA: splitting (268) gives:
% 36.50/6.06 | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | (1282) all_58_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | COMBINE_EQS: (356), (1282) imply:
% 36.50/6.06 | | | | | | | | | | | | | | (1283) all_4_1 = e1
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | COMBINE_EQS: (423), (1283) imply:
% 36.50/6.06 | | | | | | | | | | | | | | (1284) all_52_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1284) are
% 36.50/6.06 | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | (1285) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 36.50/6.06 | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | (1286) all_58_2 = e1
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1286) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | (1287) all_14_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1287) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | (1288) all_32_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | REDUCE: (532), (1287) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | (1289) ~ (all_6_1 = e1)
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | REDUCE: (531), (1287) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | (1290) ~ (all_4_0 = e1)
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | REDUCE: (518), (1287) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | (1291) ~ (all_4_1 = e1)
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 36.50/6.06 | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | (1292) ~ (all_32_0 = e1)
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | REDUCE: (1288), (1292) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | (1293) $false
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | CLOSE: (1293) is inconsistent.
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | (1294) ~ (all_32_1 = e0)
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | REDUCE: (461), (1294) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | (1295) ~ (all_4_1 = e0)
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | (1296) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.06 | | | | | | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 36.50/6.06 | | | | | | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 36.50/6.06 | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | BETA: splitting (1296) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1297) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 36.50/6.06 | | | | | | | | | | | | | | | | | | all_52_3 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | ALPHA: (1297) implies:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1298) all_52_3 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1299) all_52_2 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1300) all_52_1 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1301) all_52_0 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (1301) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1302) all_4_1 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (1300) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1303) all_6_1 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1299) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1304) all_12_1 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1298) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1305) all_8_1 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | SIMP: (1305) implies:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1306) all_8_1 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1304) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1307) all_38_1 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1303) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1308) all_42_1 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (1306) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1309) all_58_15 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (1302) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1310) all_58_0 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | REDUCE: (579), (1306) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1311) ~ (all_22_0 = e3)
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | REDUCE: (526), (1302) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1312) ~ (all_18_0 = e3)
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | REDUCE: (524), (1302) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1313) ~ (all_6_0 = e3)
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | REDUCE: (48), (1303) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1314) op(e2, e2) = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | REDUCE: (60), (1304) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1315) op(e1, e1) = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | REDUCE: (52), (1306) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | (1316) op(e0, e0) = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | (1317) ~ (all_38_0 = e2)
% 36.50/6.06 | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | REDUCE: (442), (1317) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | (1318) ~ (all_22_0 = e2)
% 36.50/6.06 | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | (1319) ~ (all_42_0 = e1)
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | (1320) all_58_12 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1320) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | (1321) all_4_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (1321) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | (1322) $false
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1322) is inconsistent.
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | (1323) all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1323) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | (1324) all_58_13 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (1324) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | (1325) all_42_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1319), (1325) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | (1326) $false
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1326) is inconsistent.
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | (1327) all_58_14 = e1 | all_58_15 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1327) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | (1328) all_58_14 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (1328) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | (1329) all_22_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1329) implies:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | (1330) all_22_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (1330) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | (1331) ~ (all_18_0 = e1)
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1331) implies:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | (1332) ~ (all_18_0 = e1)
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1311), (1330) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | (1333) ~ (e3 = e1)
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_58_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1310), (1334) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | (1335) e3 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1301), (1335) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_52_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1336) are
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_56_2 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (1338) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_18_0 = e3
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1312), (1339) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | (1340) $false
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1340) is inconsistent.
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1341) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_56_2 = e2
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (1342) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_18_0 = e2
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1257), (1343) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) $false
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1344) is inconsistent.
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_56_2 = e1 | all_56_2 = e0
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1345) gives:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_56_2 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (1346) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_18_0 = e1
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1332), (1347) imply:
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) $false
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1348) is inconsistent.
% 36.50/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_56_2 = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (1349) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_18_0 = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (1350) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) ~ (all_6_0 = e0)
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1351) implies:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) ~ (all_6_0 = e0)
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1350) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) op(e3, e1) = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_56_1 = e3
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (1354) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_6_0 = e3
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1313), (1355) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) $false
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1356) is inconsistent.
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1337) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_58_1 = e1
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1358) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_6_0 = e1
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1359) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) op(e3, e2) = e1
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) unit = e2
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1361) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) op(e3, e2) = e3
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1361) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) op(e2, e2) = e2
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e2,
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1314), (1363) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) e3 = e2
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1360), (1362) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) e3 = e1
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1364), (1365) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) e2 = e1
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1366) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) $false
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1367) is inconsistent.
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) ~ (unit = e2)
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) unit = e1 | unit = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1369) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) unit = e1
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1370) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) op(e3, e1) = e3
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1370) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) op(e1, e1) = e1
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e1,
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1315), (1372) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) e3 = e1
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e1,
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1353), (1371) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) e3 = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1373), (1374) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) e1 = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1375) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) $false
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1376) is inconsistent.
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) unit = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1368), (1377) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) ~ (e2 = e0)
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1377) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) op(e3, e0) = e3
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1377) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) op(e0, e0) = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1316), (1380) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) e3 = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1264), (1379) gives:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) e3 = e2
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1381), (1382) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) e2 = e0
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1383) imply:
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) $false
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1384) is inconsistent.
% 36.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) ~ (all_58_1 = e1)
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (1385) imply:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) ~ (all_6_0 = e1)
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (344), (1260), (1352), (1357), (1386) are
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | (1387) all_58_15 = e1
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1309), (1387) imply:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | (1388) e3 = e1
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1301), (1388) imply:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | (1389) all_52_0 = e1
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1389) are
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | (1390) ~ (all_42_1 = e3)
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (1308), (1390) imply:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | (1391) $false
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | | CLOSE: (1391) is inconsistent.
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | (1392) ~ (all_38_1 = e3)
% 37.50/6.07 | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | REDUCE: (1307), (1392) imply:
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | (1393) $false
% 37.50/6.07 | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | | CLOSE: (1393) is inconsistent.
% 37.50/6.07 | | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | (1394) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.50/6.07 | | | | | | | | | | | | | | | | | | all_52_3 = e2
% 37.50/6.07 | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (1262), (1394) are inconsistent by
% 37.50/6.07 | | | | | | | | | | | | | | | | | | sub-proof #13.
% 37.50/6.07 | | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | (1395) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.50/6.07 | | | | | | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 37.50/6.07 | | | | | | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 37.50/6.07 | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (423), (432), (586),
% 37.50/6.07 | | | | | | | | | | | | | | | | | (1295), (1395) are inconsistent by sub-proof #12.
% 37.50/6.07 | | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | (1396) all_58_6 = e1 | all_58_12 = e1
% 37.50/6.07 | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | | REF_CLOSE: (511), (514), (585), (1280), (1396) are
% 37.50/6.07 | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 37.50/6.07 | | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | (1397) all_58_15 = e1
% 37.50/6.07 | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | COMBINE_EQS: (509), (1397) imply:
% 37.50/6.07 | | | | | | | | | | | | | (1398) all_8_1 = e1
% 37.50/6.07 | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | REDUCE: (1263), (1398) imply:
% 37.50/6.07 | | | | | | | | | | | | | (1399) $false
% 37.50/6.07 | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | | CLOSE: (1399) is inconsistent.
% 37.50/6.07 | | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | End of split
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | Case 2:
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | (1400) all_28_0 = e1
% 37.50/6.07 | | | | | | | | | | (1401) ~ (all_28_1 = e3)
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | REDUCE: (535), (1400) imply:
% 37.50/6.07 | | | | | | | | | | (1402) ~ (all_14_0 = e1)
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | SIMP: (1402) implies:
% 37.50/6.07 | | | | | | | | | | (1403) ~ (all_14_0 = e1)
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | REDUCE: (576), (1400) imply:
% 37.50/6.07 | | | | | | | | | | (1404) ~ (all_12_0 = e1)
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | SIMP: (1404) implies:
% 37.50/6.07 | | | | | | | | | | (1405) ~ (all_12_0 = e1)
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | REDUCE: (583), (1400) imply:
% 37.50/6.07 | | | | | | | | | | (1406) ~ (all_8_0 = e1)
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | SIMP: (1406) implies:
% 37.50/6.07 | | | | | | | | | | (1407) ~ (all_8_0 = e1)
% 37.50/6.07 | | | | | | | | | |
% 37.50/6.07 | | | | | | | | | | REDUCE: (561), (1400) imply:
% 37.52/6.07 | | | | | | | | | | (1408) ~ (all_6_1 = e1)
% 37.52/6.07 | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | REDUCE: (1256), (1400) imply:
% 37.52/6.07 | | | | | | | | | | (1409) ~ (e2 = e1)
% 37.52/6.07 | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | REDUCE: (493), (1401) imply:
% 37.52/6.07 | | | | | | | | | | (1410) ~ (all_8_1 = e3)
% 37.52/6.07 | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | BETA: splitting (144) gives:
% 37.52/6.07 | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | Case 1:
% 37.52/6.07 | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | (1411) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.52/6.07 | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 37.52/6.07 | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 37.52/6.07 | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | BETA: splitting (1411) gives:
% 37.52/6.07 | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | Case 1:
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | (1412) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.52/6.07 | | | | | | | | | | | | all_52_3 = e3
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | REF_CLOSE: (499), (1410), (1412) are inconsistent by
% 37.52/6.07 | | | | | | | | | | | | sub-proof #34.
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | Case 2:
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | (1413) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.52/6.07 | | | | | | | | | | | | all_52_3 = e2
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | REF_CLOSE: (423), (1262), (1413) are inconsistent by
% 37.52/6.07 | | | | | | | | | | | | sub-proof #13.
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | End of split
% 37.52/6.07 | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | Case 2:
% 37.52/6.07 | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | (1414) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.52/6.07 | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 37.52/6.07 | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 37.52/6.07 | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | BETA: splitting (1414) gives:
% 37.52/6.07 | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | Case 1:
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | (1415) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.52/6.07 | | | | | | | | | | | | all_52_3 = e1
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | ALPHA: (1415) implies:
% 37.52/6.07 | | | | | | | | | | | | (1416) all_52_0 = e1
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1416) are
% 37.52/6.07 | | | | | | | | | | | | inconsistent by sub-proof #58.
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | Case 2:
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | (1417) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 37.52/6.07 | | | | | | | | | | | | all_52_3 = e0
% 37.52/6.07 | | | | | | | | | | | |
% 37.52/6.07 | | | | | | | | | | | | ALPHA: (1417) implies:
% 37.52/6.08 | | | | | | | | | | | | (1418) all_52_3 = e0
% 37.52/6.08 | | | | | | | | | | | | (1419) all_52_2 = e0
% 37.52/6.08 | | | | | | | | | | | | (1420) all_52_1 = e0
% 37.52/6.08 | | | | | | | | | | | | (1421) all_52_0 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | COMBINE_EQS: (423), (1421) imply:
% 37.52/6.08 | | | | | | | | | | | | (1422) all_4_1 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | COMBINE_EQS: (432), (1420) imply:
% 37.52/6.08 | | | | | | | | | | | | (1423) all_6_1 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | COMBINE_EQS: (375), (1419) imply:
% 37.52/6.08 | | | | | | | | | | | | (1424) all_12_1 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | COMBINE_EQS: (499), (1418) imply:
% 37.52/6.08 | | | | | | | | | | | | (1425) all_8_1 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | SIMP: (1425) implies:
% 37.52/6.08 | | | | | | | | | | | | (1426) all_8_1 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | COMBINE_EQS: (498), (1423) imply:
% 37.52/6.08 | | | | | | | | | | | | (1427) all_50_1 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | COMBINE_EQS: (306), (1424) imply:
% 37.52/6.08 | | | | | | | | | | | | (1428) all_58_8 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | COMBINE_EQS: (356), (1422) imply:
% 37.52/6.08 | | | | | | | | | | | | (1429) all_58_0 = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | REDUCE: (526), (1422) imply:
% 37.52/6.08 | | | | | | | | | | | | (1430) ~ (all_18_0 = e0)
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | REDUCE: (559), (1423) imply:
% 37.52/6.08 | | | | | | | | | | | | (1431) ~ (all_12_0 = e0)
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | REDUCE: (584), (1426) imply:
% 37.52/6.08 | | | | | | | | | | | | (1432) ~ (all_8_0 = e0)
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | REDUCE: (1410), (1426) imply:
% 37.52/6.08 | | | | | | | | | | | | (1433) ~ (e3 = e0)
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | REDUCE: (524), (1422) imply:
% 37.52/6.08 | | | | | | | | | | | | (1434) ~ (all_6_0 = e0)
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | REDUCE: (1267), (1422) imply:
% 37.52/6.08 | | | | | | | | | | | | (1435) ~ (e1 = e0)
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | REDUCE: (48), (1423) imply:
% 37.52/6.08 | | | | | | | | | | | | (1436) op(e2, e2) = e0
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | BETA: splitting (138) gives:
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | (1437) ~ (all_50_0 = e1)
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | REDUCE: (430), (1437) imply:
% 37.52/6.08 | | | | | | | | | | | | | (1438) ~ (all_6_0 = e1)
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | BETA: splitting (268) gives:
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | (1439) all_58_0 = e1
% 37.52/6.08 | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | REF_CLOSE: (12), (1429), (1439) are inconsistent by sub-proof
% 37.52/6.08 | | | | | | | | | | | | | | #53.
% 37.52/6.08 | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | (1440) ~ (all_58_0 = e1)
% 37.52/6.08 | | | | | | | | | | | | | | (1441) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.52/6.08 | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 37.52/6.08 | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | (1442) all_58_0 = e1
% 37.52/6.08 | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | REF_CLOSE: (12), (1429), (1442) are inconsistent by sub-proof
% 37.52/6.08 | | | | | | | | | | | | | | | #53.
% 37.52/6.08 | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | (1443) all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1
% 37.52/6.08 | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 37.52/6.08 | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | (1444) all_56_6 = e3
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1444) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | (1445) all_12_0 = e3
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | REDUCE: (1265), (1445) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | (1446) $false
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | CLOSE: (1446) is inconsistent.
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | (1447) ~ (all_56_6 = e3)
% 37.52/6.08 | | | | | | | | | | | | | | | | (1448) all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | BETA: splitting (1448) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | (1449) all_56_6 = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1449) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | (1450) all_12_0 = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | REDUCE: (1265), (1450) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | (1451) ~ (e3 = e2)
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | REDUCE: (61), (1450) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | (1452) op(e2, e1) = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | (1453) all_56_11 = e3
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (1453) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | (1454) all_8_0 = e3
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | REDUCE: (53), (1454) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | (1455) op(e1, e0) = e3
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (1456) all_56_1 = e3
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (1456) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (1457) all_6_0 = e3
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1457) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (1458) all_58_1 = e3
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | (1459) all_58_1 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1458), (1459) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | (1460) e3 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1460) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | (1461) $false
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | CLOSE: (1461) is inconsistent.
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | (1462) all_58_4 = e1 | all_58_9 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1462) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | (1463) all_58_4 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1463) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | (1464) all_18_0 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1464) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | (1465) op(e3, e1) = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | (1466) unit = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1466) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | (1467) op(e2, e1) = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1466) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | (1468) op(e2, e2) = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e1,
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1452), (1467) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | (1469) e2 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1436), (1468) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | (1470) e2 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1469), (1470) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | (1471) e1 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1471) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | (1472) $false
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1472) is inconsistent.
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | (1473) unit = e1 | unit = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1474) unit = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1474) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1475) op(e1, e0) = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1474) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1476) op(e3, e1) = e3
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1455), (1475) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1477) e3 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e1,
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1465), (1476) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1478) e3 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1477), (1478) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1479) e1 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1479) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1480) $false
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1480) is inconsistent.
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1481) unit = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1481) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1482) op(e3, e0) = e3
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1481) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1483) op(e1, e0) = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e0,
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1455), (1483) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1484) e3 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1264), (1482) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1485) e3 = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1484), (1485) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1486) e2 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1486) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | (1487) $false
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1487) is inconsistent.
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | (1488) all_58_9 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1255), (1488) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | (1489) e2 = e1
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1489) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | (1490) $false
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1490) is inconsistent.
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (1491) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (344), (1260), (1434), (1438), (1491) are
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | (1492) all_56_11 = e2 | all_56_11 = e1 | all_56_11 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | BETA: splitting (1492) gives:
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (1493) all_56_11 = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (1493) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (1494) all_8_0 = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (1494) imply:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (1495) all_58_11 = e2
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (259), (310), (335), (511),
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (585), (1268), (1403), (1428), (1441), (1495) are
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | (1496) all_56_11 = e1 | all_56_11 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (1407), (1432), (1496) are inconsistent by
% 37.52/6.08 | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 37.52/6.08 | | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | (1497) all_56_6 = e1 | all_56_6 = e0
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (1405), (1431), (1497) are inconsistent by
% 37.52/6.08 | | | | | | | | | | | | | | | | | sub-proof #11.
% 37.52/6.08 | | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | (1498) ~ (all_50_1 = e0)
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | REDUCE: (1427), (1498) imply:
% 37.52/6.08 | | | | | | | | | | | | | (1499) $false
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | | CLOSE: (1499) is inconsistent.
% 37.52/6.08 | | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | |
% 37.52/6.08 | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | |
% 37.52/6.08 | | | | | | | | | (1500) all_26_0 = e3
% 37.52/6.08 | | | | | | | | | (1501) ~ (all_26_1 = e0)
% 37.52/6.08 | | | | | | | | |
% 37.52/6.08 | | | | | | | | | REDUCE: (555), (1500) imply:
% 37.52/6.08 | | | | | | | | | (1502) ~ (all_6_1 = e3)
% 37.52/6.08 | | | | | | | | |
% 37.52/6.08 | | | | | | | | | SIMP: (1502) implies:
% 37.52/6.08 | | | | | | | | | (1503) ~ (all_6_1 = e3)
% 37.52/6.08 | | | | | | | | |
% 37.52/6.08 | | | | | | | | | REDUCE: (470), (1501) imply:
% 37.52/6.08 | | | | | | | | | (1504) ~ (all_6_1 = e0)
% 37.52/6.08 | | | | | | | | |
% 37.52/6.08 | | | | | | | | | BETA: splitting (144) gives:
% 37.52/6.08 | | | | | | | | |
% 37.52/6.08 | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | (1505) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.52/6.08 | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 37.52/6.08 | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 37.52/6.08 | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | BETA: splitting (1505) gives:
% 37.52/6.08 | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | Case 1:
% 37.52/6.08 | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | (1506) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.52/6.08 | | | | | | | | | | | all_52_3 = e3
% 37.52/6.08 | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | REF_CLOSE: (432), (1503), (1506) are inconsistent by
% 37.52/6.08 | | | | | | | | | | | sub-proof #45.
% 37.52/6.08 | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | (1507) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.52/6.08 | | | | | | | | | | | all_52_3 = e2
% 37.52/6.08 | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | | REF_CLOSE: (423), (1262), (1507) are inconsistent by
% 37.52/6.08 | | | | | | | | | | | sub-proof #13.
% 37.52/6.08 | | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | | End of split
% 37.52/6.08 | | | | | | | | | |
% 37.52/6.08 | | | | | | | | | Case 2:
% 37.52/6.08 | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | (1508) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.52/6.09 | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 37.52/6.09 | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 37.52/6.09 | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1504),
% 37.52/6.09 | | | | | | | | | | (1508) are inconsistent by sub-proof #44.
% 37.52/6.09 | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | End of split
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | End of split
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | Case 2:
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | (1509) all_14_1 = e1
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | COMBINE_EQS: (479), (1509) imply:
% 37.52/6.09 | | | | | | | | (1510) all_4_1 = e1
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | SIMP: (1510) implies:
% 37.52/6.09 | | | | | | | | (1511) all_4_1 = e1
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | COMBINE_EQS: (423), (1511) imply:
% 37.52/6.09 | | | | | | | | (1512) all_52_0 = e1
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | REDUCE: (1262), (1511) imply:
% 37.52/6.09 | | | | | | | | (1513) ~ (e2 = e1)
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (586), (1512) are
% 37.52/6.09 | | | | | | | | inconsistent by sub-proof #58.
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | End of split
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | Case 2:
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | (1514) all_12_0 = e3
% 37.52/6.09 | | | | | | | (1515) ~ (all_12_1 = e0)
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | REDUCE: (559), (1514) imply:
% 37.52/6.09 | | | | | | | (1516) ~ (all_6_1 = e3)
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | SIMP: (1516) implies:
% 37.52/6.09 | | | | | | | (1517) ~ (all_6_1 = e3)
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | REF_CLOSE: (12), (14), (16), (144), (375), (423), (432), (586),
% 37.52/6.09 | | | | | | | (1262), (1515), (1517) are inconsistent by sub-proof
% 37.52/6.09 | | | | | | | #10.
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | End of split
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | End of split
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | End of split
% 37.52/6.09 | | | |
% 37.52/6.09 | | | Case 2:
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | (1518) all_8_0 = e2
% 37.52/6.09 | | | | (1519) ~ (all_8_1 = e3)
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | COMBINE_EQS: (512), (1518) imply:
% 37.52/6.09 | | | | (1520) all_58_11 = e2
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | REDUCE: (584), (1518) imply:
% 37.52/6.09 | | | | (1521) ~ (all_8_1 = e2)
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | SIMP: (1521) implies:
% 37.52/6.09 | | | | (1522) ~ (all_8_1 = e2)
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | BETA: splitting (144) gives:
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | Case 1:
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | (1523) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 =
% 37.52/6.09 | | | | | e3) | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.52/6.09 | | | | | all_52_3 = e2)
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | REF_CLOSE: (499), (1519), (1522), (1523) are inconsistent by sub-proof
% 37.52/6.09 | | | | | #33.
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | Case 2:
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | (1524) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 =
% 37.52/6.09 | | | | | e1) | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 37.52/6.09 | | | | | all_52_3 = e0)
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | BETA: splitting (1524) gives:
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | Case 1:
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | (1525) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 =
% 37.52/6.09 | | | | | | e1
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | REF_CLOSE: (432), (586), (1525) are inconsistent by sub-proof #59.
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | Case 2:
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | (1526) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 =
% 37.52/6.09 | | | | | | e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | ALPHA: (1526) implies:
% 37.52/6.09 | | | | | | (1527) all_52_3 = e0
% 37.52/6.09 | | | | | | (1528) all_52_2 = e0
% 37.52/6.09 | | | | | | (1529) all_52_1 = e0
% 37.52/6.09 | | | | | | (1530) all_52_0 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | COMBINE_EQS: (423), (1530) imply:
% 37.52/6.09 | | | | | | (1531) all_4_1 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | COMBINE_EQS: (432), (1529) imply:
% 37.52/6.09 | | | | | | (1532) all_6_1 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | COMBINE_EQS: (375), (1528) imply:
% 37.52/6.09 | | | | | | (1533) all_12_1 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | COMBINE_EQS: (499), (1527) imply:
% 37.52/6.09 | | | | | | (1534) all_8_1 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | SIMP: (1534) implies:
% 37.52/6.09 | | | | | | (1535) all_8_1 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | COMBINE_EQS: (470), (1532) imply:
% 37.52/6.09 | | | | | | (1536) all_26_1 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | COMBINE_EQS: (461), (1531) imply:
% 37.52/6.09 | | | | | | (1537) all_32_1 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | COMBINE_EQS: (306), (1533) imply:
% 37.52/6.09 | | | | | | (1538) all_58_8 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | COMBINE_EQS: (356), (1531) imply:
% 37.52/6.09 | | | | | | (1539) all_58_0 = e0
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | REDUCE: (1519), (1535) imply:
% 37.52/6.09 | | | | | | (1540) ~ (e3 = e0)
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | REDUCE: (586), (1532) imply:
% 37.52/6.09 | | | | | | (1541) ~ (e1 = e0)
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | BETA: splitting (102) gives:
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | Case 1:
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | (1542) ~ (all_32_0 = e1)
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | REDUCE: (425), (1542) imply:
% 37.52/6.09 | | | | | | | (1543) ~ (all_14_0 = e1)
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | BETA: splitting (90) gives:
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | Case 1:
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | (1544) ~ (all_26_0 = e3)
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | BETA: splitting (268) gives:
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | Case 1:
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | | (1545) all_58_0 = e1
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | | REF_CLOSE: (12), (1539), (1545) are inconsistent by sub-proof
% 37.52/6.09 | | | | | | | | | #53.
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | Case 2:
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | | (1546) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | | REF_CLOSE: (15), (16), (17), (259), (310), (335), (511),
% 37.52/6.09 | | | | | | | | | (585), (1520), (1538), (1543), (1544), (1546) are
% 37.52/6.09 | | | | | | | | | inconsistent by sub-proof #49.
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | End of split
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | Case 2:
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | (1547) ~ (all_26_1 = e0)
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | REDUCE: (1536), (1547) imply:
% 37.52/6.09 | | | | | | | | (1548) $false
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | CLOSE: (1548) is inconsistent.
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | End of split
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | Case 2:
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | (1549) ~ (all_32_1 = e0)
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | REDUCE: (1537), (1549) imply:
% 37.52/6.09 | | | | | | | (1550) $false
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | CLOSE: (1550) is inconsistent.
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | End of split
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | End of split
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | End of split
% 37.52/6.09 | | | |
% 37.52/6.09 | | | End of split
% 37.52/6.09 | | |
% 37.52/6.09 | | Case 2:
% 37.52/6.09 | | |
% 37.52/6.09 | | | (1551) all_6_1 = e1
% 37.52/6.09 | | | (1552) ~ (all_6_0 = e0)
% 37.52/6.09 | | |
% 37.52/6.09 | | | COMBINE_EQS: (496), (1551) imply:
% 37.52/6.09 | | | (1553) all_44_1 = e1
% 37.52/6.09 | | |
% 37.52/6.09 | | | COMBINE_EQS: (432), (1551) imply:
% 37.52/6.09 | | | (1554) all_52_1 = e1
% 37.52/6.09 | | |
% 37.52/6.09 | | | COMBINE_EQS: (331), (1551) imply:
% 37.52/6.09 | | | (1555) all_58_3 = e1
% 37.52/6.09 | | |
% 37.52/6.09 | | | REDUCE: (48), (1551) imply:
% 37.52/6.09 | | | (1556) op(e2, e2) = e1
% 37.52/6.09 | | |
% 37.52/6.09 | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (12), (14), (15), (16), (17),
% 37.52/6.09 | | | (45), (49), (53), (57), (58), (61), (66), (73), (93), (110),
% 37.52/6.09 | | | (126), (134), (144), (224), (225), (229), (230), (231), (232),
% 37.52/6.09 | | | (233), (253), (255), (256), (258), (262), (264), (266), (268),
% 37.52/6.09 | | | (271), (287), (306), (310), (318), (322), (335), (341), (344),
% 37.52/6.09 | | | (356), (363), (375), (423), (428), (435), (445), (450), (479),
% 37.52/6.09 | | | (491), (495), (499), (504), (507), (508), (509), (510), (511),
% 37.52/6.09 | | | (512), (513), (514), (515), (516), (518), (520), (522), (524),
% 37.52/6.09 | | | (526), (528), (530), (531), (533), (535), (540), (549), (551),
% 37.52/6.09 | | | (553), (566), (567), (571), (572), (581), (583), (584), (1552),
% 37.52/6.09 | | | (1553), (1554), (1555), (1556), (function-axioms) are
% 37.52/6.09 | | | inconsistent by sub-proof #5.
% 37.52/6.09 | | |
% 37.52/6.09 | | End of split
% 37.52/6.09 | |
% 37.52/6.09 | Case 2:
% 37.52/6.09 | |
% 37.52/6.09 | | (1557) all_4_0 = e1
% 37.52/6.09 | | (1558) ~ (all_4_1 = e2)
% 37.52/6.09 | |
% 37.52/6.09 | | COMBINE_EQS: (511), (1557) imply:
% 37.52/6.09 | | (1559) all_58_12 = e1
% 37.52/6.09 | |
% 37.52/6.09 | | REDUCE: (540), (1557) imply:
% 37.52/6.09 | | (1560) ~ (all_42_0 = e1)
% 37.52/6.09 | |
% 37.52/6.09 | | REDUCE: (536), (1557) imply:
% 37.52/6.09 | | (1561) ~ (all_34_0 = e1)
% 37.52/6.09 | |
% 37.52/6.09 | | REDUCE: (542), (1557) imply:
% 37.52/6.09 | | (1562) ~ (all_22_0 = e1)
% 37.52/6.09 | |
% 37.52/6.09 | | REDUCE: (531), (1557) imply:
% 37.52/6.09 | | (1563) ~ (all_14_0 = e1)
% 37.52/6.09 | |
% 37.52/6.09 | | REDUCE: (544), (1557) imply:
% 37.52/6.09 | | (1564) ~ (all_8_1 = e1)
% 37.52/6.09 | |
% 37.52/6.09 | | REDUCE: (522), (1557) imply:
% 37.52/6.09 | | (1565) ~ (all_4_1 = e1)
% 37.52/6.09 | |
% 37.52/6.09 | | SIMP: (1565) implies:
% 37.52/6.09 | | (1566) ~ (all_4_1 = e1)
% 37.52/6.09 | |
% 37.52/6.09 | | REDUCE: (44), (1557) imply:
% 37.52/6.09 | | (1567) op(e0, e3) = e1
% 37.52/6.09 | |
% 37.52/6.09 | | BETA: splitting (50) gives:
% 37.52/6.09 | |
% 37.52/6.09 | | Case 1:
% 37.52/6.09 | | |
% 37.52/6.09 | | | (1568) ~ (all_6_1 = e1)
% 37.52/6.09 | | |
% 37.52/6.09 | | | BETA: splitting (54) gives:
% 37.52/6.09 | | |
% 37.52/6.09 | | | Case 1:
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | (1569) ~ (all_8_0 = e2)
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | BETA: splitting (9) gives:
% 37.52/6.09 | | | |
% 37.52/6.09 | | | | Case 1:
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | (1570) unit = e3
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | REDUCE: (2), (1570) imply:
% 37.52/6.09 | | | | | (1571) op(e0, e3) = e0
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | GROUND_INST: instantiating (function-axioms) with e1, e0, e3, e0,
% 37.52/6.09 | | | | | simplifying with (1567), (1571) gives:
% 37.52/6.09 | | | | | (1572) e1 = e0
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | REDUCE: (12), (1572) imply:
% 37.52/6.09 | | | | | (1573) $false
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | CLOSE: (1573) is inconsistent.
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | Case 2:
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | (1574) unit = e2 | unit = e1 | unit = e0
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | BETA: splitting (62) gives:
% 37.52/6.09 | | | | |
% 37.52/6.09 | | | | | Case 1:
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | (1575) ~ (all_12_0 = e3)
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | BETA: splitting (70) gives:
% 37.52/6.09 | | | | | |
% 37.52/6.09 | | | | | | Case 1:
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | (1576) ~ (all_16_0 = e1)
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | REDUCE: (443), (1576) imply:
% 37.52/6.09 | | | | | | | (1577) ~ (all_10_0 = e1)
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | BETA: splitting (74) gives:
% 37.52/6.09 | | | | | | |
% 37.52/6.09 | | | | | | | Case 1:
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | (1578) ~ (all_18_0 = e2)
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | BETA: splitting (78) gives:
% 37.52/6.09 | | | | | | | |
% 37.52/6.09 | | | | | | | | Case 1:
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | | (1579) ~ (all_20_0 = e3)
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | | REDUCE: (446), (1579) imply:
% 37.52/6.09 | | | | | | | | | (1580) ~ (all_8_0 = e3)
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | | BETA: splitting (94) gives:
% 37.52/6.09 | | | | | | | | |
% 37.52/6.09 | | | | | | | | | Case 1:
% 37.52/6.09 | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | (1581) ~ (all_28_0 = e1)
% 37.52/6.09 | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | BETA: splitting (254) gives:
% 37.52/6.09 | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | Case 1:
% 37.52/6.09 | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | (1582) all_58_9 = e1
% 37.52/6.09 | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | COMBINE_EQS: (513), (1582) imply:
% 37.52/6.09 | | | | | | | | | | | (1583) all_10_0 = e1
% 37.52/6.09 | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | REDUCE: (1577), (1583) imply:
% 37.52/6.09 | | | | | | | | | | | (1584) $false
% 37.52/6.09 | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | CLOSE: (1584) is inconsistent.
% 37.52/6.09 | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | Case 2:
% 37.52/6.09 | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | (1585) all_58_10 = e1 | all_58_11 = e1 | all_58_15 = e1
% 37.52/6.09 | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | BETA: splitting (1585) gives:
% 37.52/6.09 | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | Case 1:
% 37.52/6.09 | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | (1586) all_58_10 = e1
% 37.52/6.09 | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | COMBINE_EQS: (318), (1586) imply:
% 37.52/6.09 | | | | | | | | | | | | (1587) all_28_0 = e1
% 37.52/6.09 | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | REDUCE: (1581), (1587) imply:
% 37.52/6.09 | | | | | | | | | | | | (1588) $false
% 37.52/6.09 | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | CLOSE: (1588) is inconsistent.
% 37.52/6.09 | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | Case 2:
% 37.52/6.09 | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | (1589) all_58_11 = e1 | all_58_15 = e1
% 37.52/6.09 | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | BETA: splitting (1589) gives:
% 37.52/6.09 | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | Case 1:
% 37.52/6.09 | | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | | (1590) all_58_11 = e1
% 37.52/6.09 | | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | | COMBINE_EQS: (512), (1590) imply:
% 37.52/6.09 | | | | | | | | | | | | | (1591) all_8_0 = e1
% 37.52/6.09 | | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | | SIMP: (1591) implies:
% 37.52/6.09 | | | | | | | | | | | | | (1592) all_8_0 = e1
% 37.52/6.09 | | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | | REDUCE: (564), (1592) imply:
% 37.52/6.09 | | | | | | | | | | | | | (1593) ~ (all_26_0 = e1)
% 37.52/6.09 | | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | | REDUCE: (1580), (1592) imply:
% 37.52/6.09 | | | | | | | | | | | | | (1594) ~ (e3 = e1)
% 37.52/6.09 | | | | | | | | | | | | |
% 37.52/6.09 | | | | | | | | | | | | | REDUCE: (1569), (1592) imply:
% 37.52/6.10 | | | | | | | | | | | | | (1595) ~ (e2 = e1)
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | BETA: splitting (265) gives:
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | (1596) all_58_1 = e1
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (516), (1596) imply:
% 37.52/6.10 | | | | | | | | | | | | | | (1597) all_6_0 = e1
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (430), (1597) imply:
% 37.52/6.10 | | | | | | | | | | | | | | (1598) all_50_0 = e1
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | REDUCE: (545), (1597) imply:
% 37.52/6.10 | | | | | | | | | | | | | | (1599) ~ (all_6_1 = e1)
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | (1600) ~ (all_50_0 = e1)
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | REDUCE: (1598), (1600) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | (1601) $false
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | CLOSE: (1601) is inconsistent.
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | (1602) ~ (all_50_1 = e0)
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | REDUCE: (498), (1602) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | (1603) ~ (all_6_1 = e0)
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | (1604) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.52/6.10 | | | | | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 37.52/6.10 | | | | | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | BETA: splitting (1604) gives:
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1605) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.52/6.10 | | | | | | | | | | | | | | | | | all_52_3 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | ALPHA: (1605) implies:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1606) all_52_3 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1607) all_52_2 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1608) all_52_1 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (1608) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1609) all_6_1 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1607) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1610) all_12_1 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1606) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1611) all_8_1 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | SIMP: (1611) implies:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1612) all_8_1 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1610) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1613) all_38_1 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (1609) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1614) all_40_1 = e3
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | REDUCE: (557), (1609) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1615) ~ (all_42_0 = e3)
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | REDUCE: (555), (1609) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1616) ~ (all_26_0 = e3)
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | REDUCE: (579), (1612) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1617) ~ (all_22_0 = e3)
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | | (1618) ~ (all_38_0 = e2)
% 37.52/6.10 | | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | | REDUCE: (442), (1618) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | | (1619) ~ (all_22_0 = e2)
% 37.52/6.10 | | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (223), (224), (227), (287), (433), (503),
% 37.52/6.10 | | | | | | | | | | | | | | | | | | (506), (563), (565), (1560), (1562), (1593),
% 37.52/6.10 | | | | | | | | | | | | | | | | | | (1614), (1615), (1616), (1617), (1619) are
% 37.52/6.10 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 37.52/6.10 | | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | | (1620) ~ (all_38_1 = e3)
% 37.52/6.10 | | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | | REDUCE: (1613), (1620) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | | | (1621) $false
% 37.52/6.10 | | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | | CLOSE: (1621) is inconsistent.
% 37.52/6.10 | | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | (1622) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.52/6.10 | | | | | | | | | | | | | | | | | all_52_3 = e2
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (1558), (1622) are inconsistent by
% 37.52/6.10 | | | | | | | | | | | | | | | | | sub-proof #13.
% 37.52/6.10 | | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | (1623) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.52/6.10 | | | | | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 37.52/6.10 | | | | | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (1568), (1603),
% 37.52/6.10 | | | | | | | | | | | | | | | | (1623) are inconsistent by sub-proof #44.
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | (1624) all_58_3 = e1 | all_58_7 = e1 | all_58_13 = e1
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | BETA: splitting (1624) gives:
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | (1625) all_58_3 = e1
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | COMBINE_EQS: (331), (1625) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | (1626) all_6_1 = e1
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | REDUCE: (1568), (1626) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | (1627) $false
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | CLOSE: (1627) is inconsistent.
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | (1628) all_58_7 = e1 | all_58_13 = e1
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | BETA: splitting (1628) gives:
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | (1629) all_58_7 = e1
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (1629) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | (1630) all_26_0 = e1
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | REDUCE: (1593), (1630) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | (1631) $false
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | CLOSE: (1631) is inconsistent.
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | (1632) all_58_13 = e1
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (1632) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | (1633) all_42_0 = e1
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | SIMP: (1633) implies:
% 37.52/6.10 | | | | | | | | | | | | | | | | (1634) all_42_0 = e1
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | REDUCE: (1560), (1634) imply:
% 37.52/6.10 | | | | | | | | | | | | | | | | (1635) $false
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | | CLOSE: (1635) is inconsistent.
% 37.52/6.10 | | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | (1636) all_58_15 = e1
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | COMBINE_EQS: (509), (1636) imply:
% 37.52/6.10 | | | | | | | | | | | | | (1637) all_8_1 = e1
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | REDUCE: (1564), (1637) imply:
% 37.52/6.10 | | | | | | | | | | | | | (1638) $false
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | CLOSE: (1638) is inconsistent.
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | (1639) all_28_0 = e1
% 37.52/6.10 | | | | | | | | | | (1640) ~ (all_28_1 = e3)
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | REDUCE: (583), (1639) imply:
% 37.52/6.10 | | | | | | | | | | (1641) ~ (all_8_0 = e1)
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | SIMP: (1641) implies:
% 37.52/6.10 | | | | | | | | | | (1642) ~ (all_8_0 = e1)
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | REDUCE: (561), (1639) imply:
% 37.52/6.10 | | | | | | | | | | (1643) ~ (all_6_1 = e1)
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | REDUCE: (493), (1640) imply:
% 37.52/6.10 | | | | | | | | | | (1644) ~ (all_8_1 = e3)
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | BETA: splitting (226) gives:
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | (1645) all_56_11 = e3
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | COMBINE_EQS: (505), (1645) imply:
% 37.52/6.10 | | | | | | | | | | | (1646) all_8_0 = e3
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | SIMP: (1646) implies:
% 37.52/6.10 | | | | | | | | | | | (1647) all_8_0 = e3
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | REDUCE: (1580), (1647) imply:
% 37.52/6.10 | | | | | | | | | | | (1648) $false
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | CLOSE: (1648) is inconsistent.
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | (1649) all_56_11 = e2 | all_56_11 = e1 | all_56_11 = e0
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | BETA: splitting (1649) gives:
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | (1650) all_56_11 = e2
% 37.52/6.10 | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | REF_CLOSE: (505), (1569), (1650) are inconsistent by
% 37.52/6.10 | | | | | | | | | | | | sub-proof #56.
% 37.52/6.10 | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | (1651) all_56_11 = e1 | all_56_11 = e0
% 37.52/6.10 | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | BETA: splitting (144) gives:
% 37.52/6.10 | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | (1652) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.52/6.10 | | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 37.52/6.10 | | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | BETA: splitting (1652) gives:
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | (1653) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.52/6.10 | | | | | | | | | | | | | | all_52_3 = e3
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | REF_CLOSE: (499), (1644), (1653) are inconsistent by
% 37.52/6.10 | | | | | | | | | | | | | | sub-proof #34.
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | (1654) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.52/6.10 | | | | | | | | | | | | | | all_52_3 = e2
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | REF_CLOSE: (423), (1558), (1654) are inconsistent by
% 37.52/6.10 | | | | | | | | | | | | | | sub-proof #13.
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | (1655) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.52/6.10 | | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 37.52/6.10 | | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | BETA: splitting (1655) gives:
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | Case 1:
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | (1656) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.52/6.10 | | | | | | | | | | | | | | all_52_3 = e1
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | ALPHA: (1656) implies:
% 37.52/6.10 | | | | | | | | | | | | | | (1657) all_52_0 = e1
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (1568), (1657) are
% 37.52/6.10 | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | (1658) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 37.52/6.10 | | | | | | | | | | | | | | all_52_3 = e0
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | ALPHA: (1658) implies:
% 37.52/6.10 | | | | | | | | | | | | | | (1659) all_52_3 = e0
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (499), (1659) imply:
% 37.52/6.10 | | | | | | | | | | | | | | (1660) all_8_1 = e0
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | SIMP: (1660) implies:
% 37.52/6.10 | | | | | | | | | | | | | | (1661) all_8_1 = e0
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | REDUCE: (584), (1661) imply:
% 37.52/6.10 | | | | | | | | | | | | | | (1662) ~ (all_8_0 = e0)
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | | REF_CLOSE: (505), (1642), (1651), (1662) are inconsistent by
% 37.52/6.10 | | | | | | | | | | | | | | sub-proof #55.
% 37.52/6.10 | | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | | |
% 37.52/6.10 | | | | | | | | | End of split
% 37.52/6.10 | | | | | | | | |
% 37.52/6.10 | | | | | | | | Case 2:
% 37.52/6.10 | | | | | | | | |
% 37.52/6.10 | | | | | | | | | (1663) all_20_0 = e3
% 37.52/6.10 | | | | | | | | | (1664) ~ (all_20_1 = e2)
% 37.52/6.10 | | | | | | | | |
% 37.52/6.10 | | | | | | | | | COMBINE_EQS: (446), (1663) imply:
% 37.64/6.10 | | | | | | | | | (1665) all_8_0 = e3
% 37.64/6.10 | | | | | | | | |
% 37.64/6.10 | | | | | | | | | SIMP: (1665) implies:
% 37.64/6.10 | | | | | | | | | (1666) all_8_0 = e3
% 37.64/6.10 | | | | | | | | |
% 37.64/6.10 | | | | | | | | | REDUCE: (492), (1664) imply:
% 37.64/6.10 | | | | | | | | | (1667) ~ (all_8_1 = e2)
% 37.64/6.10 | | | | | | | | |
% 37.64/6.10 | | | | | | | | | REDUCE: (584), (1666) imply:
% 37.64/6.10 | | | | | | | | | (1668) ~ (all_8_1 = e3)
% 37.64/6.10 | | | | | | | | |
% 37.64/6.10 | | | | | | | | | SIMP: (1668) implies:
% 37.64/6.10 | | | | | | | | | (1669) ~ (all_8_1 = e3)
% 37.64/6.10 | | | | | | | | |
% 37.64/6.10 | | | | | | | | | BETA: splitting (222) gives:
% 37.64/6.10 | | | | | | | | |
% 37.64/6.10 | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | (1670) all_56_15 = e3
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | COMBINE_EQS: (502), (1670) imply:
% 37.64/6.10 | | | | | | | | | | (1671) all_8_1 = e3
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | SIMP: (1671) implies:
% 37.64/6.10 | | | | | | | | | | (1672) all_8_1 = e3
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | REDUCE: (1669), (1672) imply:
% 37.64/6.10 | | | | | | | | | | (1673) $false
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | CLOSE: (1673) is inconsistent.
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | Case 2:
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | (1674) ~ (all_56_15 = e3)
% 37.64/6.10 | | | | | | | | | | (1675) all_56_15 = e2 | all_56_15 = e1 | all_56_15 = e0
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | BETA: splitting (1675) gives:
% 37.64/6.10 | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | (1676) all_56_15 = e2
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | COMBINE_EQS: (502), (1676) imply:
% 37.64/6.10 | | | | | | | | | | | (1677) all_8_1 = e2
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | SIMP: (1677) implies:
% 37.64/6.10 | | | | | | | | | | | (1678) all_8_1 = e2
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | REDUCE: (1667), (1678) imply:
% 37.64/6.10 | | | | | | | | | | | (1679) $false
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | CLOSE: (1679) is inconsistent.
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | Case 2:
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | (1680) ~ (all_56_15 = e2)
% 37.64/6.10 | | | | | | | | | | | (1681) all_56_15 = e1 | all_56_15 = e0
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | BETA: splitting (1681) gives:
% 37.64/6.10 | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | (1682) all_56_15 = e1
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | COMBINE_EQS: (502), (1682) imply:
% 37.64/6.10 | | | | | | | | | | | | (1683) all_8_1 = e1
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | SIMP: (1683) implies:
% 37.64/6.10 | | | | | | | | | | | | (1684) all_8_1 = e1
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | REDUCE: (1564), (1684) imply:
% 37.64/6.10 | | | | | | | | | | | | (1685) $false
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | CLOSE: (1685) is inconsistent.
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | Case 2:
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | (1686) all_56_15 = e0
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | COMBINE_EQS: (502), (1686) imply:
% 37.64/6.10 | | | | | | | | | | | | (1687) all_8_1 = e0
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | SIMP: (1687) implies:
% 37.64/6.10 | | | | | | | | | | | | (1688) all_8_1 = e0
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | COMBINE_EQS: (499), (1688) imply:
% 37.64/6.10 | | | | | | | | | | | | (1689) all_52_3 = e0
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | REDUCE: (1669), (1688) imply:
% 37.64/6.10 | | | | | | | | | | | | (1690) ~ (e3 = e0)
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | REDUCE: (1667), (1688) imply:
% 37.64/6.10 | | | | | | | | | | | | (1691) ~ (e2 = e0)
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | REDUCE: (1564), (1688) imply:
% 37.64/6.10 | | | | | | | | | | | | (1692) ~ (e1 = e0)
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | BETA: splitting (144) gives:
% 37.64/6.10 | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | (1693) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.64/6.10 | | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 37.64/6.10 | | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 37.64/6.10 | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | BETA: splitting (1693) gives:
% 37.64/6.10 | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | (1694) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.64/6.10 | | | | | | | | | | | | | | all_52_3 = e3
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | ALPHA: (1694) implies:
% 37.64/6.10 | | | | | | | | | | | | | | (1695) all_52_3 = e3
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (1689), (1695) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1696) e3 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | REDUCE: (15), (1696) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1697) $false
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | CLOSE: (1697) is inconsistent.
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | Case 2:
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | (1698) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.64/6.10 | | | | | | | | | | | | | | all_52_3 = e2
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | ALPHA: (1698) implies:
% 37.64/6.10 | | | | | | | | | | | | | | (1699) all_52_3 = e2
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (1689), (1699) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1700) e2 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | REDUCE: (13), (1700) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1701) $false
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | CLOSE: (1701) is inconsistent.
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | End of split
% 37.64/6.10 | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | Case 2:
% 37.64/6.10 | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | (1702) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.64/6.10 | | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 37.64/6.10 | | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 37.64/6.10 | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | BETA: splitting (1702) gives:
% 37.64/6.10 | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | (1703) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.64/6.10 | | | | | | | | | | | | | | all_52_3 = e1
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | ALPHA: (1703) implies:
% 37.64/6.10 | | | | | | | | | | | | | | (1704) all_52_0 = e1
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (1568), (1704) are
% 37.64/6.10 | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | Case 2:
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | (1705) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 37.64/6.10 | | | | | | | | | | | | | | all_52_3 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | ALPHA: (1705) implies:
% 37.64/6.10 | | | | | | | | | | | | | | (1706) all_52_1 = e0
% 37.64/6.10 | | | | | | | | | | | | | | (1707) all_52_0 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (423), (1707) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1708) all_4_1 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (432), (1706) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1709) all_6_1 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (494), (1708) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1710) all_34_1 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (498), (1709) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1711) all_50_1 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | COMBINE_EQS: (356), (1708) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1712) all_58_0 = e0
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | REDUCE: (559), (1709) imply:
% 37.64/6.10 | | | | | | | | | | | | | | (1713) ~ (all_12_0 = e0)
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 37.64/6.10 | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | (1714) ~ (all_34_0 = e2)
% 37.64/6.10 | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 37.64/6.10 | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | | (1715) ~ (all_50_0 = e1)
% 37.64/6.10 | | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | | REDUCE: (430), (1715) imply:
% 37.64/6.10 | | | | | | | | | | | | | | | | (1716) ~ (all_6_0 = e1)
% 37.64/6.10 | | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 37.64/6.10 | | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.10 | | | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | | | (1717) all_58_0 = e1
% 37.64/6.10 | | | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (1712), (1717) are inconsistent by sub-proof
% 37.64/6.10 | | | | | | | | | | | | | | | | | #53.
% 37.64/6.10 | | | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.10 | | | | | | | | | | | | | | | | |
% 37.64/6.10 | | | | | | | | | | | | | | | | | (1718) all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1
% 37.64/6.10 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (229), (270), (335), (507), (513), (514),
% 37.64/6.11 | | | | | | | | | | | | | | | | | (515), (516), (533), (567), (1559), (1575),
% 37.64/6.11 | | | | | | | | | | | | | | | | | (1577), (1578), (1712), (1713), (1714), (1716),
% 37.64/6.11 | | | | | | | | | | | | | | | | | (1718) are inconsistent by sub-proof #1.
% 37.64/6.11 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | (1719) ~ (all_50_1 = e0)
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | REDUCE: (1711), (1719) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | (1720) $false
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | CLOSE: (1720) is inconsistent.
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | (1721) ~ (all_34_1 = e0)
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | REDUCE: (1710), (1721) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1722) $false
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | CLOSE: (1722) is inconsistent.
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | End of split
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | (1723) all_18_0 = e2
% 37.64/6.11 | | | | | | | | (1724) ~ (all_18_1 = e0)
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | COMBINE_EQS: (515), (1723) imply:
% 37.64/6.11 | | | | | | | | (1725) all_58_4 = e2
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | REDUCE: (570), (1723) imply:
% 37.64/6.11 | | | | | | | | (1726) ~ (all_22_0 = e2)
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | REDUCE: (551), (1723) imply:
% 37.64/6.11 | | | | | | | | (1727) ~ (all_6_0 = e2)
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | SIMP: (1727) implies:
% 37.64/6.11 | | | | | | | | (1728) ~ (all_6_0 = e2)
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | REDUCE: (526), (1723) imply:
% 37.64/6.11 | | | | | | | | (1729) ~ (all_4_1 = e2)
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | REDUCE: (487), (1724) imply:
% 37.64/6.11 | | | | | | | | (1730) ~ (all_12_1 = e0)
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | BETA: splitting (269) gives:
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | (1731) all_58_0 = e1
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | COMBINE_EQS: (356), (1731) imply:
% 37.64/6.11 | | | | | | | | | (1732) all_4_1 = e1
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | COMBINE_EQS: (423), (1732) imply:
% 37.64/6.11 | | | | | | | | | (1733) all_52_0 = e1
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (1568), (1733) are
% 37.64/6.11 | | | | | | | | | inconsistent by sub-proof #58.
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | (1734) all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | BETA: splitting (1734) gives:
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | (1735) all_58_1 = e1
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | COMBINE_EQS: (516), (1735) imply:
% 37.64/6.11 | | | | | | | | | | (1736) all_6_0 = e1
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | REDUCE: (547), (1736) imply:
% 37.64/6.11 | | | | | | | | | | (1737) ~ (all_26_0 = e1)
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | REDUCE: (545), (1736) imply:
% 37.64/6.11 | | | | | | | | | | (1738) ~ (all_6_1 = e1)
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | REDUCE: (1728), (1736) imply:
% 37.64/6.11 | | | | | | | | | | (1739) ~ (e2 = e1)
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | BETA: splitting (144) gives:
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | (1740) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.64/6.11 | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 37.64/6.11 | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | BETA: splitting (1740) gives:
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | (1741) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.64/6.11 | | | | | | | | | | | | all_52_3 = e3
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | ALPHA: (1741) implies:
% 37.64/6.11 | | | | | | | | | | | | (1742) all_52_3 = e3
% 37.64/6.11 | | | | | | | | | | | | (1743) all_52_1 = e3
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | COMBINE_EQS: (432), (1743) imply:
% 37.64/6.11 | | | | | | | | | | | | (1744) all_6_1 = e3
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | COMBINE_EQS: (499), (1742) imply:
% 37.64/6.11 | | | | | | | | | | | | (1745) all_8_1 = e3
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | SIMP: (1745) implies:
% 37.64/6.11 | | | | | | | | | | | | (1746) all_8_1 = e3
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | COMBINE_EQS: (468), (1744) imply:
% 37.64/6.11 | | | | | | | | | | | | (1747) all_40_1 = e3
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | REDUCE: (557), (1744) imply:
% 37.64/6.11 | | | | | | | | | | | | (1748) ~ (all_42_0 = e3)
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | REDUCE: (555), (1744) imply:
% 37.64/6.11 | | | | | | | | | | | | (1749) ~ (all_26_0 = e3)
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | REDUCE: (579), (1746) imply:
% 37.64/6.11 | | | | | | | | | | | | (1750) ~ (all_22_0 = e3)
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | REF_CLOSE: (118), (223), (224), (227), (287), (433), (503),
% 37.64/6.11 | | | | | | | | | | | | (506), (563), (565), (1560), (1562), (1726),
% 37.64/6.11 | | | | | | | | | | | | (1737), (1747), (1748), (1749), (1750) are
% 37.64/6.11 | | | | | | | | | | | | inconsistent by sub-proof #3.
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | (1751) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.64/6.11 | | | | | | | | | | | | all_52_3 = e2
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | REF_CLOSE: (423), (1558), (1751) are inconsistent by
% 37.64/6.11 | | | | | | | | | | | | sub-proof #13.
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | (1752) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.64/6.11 | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 37.64/6.11 | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (375), (432), (1568),
% 37.64/6.11 | | | | | | | | | | | (1730), (1752) are inconsistent by sub-proof #26.
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | (1753) all_58_4 = e1 | all_58_9 = e1
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | BETA: splitting (1753) gives:
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | (1754) all_58_4 = e1
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | COMBINE_EQS: (1725), (1754) imply:
% 37.64/6.11 | | | | | | | | | | | (1755) e2 = e1
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | REDUCE: (14), (1755) imply:
% 37.64/6.11 | | | | | | | | | | | (1756) $false
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | CLOSE: (1756) is inconsistent.
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | (1757) all_58_9 = e1
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | COMBINE_EQS: (513), (1757) imply:
% 37.64/6.11 | | | | | | | | | | | (1758) all_10_0 = e1
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | REDUCE: (1577), (1758) imply:
% 37.64/6.11 | | | | | | | | | | | (1759) $false
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | CLOSE: (1759) is inconsistent.
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | End of split
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | End of split
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | End of split
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | Case 2:
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | (1760) all_16_0 = e1
% 37.64/6.11 | | | | | | | (1761) ~ (all_16_1 = e2)
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | COMBINE_EQS: (443), (1760) imply:
% 37.64/6.11 | | | | | | | (1762) all_10_0 = e1
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | SIMP: (1762) implies:
% 37.64/6.11 | | | | | | | (1763) all_10_0 = e1
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | COMBINE_EQS: (513), (1763) imply:
% 37.64/6.11 | | | | | | | (1764) all_58_9 = e1
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | REDUCE: (581), (1763) imply:
% 37.64/6.11 | | | | | | | (1765) ~ (all_28_0 = e1)
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | REDUCE: (273), (1761) imply:
% 37.64/6.11 | | | | | | | (1766) ~ (all_8_1 = e2)
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | REDUCE: (553), (1763) imply:
% 37.64/6.11 | | | | | | | (1767) ~ (all_6_0 = e1)
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | SIMP: (1767) implies:
% 37.64/6.11 | | | | | | | (1768) ~ (all_6_0 = e1)
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | REDUCE: (57), (1763) imply:
% 37.64/6.11 | | | | | | | (1769) op(e3, e0) = e1
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | BETA: splitting (255) gives:
% 37.64/6.11 | | | | | | |
% 37.64/6.11 | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | (1770) all_58_9 = e2
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | REF_CLOSE: (14), (1764), (1770) are inconsistent by sub-proof
% 37.64/6.11 | | | | | | | | #22.
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | (1771) all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | BETA: splitting (1771) gives:
% 37.64/6.11 | | | | | | | |
% 37.64/6.11 | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | (1772) all_58_10 = e2
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | COMBINE_EQS: (318), (1772) imply:
% 37.64/6.11 | | | | | | | | | (1773) all_28_0 = e2
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | REDUCE: (535), (1773) imply:
% 37.64/6.11 | | | | | | | | | (1774) ~ (all_14_0 = e2)
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | SIMP: (1774) implies:
% 37.64/6.11 | | | | | | | | | (1775) ~ (all_14_0 = e2)
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | REDUCE: (561), (1773) imply:
% 37.64/6.11 | | | | | | | | | (1776) ~ (all_6_1 = e2)
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | SIMP: (1776) implies:
% 37.64/6.11 | | | | | | | | | (1777) ~ (all_6_1 = e2)
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | BETA: splitting (270) gives:
% 37.64/6.11 | | | | | | | | |
% 37.64/6.11 | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | (1778) all_58_0 = e2
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | COMBINE_EQS: (356), (1778) imply:
% 37.64/6.11 | | | | | | | | | | (1779) all_4_1 = e2
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | REDUCE: (1558), (1779) imply:
% 37.64/6.11 | | | | | | | | | | (1780) $false
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | CLOSE: (1780) is inconsistent.
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | (1781) all_58_2 = e2 | all_58_6 = e2 | all_58_12 = e2
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | BETA: splitting (1781) gives:
% 37.64/6.11 | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | (1782) all_58_2 = e2
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | COMBINE_EQS: (335), (1782) imply:
% 37.64/6.11 | | | | | | | | | | | (1783) all_14_0 = e2
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | REDUCE: (1775), (1783) imply:
% 37.64/6.11 | | | | | | | | | | | (1784) $false
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | CLOSE: (1784) is inconsistent.
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | (1785) all_58_6 = e2 | all_58_12 = e2
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | BETA: splitting (1785) gives:
% 37.64/6.11 | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | (1786) all_58_6 = e2
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | COMBINE_EQS: (514), (1786) imply:
% 37.64/6.11 | | | | | | | | | | | | (1787) all_34_0 = e2
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | REDUCE: (520), (1787) imply:
% 37.64/6.11 | | | | | | | | | | | | (1788) ~ (all_4_1 = e2)
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | BETA: splitting (106) gives:
% 37.64/6.11 | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | (1789) ~ (all_34_0 = e2)
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | REDUCE: (1787), (1789) imply:
% 37.64/6.11 | | | | | | | | | | | | | (1790) $false
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | CLOSE: (1790) is inconsistent.
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | (1791) ~ (all_34_1 = e0)
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | REDUCE: (494), (1791) imply:
% 37.64/6.11 | | | | | | | | | | | | | (1792) ~ (all_4_1 = e0)
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | BETA: splitting (144) gives:
% 37.64/6.11 | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | (1793) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.64/6.11 | | | | | | | | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2
% 37.64/6.11 | | | | | | | | | | | | | | & all_52_2 = e2 & all_52_3 = e2)
% 37.64/6.11 | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | BETA: splitting (1793) gives:
% 37.64/6.11 | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | (1794) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.64/6.11 | | | | | | | | | | | | | | | all_52_3 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | ALPHA: (1794) implies:
% 37.64/6.11 | | | | | | | | | | | | | | | (1795) all_52_3 = e3
% 37.64/6.11 | | | | | | | | | | | | | | | (1796) all_52_2 = e3
% 37.64/6.11 | | | | | | | | | | | | | | | (1797) all_52_1 = e3
% 37.64/6.11 | | | | | | | | | | | | | | | (1798) all_52_0 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | COMBINE_EQS: (423), (1798) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1799) all_4_1 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | COMBINE_EQS: (432), (1797) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1800) all_6_1 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1796) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1801) all_12_1 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1795) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1802) all_8_1 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | SIMP: (1802) implies:
% 37.64/6.11 | | | | | | | | | | | | | | | (1803) all_8_1 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1801) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1804) all_38_1 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | COMBINE_EQS: (509), (1803) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1805) all_58_15 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | COMBINE_EQS: (356), (1799) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1806) all_58_0 = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | REDUCE: (557), (1800) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1807) ~ (all_42_0 = e3)
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | REDUCE: (524), (1799) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1808) ~ (all_6_0 = e3)
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | REDUCE: (48), (1800) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1809) op(e2, e2) = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | REDUCE: (60), (1801) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1810) op(e1, e1) = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | REDUCE: (52), (1803) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | (1811) op(e0, e0) = e3
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 37.64/6.11 | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | (1812) ~ (all_38_0 = e2)
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | REDUCE: (442), (1812) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | (1813) ~ (all_22_0 = e2)
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | (1814) all_58_12 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (1559), (1814) are inconsistent by sub-proof
% 37.64/6.11 | | | | | | | | | | | | | | | | | #18.
% 37.64/6.11 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | (1815) ~ (all_58_12 = e2)
% 37.64/6.11 | | | | | | | | | | | | | | | | | (1816) all_58_13 = e2 | all_58_14 = e2 | all_58_15 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | REDUCE: (1559), (1815) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | (1817) ~ (e2 = e1)
% 37.64/6.11 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | BETA: splitting (1816) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | (1818) all_58_13 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (1818) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | (1819) all_42_0 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | REDUCE: (549), (1819) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | (1820) ~ (all_6_0 = e2)
% 37.64/6.11 | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | SIMP: (1820) implies:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | (1821) ~ (all_6_0 = e2)
% 37.64/6.11 | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | REDUCE: (1807), (1819) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | (1822) ~ (e3 = e2)
% 37.64/6.11 | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | (1823) all_58_0 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1806), (1823) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | (1824) e3 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1796), (1824) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | (1825) all_52_2 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (16), (17), (144), (432),
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | (1568), (1777), (1825) are inconsistent by
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 37.64/6.11 | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | (1826) all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | (1827) all_56_1 = e3
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (344), (1808), (1827) are inconsistent by
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | (1828) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | (1829) all_58_4 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1829) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | (1830) all_18_0 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | SIMP: (1830) implies:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | (1831) all_18_0 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1831) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | (1832) op(e3, e1) = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | (1833) all_58_0 = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1806), (1833) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | (1834) e3 = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1834) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | (1835) $false
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1835) is inconsistent.
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | (1836) all_58_1 = e0 | all_58_4 = e0 | all_58_9 = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | (1837) all_58_1 = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1837) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | (1838) all_6_0 = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1821), (1838) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | (1839) ~ (e2 = e0)
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1838) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | (1840) op(e3, e2) = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1574) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | (1841) unit = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1841) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | (1842) op(e3, e2) = e3
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1841) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | (1843) op(e2, e2) = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e2,
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1809), (1843) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | (1844) e3 = e2
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1840), (1842) gives:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | (1845) e3 = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1844), (1845) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | (1846) e2 = e0
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1846) imply:
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | (1847) $false
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.11 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1847) is inconsistent.
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | (1848) ~ (unit = e2)
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | (1849) unit = e1 | unit = e0
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1850) unit = e1
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1850) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1851) op(e3, e1) = e3
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1850) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1852) op(e1, e1) = e1
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e1,
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1810), (1852) gives:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1853) e3 = e1
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e1,
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1832), (1851) gives:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1854) e3 = e2
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1853), (1854) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1855) e2 = e1
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1855) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1856) $false
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1856) is inconsistent.
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1857) unit = e0
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1858) ~ (unit = e1)
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1857), (1858) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1859) ~ (e1 = e0)
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1857) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1860) op(e3, e0) = e3
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1857) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1861) op(e0, e0) = e0
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1811), (1861) gives:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1862) e3 = e0
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e0,
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1769), (1860) gives:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1863) e3 = e1
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1862), (1863) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1864) e1 = e0
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1864) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1865) $false
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1865) is inconsistent.
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | (1866) ~ (all_58_1 = e0)
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (1866) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | (1867) ~ (all_6_0 = e0)
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (344), (1768), (1821), (1828), (1867) are
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | (1868) ~ (all_58_4 = e2)
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1868) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | (1869) ~ (all_18_0 = e2)
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (515), (516), (1764), (1821), (1826), (1869)
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #21.
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | (1870) all_58_14 = e2 | all_58_15 = e2
% 37.64/6.12 | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | BETA: splitting (1870) gives:
% 37.64/6.12 | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | (1871) all_58_14 = e2
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (1813), (1871) are inconsistent by
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | (1872) all_58_15 = e2
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1805), (1872) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | (1873) e3 = e2
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1796), (1873) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | (1874) all_52_2 = e2
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (16), (17), (144), (432),
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | (1568), (1777), (1874) are inconsistent by
% 37.64/6.12 | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 37.64/6.12 | | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | (1875) ~ (all_38_1 = e3)
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | REDUCE: (1804), (1875) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | (1876) $false
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | CLOSE: (1876) is inconsistent.
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | (1877) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.64/6.12 | | | | | | | | | | | | | | | all_52_3 = e2
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | ALPHA: (1877) implies:
% 37.64/6.12 | | | | | | | | | | | | | | | (1878) all_52_2 = e2
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (16), (17), (144), (432),
% 37.64/6.12 | | | | | | | | | | | | | | | (1568), (1777), (1878) are inconsistent by
% 37.64/6.12 | | | | | | | | | | | | | | | sub-proof #57.
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | (1879) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.64/6.12 | | | | | | | | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0
% 37.64/6.12 | | | | | | | | | | | | | | & all_52_2 = e0 & all_52_3 = e0)
% 37.64/6.12 | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (423), (432), (1568),
% 37.64/6.12 | | | | | | | | | | | | | | (1792), (1879) are inconsistent by sub-proof #12.
% 37.64/6.12 | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | (1880) all_58_12 = e2
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | REF_CLOSE: (14), (1559), (1880) are inconsistent by sub-proof
% 37.64/6.12 | | | | | | | | | | | | #18.
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | End of split
% 37.64/6.12 | | | | | | | | |
% 37.64/6.12 | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | |
% 37.64/6.12 | | | | | | | | | (1881) all_58_11 = e2 | all_58_15 = e2
% 37.64/6.12 | | | | | | | | |
% 37.64/6.12 | | | | | | | | | REF_CLOSE: (509), (512), (1569), (1766), (1881) are
% 37.64/6.12 | | | | | | | | | inconsistent by sub-proof #31.
% 37.64/6.12 | | | | | | | | |
% 37.64/6.12 | | | | | | | | End of split
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | End of split
% 37.64/6.12 | | | | | | |
% 37.64/6.12 | | | | | | End of split
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | Case 2:
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | (1882) all_12_0 = e3
% 37.64/6.12 | | | | | | (1883) ~ (all_12_1 = e0)
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | REDUCE: (559), (1882) imply:
% 37.64/6.12 | | | | | | (1884) ~ (all_6_1 = e3)
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | SIMP: (1884) implies:
% 37.64/6.12 | | | | | | (1885) ~ (all_6_1 = e3)
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | REF_CLOSE: (12), (14), (16), (144), (375), (423), (432), (1558),
% 37.64/6.12 | | | | | | (1568), (1883), (1885) are inconsistent by sub-proof #10.
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | End of split
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | End of split
% 37.64/6.12 | | | |
% 37.64/6.12 | | | Case 2:
% 37.64/6.12 | | | |
% 37.64/6.12 | | | | (1886) all_8_0 = e2
% 37.64/6.12 | | | | (1887) ~ (all_8_1 = e3)
% 37.64/6.12 | | | |
% 37.64/6.12 | | | | COMBINE_EQS: (512), (1886) imply:
% 37.64/6.12 | | | | (1888) all_58_11 = e2
% 37.64/6.12 | | | |
% 37.64/6.12 | | | | REDUCE: (538), (1886) imply:
% 37.64/6.12 | | | | (1889) ~ (all_34_0 = e2)
% 37.64/6.12 | | | |
% 37.64/6.12 | | | | REDUCE: (53), (1886) imply:
% 37.64/6.12 | | | | (1890) op(e1, e0) = e2
% 37.64/6.12 | | | |
% 37.64/6.12 | | | | BETA: splitting (270) gives:
% 37.64/6.12 | | | |
% 37.64/6.12 | | | | Case 1:
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | | (1891) all_58_0 = e2
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | | COMBINE_EQS: (356), (1891) imply:
% 37.64/6.12 | | | | | (1892) all_4_1 = e2
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | | REDUCE: (1558), (1892) imply:
% 37.64/6.12 | | | | | (1893) $false
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | | CLOSE: (1893) is inconsistent.
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | Case 2:
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | | (1894) all_58_2 = e2 | all_58_6 = e2 | all_58_12 = e2
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | | BETA: splitting (1894) gives:
% 37.64/6.12 | | | | |
% 37.64/6.12 | | | | | Case 1:
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | (1895) all_58_2 = e2
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | COMBINE_EQS: (335), (1895) imply:
% 37.64/6.12 | | | | | | (1896) all_14_0 = e2
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | REDUCE: (533), (1896) imply:
% 37.64/6.12 | | | | | | (1897) ~ (all_12_0 = e2)
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | SIMP: (1897) implies:
% 37.64/6.12 | | | | | | (1898) ~ (all_12_0 = e2)
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | REDUCE: (532), (1896) imply:
% 37.64/6.12 | | | | | | (1899) ~ (all_6_1 = e2)
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | SIMP: (1899) implies:
% 37.64/6.12 | | | | | | (1900) ~ (all_6_1 = e2)
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | REDUCE: (518), (1896) imply:
% 37.64/6.12 | | | | | | (1901) ~ (all_4_1 = e2)
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | BETA: splitting (144) gives:
% 37.64/6.12 | | | | | |
% 37.64/6.12 | | | | | | Case 1:
% 37.64/6.12 | | | | | | |
% 37.64/6.12 | | | | | | | (1902) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.64/6.12 | | | | | | | all_52_3 = e3) | (all_52_0 = e2 & all_52_1 = e2 &
% 37.64/6.12 | | | | | | | all_52_2 = e2 & all_52_3 = e2)
% 37.64/6.12 | | | | | | |
% 37.64/6.12 | | | | | | | BETA: splitting (1902) gives:
% 37.64/6.12 | | | | | | |
% 37.64/6.12 | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | (1903) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 &
% 37.64/6.12 | | | | | | | | all_52_3 = e3
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REF_CLOSE: (499), (1887), (1903) are inconsistent by sub-proof
% 37.64/6.12 | | | | | | | | #34.
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | (1904) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 &
% 37.64/6.12 | | | | | | | | all_52_3 = e2
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | ALPHA: (1904) implies:
% 37.64/6.12 | | | | | | | | (1905) all_52_2 = e2
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REF_CLOSE: (12), (13), (14), (16), (17), (144), (432), (1568),
% 37.64/6.12 | | | | | | | | (1900), (1905) are inconsistent by sub-proof #57.
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | End of split
% 37.64/6.12 | | | | | | |
% 37.64/6.12 | | | | | | Case 2:
% 37.64/6.12 | | | | | | |
% 37.64/6.12 | | | | | | | (1906) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.64/6.12 | | | | | | | all_52_3 = e1) | (all_52_0 = e0 & all_52_1 = e0 &
% 37.64/6.12 | | | | | | | all_52_2 = e0 & all_52_3 = e0)
% 37.64/6.12 | | | | | | |
% 37.64/6.12 | | | | | | | BETA: splitting (1906) gives:
% 37.64/6.12 | | | | | | |
% 37.64/6.12 | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | (1907) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 &
% 37.64/6.12 | | | | | | | | all_52_3 = e1
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | ALPHA: (1907) implies:
% 37.64/6.12 | | | | | | | | (1908) all_52_0 = e1
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REF_CLOSE: (12), (14), (16), (144), (432), (1568), (1908) are
% 37.64/6.12 | | | | | | | | inconsistent by sub-proof #58.
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | (1909) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 &
% 37.64/6.12 | | | | | | | | all_52_3 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | ALPHA: (1909) implies:
% 37.64/6.12 | | | | | | | | (1910) all_52_3 = e0
% 37.64/6.12 | | | | | | | | (1911) all_52_2 = e0
% 37.64/6.12 | | | | | | | | (1912) all_52_1 = e0
% 37.64/6.12 | | | | | | | | (1913) all_52_0 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (423), (1913) imply:
% 37.64/6.12 | | | | | | | | (1914) all_4_1 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (432), (1912) imply:
% 37.64/6.12 | | | | | | | | (1915) all_6_1 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (375), (1911) imply:
% 37.64/6.12 | | | | | | | | (1916) all_12_1 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (499), (1910) imply:
% 37.64/6.12 | | | | | | | | (1917) all_8_1 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | SIMP: (1917) implies:
% 37.64/6.12 | | | | | | | | (1918) all_8_1 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (487), (1916) imply:
% 37.64/6.12 | | | | | | | | (1919) all_18_1 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (498), (1915) imply:
% 37.64/6.12 | | | | | | | | (1920) all_50_1 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (509), (1918) imply:
% 37.64/6.12 | | | | | | | | (1921) all_58_15 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (306), (1916) imply:
% 37.64/6.12 | | | | | | | | (1922) all_58_8 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | COMBINE_EQS: (356), (1914) imply:
% 37.64/6.12 | | | | | | | | (1923) all_58_0 = e0
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REDUCE: (557), (1915) imply:
% 37.64/6.12 | | | | | | | | (1924) ~ (all_42_0 = e0)
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REDUCE: (526), (1914) imply:
% 37.64/6.12 | | | | | | | | (1925) ~ (all_18_0 = e0)
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REDUCE: (559), (1915) imply:
% 37.64/6.12 | | | | | | | | (1926) ~ (all_12_0 = e0)
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REDUCE: (528), (1914) imply:
% 37.64/6.12 | | | | | | | | (1927) ~ (all_10_0 = e0)
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REDUCE: (524), (1914) imply:
% 37.64/6.12 | | | | | | | | (1928) ~ (all_6_0 = e0)
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | REDUCE: (1558), (1914) imply:
% 37.64/6.12 | | | | | | | | (1929) ~ (e2 = e0)
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | BETA: splitting (62) gives:
% 37.64/6.12 | | | | | | | |
% 37.64/6.12 | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | |
% 37.64/6.12 | | | | | | | | | (1930) ~ (all_12_0 = e3)
% 37.64/6.12 | | | | | | | | |
% 37.64/6.12 | | | | | | | | | BETA: splitting (74) gives:
% 37.64/6.12 | | | | | | | | |
% 37.64/6.12 | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | (1931) ~ (all_18_0 = e2)
% 37.64/6.12 | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | BETA: splitting (260) gives:
% 37.64/6.12 | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | (1932) all_58_4 = e2
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | COMBINE_EQS: (515), (1932) imply:
% 37.64/6.12 | | | | | | | | | | | (1933) all_18_0 = e2
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | REDUCE: (1931), (1933) imply:
% 37.64/6.12 | | | | | | | | | | | (1934) $false
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | CLOSE: (1934) is inconsistent.
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | (1935) all_58_5 = e2 | all_58_8 = e2 | all_58_14 = e2
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | BETA: splitting (1935) gives:
% 37.64/6.12 | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | (1936) all_58_5 = e2
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | COMBINE_EQS: (322), (1936) imply:
% 37.64/6.12 | | | | | | | | | | | | (1937) all_12_0 = e2
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | REDUCE: (1898), (1937) imply:
% 37.64/6.12 | | | | | | | | | | | | (1938) $false
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | CLOSE: (1938) is inconsistent.
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | (1939) all_58_8 = e2 | all_58_14 = e2
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | BETA: splitting (1939) gives:
% 37.64/6.12 | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | (1940) all_58_8 = e2
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | REF_CLOSE: (13), (1922), (1940) are inconsistent by sub-proof
% 37.64/6.12 | | | | | | | | | | | | | #37.
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | (1941) all_58_14 = e2
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | COMBINE_EQS: (285), (1941) imply:
% 37.64/6.12 | | | | | | | | | | | | | (1942) all_22_0 = e2
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | REDUCE: (565), (1942) imply:
% 37.64/6.12 | | | | | | | | | | | | | (1943) ~ (all_42_0 = e2)
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | BETA: splitting (138) gives:
% 37.64/6.12 | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | (1944) ~ (all_50_0 = e1)
% 37.64/6.12 | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | REDUCE: (430), (1944) imply:
% 37.64/6.12 | | | | | | | | | | | | | | (1945) ~ (all_6_0 = e1)
% 37.64/6.12 | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 37.64/6.12 | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | (1946) all_56_13 = e3
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1946) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | (1947) all_42_0 = e3
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | REDUCE: (549), (1947) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | (1948) ~ (all_6_0 = e3)
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | SIMP: (1948) implies:
% 37.64/6.12 | | | | | | | | | | | | | | | (1949) ~ (all_6_0 = e3)
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 37.64/6.12 | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | Case 1:
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | (1950) all_56_1 = e3
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (1950) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | (1951) all_6_0 = e3
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | REDUCE: (1949), (1951) imply:
% 37.64/6.12 | | | | | | | | | | | | | | | | (1952) $false
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | | CLOSE: (1952) is inconsistent.
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.64/6.12 | | | | | | | | | | | | | | | Case 2:
% 37.64/6.12 | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | (1953) ~ (all_56_1 = e3)
% 37.74/6.12 | | | | | | | | | | | | | | | | (1954) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 37.74/6.12 | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 37.74/6.12 | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.12 | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | (1955) all_56_6 = e3
% 37.74/6.12 | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1955) imply:
% 37.74/6.12 | | | | | | | | | | | | | | | | | (1956) all_12_0 = e3
% 37.74/6.12 | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | REDUCE: (1930), (1956) imply:
% 37.74/6.12 | | | | | | | | | | | | | | | | | (1957) $false
% 37.74/6.12 | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | CLOSE: (1957) is inconsistent.
% 37.74/6.12 | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.12 | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | (1958) ~ (all_56_6 = e3)
% 37.74/6.12 | | | | | | | | | | | | | | | | | (1959) all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.12 | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | BETA: splitting (1954) gives:
% 37.74/6.12 | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.12 | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | (1960) all_56_1 = e2
% 37.74/6.12 | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (1960) imply:
% 37.74/6.12 | | | | | | | | | | | | | | | | | | (1961) all_6_0 = e2
% 37.74/6.12 | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | REDUCE: (553), (1961) imply:
% 37.74/6.12 | | | | | | | | | | | | | | | | | | (1962) ~ (all_10_0 = e2)
% 37.74/6.12 | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | REDUCE: (1949), (1961) imply:
% 37.74/6.12 | | | | | | | | | | | | | | | | | | (1963) ~ (e3 = e2)
% 37.74/6.12 | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | REDUCE: (49), (1961) imply:
% 37.74/6.12 | | | | | | | | | | | | | | | | | | (1964) op(e3, e2) = e2
% 37.74/6.12 | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives:
% 37.74/6.12 | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.12 | | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | | (1965) all_56_6 = e2
% 37.74/6.12 | | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (1898), (1965) are inconsistent by
% 37.74/6.12 | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 37.74/6.12 | | | | | | | | | | | | | | | | | | |
% 37.74/6.12 | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.12 | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | (1966) all_56_6 = e1 | all_56_6 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (1966) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | (1967) all_56_6 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1967) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | (1968) all_12_0 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | SIMP: (1968) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | (1969) all_12_0 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1969) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | (1970) op(e2, e1) = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | (1971) all_56_2 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (1971) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | (1972) all_18_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | SIMP: (1972) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | (1973) all_18_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (1973) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | (1974) ~ (all_10_0 = e3)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | SIMP: (1974) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | (1975) ~ (all_10_0 = e3)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (1976) all_56_7 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1976) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (1977) all_28_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1977) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (1978) all_28_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1978) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (1979) op(e2, e0) = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (1980) all_58_0 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (1923), (1980) are inconsistent by sub-proof
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | #53.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (1981) all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_58_9 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (1982) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_10_0 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1983) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_10_0 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1962), (1984) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (1985) ~ (e2 = e1)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1984) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (1986) op(e3, e0) = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (1987) unit = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1987) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (1988) op(e0, e3) = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e0, e3,
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1567), (1988) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (1989) e1 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1989) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (1990) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1990) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (1991) unit = e2 | unit = e1 | unit = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) unit = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1992) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) op(e2, e0) = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1992) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) op(e3, e2) = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1979), (1993) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) e3 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e2,
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1964), (1994) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) e3 = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1995), (1996) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) e2 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1997) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1998) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) unit = e1 | unit = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1999) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) unit = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2000) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) op(e1, e0) = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2000) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) op(e2, e1) = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e0,
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1890), (2001) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) e2 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1970), (2002) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) e2 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2003), (2004) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) e1 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2005) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2006) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) unit = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2007) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) op(e3, e0) = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2007) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) op(e2, e0) = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e0,
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1979), (2009) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) e3 = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e0,
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1986), (2008) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) e3 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2010), (2011) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) e2 = e1
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2012) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2013) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (2014) ~ (all_58_9 = e1)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (513), (2014) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (2015) ~ (all_10_0 = e1)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (229), (270), (335), (507), (513), (514),
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (515), (516), (533), (567), (1559), (1889),
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (1923), (1926), (1930), (1931), (1945), (1981),
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (2015) are inconsistent by sub-proof #1.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (2016) ~ (all_56_7 = e3)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (2016) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (2017) ~ (all_28_0 = e3)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2018) all_58_9 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (2018) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2019) all_10_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2019) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2020) all_10_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1975), (2020) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2021) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2021) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2022) all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2022) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_58_10 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (318), (2017), (2023) are inconsistent by
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_58_11 = e3 | all_58_15 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2024) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_58_11 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1888), (2025) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2026) e3 = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2026) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2027) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2027) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_58_15 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (2028) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2029) e3 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2029) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2030) e3 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2030) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2031) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2031) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | (2032) ~ (all_56_2 = e3)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (2032) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | (2033) ~ (all_18_0 = e3)
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (2034) all_58_4 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2034) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (2035) all_18_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2035) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (2036) all_18_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2033), (2036) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (2037) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2037) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | (2038) all_58_5 = e3 | all_58_8 = e3 | all_58_14 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2038) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2039) all_58_5 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (2039) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2040) all_12_0 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1930), (2040) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2041) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2041) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | (2042) all_58_8 = e3 | all_58_14 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2042) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_58_8 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1922), (2043) are inconsistent by sub-proof
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | #51.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_58_14 = e3
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1939) gives:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_58_8 = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (1922), (2045) are inconsistent by sub-proof
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | #37.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1941), (2044) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2046) e3 = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2046) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2047) e3 = e2
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2047) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2048) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2048) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | (2049) all_56_6 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2049) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | (2050) all_12_0 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | SIMP: (2050) implies:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | (2051) all_12_0 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (1926), (2051) imply:
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | (2052) $false
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | | CLOSE: (2052) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | (2053) all_56_1 = e1 | all_56_1 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (344), (1928), (1945), (2053) are inconsistent by
% 37.74/6.13 | | | | | | | | | | | | | | | | | | sub-proof #39.
% 37.74/6.13 | | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | (2054) all_56_13 = e2 | all_56_13 = e1 | all_56_13 = e0
% 37.74/6.13 | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | BETA: splitting (2054) gives:
% 37.74/6.13 | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | Case 1:
% 37.74/6.13 | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | (2055) all_56_13 = e2
% 37.74/6.13 | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | REF_CLOSE: (287), (1943), (2055) are inconsistent by
% 37.74/6.13 | | | | | | | | | | | | | | | | sub-proof #8.
% 37.74/6.13 | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | (2056) all_56_13 = e1 | all_56_13 = e0
% 37.74/6.13 | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | | REF_CLOSE: (287), (1560), (1924), (2056) are inconsistent by
% 37.74/6.13 | | | | | | | | | | | | | | | | sub-proof #4.
% 37.74/6.13 | | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | (2057) ~ (all_50_1 = e0)
% 37.74/6.13 | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | REDUCE: (1920), (2057) imply:
% 37.74/6.13 | | | | | | | | | | | | | | (2058) $false
% 37.74/6.13 | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | | CLOSE: (2058) is inconsistent.
% 37.74/6.13 | | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | (2059) ~ (all_18_1 = e0)
% 37.74/6.13 | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | REDUCE: (1919), (2059) imply:
% 37.74/6.13 | | | | | | | | | | (2060) $false
% 37.74/6.13 | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | | CLOSE: (2060) is inconsistent.
% 37.74/6.13 | | | | | | | | | |
% 37.74/6.13 | | | | | | | | | End of split
% 37.74/6.13 | | | | | | | | |
% 37.74/6.13 | | | | | | | | Case 2:
% 37.74/6.13 | | | | | | | | |
% 37.74/6.13 | | | | | | | | | (2061) ~ (all_12_1 = e0)
% 37.74/6.13 | | | | | | | | |
% 37.74/6.13 | | | | | | | | | REDUCE: (1916), (2061) imply:
% 37.74/6.13 | | | | | | | | | (2062) $false
% 37.74/6.13 | | | | | | | | |
% 37.74/6.13 | | | | | | | | | CLOSE: (2062) is inconsistent.
% 37.74/6.13 | | | | | | | | |
% 37.74/6.13 | | | | | | | | End of split
% 37.74/6.13 | | | | | | | |
% 37.74/6.13 | | | | | | | End of split
% 37.74/6.13 | | | | | | |
% 37.74/6.13 | | | | | | End of split
% 37.74/6.13 | | | | | |
% 37.74/6.13 | | | | | Case 2:
% 37.74/6.13 | | | | | |
% 37.74/6.13 | | | | | | (2063) all_58_6 = e2 | all_58_12 = e2
% 37.74/6.13 | | | | | |
% 37.74/6.13 | | | | | | REF_CLOSE: (14), (514), (1559), (1889), (2063) are inconsistent by
% 37.74/6.13 | | | | | | sub-proof #2.
% 37.74/6.13 | | | | | |
% 37.74/6.13 | | | | | End of split
% 37.74/6.13 | | | | |
% 37.74/6.13 | | | | End of split
% 37.74/6.13 | | | |
% 37.74/6.13 | | | End of split
% 37.74/6.13 | | |
% 37.74/6.13 | | Case 2:
% 37.74/6.13 | | |
% 37.74/6.13 | | | (2064) all_6_1 = e1
% 37.74/6.13 | | | (2065) ~ (all_6_0 = e0)
% 37.74/6.13 | | |
% 37.74/6.13 | | | COMBINE_EQS: (496), (2064) imply:
% 37.74/6.13 | | | (2066) all_44_1 = e1
% 37.74/6.13 | | |
% 37.74/6.13 | | | COMBINE_EQS: (432), (2064) imply:
% 37.74/6.13 | | | (2067) all_52_1 = e1
% 37.74/6.13 | | |
% 37.74/6.13 | | | COMBINE_EQS: (331), (2064) imply:
% 37.74/6.13 | | | (2068) all_58_3 = e1
% 37.74/6.13 | | |
% 37.74/6.13 | | | REDUCE: (48), (2064) imply:
% 37.74/6.13 | | | (2069) op(e2, e2) = e1
% 37.74/6.13 | | |
% 37.74/6.14 | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (12), (14), (15), (16), (17),
% 37.74/6.14 | | | (45), (49), (53), (57), (58), (61), (66), (73), (93), (110),
% 37.74/6.14 | | | (126), (134), (144), (224), (225), (229), (230), (231), (232),
% 37.74/6.14 | | | (233), (253), (255), (256), (258), (262), (264), (266), (268),
% 37.74/6.14 | | | (271), (287), (306), (310), (318), (322), (335), (341), (344),
% 37.74/6.14 | | | (356), (363), (375), (423), (428), (435), (445), (450), (479),
% 37.74/6.14 | | | (491), (495), (499), (504), (507), (508), (509), (510), (511),
% 37.74/6.14 | | | (512), (513), (514), (515), (516), (518), (520), (522), (524),
% 37.74/6.14 | | | (526), (528), (530), (531), (533), (535), (540), (549), (551),
% 37.74/6.14 | | | (553), (566), (567), (571), (572), (581), (583), (584), (2065),
% 37.74/6.14 | | | (2066), (2067), (2068), (2069), (function-axioms) are
% 37.74/6.14 | | | inconsistent by sub-proof #5.
% 37.74/6.14 | | |
% 37.74/6.14 | | End of split
% 37.74/6.14 | |
% 37.74/6.14 | End of split
% 37.74/6.14 |
% 37.74/6.14 End of proof
% 37.74/6.14
% 37.74/6.14 Sub-proof #1 shows that the following formulas are inconsistent:
% 37.74/6.14 ----------------------------------------------------------------
% 37.74/6.14 (1) ~ (all_12_0 = e3)
% 37.74/6.14 (2) all_56_6 = all_12_0
% 37.74/6.14 (3) ~ (all_34_0 = e2)
% 37.74/6.14 (4) ~ (all_6_0 = e1)
% 37.74/6.14 (5) ~ (all_18_0 = all_12_0)
% 37.74/6.14 (6) all_58_4 = all_18_0
% 37.74/6.14 (7) all_58_0 = e2 | all_58_2 = e2 | all_58_6 = e2 | all_58_12 = e2
% 37.74/6.14 (8) all_58_6 = all_34_0
% 37.74/6.14 (9) ~ (all_10_0 = e1)
% 37.74/6.14 (10) all_58_12 = e1
% 37.74/6.14 (11) ~ (all_12_0 = e0)
% 37.74/6.14 (12) ~ (all_14_0 = all_12_0)
% 37.74/6.14 (13) all_58_0 = e0
% 37.74/6.14 (14) all_58_9 = all_10_0
% 37.74/6.14 (15) all_56_6 = e3 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.14 (16) all_58_2 = all_14_0
% 37.74/6.14 (17) ~ (e2 = e0)
% 37.74/6.14 (18) all_58_1 = all_6_0
% 37.74/6.14 (19) ~ (all_18_0 = e2)
% 37.74/6.14 (20) all_58_1 = e1 | all_58_4 = e1 | all_58_9 = e1
% 37.74/6.14
% 37.74/6.14 Begin of proof
% 37.74/6.14 |
% 37.74/6.14 | BETA: splitting (20) gives:
% 37.74/6.14 |
% 37.74/6.14 | Case 1:
% 37.74/6.14 | |
% 37.74/6.14 | | (21) all_58_1 = e1
% 37.74/6.14 | |
% 37.74/6.14 | | COMBINE_EQS: (18), (21) imply:
% 37.74/6.14 | | (22) all_6_0 = e1
% 37.74/6.14 | |
% 37.74/6.14 | | REDUCE: (4), (22) imply:
% 37.74/6.14 | | (23) $false
% 37.74/6.14 | |
% 37.74/6.14 | | CLOSE: (23) is inconsistent.
% 37.74/6.14 | |
% 37.74/6.14 | Case 2:
% 37.74/6.14 | |
% 37.74/6.14 | | (24) all_58_4 = e1 | all_58_9 = e1
% 37.74/6.14 | |
% 37.74/6.14 | | BETA: splitting (24) gives:
% 37.74/6.14 | |
% 37.74/6.14 | | Case 1:
% 37.74/6.14 | | |
% 37.74/6.14 | | | (25) all_58_4 = e1
% 37.74/6.14 | | |
% 37.74/6.14 | | | COMBINE_EQS: (6), (25) imply:
% 37.74/6.14 | | | (26) all_18_0 = e1
% 37.74/6.14 | | |
% 37.74/6.14 | | | REDUCE: (5), (26) imply:
% 37.74/6.14 | | | (27) ~ (all_12_0 = e1)
% 37.74/6.14 | | |
% 37.74/6.14 | | | SIMP: (27) implies:
% 37.74/6.14 | | | (28) ~ (all_12_0 = e1)
% 37.74/6.14 | | |
% 37.74/6.14 | | | REDUCE: (19), (26) imply:
% 37.74/6.14 | | | (29) ~ (e2 = e1)
% 37.74/6.14 | | |
% 37.74/6.14 | | | SIMP: (29) implies:
% 37.74/6.14 | | | (30) ~ (e2 = e1)
% 37.74/6.14 | | |
% 37.74/6.14 | | | BETA: splitting (7) gives:
% 37.74/6.14 | | |
% 37.74/6.14 | | | Case 1:
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | (31) all_58_0 = e2
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | REF_CLOSE: (13), (17), (31) are inconsistent by sub-proof #23.
% 37.74/6.14 | | | |
% 37.74/6.14 | | | Case 2:
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | (32) all_58_2 = e2 | all_58_6 = e2 | all_58_12 = e2
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | BETA: splitting (32) gives:
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | Case 1:
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | (33) all_58_2 = e2
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | COMBINE_EQS: (16), (33) imply:
% 37.74/6.14 | | | | | (34) all_14_0 = e2
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | REDUCE: (12), (34) imply:
% 37.74/6.14 | | | | | (35) ~ (all_12_0 = e2)
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | SIMP: (35) implies:
% 37.74/6.14 | | | | | (36) ~ (all_12_0 = e2)
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | BETA: splitting (15) gives:
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | Case 1:
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | (37) all_56_6 = e3
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | COMBINE_EQS: (2), (37) imply:
% 37.74/6.14 | | | | | | (38) all_12_0 = e3
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | REDUCE: (1), (38) imply:
% 37.74/6.14 | | | | | | (39) $false
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | CLOSE: (39) is inconsistent.
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | Case 2:
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | (40) all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | BETA: splitting (40) gives:
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | Case 1:
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | (41) all_56_6 = e2
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | REF_CLOSE: (2), (36), (41) are inconsistent by sub-proof #40.
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | Case 2:
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | (42) all_56_6 = e1 | all_56_6 = e0
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | REF_CLOSE: (2), (11), (28), (42) are inconsistent by sub-proof
% 37.74/6.14 | | | | | | | #11.
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | End of split
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | End of split
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | Case 2:
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | (43) all_58_6 = e2 | all_58_12 = e2
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | REF_CLOSE: (3), (8), (10), (30), (43) are inconsistent by sub-proof
% 37.74/6.14 | | | | | #2.
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | End of split
% 37.74/6.14 | | | |
% 37.74/6.14 | | | End of split
% 37.74/6.14 | | |
% 37.74/6.14 | | Case 2:
% 37.74/6.14 | | |
% 37.74/6.14 | | | (44) all_58_9 = e1
% 37.74/6.14 | | |
% 37.74/6.14 | | | COMBINE_EQS: (14), (44) imply:
% 37.74/6.14 | | | (45) all_10_0 = e1
% 37.74/6.14 | | |
% 37.74/6.14 | | | REDUCE: (9), (45) imply:
% 37.74/6.14 | | | (46) $false
% 37.74/6.14 | | |
% 37.74/6.14 | | | CLOSE: (46) is inconsistent.
% 37.74/6.14 | | |
% 37.74/6.14 | | End of split
% 37.74/6.14 | |
% 37.74/6.14 | End of split
% 37.74/6.14 |
% 37.74/6.14 End of proof
% 37.74/6.14
% 37.74/6.14 Sub-proof #2 shows that the following formulas are inconsistent:
% 37.74/6.14 ----------------------------------------------------------------
% 37.74/6.14 (1) ~ (all_34_0 = e2)
% 37.74/6.14 (2) ~ (e2 = e1)
% 37.74/6.14 (3) all_58_6 = all_34_0
% 37.74/6.14 (4) all_58_12 = e1
% 37.74/6.14 (5) all_58_6 = e2 | all_58_12 = e2
% 37.74/6.14
% 37.74/6.14 Begin of proof
% 37.74/6.14 |
% 37.74/6.14 | BETA: splitting (5) gives:
% 37.74/6.14 |
% 37.74/6.14 | Case 1:
% 37.74/6.14 | |
% 37.74/6.14 | | (6) all_58_6 = e2
% 37.74/6.14 | |
% 37.74/6.14 | | COMBINE_EQS: (3), (6) imply:
% 37.74/6.14 | | (7) all_34_0 = e2
% 37.74/6.14 | |
% 37.74/6.14 | | REDUCE: (1), (7) imply:
% 37.74/6.14 | | (8) $false
% 37.74/6.14 | |
% 37.74/6.14 | | CLOSE: (8) is inconsistent.
% 37.74/6.14 | |
% 37.74/6.14 | Case 2:
% 37.74/6.14 | |
% 37.74/6.14 | | (9) all_58_12 = e2
% 37.74/6.14 | |
% 37.74/6.14 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #18.
% 37.74/6.14 | |
% 37.74/6.14 | End of split
% 37.74/6.14 |
% 37.74/6.14 End of proof
% 37.74/6.14
% 37.74/6.14 Sub-proof #3 shows that the following formulas are inconsistent:
% 37.74/6.14 ----------------------------------------------------------------
% 37.74/6.14 (1) ~ (all_42_0 = all_22_0)
% 37.74/6.14 (2) ~ (all_22_0 = e3)
% 37.74/6.14 (3) all_40_1 = e3
% 37.74/6.14 (4) all_56_14 = e3 | all_56_14 = e2 | all_56_14 = e1 | all_56_14 = e0
% 37.74/6.14 (5) ~ (all_26_0 = e3)
% 37.74/6.14 (6) all_40_0 = all_26_0
% 37.74/6.14 (7) ~ (all_22_0 = e1)
% 37.74/6.14 (8) all_56_9 = all_26_0
% 37.74/6.14 (9) ~ (all_42_0 = e1)
% 37.74/6.14 (10) ~ (all_42_0 = e3)
% 37.74/6.14 (11) ~ (all_26_0 = e1)
% 37.74/6.14 (12) all_56_14 = all_22_0
% 37.74/6.14 (13) ~ (all_42_0 = all_26_0)
% 37.74/6.14 (14) all_56_13 = e3 | all_56_13 = e2 | all_56_13 = e1 | all_56_13 = e0
% 37.74/6.14 (15) all_56_13 = all_42_0
% 37.74/6.14 (16) ~ (all_22_0 = e2)
% 37.74/6.14 (17) ~ (all_40_0 = e0) | ~ (all_40_1 = e3)
% 37.74/6.14 (18) all_56_9 = e3 | all_56_9 = e2 | all_56_9 = e1 | all_56_9 = e0
% 37.74/6.14
% 37.74/6.14 Begin of proof
% 37.74/6.14 |
% 37.74/6.14 | BETA: splitting (4) gives:
% 37.74/6.14 |
% 37.74/6.14 | Case 1:
% 37.74/6.14 | |
% 37.74/6.14 | | (19) all_56_14 = e3
% 37.74/6.14 | |
% 37.74/6.14 | | COMBINE_EQS: (12), (19) imply:
% 37.74/6.14 | | (20) all_22_0 = e3
% 37.74/6.14 | |
% 37.74/6.14 | | SIMP: (20) implies:
% 37.74/6.14 | | (21) all_22_0 = e3
% 37.74/6.14 | |
% 37.74/6.14 | | REDUCE: (2), (21) imply:
% 37.74/6.14 | | (22) $false
% 37.74/6.14 | |
% 37.74/6.14 | | CLOSE: (22) is inconsistent.
% 37.74/6.14 | |
% 37.74/6.14 | Case 2:
% 37.74/6.14 | |
% 37.74/6.14 | | (23) all_56_14 = e2 | all_56_14 = e1 | all_56_14 = e0
% 37.74/6.14 | |
% 37.74/6.14 | | BETA: splitting (23) gives:
% 37.74/6.14 | |
% 37.74/6.14 | | Case 1:
% 37.74/6.14 | | |
% 37.74/6.14 | | | (24) all_56_14 = e2
% 37.74/6.14 | | |
% 37.74/6.14 | | | COMBINE_EQS: (12), (24) imply:
% 37.74/6.14 | | | (25) all_22_0 = e2
% 37.74/6.14 | | |
% 37.74/6.14 | | | SIMP: (25) implies:
% 37.74/6.14 | | | (26) all_22_0 = e2
% 37.74/6.14 | | |
% 37.74/6.14 | | | REDUCE: (16), (26) imply:
% 37.74/6.14 | | | (27) $false
% 37.74/6.14 | | |
% 37.74/6.14 | | | CLOSE: (27) is inconsistent.
% 37.74/6.14 | | |
% 37.74/6.14 | | Case 2:
% 37.74/6.14 | | |
% 37.74/6.14 | | | (28) all_56_14 = e1 | all_56_14 = e0
% 37.74/6.14 | | |
% 37.74/6.14 | | | BETA: splitting (17) gives:
% 37.74/6.14 | | |
% 37.74/6.14 | | | Case 1:
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | (29) ~ (all_40_1 = e3)
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | REDUCE: (3), (29) imply:
% 37.74/6.14 | | | | (30) $false
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | CLOSE: (30) is inconsistent.
% 37.74/6.14 | | | |
% 37.74/6.14 | | | Case 2:
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | (31) ~ (all_40_0 = e0)
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | REDUCE: (6), (31) imply:
% 37.74/6.14 | | | | (32) ~ (all_26_0 = e0)
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | BETA: splitting (28) gives:
% 37.74/6.14 | | | |
% 37.74/6.14 | | | | Case 1:
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | (33) all_56_14 = e1
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | COMBINE_EQS: (12), (33) imply:
% 37.74/6.14 | | | | | (34) all_22_0 = e1
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | SIMP: (34) implies:
% 37.74/6.14 | | | | | (35) all_22_0 = e1
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | REDUCE: (7), (35) imply:
% 37.74/6.14 | | | | | (36) $false
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | CLOSE: (36) is inconsistent.
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | Case 2:
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | (37) all_56_14 = e0
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | COMBINE_EQS: (12), (37) imply:
% 37.74/6.14 | | | | | (38) all_22_0 = e0
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | SIMP: (38) implies:
% 37.74/6.14 | | | | | (39) all_22_0 = e0
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | REDUCE: (1), (39) imply:
% 37.74/6.14 | | | | | (40) ~ (all_42_0 = e0)
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | BETA: splitting (14) gives:
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | | Case 1:
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | (41) all_56_13 = e3
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | COMBINE_EQS: (15), (41) imply:
% 37.74/6.14 | | | | | | (42) all_42_0 = e3
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | REDUCE: (10), (42) imply:
% 37.74/6.14 | | | | | | (43) $false
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | CLOSE: (43) is inconsistent.
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | Case 2:
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | (44) all_56_13 = e2 | all_56_13 = e1 | all_56_13 = e0
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | BETA: splitting (44) gives:
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | | Case 1:
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | (45) all_56_13 = e2
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | COMBINE_EQS: (15), (45) imply:
% 37.74/6.14 | | | | | | | (46) all_42_0 = e2
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | REDUCE: (13), (46) imply:
% 37.74/6.14 | | | | | | | (47) ~ (all_26_0 = e2)
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | SIMP: (47) implies:
% 37.74/6.14 | | | | | | | (48) ~ (all_26_0 = e2)
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | BETA: splitting (18) gives:
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | Case 1:
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | | (49) all_56_9 = e3
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | | COMBINE_EQS: (8), (49) imply:
% 37.74/6.14 | | | | | | | | (50) all_26_0 = e3
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | | SIMP: (50) implies:
% 37.74/6.14 | | | | | | | | (51) all_26_0 = e3
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | | REDUCE: (5), (51) imply:
% 37.74/6.14 | | | | | | | | (52) $false
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | | CLOSE: (52) is inconsistent.
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | Case 2:
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | | (53) all_56_9 = e2 | all_56_9 = e1 | all_56_9 = e0
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | | BETA: splitting (53) gives:
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | | Case 1:
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | | (54) all_56_9 = e2
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | | COMBINE_EQS: (8), (54) imply:
% 37.74/6.14 | | | | | | | | | (55) all_26_0 = e2
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | | SIMP: (55) implies:
% 37.74/6.14 | | | | | | | | | (56) all_26_0 = e2
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | | REDUCE: (48), (56) imply:
% 37.74/6.14 | | | | | | | | | (57) $false
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | | CLOSE: (57) is inconsistent.
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | Case 2:
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | | (58) all_56_9 = e1 | all_56_9 = e0
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | | BETA: splitting (58) gives:
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | | Case 1:
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | (59) all_56_9 = e1
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | COMBINE_EQS: (8), (59) imply:
% 37.74/6.14 | | | | | | | | | | (60) all_26_0 = e1
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | SIMP: (60) implies:
% 37.74/6.14 | | | | | | | | | | (61) all_26_0 = e1
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | REDUCE: (11), (61) imply:
% 37.74/6.14 | | | | | | | | | | (62) $false
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | CLOSE: (62) is inconsistent.
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | Case 2:
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | (63) all_56_9 = e0
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | COMBINE_EQS: (8), (63) imply:
% 37.74/6.14 | | | | | | | | | | (64) all_26_0 = e0
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | SIMP: (64) implies:
% 37.74/6.14 | | | | | | | | | | (65) all_26_0 = e0
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | REDUCE: (32), (65) imply:
% 37.74/6.14 | | | | | | | | | | (66) $false
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | | CLOSE: (66) is inconsistent.
% 37.74/6.14 | | | | | | | | | |
% 37.74/6.14 | | | | | | | | | End of split
% 37.74/6.14 | | | | | | | | |
% 37.74/6.14 | | | | | | | | End of split
% 37.74/6.14 | | | | | | | |
% 37.74/6.14 | | | | | | | End of split
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | Case 2:
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | (67) all_56_13 = e1 | all_56_13 = e0
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | | REF_CLOSE: (9), (15), (40), (67) are inconsistent by sub-proof #4.
% 37.74/6.14 | | | | | | |
% 37.74/6.14 | | | | | | End of split
% 37.74/6.14 | | | | | |
% 37.74/6.14 | | | | | End of split
% 37.74/6.14 | | | | |
% 37.74/6.14 | | | | End of split
% 37.74/6.14 | | | |
% 37.74/6.14 | | | End of split
% 37.74/6.14 | | |
% 37.74/6.14 | | End of split
% 37.74/6.14 | |
% 37.74/6.14 | End of split
% 37.74/6.14 |
% 37.74/6.14 End of proof
% 37.74/6.14
% 37.74/6.14 Sub-proof #4 shows that the following formulas are inconsistent:
% 37.74/6.14 ----------------------------------------------------------------
% 37.74/6.14 (1) all_56_13 = e1 | all_56_13 = e0
% 37.74/6.14 (2) all_56_13 = all_42_0
% 37.74/6.14 (3) ~ (all_42_0 = e1)
% 37.74/6.14 (4) ~ (all_42_0 = e0)
% 37.74/6.14
% 37.74/6.14 Begin of proof
% 37.74/6.14 |
% 37.74/6.14 | BETA: splitting (1) gives:
% 37.74/6.14 |
% 37.74/6.14 | Case 1:
% 37.74/6.14 | |
% 37.74/6.14 | | (5) all_56_13 = e1
% 37.74/6.14 | |
% 37.74/6.14 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #6.
% 37.74/6.14 | |
% 37.74/6.14 | Case 2:
% 37.74/6.14 | |
% 37.74/6.14 | | (6) all_56_13 = e0
% 37.74/6.14 | |
% 37.74/6.14 | | COMBINE_EQS: (2), (6) imply:
% 37.74/6.14 | | (7) all_42_0 = e0
% 37.74/6.14 | |
% 37.74/6.14 | | SIMP: (7) implies:
% 37.74/6.14 | | (8) all_42_0 = e0
% 37.74/6.14 | |
% 37.74/6.14 | | REDUCE: (4), (8) imply:
% 37.74/6.14 | | (9) $false
% 37.74/6.14 | |
% 37.74/6.14 | | CLOSE: (9) is inconsistent.
% 37.74/6.14 | |
% 37.74/6.14 | End of split
% 37.74/6.14 |
% 37.74/6.14 End of proof
% 37.74/6.14
% 37.74/6.14 Sub-proof #5 shows that the following formulas are inconsistent:
% 37.74/6.14 ----------------------------------------------------------------
% 37.74/6.14 (1) ~ (e1 = e0)
% 37.74/6.14 (2) all_58_10 = all_28_0
% 37.74/6.14 (3) ~ (all_42_0 = all_6_0)
% 37.74/6.14 (4) ~ (all_10_0 = all_6_0)
% 37.74/6.14 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 37.74/6.14 (6) all_56_4 = e3 | all_56_4 = e2 | all_56_4 = e1 | all_56_4 = e0
% 37.74/6.14 (7) ~ (all_42_0 = all_4_0)
% 37.74/6.14 (8) all_56_6 = all_12_0
% 37.74/6.14 (9) all_44_0 = all_42_0
% 37.74/6.14 (10) all_58_0 = e2 | all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2
% 37.74/6.14 (11) op(e1, e0) = all_8_0
% 37.74/6.14 (12) all_58_5 = all_12_0
% 37.74/6.14 (13) all_56_3 = all_10_0
% 37.74/6.14 (14) all_58_2 = e0 | all_58_3 = e0 | all_58_5 = e0 | all_58_10 = e0
% 37.74/6.14 (15) ~ (all_14_0 = all_4_0)
% 37.74/6.14 (16) all_10_1 = all_8_1
% 37.74/6.14 (17) all_58_8 = all_12_1
% 37.74/6.14 (18) op(e2, e2) = e1
% 37.74/6.14 (19) all_44_1 = e1
% 37.74/6.14 (20) ~ (e3 = e0)
% 37.74/6.14 (21) all_14_1 = all_4_1
% 37.74/6.14 (22) all_56_12 = e3 | all_56_12 = e2 | all_56_12 = e1 | all_56_12 = e0
% 37.74/6.14 (23) ~ (all_28_0 = all_14_0)
% 37.74/6.14 (24) ~ (e3 = e1)
% 37.74/6.14 (25) ~ (all_34_0 = all_14_0)
% 37.74/6.14 (26) all_56_4 = all_14_0
% 37.74/6.14 (27) ~ (all_14_0 = e0) | ~ (all_14_1 = e1)
% 37.74/6.14 (28) ~ (all_8_0 = all_8_1)
% 37.74/6.14 (29) all_58_12 = e3 | all_58_13 = e3 | all_58_14 = e3 | all_58_15 = e3
% 37.74/6.14 (30) op(e2, e1) = all_12_0
% 37.74/6.14 (31) ~ (e2 = e1)
% 37.74/6.14 (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 37.74/6.14 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 37.74/6.14 (33) all_58_9 = e2 | all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 37.74/6.14 (34) ~ (all_48_0 = e2) | ~ (all_48_1 = e1)
% 37.74/6.14 (35) ~ (all_18_0 = all_12_0)
% 37.74/6.14 (36) all_58_4 = all_18_0
% 37.74/6.14 (37) ~ (all_12_0 = all_12_1)
% 37.74/6.14 (38) op(e3, e2) = all_6_0
% 37.74/6.14 (39) all_56_12 = all_4_0
% 37.74/6.14 (40) ~ (all_28_0 = all_10_0)
% 37.74/6.15 (41) all_58_1 = e0 | all_58_3 = e0 | all_58_7 = e0 | all_58_13 = e0
% 37.74/6.15 (42) all_52_3 = all_8_1
% 37.74/6.15 (43) ~ (all_34_0 = all_4_1)
% 37.74/6.15 (44) all_58_11 = all_8_0
% 37.74/6.15 (45) op(e2, unit) = e2
% 37.74/6.15 (46) ~ (e3 = e2)
% 37.74/6.15 (47) ~ (all_10_0 = e2) | ~ (all_10_1 = e1)
% 37.74/6.15 (48) all_48_0 = all_4_0
% 37.74/6.15 (49) op(e2, e0) = all_28_0
% 37.74/6.15 (50) ~ (all_44_0 = e3) | ~ (all_44_1 = e1)
% 37.74/6.15 (51) ~ (all_18_0 = all_4_1)
% 37.74/6.15 (52) all_58_6 = e2 | all_58_7 = e2 | all_58_8 = e2 | all_58_11 = e2
% 37.74/6.15 (53) all_58_3 = e1
% 37.74/6.15 (54) ~ (all_18_0 = all_6_0)
% 37.74/6.15 (55) all_58_1 = e3 | all_58_3 = e3 | all_58_7 = e3 | all_58_13 = e3
% 37.74/6.15 (56) all_36_0 = all_28_0
% 37.74/6.15 (57) op(unit, e1) = e1
% 37.74/6.15 (58) all_56_1 = all_6_0
% 37.74/6.15 (59) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 37.74/6.15 (60) all_58_6 = all_34_0
% 37.74/6.15 (61) op(e3, e3) = all_4_1
% 37.74/6.15 (62) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 37.74/6.15 (63) all_56_2 = all_18_0
% 37.74/6.15 (64) ~ (all_42_0 = all_8_1)
% 37.74/6.15 (65) ~ (all_10_0 = all_4_1)
% 37.74/6.15 (66) ~ (all_14_0 = all_12_0)
% 37.74/6.15 (67) all_52_1 = e1
% 37.74/6.15 (68) all_58_7 = all_26_0
% 37.74/6.15 (69) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.15 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.15 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.15 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.15 (70) op(e3, e0) = all_10_0
% 37.74/6.15 (71) all_58_9 = all_10_0
% 37.74/6.15 (72) op(e1, unit) = e1
% 37.74/6.15 (73) all_56_13 = e3 | all_56_13 = e2 | all_56_13 = e1 | all_56_13 = e0
% 37.74/6.15 (74) all_58_13 = all_42_0
% 37.74/6.15 (75) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 37.74/6.15 (76) all_36_1 = all_8_1
% 37.74/6.15 (77) all_56_6 = e3 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.15 (78) all_52_0 = all_4_1
% 37.74/6.15 (79) ~ (all_36_0 = e3) | ~ (all_36_1 = e1)
% 37.74/6.15 (80) all_58_12 = all_4_0
% 37.74/6.15 (81) all_48_1 = all_4_1
% 37.74/6.15 (82) all_58_9 = e3 | all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3
% 37.74/6.15 (83) all_56_13 = all_42_0
% 37.74/6.15 (84) all_58_2 = all_14_0
% 37.74/6.15 (85) ~ (all_14_0 = all_4_1)
% 37.74/6.15 (86) ~ (all_18_0 = all_10_0)
% 37.74/6.15 (87) op(unit, e0) = e0
% 37.74/6.15 (88) all_58_1 = all_6_0
% 37.74/6.15 (89) all_58_0 = all_4_1
% 37.74/6.15 (90) ~ (all_28_0 = all_8_0)
% 37.74/6.15 (91) ~ (all_6_0 = all_4_1)
% 37.74/6.15 (92) ~ (all_4_0 = all_4_1)
% 37.74/6.15 (93) op(e3, unit) = e3
% 37.74/6.15 (94) all_58_15 = all_8_1
% 37.74/6.15 (95) all_52_2 = all_12_1
% 37.74/6.15 (96) all_58_0 = e1 | all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.74/6.15 (97) op(e3, e1) = all_18_0
% 37.74/6.15 (98) ~ (all_6_0 = e0)
% 37.74/6.15
% 37.74/6.15 Begin of proof
% 37.74/6.15 |
% 37.74/6.15 | BETA: splitting (69) gives:
% 37.74/6.15 |
% 37.74/6.15 | Case 1:
% 37.74/6.15 | |
% 37.74/6.15 | | (99) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.15 | | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2)
% 37.74/6.15 | |
% 37.74/6.15 | | BETA: splitting (99) gives:
% 37.74/6.15 | |
% 37.74/6.15 | | Case 1:
% 37.74/6.15 | | |
% 37.74/6.15 | | | (100) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.15 | | |
% 37.74/6.15 | | | ALPHA: (100) implies:
% 37.74/6.15 | | | (101) all_52_1 = e3
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (67), (101) imply:
% 37.74/6.15 | | | (102) e3 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | SIMP: (102) implies:
% 37.74/6.15 | | | (103) e3 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (24), (103) imply:
% 37.74/6.15 | | | (104) $false
% 37.74/6.15 | | |
% 37.74/6.15 | | | CLOSE: (104) is inconsistent.
% 37.74/6.15 | | |
% 37.74/6.15 | | Case 2:
% 37.74/6.15 | | |
% 37.74/6.15 | | | (105) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.15 | | |
% 37.74/6.15 | | | ALPHA: (105) implies:
% 37.74/6.15 | | | (106) all_52_1 = e2
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (67), (106) imply:
% 37.74/6.15 | | | (107) e2 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | SIMP: (107) implies:
% 37.74/6.15 | | | (108) e2 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (31), (108) imply:
% 37.74/6.15 | | | (109) $false
% 37.74/6.15 | | |
% 37.74/6.15 | | | CLOSE: (109) is inconsistent.
% 37.74/6.15 | | |
% 37.74/6.15 | | End of split
% 37.74/6.15 | |
% 37.74/6.15 | Case 2:
% 37.74/6.15 | |
% 37.74/6.15 | | (110) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.15 | | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.15 | |
% 37.74/6.15 | | BETA: splitting (110) gives:
% 37.74/6.15 | |
% 37.74/6.15 | | Case 1:
% 37.74/6.15 | | |
% 37.74/6.15 | | | (111) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | ALPHA: (111) implies:
% 37.74/6.15 | | | (112) all_52_3 = e1
% 37.74/6.15 | | | (113) all_52_2 = e1
% 37.74/6.15 | | | (114) all_52_0 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (78), (114) imply:
% 37.74/6.15 | | | (115) all_4_1 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (95), (113) imply:
% 37.74/6.15 | | | (116) all_12_1 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (42), (112) imply:
% 37.74/6.15 | | | (117) all_8_1 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | SIMP: (117) implies:
% 37.74/6.15 | | | (118) all_8_1 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (16), (118) imply:
% 37.74/6.15 | | | (119) all_10_1 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (21), (115) imply:
% 37.74/6.15 | | | (120) all_14_1 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (76), (118) imply:
% 37.74/6.15 | | | (121) all_36_1 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (81), (115) imply:
% 37.74/6.15 | | | (122) all_48_1 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (94), (118) imply:
% 37.74/6.15 | | | (123) all_58_15 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (17), (116) imply:
% 37.74/6.15 | | | (124) all_58_8 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | COMBINE_EQS: (89), (115) imply:
% 37.74/6.15 | | | (125) all_58_0 = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (64), (118) imply:
% 37.74/6.15 | | | (126) ~ (all_42_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (43), (115) imply:
% 37.74/6.15 | | | (127) ~ (all_34_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (51), (115) imply:
% 37.74/6.15 | | | (128) ~ (all_18_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (85), (115) imply:
% 37.74/6.15 | | | (129) ~ (all_14_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (37), (116) imply:
% 37.74/6.15 | | | (130) ~ (all_12_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (65), (115) imply:
% 37.74/6.15 | | | (131) ~ (all_10_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (28), (118) imply:
% 37.74/6.15 | | | (132) ~ (all_8_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (91), (115) imply:
% 37.74/6.15 | | | (133) ~ (all_6_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (92), (115) imply:
% 37.74/6.15 | | | (134) ~ (all_4_0 = e1)
% 37.74/6.15 | | |
% 37.74/6.15 | | | REDUCE: (61), (115) imply:
% 37.74/6.15 | | | (135) op(e3, e3) = e1
% 37.74/6.15 | | |
% 37.74/6.15 | | | BETA: splitting (27) gives:
% 37.74/6.15 | | |
% 37.74/6.15 | | | Case 1:
% 37.74/6.15 | | | |
% 37.74/6.15 | | | | (136) ~ (all_14_1 = e1)
% 37.74/6.15 | | | |
% 37.74/6.15 | | | | REDUCE: (120), (136) imply:
% 37.74/6.15 | | | | (137) $false
% 37.74/6.15 | | | |
% 37.74/6.15 | | | | CLOSE: (137) is inconsistent.
% 37.74/6.15 | | | |
% 37.74/6.15 | | | Case 2:
% 37.74/6.15 | | | |
% 37.74/6.15 | | | | (138) ~ (all_14_0 = e0)
% 37.74/6.15 | | | |
% 37.74/6.15 | | | | BETA: splitting (47) gives:
% 37.74/6.15 | | | |
% 37.74/6.15 | | | | Case 1:
% 37.74/6.15 | | | | |
% 37.74/6.15 | | | | | (139) ~ (all_10_0 = e2)
% 37.74/6.15 | | | | |
% 37.74/6.15 | | | | | BETA: splitting (50) gives:
% 37.74/6.15 | | | | |
% 37.74/6.15 | | | | | Case 1:
% 37.74/6.15 | | | | | |
% 37.74/6.15 | | | | | | (140) ~ (all_44_0 = e3)
% 37.74/6.15 | | | | | |
% 37.74/6.15 | | | | | | REDUCE: (9), (140) imply:
% 37.74/6.15 | | | | | | (141) ~ (all_42_0 = e3)
% 37.74/6.15 | | | | | |
% 37.74/6.15 | | | | | | BETA: splitting (34) gives:
% 37.74/6.15 | | | | | |
% 37.74/6.15 | | | | | | Case 1:
% 37.74/6.15 | | | | | | |
% 37.74/6.15 | | | | | | | (142) ~ (all_48_0 = e2)
% 37.74/6.15 | | | | | | |
% 37.74/6.15 | | | | | | | REDUCE: (48), (142) imply:
% 37.74/6.15 | | | | | | | (143) ~ (all_4_0 = e2)
% 37.74/6.15 | | | | | | |
% 37.74/6.15 | | | | | | | BETA: splitting (79) gives:
% 37.74/6.15 | | | | | | |
% 37.74/6.15 | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | |
% 37.74/6.15 | | | | | | | | (144) ~ (all_36_0 = e3)
% 37.74/6.15 | | | | | | | |
% 37.74/6.15 | | | | | | | | REDUCE: (56), (144) imply:
% 37.74/6.15 | | | | | | | | (145) ~ (all_28_0 = e3)
% 37.74/6.15 | | | | | | | |
% 37.74/6.15 | | | | | | | | BETA: splitting (62) gives:
% 37.74/6.15 | | | | | | | |
% 37.74/6.15 | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | | (146) unit = e3
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | | REDUCE: (93), (146) imply:
% 37.74/6.15 | | | | | | | | | (147) op(e3, e3) = e3
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | | GROUND_INST: instantiating (32) with e1, e3, e3, e3,
% 37.74/6.15 | | | | | | | | | simplifying with (135), (147) gives:
% 37.74/6.15 | | | | | | | | | (148) e3 = e1
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | | REDUCE: (24), (148) imply:
% 37.74/6.15 | | | | | | | | | (149) $false
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | | CLOSE: (149) is inconsistent.
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | | (150) unit = e2 | unit = e1 | unit = e0
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | | BETA: splitting (5) gives:
% 37.74/6.15 | | | | | | | | |
% 37.74/6.15 | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | (151) all_56_1 = e3
% 37.74/6.15 | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | COMBINE_EQS: (58), (151) imply:
% 37.74/6.15 | | | | | | | | | | (152) all_6_0 = e3
% 37.74/6.15 | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | SIMP: (152) implies:
% 37.74/6.15 | | | | | | | | | | (153) all_6_0 = e3
% 37.74/6.15 | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | COMBINE_EQS: (88), (153) imply:
% 37.74/6.15 | | | | | | | | | | (154) all_58_1 = e3
% 37.74/6.15 | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | REDUCE: (54), (153) imply:
% 37.74/6.15 | | | | | | | | | | (155) ~ (all_18_0 = e3)
% 37.74/6.15 | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | REDUCE: (4), (153) imply:
% 37.74/6.15 | | | | | | | | | | (156) ~ (all_10_0 = e3)
% 37.74/6.15 | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | BETA: splitting (59) gives:
% 37.74/6.15 | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | (157) all_56_3 = e3
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | COMBINE_EQS: (13), (157) imply:
% 37.74/6.15 | | | | | | | | | | | (158) all_10_0 = e3
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | SIMP: (158) implies:
% 37.74/6.15 | | | | | | | | | | | (159) all_10_0 = e3
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | REDUCE: (156), (159) imply:
% 37.74/6.15 | | | | | | | | | | | (160) $false
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | CLOSE: (160) is inconsistent.
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | (161) ~ (all_56_3 = e3)
% 37.74/6.15 | | | | | | | | | | | (162) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | BETA: splitting (162) gives:
% 37.74/6.15 | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | (163) all_56_3 = e2
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | COMBINE_EQS: (13), (163) imply:
% 37.74/6.15 | | | | | | | | | | | | (164) all_10_0 = e2
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | SIMP: (164) implies:
% 37.74/6.15 | | | | | | | | | | | | (165) all_10_0 = e2
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | REDUCE: (139), (165) imply:
% 37.74/6.15 | | | | | | | | | | | | (166) $false
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | (167) ~ (all_56_3 = e2)
% 37.74/6.15 | | | | | | | | | | | | (168) all_56_3 = e1 | all_56_3 = e0
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | BETA: splitting (10) gives:
% 37.74/6.15 | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | (169) all_58_0 = e2
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | COMBINE_EQS: (125), (169) imply:
% 37.74/6.15 | | | | | | | | | | | | | (170) e2 = e1
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | SIMP: (170) implies:
% 37.74/6.15 | | | | | | | | | | | | | (171) e2 = e1
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | REDUCE: (31), (171) imply:
% 37.74/6.15 | | | | | | | | | | | | | (172) $false
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | (173) all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | BETA: splitting (173) gives:
% 37.74/6.15 | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | (174) all_58_1 = e2
% 37.74/6.15 | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | COMBINE_EQS: (154), (174) imply:
% 37.74/6.15 | | | | | | | | | | | | | | (175) e3 = e2
% 37.74/6.15 | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | REDUCE: (46), (175) imply:
% 37.74/6.15 | | | | | | | | | | | | | | (176) $false
% 37.74/6.15 | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | CLOSE: (176) is inconsistent.
% 37.74/6.15 | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | (177) all_58_4 = e2 | all_58_9 = e2
% 37.74/6.15 | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 37.74/6.15 | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | (178) all_56_3 = e1
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | COMBINE_EQS: (13), (178) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (179) all_10_0 = e1
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | SIMP: (179) implies:
% 37.74/6.15 | | | | | | | | | | | | | | | (180) all_10_0 = e1
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | REDUCE: (131), (180) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (181) $false
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | (182) all_56_3 = e0
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | COMBINE_EQS: (13), (182) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (183) all_10_0 = e0
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | SIMP: (183) implies:
% 37.74/6.15 | | | | | | | | | | | | | | | (184) all_10_0 = e0
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | COMBINE_EQS: (71), (184) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (185) all_58_9 = e0
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | REDUCE: (40), (184) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (186) ~ (all_28_0 = e0)
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | REDUCE: (86), (184) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (187) ~ (all_18_0 = e0)
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | REDUCE: (156), (184) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (188) ~ (e3 = e0)
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | REDUCE: (139), (184) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (189) ~ (e2 = e0)
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | SIMP: (189) implies:
% 37.74/6.15 | | | | | | | | | | | | | | | (190) ~ (e2 = e0)
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | REDUCE: (131), (184) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (191) ~ (e1 = e0)
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | REDUCE: (70), (184) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | (192) op(e3, e0) = e0
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 37.74/6.15 | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | (193) all_58_9 = e3
% 37.74/6.15 | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | REF_CLOSE: (20), (185), (193) are inconsistent by sub-proof
% 37.74/6.15 | | | | | | | | | | | | | | | | #16.
% 37.74/6.15 | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | (194) all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3
% 37.74/6.15 | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | (195) all_58_4 = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (195) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | (196) all_18_0 = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | REDUCE: (155), (196) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | (197) ~ (e3 = e2)
% 37.74/6.15 | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | REDUCE: (97), (196) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | (198) op(e3, e1) = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | (199) all_58_10 = e3
% 37.74/6.15 | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (145), (199) are inconsistent by sub-proof
% 37.74/6.15 | | | | | | | | | | | | | | | | | | #15.
% 37.74/6.15 | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | (200) all_58_11 = e3 | all_58_15 = e3
% 37.74/6.15 | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | (201) all_58_11 = e3
% 37.74/6.15 | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (201) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | (202) all_8_0 = e3
% 37.74/6.15 | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | SIMP: (202) implies:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | (203) all_8_0 = e3
% 37.74/6.15 | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | REDUCE: (11), (203) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | (204) op(e1, e0) = e3
% 37.74/6.15 | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | (205) all_58_9 = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (185), (205) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | (206) e2 = e0
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (206) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | (207) $false
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent.
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | (208) all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | (209) all_58_10 = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (209) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | (210) all_28_0 = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | (211) all_28_0 = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (211) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | (212) op(e2, e0) = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | (213) unit = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (213) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | (214) op(e2, e0) = e0
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (213) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | (215) op(e2, e2) = e2
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e2, e0, e0, e2,
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (212), (214) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | (216) e2 = e0
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e1, e2, e2, e2,
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (215) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | (217) e2 = e1
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (217) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | (218) e1 = e0
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (218) imply:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | (219) $false
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | (220) unit = e1 | unit = e0
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | | (221) unit = e1
% 37.74/6.15 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (221) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (222) op(e1, e0) = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (221) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (223) op(e3, e1) = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e3, e0, e0, e1,
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (204), (222) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (224) e3 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e2, e3, e1, e3,
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (223) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (225) e3 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (224), (225) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (226) e2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (226) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (227) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (227) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (228) unit = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (229) ~ (unit = e1)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (228) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (230) op(e3, e0) = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (228) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (231) op(e1, e0) = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e3, e1, e0, e1,
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (204), (231) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (232) e3 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e0, e3, e0, e3,
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (192), (230) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (233) e3 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (232), (233) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (234) e1 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (234) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (235) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | (236) all_58_11 = e2 | all_58_15 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (31), (46), (123), (145), (194), (236)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #9.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | (237) all_58_15 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (237) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | (238) e3 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | REDUCE: (24), (238) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | (239) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | (240) all_58_9 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (185), (240) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | (241) e2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | SIMP: (241) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | (242) e2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | REDUCE: (190), (242) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | (243) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | CLOSE: (243) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | End of split
% 37.74/6.16 | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | (244) ~ (all_56_1 = e3)
% 37.74/6.16 | | | | | | | | | | (245) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 37.74/6.16 | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | REDUCE: (58), (244) imply:
% 37.74/6.16 | | | | | | | | | | (246) ~ (all_6_0 = e3)
% 37.74/6.16 | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | BETA: splitting (55) gives:
% 37.74/6.16 | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | (247) all_58_1 = e3
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | COMBINE_EQS: (88), (247) imply:
% 37.74/6.16 | | | | | | | | | | | (248) all_6_0 = e3
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | REDUCE: (246), (248) imply:
% 37.74/6.16 | | | | | | | | | | | (249) $false
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | CLOSE: (249) is inconsistent.
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | (250) all_58_3 = e3 | all_58_7 = e3 | all_58_13 = e3
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | BETA: splitting (250) gives:
% 37.74/6.16 | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | (251) all_58_3 = e3
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | COMBINE_EQS: (53), (251) imply:
% 37.74/6.16 | | | | | | | | | | | | (252) e3 = e1
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | SIMP: (252) implies:
% 37.74/6.16 | | | | | | | | | | | | (253) e3 = e1
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | REDUCE: (24), (253) imply:
% 37.74/6.16 | | | | | | | | | | | | (254) $false
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | CLOSE: (254) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | (255) all_58_7 = e3 | all_58_13 = e3
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | BETA: splitting (245) gives:
% 37.74/6.16 | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | (256) all_56_1 = e2
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | COMBINE_EQS: (58), (256) imply:
% 37.74/6.16 | | | | | | | | | | | | | (257) all_6_0 = e2
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | SIMP: (257) implies:
% 37.74/6.16 | | | | | | | | | | | | | (258) all_6_0 = e2
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | COMBINE_EQS: (88), (258) imply:
% 37.74/6.16 | | | | | | | | | | | | | (259) all_58_1 = e2
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | REDUCE: (3), (258) imply:
% 37.74/6.16 | | | | | | | | | | | | | (260) ~ (all_42_0 = e2)
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | REDUCE: (54), (258) imply:
% 37.74/6.16 | | | | | | | | | | | | | (261) ~ (all_18_0 = e2)
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | REDUCE: (98), (258) imply:
% 37.74/6.16 | | | | | | | | | | | | | (262) ~ (e2 = e0)
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | REDUCE: (38), (258) imply:
% 37.74/6.16 | | | | | | | | | | | | | (263) op(e3, e2) = e2
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | BETA: splitting (73) gives:
% 37.74/6.16 | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | (264) all_56_13 = e3
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | COMBINE_EQS: (83), (264) imply:
% 37.74/6.16 | | | | | | | | | | | | | | (265) all_42_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | SIMP: (265) implies:
% 37.74/6.16 | | | | | | | | | | | | | | (266) all_42_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | REDUCE: (141), (266) imply:
% 37.74/6.16 | | | | | | | | | | | | | | (267) $false
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | CLOSE: (267) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | (268) ~ (all_56_13 = e3)
% 37.74/6.16 | | | | | | | | | | | | | | (269) all_56_13 = e2 | all_56_13 = e1 | all_56_13 = e0
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 37.74/6.16 | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | (270) all_58_7 = e3
% 37.74/6.16 | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | COMBINE_EQS: (68), (270) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | (271) all_26_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 37.74/6.16 | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | (272) all_56_13 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | REF_CLOSE: (83), (260), (272) are inconsistent by sub-proof
% 37.74/6.16 | | | | | | | | | | | | | | | | #8.
% 37.74/6.16 | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | (273) all_56_13 = e1 | all_56_13 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | (274) all_58_1 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (274) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | (275) e2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | REDUCE: (262), (275) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | (276) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | (277) all_58_3 = e0 | all_58_7 = e0 | all_58_13 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | (278) all_58_3 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (53), (60), (80), (84), (96), (125), (127),
% 37.74/6.16 | | | | | | | | | | | | | | | | | | (129), (134), (278) are inconsistent by sub-proof
% 37.74/6.16 | | | | | | | | | | | | | | | | | | #7.
% 37.74/6.16 | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | (279) all_58_7 = e0 | all_58_13 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | (280) all_58_9 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (280) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | (281) all_10_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | REDUCE: (86), (281) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | (282) ~ (all_18_0 = e3)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | (283) all_56_2 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (283) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | (284) all_18_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | SIMP: (284) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | (285) all_18_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (282), (285) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | (286) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | CLOSE: (286) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | (287) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | (288) all_56_2 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (288) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | (289) all_18_0 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | SIMP: (289) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | (290) all_18_0 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (290) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | (291) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | CLOSE: (291) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | (292) ~ (all_56_2 = e2)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | (293) all_56_2 = e1 | all_56_2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | (294) all_58_7 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (294) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | (295) e3 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (295) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | (296) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (296) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | (297) all_58_13 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (297) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | (298) all_42_0 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | SIMP: (298) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | (299) all_42_0 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (299) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | (300) ~ (all_4_0 = e0)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | SIMP: (300) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | (301) ~ (all_4_0 = e0)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (302) all_56_12 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (302) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (303) all_4_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (303) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | (304) ~ (all_14_0 = e3)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | (305) all_56_4 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (304), (305) are inconsistent by sub-proof
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | (306) ~ (all_56_4 = e3)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | (307) all_56_4 = e2 | all_56_4 = e1 | all_56_4 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_56_4 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (308) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_14_0 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (309) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | (310) all_14_0 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (310) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_58_2 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (310) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | (312) ~ (all_34_0 = e2)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (310) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | (313) ~ (all_12_0 = e2)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (313) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | (314) ~ (all_12_0 = e2)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (310) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | (315) ~ (e3 = e2)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (316) all_58_6 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (60), (316) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (317) all_34_0 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (317) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (318) all_34_0 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (318) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (319) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (319) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (320) all_58_7 = e2 | all_58_8 = e2 | all_58_11 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_58_7 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (321) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) e3 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (322) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (323) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) all_58_8 = e2 | all_58_11 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) all_58_8 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (325) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) e2 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) e2 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (327) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_58_11 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (329) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) all_8_0 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (330) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) all_8_0 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (331) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) ~ (all_28_0 = e2)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (331) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) op(e1, e0) = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) all_56_2 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (334) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) all_18_0 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (335) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) all_18_0 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (336) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) all_56_2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (338) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) all_18_0 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (339) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) all_18_0 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (340) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) ~ (all_12_0 = e0)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (341) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) ~ (all_12_0 = e0)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (340) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) ~ (e2 = e0)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (340) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) ~ (e1 = e0)
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (340) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) op(e3, e1) = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) all_56_6 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8), (346) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) all_12_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (347) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) all_12_0 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (348) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) all_58_5 = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (348) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) op(e2, e1) = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) all_58_2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (351) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) e2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (352) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) e2 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (262), (353) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (354) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) all_58_3 = e0 | all_58_5 = e0 | all_58_10 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) all_58_3 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (53), (60), (80), (84), (96), (125), (127),
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (129), (134), (356) are inconsistent by sub-proof
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #7.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) all_58_5 = e0 | all_58_10 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) all_58_5 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (358) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) e3 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (359) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) e3 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (360) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (361) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) all_58_10 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (362) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) all_28_0 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (363) implies:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) all_28_0 = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (364) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) op(e2, e0) = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) unit = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (366) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) op(e2, e1) = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (366) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) op(e3, e2) = e3
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e3, e1, e1, e2,
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (350), (367) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) e3 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e2, e3, e2, e3,
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (263), (368) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) e3 = e2
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (370) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) e2 = e1
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (371) imply:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) $false
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) unit = e1 | unit = e0
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) unit = e1
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (374) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) op(e3, e1) = e3
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (374) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) op(e2, e1) = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e3, e2, e1, e2,
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (350), (376) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) e3 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e0, e3, e1, e3,
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (345), (375) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) e3 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (378) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) e2 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (262), (379) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) $false
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (380) is inconsistent.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) unit = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) ~ (unit = e1)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (381) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) op(e2, e0) = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (381) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) op(e1, e0) = e1
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e2, e1, e0, e1,
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (384) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) e2 = e1
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e0, e2, e0, e2,
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (365), (383) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) e2 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (386) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) e1 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (387) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) $false
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) all_56_6 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (314), (390) are inconsistent by sub-proof
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_56_6 = e1 | all_56_6 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (130), (342), (391) are inconsistent by
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_56_4 = e1 | all_56_4 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (129), (138), (392) are inconsistent by
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | (393) all_56_12 = e2 | all_56_12 = e1 | all_56_12 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (134), (143), (301), (393) are inconsistent
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #19.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | (394) all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3
% 37.74/6.17 | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | (395) all_56_13 = e1
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (126), (395) are inconsistent by sub-proof
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | #6.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | (396) all_56_13 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (396) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | (397) all_42_0 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | SIMP: (397) implies:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | (398) all_42_0 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (398) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | (399) ~ (all_4_0 = e0)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | SIMP: (399) implies:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | (400) ~ (all_4_0 = e0)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | (401) all_58_12 = e3
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (401) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | (402) all_4_0 = e3
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (402) implies:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | (403) all_4_0 = e3
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (403) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | (404) ~ (all_14_0 = e3)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | (405) all_56_4 = e3
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (404), (405) are inconsistent by sub-proof
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | #29.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | (406) ~ (all_56_4 = e3)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | (407) all_56_4 = e2 | all_56_4 = e1 | all_56_4 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (407) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | (408) all_56_4 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (408) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | (409) all_14_0 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (409) implies:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | (410) all_14_0 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (410) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | (411) ~ (all_28_0 = e2)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (404), (410) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | (412) ~ (e3 = e2)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | (413) all_58_9 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (139), (413) are inconsistent by sub-proof
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | (414) all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | (415) all_58_10 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (415) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | (416) all_28_0 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (416) implies:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_28_0 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (417) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | (418) $false
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (418) is inconsistent.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_58_11 = e2 | all_58_15 = e2
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (31), (46), (123), (145), (394), (419)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #9.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | (420) all_56_4 = e1 | all_56_4 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (129), (138), (420) are inconsistent by
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | (421) ~ (all_58_12 = e3)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (421) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | (422) ~ (all_4_0 = e3)
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | (423) all_56_12 = e3
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (423) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | (424) all_4_0 = e3
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (422), (424) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | (425) $false
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (425) is inconsistent.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | (426) all_56_12 = e2 | all_56_12 = e1 | all_56_12 = e0
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (134), (143), (400), (426) are inconsistent
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #19.
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | (427) all_58_13 = e3
% 37.74/6.17 | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | COMBINE_EQS: (74), (427) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | (428) all_42_0 = e3
% 37.74/6.17 | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | REDUCE: (141), (428) imply:
% 37.74/6.17 | | | | | | | | | | | | | | | (429) $false
% 37.74/6.17 | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | | CLOSE: (429) is inconsistent.
% 37.74/6.17 | | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | (430) all_56_1 = e1 | all_56_1 = e0
% 37.74/6.17 | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | | REF_CLOSE: (58), (98), (133), (430) are inconsistent by
% 37.74/6.17 | | | | | | | | | | | | | sub-proof #39.
% 37.74/6.17 | | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | | |
% 37.74/6.17 | | | | | | | | | End of split
% 37.74/6.17 | | | | | | | | |
% 37.74/6.17 | | | | | | | | End of split
% 37.74/6.17 | | | | | | | |
% 37.74/6.17 | | | | | | | Case 2:
% 37.74/6.17 | | | | | | | |
% 37.74/6.17 | | | | | | | | (431) ~ (all_36_1 = e1)
% 37.74/6.17 | | | | | | | |
% 37.74/6.17 | | | | | | | | REDUCE: (121), (431) imply:
% 37.74/6.17 | | | | | | | | (432) $false
% 37.74/6.17 | | | | | | | |
% 37.74/6.17 | | | | | | | | CLOSE: (432) is inconsistent.
% 37.74/6.17 | | | | | | | |
% 37.74/6.17 | | | | | | | End of split
% 37.74/6.17 | | | | | | |
% 37.74/6.17 | | | | | | Case 2:
% 37.74/6.17 | | | | | | |
% 37.74/6.17 | | | | | | | (433) ~ (all_48_1 = e1)
% 37.74/6.17 | | | | | | |
% 37.74/6.17 | | | | | | | REDUCE: (122), (433) imply:
% 37.74/6.17 | | | | | | | (434) $false
% 37.74/6.17 | | | | | | |
% 37.74/6.17 | | | | | | | CLOSE: (434) is inconsistent.
% 37.74/6.17 | | | | | | |
% 37.74/6.17 | | | | | | End of split
% 37.74/6.17 | | | | | |
% 37.74/6.17 | | | | | Case 2:
% 37.74/6.17 | | | | | |
% 37.74/6.17 | | | | | | (435) ~ (all_44_1 = e1)
% 37.74/6.17 | | | | | |
% 37.74/6.17 | | | | | | REDUCE: (19), (435) imply:
% 37.74/6.17 | | | | | | (436) $false
% 37.74/6.17 | | | | | |
% 37.74/6.17 | | | | | | CLOSE: (436) is inconsistent.
% 37.74/6.17 | | | | | |
% 37.74/6.17 | | | | | End of split
% 37.74/6.17 | | | | |
% 37.74/6.17 | | | | Case 2:
% 37.74/6.17 | | | | |
% 37.74/6.17 | | | | | (437) ~ (all_10_1 = e1)
% 37.74/6.17 | | | | |
% 37.74/6.17 | | | | | REDUCE: (119), (437) imply:
% 37.74/6.17 | | | | | (438) $false
% 37.74/6.17 | | | | |
% 37.74/6.17 | | | | | CLOSE: (438) is inconsistent.
% 37.74/6.17 | | | | |
% 37.74/6.17 | | | | End of split
% 37.74/6.17 | | | |
% 37.74/6.17 | | | End of split
% 37.74/6.17 | | |
% 37.74/6.17 | | Case 2:
% 37.74/6.17 | | |
% 37.74/6.17 | | | (439) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0
% 37.74/6.17 | | |
% 37.74/6.17 | | | ALPHA: (439) implies:
% 37.74/6.17 | | | (440) all_52_1 = e0
% 37.74/6.17 | | |
% 37.74/6.17 | | | COMBINE_EQS: (67), (440) imply:
% 37.74/6.17 | | | (441) e1 = e0
% 37.74/6.17 | | |
% 37.74/6.17 | | | REDUCE: (1), (441) imply:
% 37.74/6.17 | | | (442) $false
% 37.74/6.17 | | |
% 37.74/6.17 | | | CLOSE: (442) is inconsistent.
% 37.74/6.17 | | |
% 37.74/6.17 | | End of split
% 37.74/6.17 | |
% 37.74/6.17 | End of split
% 37.74/6.17 |
% 37.74/6.17 End of proof
% 37.74/6.17
% 37.74/6.17 Sub-proof #6 shows that the following formulas are inconsistent:
% 37.74/6.17 ----------------------------------------------------------------
% 37.74/6.17 (1) all_56_13 = all_42_0
% 37.74/6.17 (2) all_56_13 = e1
% 37.74/6.17 (3) ~ (all_42_0 = e1)
% 37.74/6.17
% 37.74/6.17 Begin of proof
% 37.74/6.17 |
% 37.74/6.17 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.17 | (4) all_42_0 = e1
% 37.74/6.17 |
% 37.74/6.17 | SIMP: (4) implies:
% 37.74/6.17 | (5) all_42_0 = e1
% 37.74/6.17 |
% 37.74/6.17 | REDUCE: (3), (5) imply:
% 37.74/6.17 | (6) $false
% 37.74/6.17 |
% 37.74/6.17 | CLOSE: (6) is inconsistent.
% 37.74/6.17 |
% 37.74/6.17 End of proof
% 37.74/6.17
% 37.74/6.17 Sub-proof #7 shows that the following formulas are inconsistent:
% 37.74/6.17 ----------------------------------------------------------------
% 37.74/6.17 (1) ~ (e1 = e0)
% 37.74/6.17 (2) all_58_0 = e1
% 37.74/6.17 (3) ~ (all_4_0 = e1)
% 37.74/6.17 (4) ~ (all_34_0 = e1)
% 37.74/6.17 (5) all_58_3 = e0
% 37.74/6.17 (6) all_58_3 = e1
% 37.74/6.17 (7) all_58_6 = all_34_0
% 37.74/6.17 (8) ~ (all_14_0 = e1)
% 37.74/6.17 (9) all_58_12 = all_4_0
% 37.74/6.17 (10) all_58_2 = all_14_0
% 37.74/6.17 (11) all_58_0 = e1 | all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.74/6.17
% 37.74/6.17 Begin of proof
% 37.74/6.17 |
% 37.74/6.17 | COMBINE_EQS: (5), (6) imply:
% 37.74/6.17 | (12) e1 = e0
% 37.74/6.17 |
% 37.74/6.17 | COMBINE_EQS: (2), (12) imply:
% 37.74/6.17 | (13) all_58_0 = e0
% 37.74/6.17 |
% 37.74/6.17 | REF_CLOSE: (1), (3), (4), (7), (8), (9), (10), (11), (13) are inconsistent by
% 37.74/6.17 | sub-proof #47.
% 37.74/6.17 |
% 37.74/6.17 End of proof
% 37.74/6.17
% 37.74/6.17 Sub-proof #8 shows that the following formulas are inconsistent:
% 37.74/6.17 ----------------------------------------------------------------
% 37.74/6.17 (1) all_56_13 = all_42_0
% 37.74/6.17 (2) all_56_13 = e2
% 37.74/6.17 (3) ~ (all_42_0 = e2)
% 37.74/6.17
% 37.74/6.17 Begin of proof
% 37.74/6.17 |
% 37.74/6.17 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.17 | (4) all_42_0 = e2
% 37.74/6.17 |
% 37.74/6.17 | SIMP: (4) implies:
% 37.74/6.17 | (5) all_42_0 = e2
% 37.74/6.17 |
% 37.74/6.17 | REDUCE: (3), (5) imply:
% 37.74/6.17 | (6) $false
% 37.74/6.17 |
% 37.74/6.17 | CLOSE: (6) is inconsistent.
% 37.74/6.17 |
% 37.74/6.17 End of proof
% 37.74/6.17
% 37.74/6.17 Sub-proof #9 shows that the following formulas are inconsistent:
% 37.74/6.17 ----------------------------------------------------------------
% 37.74/6.17 (1) all_58_10 = all_28_0
% 37.74/6.17 (2) all_58_15 = e1
% 37.74/6.17 (3) ~ (e3 = e1)
% 37.74/6.17 (4) all_58_10 = e3 | all_58_11 = e3 | all_58_15 = e3
% 37.74/6.17 (5) ~ (e2 = e1)
% 37.74/6.17 (6) ~ (e3 = e2)
% 37.74/6.17 (7) all_58_11 = e2 | all_58_15 = e2
% 37.74/6.17 (8) ~ (all_28_0 = e3)
% 37.74/6.17
% 37.74/6.17 Begin of proof
% 37.74/6.17 |
% 37.74/6.17 | BETA: splitting (7) gives:
% 37.74/6.17 |
% 37.74/6.17 | Case 1:
% 37.74/6.17 | |
% 37.74/6.17 | | (9) all_58_11 = e2
% 37.74/6.17 | |
% 37.74/6.17 | | BETA: splitting (4) gives:
% 37.74/6.17 | |
% 37.74/6.17 | | Case 1:
% 37.74/6.17 | | |
% 37.74/6.17 | | | (10) all_58_10 = e3
% 37.74/6.17 | | |
% 37.74/6.17 | | | REF_CLOSE: (1), (8), (10) are inconsistent by sub-proof #15.
% 37.74/6.17 | | |
% 37.74/6.17 | | Case 2:
% 37.74/6.17 | | |
% 37.74/6.17 | | | (11) all_58_11 = e3 | all_58_15 = e3
% 37.74/6.17 | | |
% 37.74/6.17 | | | BETA: splitting (11) gives:
% 37.74/6.17 | | |
% 37.74/6.17 | | | Case 1:
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | (12) all_58_11 = e3
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | COMBINE_EQS: (9), (12) imply:
% 37.74/6.17 | | | | (13) e3 = e2
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | REDUCE: (6), (13) imply:
% 37.74/6.17 | | | | (14) $false
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | CLOSE: (14) is inconsistent.
% 37.74/6.17 | | | |
% 37.74/6.17 | | | Case 2:
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | (15) all_58_15 = e3
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | COMBINE_EQS: (2), (15) imply:
% 37.74/6.17 | | | | (16) e3 = e1
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | SIMP: (16) implies:
% 37.74/6.17 | | | | (17) e3 = e1
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | REDUCE: (3), (17) imply:
% 37.74/6.17 | | | | (18) $false
% 37.74/6.17 | | | |
% 37.74/6.17 | | | | CLOSE: (18) is inconsistent.
% 37.74/6.17 | | | |
% 37.74/6.17 | | | End of split
% 37.74/6.17 | | |
% 37.74/6.17 | | End of split
% 37.74/6.17 | |
% 37.74/6.17 | Case 2:
% 37.74/6.17 | |
% 37.74/6.17 | | (19) all_58_15 = e2
% 37.74/6.17 | |
% 37.74/6.17 | | COMBINE_EQS: (2), (19) imply:
% 37.74/6.17 | | (20) e2 = e1
% 37.74/6.17 | |
% 37.74/6.17 | | REDUCE: (5), (20) imply:
% 37.74/6.17 | | (21) $false
% 37.74/6.17 | |
% 37.74/6.17 | | CLOSE: (21) is inconsistent.
% 37.74/6.17 | |
% 37.74/6.17 | End of split
% 37.74/6.17 |
% 37.74/6.17 End of proof
% 37.74/6.17
% 37.74/6.17 Sub-proof #10 shows that the following formulas are inconsistent:
% 37.74/6.17 ----------------------------------------------------------------
% 37.74/6.17 (1) ~ (e1 = e0)
% 37.74/6.17 (2) ~ (e3 = e1)
% 37.74/6.17 (3) ~ (all_6_1 = e1)
% 37.74/6.17 (4) ~ (e2 = e1)
% 37.74/6.17 (5) ~ (all_4_1 = e2)
% 37.74/6.17 (6) ~ (all_6_1 = e3)
% 37.74/6.17 (7) all_52_1 = all_6_1
% 37.74/6.17 (8) ~ (all_12_1 = e0)
% 37.74/6.17 (9) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.17 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.17 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.17 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.17 (10) all_52_0 = all_4_1
% 37.74/6.17 (11) all_52_2 = all_12_1
% 37.74/6.17
% 37.74/6.17 Begin of proof
% 37.74/6.17 |
% 37.74/6.17 | BETA: splitting (9) gives:
% 37.74/6.17 |
% 37.74/6.17 | Case 1:
% 37.74/6.17 | |
% 37.74/6.17 | | (12) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.17 | | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2)
% 37.74/6.17 | |
% 37.74/6.17 | | BETA: splitting (12) gives:
% 37.74/6.17 | |
% 37.74/6.17 | | Case 1:
% 37.74/6.17 | | |
% 37.74/6.17 | | | (13) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.17 | | |
% 37.74/6.17 | | | REF_CLOSE: (6), (7), (13) are inconsistent by sub-proof #45.
% 37.74/6.17 | | |
% 37.74/6.17 | | Case 2:
% 37.74/6.17 | | |
% 37.74/6.17 | | | (14) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.17 | | |
% 37.74/6.17 | | | REF_CLOSE: (5), (10), (14) are inconsistent by sub-proof #13.
% 37.74/6.17 | | |
% 37.74/6.17 | | End of split
% 37.74/6.17 | |
% 37.74/6.17 | Case 2:
% 37.74/6.17 | |
% 37.74/6.17 | | (15) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.17 | | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.17 | |
% 37.74/6.17 | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (11), (15) are inconsistent by
% 37.74/6.17 | | sub-proof #26.
% 37.74/6.17 | |
% 37.74/6.17 | End of split
% 37.74/6.17 |
% 37.74/6.17 End of proof
% 37.74/6.17
% 37.74/6.17 Sub-proof #11 shows that the following formulas are inconsistent:
% 37.74/6.17 ----------------------------------------------------------------
% 37.74/6.17 (1) all_56_6 = e1 | all_56_6 = e0
% 37.74/6.17 (2) all_56_6 = all_12_0
% 37.74/6.17 (3) ~ (all_12_0 = e1)
% 37.74/6.17 (4) ~ (all_12_0 = e0)
% 37.74/6.17
% 37.74/6.17 Begin of proof
% 37.74/6.17 |
% 37.74/6.17 | BETA: splitting (1) gives:
% 37.74/6.17 |
% 37.74/6.17 | Case 1:
% 37.74/6.17 | |
% 37.74/6.17 | | (5) all_56_6 = e1
% 37.74/6.17 | |
% 37.74/6.17 | | COMBINE_EQS: (2), (5) imply:
% 37.74/6.17 | | (6) all_12_0 = e1
% 37.74/6.17 | |
% 37.74/6.17 | | REDUCE: (3), (6) imply:
% 37.74/6.17 | | (7) $false
% 37.74/6.17 | |
% 37.74/6.17 | | CLOSE: (7) is inconsistent.
% 37.74/6.17 | |
% 37.74/6.17 | Case 2:
% 37.74/6.17 | |
% 37.74/6.17 | | (8) all_56_6 = e0
% 37.74/6.17 | |
% 37.74/6.17 | | COMBINE_EQS: (2), (8) imply:
% 37.74/6.17 | | (9) all_12_0 = e0
% 37.74/6.17 | |
% 37.74/6.17 | | REDUCE: (4), (9) imply:
% 37.74/6.17 | | (10) $false
% 37.74/6.17 | |
% 37.74/6.17 | | CLOSE: (10) is inconsistent.
% 37.74/6.17 | |
% 37.74/6.17 | End of split
% 37.74/6.17 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #12 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) ~ (e1 = e0)
% 37.74/6.18 (2) ~ (all_4_1 = e0)
% 37.74/6.18 (3) ~ (e3 = e1)
% 37.74/6.18 (4) ~ (all_6_1 = e1)
% 37.74/6.18 (5) ~ (e2 = e1)
% 37.74/6.18 (6) all_52_1 = all_6_1
% 37.74/6.18 (7) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.18 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.18 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.18 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.18 (8) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.18 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.18 (9) all_52_0 = all_4_1
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | BETA: splitting (8) gives:
% 37.74/6.18 |
% 37.74/6.18 | Case 1:
% 37.74/6.18 | |
% 37.74/6.18 | | (10) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.18 | |
% 37.74/6.18 | | ALPHA: (10) implies:
% 37.74/6.18 | | (11) all_52_0 = e1
% 37.74/6.18 | |
% 37.74/6.18 | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (11) are inconsistent by sub-proof
% 37.74/6.18 | | #58.
% 37.74/6.18 | |
% 37.74/6.18 | Case 2:
% 37.74/6.18 | |
% 37.74/6.18 | | (12) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0
% 37.74/6.18 | |
% 37.74/6.18 | | ALPHA: (12) implies:
% 37.74/6.18 | | (13) all_52_0 = e0
% 37.74/6.18 | |
% 37.74/6.18 | | COMBINE_EQS: (9), (13) imply:
% 37.74/6.18 | | (14) all_4_1 = e0
% 37.74/6.18 | |
% 37.74/6.18 | | REDUCE: (2), (14) imply:
% 37.74/6.18 | | (15) $false
% 37.74/6.18 | |
% 37.74/6.18 | | CLOSE: (15) is inconsistent.
% 37.74/6.18 | |
% 37.74/6.18 | End of split
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #13 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.18 (2) all_52_0 = all_4_1
% 37.74/6.18 (3) ~ (all_4_1 = e2)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | ALPHA: (1) implies:
% 37.74/6.18 | (4) all_52_0 = e2
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (2), (4) imply:
% 37.74/6.18 | (5) all_4_1 = e2
% 37.74/6.18 |
% 37.74/6.18 | REDUCE: (3), (5) imply:
% 37.74/6.18 | (6) $false
% 37.74/6.18 |
% 37.74/6.18 | CLOSE: (6) is inconsistent.
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #14 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) ~ (all_6_0 = e1)
% 37.74/6.18 (2) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 37.74/6.18 (3) ~ (all_6_0 = e2)
% 37.74/6.18 (4) all_56_1 = all_6_0
% 37.74/6.18 (5) ~ (all_6_0 = e0)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | BETA: splitting (2) gives:
% 37.74/6.18 |
% 37.74/6.18 | Case 1:
% 37.74/6.18 | |
% 37.74/6.18 | | (6) all_56_1 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #41.
% 37.74/6.18 | |
% 37.74/6.18 | Case 2:
% 37.74/6.18 | |
% 37.74/6.18 | | (7) all_56_1 = e1 | all_56_1 = e0
% 37.74/6.18 | |
% 37.74/6.18 | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #39.
% 37.74/6.18 | |
% 37.74/6.18 | End of split
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #15 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_58_10 = all_28_0
% 37.74/6.18 (2) all_58_10 = e3
% 37.74/6.18 (3) ~ (all_28_0 = e3)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.18 | (4) all_28_0 = e3
% 37.74/6.18 |
% 37.74/6.18 | SIMP: (4) implies:
% 37.74/6.18 | (5) all_28_0 = e3
% 37.74/6.18 |
% 37.74/6.18 | REDUCE: (3), (5) imply:
% 37.74/6.18 | (6) $false
% 37.74/6.18 |
% 37.74/6.18 | CLOSE: (6) is inconsistent.
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #16 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_58_9 = e3
% 37.74/6.18 (2) all_58_9 = e0
% 37.74/6.18 (3) ~ (e3 = e0)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.18 | (4) e3 = e0
% 37.74/6.18 |
% 37.74/6.18 | SIMP: (4) implies:
% 37.74/6.18 | (5) e3 = e0
% 37.74/6.18 |
% 37.74/6.18 | REDUCE: (3), (5) imply:
% 37.74/6.18 | (6) $false
% 37.74/6.18 |
% 37.74/6.18 | CLOSE: (6) is inconsistent.
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #17 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_58_9 = e3
% 37.74/6.18 (2) all_58_9 = e1
% 37.74/6.18 (3) ~ (e3 = e1)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.18 | (4) e3 = e1
% 37.74/6.18 |
% 37.74/6.18 | SIMP: (4) implies:
% 37.74/6.18 | (5) e3 = e1
% 37.74/6.18 |
% 37.74/6.18 | REDUCE: (3), (5) imply:
% 37.74/6.18 | (6) $false
% 37.74/6.18 |
% 37.74/6.18 | CLOSE: (6) is inconsistent.
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #18 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_58_12 = e2
% 37.74/6.18 (2) all_58_12 = e1
% 37.74/6.18 (3) ~ (e2 = e1)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.18 | (4) e2 = e1
% 37.74/6.18 |
% 37.74/6.18 | SIMP: (4) implies:
% 37.74/6.18 | (5) e2 = e1
% 37.74/6.18 |
% 37.74/6.18 | REDUCE: (3), (5) imply:
% 37.74/6.18 | (6) $false
% 37.74/6.18 |
% 37.74/6.18 | CLOSE: (6) is inconsistent.
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #19 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_56_12 = e2 | all_56_12 = e1 | all_56_12 = e0
% 37.74/6.18 (2) ~ (all_4_0 = e2)
% 37.74/6.18 (3) ~ (all_4_0 = e1)
% 37.74/6.18 (4) ~ (all_4_0 = e0)
% 37.74/6.18 (5) all_56_12 = all_4_0
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | BETA: splitting (1) gives:
% 37.74/6.18 |
% 37.74/6.18 | Case 1:
% 37.74/6.18 | |
% 37.74/6.18 | | (6) all_56_12 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | COMBINE_EQS: (5), (6) imply:
% 37.74/6.18 | | (7) all_4_0 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | REDUCE: (2), (7) imply:
% 37.74/6.18 | | (8) $false
% 37.74/6.18 | |
% 37.74/6.18 | | CLOSE: (8) is inconsistent.
% 37.74/6.18 | |
% 37.74/6.18 | Case 2:
% 37.74/6.18 | |
% 37.74/6.18 | | (9) all_56_12 = e1 | all_56_12 = e0
% 37.74/6.18 | |
% 37.74/6.18 | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #30.
% 37.74/6.18 | |
% 37.74/6.18 | End of split
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #20 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2
% 37.74/6.18 (2) ~ (all_26_0 = all_6_0)
% 37.74/6.18 (3) all_58_6 = e3 | all_58_7 = e3 | all_58_8 = e3 | all_58_11 = e3
% 37.74/6.18 (4) ~ (all_4_0 = e1)
% 37.74/6.18 (5) ~ (e3 = e0)
% 37.74/6.18 (6) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.74/6.18 (7) all_58_8 = e0
% 37.74/6.18 (8) all_58_4 = all_18_0
% 37.74/6.18 (9) ~ (all_26_0 = e3)
% 37.74/6.18 (10) ~ (e3 = e2)
% 37.74/6.18 (11) all_42_0 = e1
% 37.74/6.18 (12) ~ (all_42_0 = e3)
% 37.74/6.18 (13) ~ (all_26_0 = e1)
% 37.74/6.18 (14) ~ (all_14_0 = e1)
% 37.74/6.18 (15) all_58_7 = all_26_0
% 37.74/6.18 (16) all_58_12 = all_4_0
% 37.74/6.18 (17) all_58_7 = e2 | all_58_8 = e2 | all_58_11 = e2
% 37.74/6.18 (18) all_58_2 = all_14_0
% 37.74/6.18 (19) all_58_9 = e1
% 37.74/6.18 (20) ~ (e2 = e0)
% 37.74/6.18 (21) all_58_1 = all_6_0
% 37.74/6.18 (22) ~ (all_18_0 = e2)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | REDUCE: (11), (12) imply:
% 37.74/6.18 | (23) ~ (e3 = e1)
% 37.74/6.18 |
% 37.74/6.18 | SIMP: (23) implies:
% 37.74/6.18 | (24) ~ (e3 = e1)
% 37.74/6.18 |
% 37.74/6.18 | BETA: splitting (17) gives:
% 37.74/6.18 |
% 37.74/6.18 | Case 1:
% 37.74/6.18 | |
% 37.74/6.18 | | (25) all_58_7 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | COMBINE_EQS: (15), (25) imply:
% 37.74/6.18 | | (26) all_26_0 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | REDUCE: (2), (26) imply:
% 37.74/6.18 | | (27) ~ (all_6_0 = e2)
% 37.74/6.18 | |
% 37.74/6.18 | | SIMP: (27) implies:
% 37.74/6.18 | | (28) ~ (all_6_0 = e2)
% 37.74/6.18 | |
% 37.74/6.18 | | REDUCE: (13), (26) imply:
% 37.74/6.18 | | (29) ~ (e2 = e1)
% 37.74/6.18 | |
% 37.74/6.18 | | REF_CLOSE: (1), (8), (19), (21), (22), (28), (29) are inconsistent by
% 37.74/6.18 | | sub-proof #21.
% 37.74/6.18 | |
% 37.74/6.18 | Case 2:
% 37.74/6.18 | |
% 37.74/6.18 | | (30) all_58_8 = e2 | all_58_11 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | BETA: splitting (30) gives:
% 37.74/6.18 | |
% 37.74/6.18 | | Case 1:
% 37.74/6.18 | | |
% 37.74/6.18 | | | (31) all_58_8 = e2
% 37.74/6.18 | | |
% 37.74/6.18 | | | COMBINE_EQS: (7), (31) imply:
% 37.74/6.18 | | | (32) e2 = e0
% 37.74/6.18 | | |
% 37.74/6.18 | | | REDUCE: (20), (32) imply:
% 37.74/6.18 | | | (33) $false
% 37.74/6.18 | | |
% 37.74/6.18 | | | CLOSE: (33) is inconsistent.
% 37.74/6.18 | | |
% 37.74/6.18 | | Case 2:
% 37.74/6.18 | | |
% 37.74/6.18 | | | (34) all_58_11 = e2
% 37.74/6.18 | | |
% 37.74/6.18 | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (14), (15), (16), (18),
% 37.74/6.18 | | | (24), (34) are inconsistent by sub-proof #49.
% 37.74/6.18 | | |
% 37.74/6.18 | | End of split
% 37.74/6.18 | |
% 37.74/6.18 | End of split
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #21 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_58_1 = e2 | all_58_4 = e2 | all_58_9 = e2
% 37.74/6.18 (2) ~ (e2 = e1)
% 37.74/6.18 (3) all_58_4 = all_18_0
% 37.74/6.18 (4) ~ (all_6_0 = e2)
% 37.74/6.18 (5) all_58_9 = e1
% 37.74/6.18 (6) all_58_1 = all_6_0
% 37.74/6.18 (7) ~ (all_18_0 = e2)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | BETA: splitting (1) gives:
% 37.74/6.18 |
% 37.74/6.18 | Case 1:
% 37.74/6.18 | |
% 37.74/6.18 | | (8) all_58_1 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | COMBINE_EQS: (6), (8) imply:
% 37.74/6.18 | | (9) all_6_0 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | REDUCE: (4), (9) imply:
% 37.74/6.18 | | (10) $false
% 37.74/6.18 | |
% 37.74/6.18 | | CLOSE: (10) is inconsistent.
% 37.74/6.18 | |
% 37.74/6.18 | Case 2:
% 37.74/6.18 | |
% 37.74/6.18 | | (11) all_58_4 = e2 | all_58_9 = e2
% 37.74/6.18 | |
% 37.74/6.18 | | BETA: splitting (11) gives:
% 37.74/6.18 | |
% 37.74/6.18 | | Case 1:
% 37.74/6.18 | | |
% 37.74/6.18 | | | (12) all_58_4 = e2
% 37.74/6.18 | | |
% 37.74/6.18 | | | COMBINE_EQS: (3), (12) imply:
% 37.74/6.18 | | | (13) all_18_0 = e2
% 37.74/6.18 | | |
% 37.74/6.18 | | | REDUCE: (7), (13) imply:
% 37.74/6.18 | | | (14) $false
% 37.74/6.18 | | |
% 37.74/6.18 | | | CLOSE: (14) is inconsistent.
% 37.74/6.18 | | |
% 37.74/6.18 | | Case 2:
% 37.74/6.18 | | |
% 37.74/6.18 | | | (15) all_58_9 = e2
% 37.74/6.18 | | |
% 37.74/6.18 | | | REF_CLOSE: (2), (5), (15) are inconsistent by sub-proof #22.
% 37.74/6.18 | | |
% 37.74/6.18 | | End of split
% 37.74/6.18 | |
% 37.74/6.18 | End of split
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #22 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_58_9 = e2
% 37.74/6.18 (2) all_58_9 = e1
% 37.74/6.18 (3) ~ (e2 = e1)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.18 | (4) e2 = e1
% 37.74/6.18 |
% 37.74/6.18 | SIMP: (4) implies:
% 37.74/6.18 | (5) e2 = e1
% 37.74/6.18 |
% 37.74/6.18 | REDUCE: (3), (5) imply:
% 37.74/6.18 | (6) $false
% 37.74/6.18 |
% 37.74/6.18 | CLOSE: (6) is inconsistent.
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #23 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) all_58_0 = e2
% 37.74/6.18 (2) all_58_0 = e0
% 37.74/6.18 (3) ~ (e2 = e0)
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.18 | (4) e2 = e0
% 37.74/6.18 |
% 37.74/6.18 | SIMP: (4) implies:
% 37.74/6.18 | (5) e2 = e0
% 37.74/6.18 |
% 37.74/6.18 | REDUCE: (3), (5) imply:
% 37.74/6.18 | (6) $false
% 37.74/6.18 |
% 37.74/6.18 | CLOSE: (6) is inconsistent.
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #24 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) ~ (all_12_0 = e3)
% 37.74/6.18 (2) all_42_1 = all_6_1
% 37.74/6.18 (3) all_56_6 = all_12_0
% 37.74/6.18 (4) ~ (all_42_0 = e1) | ~ (all_42_1 = e3)
% 37.74/6.18 (5) ~ (all_4_0 = e1)
% 37.74/6.18 (6) ~ (all_6_1 = e1)
% 37.74/6.18 (7) all_30_1 = all_12_1
% 37.74/6.18 (8) ~ (all_30_0 = e0) | ~ (all_30_1 = e3)
% 37.74/6.18 (9) ~ (all_22_0 = all_12_0)
% 37.74/6.18 (10) all_52_3 = all_8_1
% 37.74/6.18 (11) all_58_14 = all_22_0
% 37.74/6.18 (12) all_52_1 = all_6_1
% 37.74/6.18 (13) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.18 (14) all_30_0 = all_12_0
% 37.74/6.18 (15) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.18 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.18 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.18 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.18 (16) all_58_13 = all_42_0
% 37.74/6.18 (17) ~ (all_12_0 = e2)
% 37.74/6.18 (18) all_56_6 = e3 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.18 (19) all_58_12 = all_4_0
% 37.74/6.18 (20) all_58_12 = e1 | all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 37.74/6.18 (21) all_58_15 = all_8_1
% 37.74/6.18 (22) all_52_2 = all_12_1
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | ALPHA: (13) implies:
% 37.74/6.18 | (23) all_52_3 = e3
% 37.74/6.18 | (24) all_52_2 = e3
% 37.74/6.18 | (25) all_52_1 = e3
% 37.74/6.18 | (26) all_52_0 = e3
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (12), (25) imply:
% 37.74/6.18 | (27) all_6_1 = e3
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (22), (24) imply:
% 37.74/6.18 | (28) all_12_1 = e3
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (10), (23) imply:
% 37.74/6.18 | (29) all_8_1 = e3
% 37.74/6.18 |
% 37.74/6.18 | SIMP: (29) implies:
% 37.74/6.18 | (30) all_8_1 = e3
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (7), (28) imply:
% 37.74/6.18 | (31) all_30_1 = e3
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (2), (27) imply:
% 37.74/6.18 | (32) all_42_1 = e3
% 37.74/6.18 |
% 37.74/6.18 | COMBINE_EQS: (21), (30) imply:
% 37.74/6.18 | (33) all_58_15 = e3
% 37.74/6.18 |
% 37.74/6.18 | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (11), (12), (14), (15), (16),
% 37.74/6.18 | (17), (18), (19), (20), (26), (31), (32), (33) are inconsistent by
% 37.74/6.18 | sub-proof #27.
% 37.74/6.18 |
% 37.74/6.18 End of proof
% 37.74/6.18
% 37.74/6.18 Sub-proof #25 shows that the following formulas are inconsistent:
% 37.74/6.18 ----------------------------------------------------------------
% 37.74/6.18 (1) ~ (e1 = e0)
% 37.74/6.18 (2) all_42_1 = all_6_1
% 37.74/6.18 (3) all_56_6 = all_12_0
% 37.74/6.18 (4) ~ (all_42_0 = e1) | ~ (all_42_1 = e3)
% 37.74/6.18 (5) ~ (all_12_0 = all_6_1)
% 37.74/6.18 (6) ~ (all_4_0 = e1)
% 37.74/6.18 (7) ~ (e3 = e1)
% 37.74/6.18 (8) ~ (all_6_1 = e1)
% 37.74/6.18 (9) all_30_1 = all_12_1
% 37.74/6.18 (10) ~ (all_30_0 = e0) | ~ (all_30_1 = e3)
% 37.74/6.18 (11) ~ (e2 = e1)
% 37.74/6.18 (12) ~ (all_4_1 = e2)
% 37.74/6.18 (13) ~ (all_22_0 = all_12_0)
% 37.74/6.18 (14) all_52_3 = all_8_1
% 37.74/6.18 (15) all_58_14 = all_22_0
% 37.74/6.18 (16) all_52_1 = all_6_1
% 37.74/6.18 (17) ~ (all_12_1 = e0)
% 37.74/6.18 (18) all_30_0 = all_12_0
% 37.74/6.18 (19) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.18 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.18 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.18 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.18 (20) all_58_13 = all_42_0
% 37.74/6.18 (21) ~ (all_12_0 = e2)
% 37.74/6.18 (22) all_56_6 = e3 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.18 (23) all_52_0 = all_4_1
% 37.74/6.18 (24) all_58_12 = all_4_0
% 37.74/6.18 (25) all_58_12 = e1 | all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 37.74/6.18 (26) all_58_15 = all_8_1
% 37.74/6.18 (27) all_52_2 = all_12_1
% 37.74/6.18
% 37.74/6.18 Begin of proof
% 37.74/6.18 |
% 37.74/6.18 | BETA: splitting (19) gives:
% 37.74/6.18 |
% 37.74/6.18 | Case 1:
% 37.74/6.18 | |
% 37.74/6.19 | | (28) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.19 | | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2)
% 37.74/6.19 | |
% 37.74/6.19 | | BETA: splitting (28) gives:
% 37.74/6.19 | |
% 37.74/6.19 | | Case 1:
% 37.74/6.19 | | |
% 37.74/6.19 | | | (29) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | ALPHA: (29) implies:
% 37.74/6.19 | | | (30) all_52_3 = e3
% 37.74/6.19 | | | (31) all_52_2 = e3
% 37.74/6.19 | | | (32) all_52_1 = e3
% 37.74/6.19 | | | (33) all_52_0 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | COMBINE_EQS: (16), (32) imply:
% 37.74/6.19 | | | (34) all_6_1 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | COMBINE_EQS: (27), (31) imply:
% 37.74/6.19 | | | (35) all_12_1 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | COMBINE_EQS: (14), (30) imply:
% 37.74/6.19 | | | (36) all_8_1 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | SIMP: (36) implies:
% 37.74/6.19 | | | (37) all_8_1 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | COMBINE_EQS: (9), (35) imply:
% 37.74/6.19 | | | (38) all_30_1 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | COMBINE_EQS: (2), (34) imply:
% 37.74/6.19 | | | (39) all_42_1 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | COMBINE_EQS: (26), (37) imply:
% 37.74/6.19 | | | (40) all_58_15 = e3
% 37.74/6.19 | | |
% 37.74/6.19 | | | REDUCE: (5), (34) imply:
% 37.74/6.19 | | | (41) ~ (all_12_0 = e3)
% 37.74/6.19 | | |
% 37.74/6.19 | | | REF_CLOSE: (3), (4), (6), (8), (10), (13), (15), (16), (18), (19), (20),
% 37.74/6.19 | | | (21), (22), (24), (25), (33), (38), (39), (40), (41) are
% 37.74/6.19 | | | inconsistent by sub-proof #27.
% 37.74/6.19 | | |
% 37.74/6.19 | | Case 2:
% 37.74/6.19 | | |
% 37.74/6.19 | | | (42) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.19 | | |
% 37.74/6.19 | | | ALPHA: (42) implies:
% 37.74/6.19 | | | (43) all_52_0 = e2
% 37.74/6.19 | | |
% 37.74/6.19 | | | COMBINE_EQS: (23), (43) imply:
% 37.74/6.19 | | | (44) all_4_1 = e2
% 37.74/6.19 | | |
% 37.74/6.19 | | | SIMP: (44) implies:
% 37.74/6.19 | | | (45) all_4_1 = e2
% 37.74/6.19 | | |
% 37.74/6.19 | | | REDUCE: (12), (45) imply:
% 37.74/6.19 | | | (46) $false
% 37.74/6.19 | | |
% 37.74/6.19 | | | CLOSE: (46) is inconsistent.
% 37.74/6.19 | | |
% 37.74/6.19 | | End of split
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (47) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.19 | | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.19 | |
% 37.74/6.19 | | REF_CLOSE: (1), (7), (8), (11), (16), (17), (19), (27), (47) are
% 37.74/6.19 | | inconsistent by sub-proof #26.
% 37.74/6.19 | |
% 37.74/6.19 | End of split
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #26 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) ~ (e1 = e0)
% 37.74/6.19 (2) ~ (e3 = e1)
% 37.74/6.19 (3) ~ (all_6_1 = e1)
% 37.74/6.19 (4) ~ (e2 = e1)
% 37.74/6.19 (5) all_52_1 = all_6_1
% 37.74/6.19 (6) ~ (all_12_1 = e0)
% 37.74/6.19 (7) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.19 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.19 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.19 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.19 (8) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.19 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.19 (9) all_52_2 = all_12_1
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | BETA: splitting (8) gives:
% 37.74/6.19 |
% 37.74/6.19 | Case 1:
% 37.74/6.19 | |
% 37.74/6.19 | | (10) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.19 | |
% 37.74/6.19 | | ALPHA: (10) implies:
% 37.74/6.19 | | (11) all_52_0 = e1
% 37.74/6.19 | |
% 37.74/6.19 | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (11) are inconsistent by sub-proof
% 37.74/6.19 | | #58.
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (12) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0
% 37.74/6.19 | |
% 37.74/6.19 | | ALPHA: (12) implies:
% 37.74/6.19 | | (13) all_52_2 = e0
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (9), (13) imply:
% 37.74/6.19 | | (14) all_12_1 = e0
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (6), (14) imply:
% 37.74/6.19 | | (15) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (15) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | End of split
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #27 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) ~ (all_12_0 = e3)
% 37.74/6.19 (2) all_56_6 = all_12_0
% 37.74/6.19 (3) ~ (all_42_0 = e1) | ~ (all_42_1 = e3)
% 37.74/6.19 (4) ~ (all_4_0 = e1)
% 37.74/6.19 (5) ~ (all_6_1 = e1)
% 37.74/6.19 (6) ~ (all_30_0 = e0) | ~ (all_30_1 = e3)
% 37.74/6.19 (7) all_52_0 = e3
% 37.74/6.19 (8) ~ (all_22_0 = all_12_0)
% 37.74/6.19 (9) all_42_1 = e3
% 37.74/6.19 (10) all_58_14 = all_22_0
% 37.74/6.19 (11) all_52_1 = all_6_1
% 37.74/6.19 (12) all_58_15 = e3
% 37.74/6.19 (13) all_30_0 = all_12_0
% 37.74/6.19 (14) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.19 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.19 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.19 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.19 (15) all_30_1 = e3
% 37.74/6.19 (16) all_58_13 = all_42_0
% 37.74/6.19 (17) ~ (all_12_0 = e2)
% 37.74/6.19 (18) all_56_6 = e3 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.19 (19) all_58_12 = all_4_0
% 37.74/6.19 (20) all_58_12 = e1 | all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | BETA: splitting (6) gives:
% 37.74/6.19 |
% 37.74/6.19 | Case 1:
% 37.74/6.19 | |
% 37.74/6.19 | | (21) ~ (all_30_1 = e3)
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (15), (21) imply:
% 37.74/6.19 | | (22) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (22) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (23) ~ (all_30_0 = e0)
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (13), (23) imply:
% 37.74/6.19 | | (24) ~ (all_12_0 = e0)
% 37.74/6.19 | |
% 37.74/6.19 | | BETA: splitting (3) gives:
% 37.74/6.19 | |
% 37.74/6.19 | | Case 1:
% 37.74/6.19 | | |
% 37.74/6.19 | | | (25) ~ (all_42_0 = e1)
% 37.74/6.19 | | |
% 37.74/6.19 | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (11), (12), (14), (16),
% 37.74/6.19 | | | (17), (18), (19), (20), (24), (25) are inconsistent by
% 37.74/6.19 | | | sub-proof #46.
% 37.74/6.19 | | |
% 37.74/6.19 | | Case 2:
% 37.74/6.19 | | |
% 37.74/6.19 | | | (26) ~ (all_42_1 = e3)
% 37.74/6.19 | | |
% 37.74/6.19 | | | REDUCE: (9), (26) imply:
% 37.74/6.19 | | | (27) $false
% 37.74/6.19 | | |
% 37.74/6.19 | | | CLOSE: (27) is inconsistent.
% 37.74/6.19 | | |
% 37.74/6.19 | | End of split
% 37.74/6.19 | |
% 37.74/6.19 | End of split
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #28 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_56_4 = e1 | all_56_4 = e0
% 37.74/6.19 (2) all_56_4 = all_14_0
% 37.74/6.19 (3) ~ (all_14_0 = e1)
% 37.74/6.19 (4) ~ (all_14_0 = e0)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | BETA: splitting (1) gives:
% 37.74/6.19 |
% 37.74/6.19 | Case 1:
% 37.74/6.19 | |
% 37.74/6.19 | | (5) all_56_4 = e1
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (2), (5) imply:
% 37.74/6.19 | | (6) all_14_0 = e1
% 37.74/6.19 | |
% 37.74/6.19 | | SIMP: (6) implies:
% 37.74/6.19 | | (7) all_14_0 = e1
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (3), (7) imply:
% 37.74/6.19 | | (8) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (8) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (9) all_56_4 = e0
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (2), (9) imply:
% 37.74/6.19 | | (10) all_14_0 = e0
% 37.74/6.19 | |
% 37.74/6.19 | | SIMP: (10) implies:
% 37.74/6.19 | | (11) all_14_0 = e0
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (4), (11) imply:
% 37.74/6.19 | | (12) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (12) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | End of split
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #29 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_56_4 = all_14_0
% 37.74/6.19 (2) all_56_4 = e3
% 37.74/6.19 (3) ~ (all_14_0 = e3)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.19 | (4) all_14_0 = e3
% 37.74/6.19 |
% 37.74/6.19 | SIMP: (4) implies:
% 37.74/6.19 | (5) all_14_0 = e3
% 37.74/6.19 |
% 37.74/6.19 | REDUCE: (3), (5) imply:
% 37.74/6.19 | (6) $false
% 37.74/6.19 |
% 37.74/6.19 | CLOSE: (6) is inconsistent.
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #30 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_56_12 = e1 | all_56_12 = e0
% 37.74/6.19 (2) all_56_12 = all_4_0
% 37.74/6.19 (3) ~ (all_4_0 = e1)
% 37.74/6.19 (4) ~ (all_4_0 = e0)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | BETA: splitting (1) gives:
% 37.74/6.19 |
% 37.74/6.19 | Case 1:
% 37.74/6.19 | |
% 37.74/6.19 | | (5) all_56_12 = e1
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (2), (5) imply:
% 37.74/6.19 | | (6) all_4_0 = e1
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (3), (6) imply:
% 37.74/6.19 | | (7) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (7) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (8) all_56_12 = e0
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (2), (8) imply:
% 37.74/6.19 | | (9) all_4_0 = e0
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (4), (9) imply:
% 37.74/6.19 | | (10) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (10) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | End of split
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #31 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_58_11 = all_8_0
% 37.74/6.19 (2) all_58_11 = e2 | all_58_15 = e2
% 37.74/6.19 (3) ~ (all_8_0 = e2)
% 37.74/6.19 (4) all_58_15 = all_8_1
% 37.74/6.19 (5) ~ (all_8_1 = e2)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | BETA: splitting (2) gives:
% 37.74/6.19 |
% 37.74/6.19 | Case 1:
% 37.74/6.19 | |
% 37.74/6.19 | | (6) all_58_11 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (1), (6) imply:
% 37.74/6.19 | | (7) all_8_0 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | SIMP: (7) implies:
% 37.74/6.19 | | (8) all_8_0 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (3), (8) imply:
% 37.74/6.19 | | (9) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (9) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (10) all_58_15 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (4), (10) imply:
% 37.74/6.19 | | (11) all_8_1 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (5), (11) imply:
% 37.74/6.19 | | (12) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (12) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | End of split
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #32 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_58_9 = all_10_0
% 37.74/6.19 (2) all_58_9 = e2
% 37.74/6.19 (3) ~ (all_10_0 = e2)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.19 | (4) all_10_0 = e2
% 37.74/6.19 |
% 37.74/6.19 | SIMP: (4) implies:
% 37.74/6.19 | (5) all_10_0 = e2
% 37.74/6.19 |
% 37.74/6.19 | REDUCE: (3), (5) imply:
% 37.74/6.19 | (6) $false
% 37.74/6.19 |
% 37.74/6.19 | CLOSE: (6) is inconsistent.
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #33 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.19 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2)
% 37.74/6.19 (2) all_52_3 = all_8_1
% 37.74/6.19 (3) ~ (all_8_1 = e3)
% 37.74/6.19 (4) ~ (all_8_1 = e2)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | BETA: splitting (1) gives:
% 37.74/6.19 |
% 37.74/6.19 | Case 1:
% 37.74/6.19 | |
% 37.74/6.19 | | (5) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.19 | |
% 37.74/6.19 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #34.
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (6) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | ALPHA: (6) implies:
% 37.74/6.19 | | (7) all_52_3 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (2), (7) imply:
% 37.74/6.19 | | (8) all_8_1 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | SIMP: (8) implies:
% 37.74/6.19 | | (9) all_8_1 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (4), (9) imply:
% 37.74/6.19 | | (10) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (10) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | End of split
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #34 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.19 (2) all_52_3 = all_8_1
% 37.74/6.19 (3) ~ (all_8_1 = e3)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | ALPHA: (1) implies:
% 37.74/6.19 | (4) all_52_3 = e3
% 37.74/6.19 |
% 37.74/6.19 | COMBINE_EQS: (2), (4) imply:
% 37.74/6.19 | (5) all_8_1 = e3
% 37.74/6.19 |
% 37.74/6.19 | SIMP: (5) implies:
% 37.74/6.19 | (6) all_8_1 = e3
% 37.74/6.19 |
% 37.74/6.19 | REDUCE: (3), (6) imply:
% 37.74/6.19 | (7) $false
% 37.74/6.19 |
% 37.74/6.19 | CLOSE: (7) is inconsistent.
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #35 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_58_5 = all_12_0
% 37.74/6.19 (2) all_58_4 = e2 | all_58_5 = e2 | all_58_8 = e2 | all_58_14 = e2
% 37.74/6.19 (3) all_58_8 = e0
% 37.74/6.19 (4) all_58_4 = all_18_0
% 37.74/6.19 (5) all_58_14 = all_22_0
% 37.74/6.19 (6) ~ (all_12_0 = e2)
% 37.74/6.19 (7) ~ (e2 = e0)
% 37.74/6.19 (8) ~ (all_22_0 = e2)
% 37.74/6.19 (9) ~ (all_18_0 = e2)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | BETA: splitting (2) gives:
% 37.74/6.19 |
% 37.74/6.19 | Case 1:
% 37.74/6.19 | |
% 37.74/6.19 | | (10) all_58_4 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (4), (10) imply:
% 37.74/6.19 | | (11) all_18_0 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | SIMP: (11) implies:
% 37.74/6.19 | | (12) all_18_0 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (9), (12) imply:
% 37.74/6.19 | | (13) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (13) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (14) all_58_5 = e2 | all_58_8 = e2 | all_58_14 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | BETA: splitting (14) gives:
% 37.74/6.19 | |
% 37.74/6.19 | | Case 1:
% 37.74/6.19 | | |
% 37.74/6.19 | | | (15) all_58_5 = e2
% 37.74/6.19 | | |
% 37.74/6.19 | | | COMBINE_EQS: (1), (15) imply:
% 37.74/6.19 | | | (16) all_12_0 = e2
% 37.74/6.19 | | |
% 37.74/6.19 | | | SIMP: (16) implies:
% 37.74/6.19 | | | (17) all_12_0 = e2
% 37.74/6.19 | | |
% 37.74/6.19 | | | REDUCE: (6), (17) imply:
% 37.74/6.19 | | | (18) $false
% 37.74/6.19 | | |
% 37.74/6.19 | | | CLOSE: (18) is inconsistent.
% 37.74/6.19 | | |
% 37.74/6.19 | | Case 2:
% 37.74/6.19 | | |
% 37.74/6.19 | | | (19) all_58_8 = e2 | all_58_14 = e2
% 37.74/6.19 | | |
% 37.74/6.19 | | | BETA: splitting (19) gives:
% 37.74/6.19 | | |
% 37.74/6.19 | | | Case 1:
% 37.74/6.19 | | | |
% 37.74/6.19 | | | | (20) all_58_8 = e2
% 37.74/6.19 | | | |
% 37.74/6.19 | | | | REF_CLOSE: (3), (7), (20) are inconsistent by sub-proof #37.
% 37.74/6.19 | | | |
% 37.74/6.19 | | | Case 2:
% 37.74/6.19 | | | |
% 37.74/6.19 | | | | (21) all_58_14 = e2
% 37.74/6.19 | | | |
% 37.74/6.19 | | | | REF_CLOSE: (5), (8), (21) are inconsistent by sub-proof #36.
% 37.74/6.19 | | | |
% 37.74/6.19 | | | End of split
% 37.74/6.19 | | |
% 37.74/6.19 | | End of split
% 37.74/6.19 | |
% 37.74/6.19 | End of split
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #36 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_58_14 = all_22_0
% 37.74/6.19 (2) all_58_14 = e2
% 37.74/6.19 (3) ~ (all_22_0 = e2)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.19 | (4) all_22_0 = e2
% 37.74/6.19 |
% 37.74/6.19 | SIMP: (4) implies:
% 37.74/6.19 | (5) all_22_0 = e2
% 37.74/6.19 |
% 37.74/6.19 | REDUCE: (3), (5) imply:
% 37.74/6.19 | (6) $false
% 37.74/6.19 |
% 37.74/6.19 | CLOSE: (6) is inconsistent.
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #37 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) all_58_8 = e2
% 37.74/6.19 (2) all_58_8 = e0
% 37.74/6.19 (3) ~ (e2 = e0)
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.19 | (4) e2 = e0
% 37.74/6.19 |
% 37.74/6.19 | SIMP: (4) implies:
% 37.74/6.19 | (5) e2 = e0
% 37.74/6.19 |
% 37.74/6.19 | REDUCE: (3), (5) imply:
% 37.74/6.19 | (6) $false
% 37.74/6.19 |
% 37.74/6.19 | CLOSE: (6) is inconsistent.
% 37.74/6.19 |
% 37.74/6.19 End of proof
% 37.74/6.19
% 37.74/6.19 Sub-proof #38 shows that the following formulas are inconsistent:
% 37.74/6.19 ----------------------------------------------------------------
% 37.74/6.19 (1) ~ (all_8_0 = e3)
% 37.74/6.19 (2) all_58_11 = all_8_0
% 37.74/6.19 (3) all_58_15 = e2
% 37.74/6.19 (4) ~ (e3 = e2)
% 37.74/6.19 (5) all_58_11 = e3 | all_58_15 = e3
% 37.74/6.19
% 37.74/6.19 Begin of proof
% 37.74/6.19 |
% 37.74/6.19 | BETA: splitting (5) gives:
% 37.74/6.19 |
% 37.74/6.19 | Case 1:
% 37.74/6.19 | |
% 37.74/6.19 | | (6) all_58_11 = e3
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (2), (6) imply:
% 37.74/6.19 | | (7) all_8_0 = e3
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (1), (7) imply:
% 37.74/6.19 | | (8) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (8) is inconsistent.
% 37.74/6.19 | |
% 37.74/6.19 | Case 2:
% 37.74/6.19 | |
% 37.74/6.19 | | (9) all_58_15 = e3
% 37.74/6.19 | |
% 37.74/6.19 | | COMBINE_EQS: (3), (9) imply:
% 37.74/6.19 | | (10) e3 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | SIMP: (10) implies:
% 37.74/6.19 | | (11) e3 = e2
% 37.74/6.19 | |
% 37.74/6.19 | | REDUCE: (4), (11) imply:
% 37.74/6.19 | | (12) $false
% 37.74/6.19 | |
% 37.74/6.19 | | CLOSE: (12) is inconsistent.
% 37.74/6.20 | |
% 37.74/6.20 | End of split
% 37.74/6.20 |
% 37.74/6.20 End of proof
% 37.74/6.20
% 37.74/6.20 Sub-proof #39 shows that the following formulas are inconsistent:
% 37.74/6.20 ----------------------------------------------------------------
% 37.74/6.20 (1) all_56_1 = e1 | all_56_1 = e0
% 37.74/6.20 (2) all_56_1 = all_6_0
% 37.74/6.20 (3) ~ (all_6_0 = e1)
% 37.74/6.20 (4) ~ (all_6_0 = e0)
% 37.74/6.20
% 37.74/6.20 Begin of proof
% 37.74/6.20 |
% 37.74/6.20 | BETA: splitting (1) gives:
% 37.74/6.20 |
% 37.74/6.20 | Case 1:
% 37.74/6.20 | |
% 37.74/6.20 | | (5) all_56_1 = e1
% 37.74/6.20 | |
% 37.74/6.20 | | COMBINE_EQS: (2), (5) imply:
% 37.74/6.20 | | (6) all_6_0 = e1
% 37.74/6.20 | |
% 37.74/6.20 | | SIMP: (6) implies:
% 37.74/6.20 | | (7) all_6_0 = e1
% 37.74/6.20 | |
% 37.74/6.20 | | REDUCE: (3), (7) imply:
% 37.74/6.20 | | (8) $false
% 37.74/6.20 | |
% 37.74/6.20 | | CLOSE: (8) is inconsistent.
% 37.74/6.20 | |
% 37.74/6.20 | Case 2:
% 37.74/6.20 | |
% 37.74/6.20 | | (9) all_56_1 = e0
% 37.74/6.20 | |
% 37.74/6.20 | | COMBINE_EQS: (2), (9) imply:
% 37.74/6.20 | | (10) all_6_0 = e0
% 37.74/6.20 | |
% 37.74/6.20 | | SIMP: (10) implies:
% 37.74/6.20 | | (11) all_6_0 = e0
% 37.74/6.20 | |
% 37.74/6.20 | | REDUCE: (4), (11) imply:
% 37.74/6.20 | | (12) $false
% 37.74/6.20 | |
% 37.74/6.20 | | CLOSE: (12) is inconsistent.
% 37.74/6.20 | |
% 37.74/6.20 | End of split
% 37.74/6.20 |
% 37.74/6.20 End of proof
% 37.74/6.20
% 37.74/6.20 Sub-proof #40 shows that the following formulas are inconsistent:
% 37.74/6.20 ----------------------------------------------------------------
% 37.74/6.20 (1) all_56_6 = all_12_0
% 37.74/6.20 (2) all_56_6 = e2
% 37.74/6.20 (3) ~ (all_12_0 = e2)
% 37.74/6.20
% 37.74/6.20 Begin of proof
% 37.74/6.20 |
% 37.74/6.20 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.20 | (4) all_12_0 = e2
% 37.74/6.20 |
% 37.74/6.20 | SIMP: (4) implies:
% 37.74/6.20 | (5) all_12_0 = e2
% 37.74/6.20 |
% 37.74/6.20 | REDUCE: (3), (5) imply:
% 37.74/6.20 | (6) $false
% 37.74/6.20 |
% 37.74/6.20 | CLOSE: (6) is inconsistent.
% 37.74/6.20 |
% 37.74/6.20 End of proof
% 37.74/6.20
% 37.74/6.20 Sub-proof #41 shows that the following formulas are inconsistent:
% 37.74/6.20 ----------------------------------------------------------------
% 37.74/6.20 (1) all_56_1 = all_6_0
% 37.74/6.20 (2) all_56_1 = e2
% 37.74/6.20 (3) ~ (all_6_0 = e2)
% 37.74/6.20
% 37.74/6.20 Begin of proof
% 37.74/6.20 |
% 37.74/6.20 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.20 | (4) all_6_0 = e2
% 37.74/6.20 |
% 37.74/6.20 | SIMP: (4) implies:
% 37.74/6.20 | (5) all_6_0 = e2
% 37.74/6.20 |
% 37.74/6.20 | REDUCE: (3), (5) imply:
% 37.74/6.20 | (6) $false
% 37.74/6.20 |
% 37.74/6.20 | CLOSE: (6) is inconsistent.
% 37.74/6.20 |
% 37.74/6.20 End of proof
% 37.74/6.20
% 37.74/6.20 Sub-proof #42 shows that the following formulas are inconsistent:
% 37.74/6.20 ----------------------------------------------------------------
% 37.74/6.20 (1) all_56_1 = all_6_0
% 37.74/6.20 (2) all_56_1 = e3
% 37.74/6.20 (3) ~ (all_6_0 = e3)
% 37.74/6.20
% 37.74/6.20 Begin of proof
% 37.74/6.20 |
% 37.74/6.20 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.20 | (4) all_6_0 = e3
% 37.74/6.20 |
% 37.74/6.20 | SIMP: (4) implies:
% 37.74/6.20 | (5) all_6_0 = e3
% 37.74/6.20 |
% 37.74/6.20 | REDUCE: (3), (5) imply:
% 37.74/6.20 | (6) $false
% 37.74/6.20 |
% 37.74/6.20 | CLOSE: (6) is inconsistent.
% 37.74/6.20 |
% 37.74/6.20 End of proof
% 37.74/6.20
% 37.74/6.20 Sub-proof #43 shows that the following formulas are inconsistent:
% 37.74/6.20 ----------------------------------------------------------------
% 37.74/6.20 (1) all_26_1 = all_6_1
% 37.74/6.20 (2) ~ (e1 = e0)
% 37.74/6.20 (3) all_58_10 = all_28_0
% 37.74/6.20 (4) all_42_1 = all_6_1
% 37.74/6.20 (5) all_56_6 = all_12_0
% 37.74/6.20 (6) ~ (all_42_0 = e1) | ~ (all_42_1 = e3)
% 37.74/6.20 (7) all_58_6 = e3 | all_58_7 = e3 | all_58_8 = e3 | all_58_11 = e3
% 37.74/6.20 (8) all_56_11 = all_8_0
% 37.74/6.20 (9) ~ (all_12_0 = all_6_1)
% 37.74/6.20 (10) all_58_8 = all_12_1
% 37.74/6.20 (11) ~ (all_4_0 = e1)
% 37.74/6.20 (12) ~ (e3 = e0)
% 37.74/6.20 (13) ~ (all_32_0 = e1) | ~ (all_32_1 = e0)
% 37.74/6.20 (14) ~ (e3 = e1)
% 37.74/6.20 (15) ~ (all_6_1 = e1)
% 37.74/6.20 (16) all_30_1 = all_12_1
% 37.74/6.20 (17) ~ (all_8_0 = all_8_1)
% 37.74/6.20 (18) ~ (all_30_0 = e0) | ~ (all_30_1 = e3)
% 37.74/6.20 (19) ~ (all_12_1 = e2)
% 37.74/6.20 (20) ~ (e2 = e1)
% 37.74/6.20 (21) ~ (all_34_0 = all_8_0)
% 37.74/6.20 (22) all_58_9 = e2 | all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 37.74/6.20 (23) ~ (all_26_0 = e3) | ~ (all_26_1 = e0)
% 37.74/6.20 (24) all_32_1 = all_4_1
% 37.74/6.20 (25) ~ (all_22_0 = all_12_0)
% 37.74/6.20 (26) ~ (all_8_0 = e3)
% 37.74/6.20 (27) ~ (all_26_0 = all_6_1)
% 37.74/6.20 (28) all_52_3 = all_8_1
% 37.74/6.20 (29) all_58_14 = all_22_0
% 37.74/6.20 (30) all_58_11 = all_8_0
% 37.74/6.20 (31) all_52_1 = all_6_1
% 37.74/6.20 (32) ~ (e3 = e2)
% 37.74/6.20 (33) ~ (all_10_0 = e2)
% 37.74/6.20 (34) all_58_6 = all_34_0
% 37.74/6.20 (35) all_30_0 = all_12_0
% 37.74/6.20 (36) all_32_0 = all_14_0
% 37.74/6.20 (37) all_58_7 = all_26_0
% 37.74/6.20 (38) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.20 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.20 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.20 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.20 (39) ~ (all_8_0 = e2)
% 37.74/6.20 (40) all_58_9 = all_10_0
% 37.74/6.20 (41) all_58_13 = all_42_0
% 37.74/6.20 (42) all_56_6 = e3 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.20 (43) all_52_0 = all_4_1
% 37.74/6.20 (44) all_58_12 = all_4_0
% 37.74/6.20 (45) all_58_2 = all_14_0
% 37.74/6.20 (46) ~ (all_4_1 = e1)
% 37.74/6.20 (47) all_56_11 = e3 | all_56_11 = e2 | all_56_11 = e1 | all_56_11 = e0
% 37.74/6.20 (48) all_58_0 = all_4_1
% 37.74/6.20 (49) all_58_12 = e1 | all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 37.74/6.20 (50) ~ (all_28_0 = all_12_0)
% 37.74/6.20 (51) all_58_15 = all_8_1
% 37.74/6.20 (52) all_52_2 = all_12_1
% 37.74/6.20 (53) all_58_0 = e1 | all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.74/6.20
% 37.74/6.20 Begin of proof
% 37.74/6.20 |
% 37.74/6.20 | BETA: splitting (23) gives:
% 37.74/6.20 |
% 37.74/6.20 | Case 1:
% 37.74/6.20 | |
% 37.74/6.20 | | (54) ~ (all_26_0 = e3)
% 37.74/6.20 | |
% 37.74/6.20 | | BETA: splitting (18) gives:
% 37.74/6.20 | |
% 37.74/6.20 | | Case 1:
% 37.74/6.20 | | |
% 37.74/6.20 | | | (55) ~ (all_30_1 = e3)
% 37.74/6.20 | | |
% 37.74/6.20 | | | REDUCE: (16), (55) imply:
% 37.74/6.20 | | | (56) ~ (all_12_1 = e3)
% 37.74/6.20 | | |
% 37.74/6.20 | | | BETA: splitting (38) gives:
% 37.74/6.20 | | |
% 37.74/6.20 | | | Case 1:
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | (57) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3)
% 37.74/6.20 | | | | | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 =
% 37.74/6.20 | | | | e2)
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | BETA: splitting (57) gives:
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | Case 1:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | (58) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | ALPHA: (58) implies:
% 37.74/6.20 | | | | | (59) all_52_2 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (52), (59) imply:
% 37.74/6.20 | | | | | (60) all_12_1 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REDUCE: (56), (60) imply:
% 37.74/6.20 | | | | | (61) $false
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | CLOSE: (61) is inconsistent.
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | Case 2:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | (62) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REF_CLOSE: (19), (52), (62) are inconsistent by sub-proof #54.
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | End of split
% 37.74/6.20 | | | |
% 37.74/6.20 | | | Case 2:
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | (63) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1)
% 37.74/6.20 | | | | | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 =
% 37.74/6.20 | | | | e0)
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | BETA: splitting (63) gives:
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | Case 1:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | (64) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | ALPHA: (64) implies:
% 37.74/6.20 | | | | | (65) all_52_0 = e1
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REF_CLOSE: (2), (14), (15), (20), (31), (38), (65) are inconsistent by
% 37.74/6.20 | | | | | sub-proof #58.
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | Case 2:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | (66) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | ALPHA: (66) implies:
% 37.74/6.20 | | | | | (67) all_52_3 = e0
% 37.74/6.20 | | | | | (68) all_52_2 = e0
% 37.74/6.20 | | | | | (69) all_52_0 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (43), (69) imply:
% 37.74/6.20 | | | | | (70) all_4_1 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (52), (68) imply:
% 37.74/6.20 | | | | | (71) all_12_1 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (28), (67) imply:
% 37.74/6.20 | | | | | (72) all_8_1 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | SIMP: (72) implies:
% 37.74/6.20 | | | | | (73) all_8_1 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (24), (70) imply:
% 37.74/6.20 | | | | | (74) all_32_1 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (10), (71) imply:
% 37.74/6.20 | | | | | (75) all_58_8 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (48), (70) imply:
% 37.74/6.20 | | | | | (76) all_58_0 = e0
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REDUCE: (56), (71) imply:
% 37.74/6.20 | | | | | (77) ~ (e3 = e0)
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REDUCE: (17), (73) imply:
% 37.74/6.20 | | | | | (78) ~ (all_8_0 = e0)
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REDUCE: (46), (70) imply:
% 37.74/6.20 | | | | | (79) ~ (e1 = e0)
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | BETA: splitting (13) gives:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | Case 1:
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | (80) ~ (all_32_0 = e1)
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | REDUCE: (36), (80) imply:
% 37.74/6.20 | | | | | | (81) ~ (all_14_0 = e1)
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | BETA: splitting (47) gives:
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | Case 1:
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | (82) all_56_11 = e3
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | COMBINE_EQS: (8), (82) imply:
% 37.74/6.20 | | | | | | | (83) all_8_0 = e3
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | REDUCE: (26), (83) imply:
% 37.74/6.20 | | | | | | | (84) $false
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | CLOSE: (84) is inconsistent.
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | Case 2:
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | (85) all_56_11 = e2 | all_56_11 = e1 | all_56_11 = e0
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | BETA: splitting (85) gives:
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | Case 1:
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | (86) all_56_11 = e2
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | COMBINE_EQS: (8), (86) imply:
% 37.74/6.20 | | | | | | | | (87) all_8_0 = e2
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | COMBINE_EQS: (30), (87) imply:
% 37.74/6.20 | | | | | | | | (88) all_58_11 = e2
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | BETA: splitting (53) gives:
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | Case 1:
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | (89) all_58_0 = e1
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | REF_CLOSE: (2), (76), (89) are inconsistent by sub-proof #53.
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | Case 2:
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | (90) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | REF_CLOSE: (7), (11), (12), (14), (32), (37), (44), (45),
% 37.74/6.20 | | | | | | | | | (54), (75), (81), (88), (90) are inconsistent by
% 37.74/6.20 | | | | | | | | | sub-proof #49.
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | End of split
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | Case 2:
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | (91) all_56_11 = e1 | all_56_11 = e0
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | BETA: splitting (91) gives:
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | Case 1:
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | (92) all_56_11 = e1
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | COMBINE_EQS: (8), (92) imply:
% 37.74/6.20 | | | | | | | | | (93) all_8_0 = e1
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | REDUCE: (21), (93) imply:
% 37.74/6.20 | | | | | | | | | (94) ~ (all_34_0 = e1)
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | REF_CLOSE: (2), (11), (34), (44), (45), (53), (76), (81), (94)
% 37.74/6.20 | | | | | | | | | are inconsistent by sub-proof #47.
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | Case 2:
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | (95) all_56_11 = e0
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | COMBINE_EQS: (8), (95) imply:
% 37.74/6.20 | | | | | | | | | (96) all_8_0 = e0
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | REDUCE: (78), (96) imply:
% 37.74/6.20 | | | | | | | | | (97) $false
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | CLOSE: (97) is inconsistent.
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | End of split
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | End of split
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | End of split
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | Case 2:
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | (98) ~ (all_32_1 = e0)
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | REDUCE: (74), (98) imply:
% 37.74/6.20 | | | | | | (99) $false
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | CLOSE: (99) is inconsistent.
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | End of split
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | End of split
% 37.74/6.20 | | | |
% 37.74/6.20 | | | End of split
% 37.74/6.20 | | |
% 37.74/6.20 | | Case 2:
% 37.74/6.20 | | |
% 37.74/6.20 | | | (100) all_30_1 = e3
% 37.74/6.20 | | | (101) ~ (all_30_0 = e0)
% 37.74/6.20 | | |
% 37.74/6.20 | | | COMBINE_EQS: (16), (100) imply:
% 37.74/6.20 | | | (102) all_12_1 = e3
% 37.74/6.20 | | |
% 37.74/6.20 | | | SIMP: (102) implies:
% 37.74/6.20 | | | (103) all_12_1 = e3
% 37.74/6.20 | | |
% 37.74/6.20 | | | COMBINE_EQS: (52), (103) imply:
% 37.74/6.20 | | | (104) all_52_2 = e3
% 37.74/6.20 | | |
% 37.74/6.20 | | | REDUCE: (35), (101) imply:
% 37.74/6.20 | | | (105) ~ (all_12_0 = e0)
% 37.74/6.20 | | |
% 37.74/6.20 | | | BETA: splitting (38) gives:
% 37.74/6.20 | | |
% 37.74/6.20 | | | Case 1:
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | (106) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3)
% 37.74/6.20 | | | | | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 =
% 37.74/6.20 | | | | e2)
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | BETA: splitting (106) gives:
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | Case 1:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | (107) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | ALPHA: (107) implies:
% 37.74/6.20 | | | | | (108) all_52_3 = e3
% 37.74/6.20 | | | | | (109) all_52_1 = e3
% 37.74/6.20 | | | | | (110) all_52_0 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (43), (110) imply:
% 37.74/6.20 | | | | | (111) all_4_1 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (31), (109) imply:
% 37.74/6.20 | | | | | (112) all_6_1 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (28), (108) imply:
% 37.74/6.20 | | | | | (113) all_8_1 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | SIMP: (113) implies:
% 37.74/6.20 | | | | | (114) all_8_1 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (4), (112) imply:
% 37.74/6.20 | | | | | (115) all_42_1 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (51), (114) imply:
% 37.74/6.20 | | | | | (116) all_58_15 = e3
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REDUCE: (9), (112) imply:
% 37.74/6.20 | | | | | (117) ~ (all_12_0 = e3)
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | BETA: splitting (6) gives:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | Case 1:
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | (118) ~ (all_42_0 = e1)
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | BETA: splitting (22) gives:
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | Case 1:
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | (119) all_58_9 = e2
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | COMBINE_EQS: (40), (119) imply:
% 37.74/6.20 | | | | | | | (120) all_10_0 = e2
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | REDUCE: (33), (120) imply:
% 37.74/6.20 | | | | | | | (121) $false
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | CLOSE: (121) is inconsistent.
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | Case 2:
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | (122) all_58_10 = e2 | all_58_11 = e2 | all_58_15 = e2
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | BETA: splitting (122) gives:
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | | Case 1:
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | (123) all_58_10 = e2
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | COMBINE_EQS: (3), (123) imply:
% 37.74/6.20 | | | | | | | | (124) all_28_0 = e2
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | REDUCE: (50), (124) imply:
% 37.74/6.20 | | | | | | | | (125) ~ (all_12_0 = e2)
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | SIMP: (125) implies:
% 37.74/6.20 | | | | | | | | (126) ~ (all_12_0 = e2)
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | REF_CLOSE: (5), (11), (15), (25), (29), (31), (38), (41), (42),
% 37.74/6.20 | | | | | | | | (44), (49), (105), (110), (116), (117), (118), (126)
% 37.74/6.20 | | | | | | | | are inconsistent by sub-proof #46.
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | Case 2:
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | (127) all_58_11 = e2 | all_58_15 = e2
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | BETA: splitting (127) gives:
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | | Case 1:
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | (128) all_58_11 = e2
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | COMBINE_EQS: (30), (128) imply:
% 37.74/6.20 | | | | | | | | | (129) all_8_0 = e2
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | REDUCE: (39), (129) imply:
% 37.74/6.20 | | | | | | | | | (130) $false
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | CLOSE: (130) is inconsistent.
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | Case 2:
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | (131) all_58_15 = e2
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | COMBINE_EQS: (116), (131) imply:
% 37.74/6.20 | | | | | | | | | (132) e3 = e2
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | REDUCE: (32), (132) imply:
% 37.74/6.20 | | | | | | | | | (133) $false
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | | CLOSE: (133) is inconsistent.
% 37.74/6.20 | | | | | | | | |
% 37.74/6.20 | | | | | | | | End of split
% 37.74/6.20 | | | | | | | |
% 37.74/6.20 | | | | | | | End of split
% 37.74/6.20 | | | | | | |
% 37.74/6.20 | | | | | | End of split
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | Case 2:
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | (134) ~ (all_42_1 = e3)
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | REDUCE: (115), (134) imply:
% 37.74/6.20 | | | | | | (135) $false
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | | CLOSE: (135) is inconsistent.
% 37.74/6.20 | | | | | |
% 37.74/6.20 | | | | | End of split
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | Case 2:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | (136) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | ALPHA: (136) implies:
% 37.74/6.20 | | | | | (137) all_52_2 = e2
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | COMBINE_EQS: (104), (137) imply:
% 37.74/6.20 | | | | | (138) e3 = e2
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REDUCE: (32), (138) imply:
% 37.74/6.20 | | | | | (139) $false
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | CLOSE: (139) is inconsistent.
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | End of split
% 37.74/6.20 | | | |
% 37.74/6.20 | | | Case 2:
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | (140) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1)
% 37.74/6.20 | | | | | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 =
% 37.74/6.20 | | | | e0)
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | BETA: splitting (140) gives:
% 37.74/6.20 | | | |
% 37.74/6.20 | | | | Case 1:
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | (141) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | ALPHA: (141) implies:
% 37.74/6.20 | | | | | (142) all_52_0 = e1
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | | REF_CLOSE: (2), (14), (15), (20), (31), (38), (142) are inconsistent
% 37.74/6.20 | | | | | by sub-proof #58.
% 37.74/6.20 | | | | |
% 37.74/6.20 | | | | Case 2:
% 37.74/6.20 | | | | |
% 37.74/6.21 | | | | | (143) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | ALPHA: (143) implies:
% 37.74/6.21 | | | | | (144) all_52_2 = e0
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | COMBINE_EQS: (104), (144) imply:
% 37.74/6.21 | | | | | (145) e3 = e0
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | REDUCE: (12), (145) imply:
% 37.74/6.21 | | | | | (146) $false
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | CLOSE: (146) is inconsistent.
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | End of split
% 37.74/6.21 | | | |
% 37.74/6.21 | | | End of split
% 37.74/6.21 | | |
% 37.74/6.21 | | End of split
% 37.74/6.21 | |
% 37.74/6.21 | Case 2:
% 37.74/6.21 | |
% 37.74/6.21 | | (147) all_26_0 = e3
% 37.74/6.21 | | (148) ~ (all_26_1 = e0)
% 37.74/6.21 | |
% 37.74/6.21 | | REDUCE: (27), (147) imply:
% 37.74/6.21 | | (149) ~ (all_6_1 = e3)
% 37.74/6.21 | |
% 37.74/6.21 | | SIMP: (149) implies:
% 37.74/6.21 | | (150) ~ (all_6_1 = e3)
% 37.74/6.21 | |
% 37.74/6.21 | | REDUCE: (1), (148) imply:
% 37.74/6.21 | | (151) ~ (all_6_1 = e0)
% 37.74/6.21 | |
% 37.74/6.21 | | BETA: splitting (38) gives:
% 37.74/6.21 | |
% 37.74/6.21 | | Case 1:
% 37.74/6.21 | | |
% 37.74/6.21 | | | (152) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.21 | | | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2)
% 37.74/6.21 | | |
% 37.74/6.21 | | | BETA: splitting (152) gives:
% 37.74/6.21 | | |
% 37.74/6.21 | | | Case 1:
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | (153) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | REF_CLOSE: (31), (150), (153) are inconsistent by sub-proof #45.
% 37.74/6.21 | | | |
% 37.74/6.21 | | | Case 2:
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | (154) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | REF_CLOSE: (19), (52), (154) are inconsistent by sub-proof #54.
% 37.74/6.21 | | | |
% 37.74/6.21 | | | End of split
% 37.74/6.21 | | |
% 37.74/6.21 | | Case 2:
% 37.74/6.21 | | |
% 37.74/6.21 | | | (155) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.21 | | | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.21 | | |
% 37.74/6.21 | | | REF_CLOSE: (2), (14), (15), (20), (31), (38), (151), (155) are
% 37.74/6.21 | | | inconsistent by sub-proof #44.
% 37.74/6.21 | | |
% 37.74/6.21 | | End of split
% 37.74/6.21 | |
% 37.74/6.21 | End of split
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #44 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) ~ (e1 = e0)
% 37.74/6.21 (2) ~ (all_6_1 = e0)
% 37.74/6.21 (3) ~ (e3 = e1)
% 37.74/6.21 (4) ~ (all_6_1 = e1)
% 37.74/6.21 (5) ~ (e2 = e1)
% 37.74/6.21 (6) all_52_1 = all_6_1
% 37.74/6.21 (7) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.21 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.21 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.21 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.21 (8) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.21 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | BETA: splitting (8) gives:
% 37.74/6.21 |
% 37.74/6.21 | Case 1:
% 37.74/6.21 | |
% 37.74/6.21 | | (9) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | ALPHA: (9) implies:
% 37.74/6.21 | | (10) all_52_0 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (10) are inconsistent by sub-proof
% 37.74/6.21 | | #58.
% 37.74/6.21 | |
% 37.74/6.21 | Case 2:
% 37.74/6.21 | |
% 37.74/6.21 | | (11) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0
% 37.74/6.21 | |
% 37.74/6.21 | | ALPHA: (11) implies:
% 37.74/6.21 | | (12) all_52_1 = e0
% 37.74/6.21 | |
% 37.74/6.21 | | COMBINE_EQS: (6), (12) imply:
% 37.74/6.21 | | (13) all_6_1 = e0
% 37.74/6.21 | |
% 37.74/6.21 | | REDUCE: (2), (13) imply:
% 37.74/6.21 | | (14) $false
% 37.74/6.21 | |
% 37.74/6.21 | | CLOSE: (14) is inconsistent.
% 37.74/6.21 | |
% 37.74/6.21 | End of split
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #45 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.21 (2) all_52_1 = all_6_1
% 37.74/6.21 (3) ~ (all_6_1 = e3)
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | ALPHA: (1) implies:
% 37.74/6.21 | (4) all_52_1 = e3
% 37.74/6.21 |
% 37.74/6.21 | COMBINE_EQS: (2), (4) imply:
% 37.74/6.21 | (5) all_6_1 = e3
% 37.74/6.21 |
% 37.74/6.21 | REDUCE: (3), (5) imply:
% 37.74/6.21 | (6) $false
% 37.74/6.21 |
% 37.74/6.21 | CLOSE: (6) is inconsistent.
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #46 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) ~ (all_12_0 = e3)
% 37.74/6.21 (2) all_56_6 = all_12_0
% 37.74/6.21 (3) ~ (all_4_0 = e1)
% 37.74/6.21 (4) ~ (all_6_1 = e1)
% 37.74/6.21 (5) all_52_0 = e3
% 37.74/6.21 (6) ~ (all_22_0 = all_12_0)
% 37.74/6.21 (7) all_58_14 = all_22_0
% 37.74/6.21 (8) all_52_1 = all_6_1
% 37.74/6.21 (9) all_58_15 = e3
% 37.74/6.21 (10) ~ (all_42_0 = e1)
% 37.74/6.21 (11) ~ (all_12_0 = e0)
% 37.74/6.21 (12) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.21 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.21 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.21 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.21 (13) all_58_13 = all_42_0
% 37.74/6.21 (14) ~ (all_12_0 = e2)
% 37.74/6.21 (15) all_56_6 = e3 | all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.21 (16) all_58_12 = all_4_0
% 37.74/6.21 (17) all_58_12 = e1 | all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | BETA: splitting (15) gives:
% 37.74/6.21 |
% 37.74/6.21 | Case 1:
% 37.74/6.21 | |
% 37.74/6.21 | | (18) all_56_6 = e3
% 37.74/6.21 | |
% 37.74/6.21 | | COMBINE_EQS: (2), (18) imply:
% 37.74/6.21 | | (19) all_12_0 = e3
% 37.74/6.21 | |
% 37.74/6.21 | | REDUCE: (1), (19) imply:
% 37.74/6.21 | | (20) $false
% 37.74/6.21 | |
% 37.74/6.21 | | CLOSE: (20) is inconsistent.
% 37.74/6.21 | |
% 37.74/6.21 | Case 2:
% 37.74/6.21 | |
% 37.74/6.21 | | (21) ~ (all_56_6 = e3)
% 37.74/6.21 | | (22) all_56_6 = e2 | all_56_6 = e1 | all_56_6 = e0
% 37.74/6.21 | |
% 37.74/6.21 | | BETA: splitting (17) gives:
% 37.74/6.21 | |
% 37.74/6.21 | | Case 1:
% 37.74/6.21 | | |
% 37.74/6.21 | | | (23) all_58_12 = e1
% 37.74/6.21 | | |
% 37.74/6.21 | | | COMBINE_EQS: (16), (23) imply:
% 37.74/6.21 | | | (24) all_4_0 = e1
% 37.74/6.21 | | |
% 37.74/6.21 | | | REDUCE: (3), (24) imply:
% 37.74/6.21 | | | (25) $false
% 37.74/6.21 | | |
% 37.74/6.21 | | | CLOSE: (25) is inconsistent.
% 37.74/6.21 | | |
% 37.74/6.21 | | Case 2:
% 37.74/6.21 | | |
% 37.74/6.21 | | | (26) all_58_13 = e1 | all_58_14 = e1 | all_58_15 = e1
% 37.74/6.21 | | |
% 37.74/6.21 | | | BETA: splitting (26) gives:
% 37.74/6.21 | | |
% 37.74/6.21 | | | Case 1:
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | (27) all_58_13 = e1
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | COMBINE_EQS: (13), (27) imply:
% 37.74/6.21 | | | | (28) all_42_0 = e1
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | REDUCE: (10), (28) imply:
% 37.74/6.21 | | | | (29) $false
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | CLOSE: (29) is inconsistent.
% 37.74/6.21 | | | |
% 37.74/6.21 | | | Case 2:
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | (30) all_58_14 = e1 | all_58_15 = e1
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | BETA: splitting (22) gives:
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | Case 1:
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | (31) all_56_6 = e2
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | COMBINE_EQS: (2), (31) imply:
% 37.74/6.21 | | | | | (32) all_12_0 = e2
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | REDUCE: (14), (32) imply:
% 37.74/6.21 | | | | | (33) $false
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | CLOSE: (33) is inconsistent.
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | Case 2:
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | (34) ~ (all_56_6 = e2)
% 37.74/6.21 | | | | | (35) all_56_6 = e1 | all_56_6 = e0
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | BETA: splitting (35) gives:
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | Case 1:
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | (36) all_56_6 = e1
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | COMBINE_EQS: (2), (36) imply:
% 37.74/6.21 | | | | | | (37) all_12_0 = e1
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | REDUCE: (6), (37) imply:
% 37.74/6.21 | | | | | | (38) ~ (all_22_0 = e1)
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | REDUCE: (1), (37) imply:
% 37.74/6.21 | | | | | | (39) ~ (e3 = e1)
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | SIMP: (39) implies:
% 37.74/6.21 | | | | | | (40) ~ (e3 = e1)
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | REDUCE: (14), (37) imply:
% 37.74/6.21 | | | | | | (41) ~ (e2 = e1)
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | SIMP: (41) implies:
% 37.74/6.21 | | | | | | (42) ~ (e2 = e1)
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | REDUCE: (11), (37) imply:
% 37.74/6.21 | | | | | | (43) ~ (e1 = e0)
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | BETA: splitting (30) gives:
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | Case 1:
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | | (44) all_58_14 = e1
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | | COMBINE_EQS: (7), (44) imply:
% 37.74/6.21 | | | | | | | (45) all_22_0 = e1
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | | REDUCE: (38), (45) imply:
% 37.74/6.21 | | | | | | | (46) $false
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | | CLOSE: (46) is inconsistent.
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | Case 2:
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | | (47) all_58_15 = e1
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | | COMBINE_EQS: (9), (47) imply:
% 37.74/6.21 | | | | | | | (48) e3 = e1
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | | COMBINE_EQS: (5), (48) imply:
% 37.74/6.21 | | | | | | | (49) all_52_0 = e1
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | | REF_CLOSE: (4), (8), (12), (40), (42), (43), (49) are inconsistent
% 37.74/6.21 | | | | | | | by sub-proof #58.
% 37.74/6.21 | | | | | | |
% 37.74/6.21 | | | | | | End of split
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | Case 2:
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | (50) all_56_6 = e0
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | COMBINE_EQS: (2), (50) imply:
% 37.74/6.21 | | | | | | (51) all_12_0 = e0
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | REDUCE: (11), (51) imply:
% 37.74/6.21 | | | | | | (52) $false
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | CLOSE: (52) is inconsistent.
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | End of split
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | End of split
% 37.74/6.21 | | | |
% 37.74/6.21 | | | End of split
% 37.74/6.21 | | |
% 37.74/6.21 | | End of split
% 37.74/6.21 | |
% 37.74/6.21 | End of split
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #47 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) ~ (e1 = e0)
% 37.74/6.21 (2) ~ (all_4_0 = e1)
% 37.74/6.21 (3) ~ (all_34_0 = e1)
% 37.74/6.21 (4) all_58_6 = all_34_0
% 37.74/6.21 (5) all_58_0 = e0
% 37.74/6.21 (6) ~ (all_14_0 = e1)
% 37.74/6.21 (7) all_58_12 = all_4_0
% 37.74/6.21 (8) all_58_2 = all_14_0
% 37.74/6.21 (9) all_58_0 = e1 | all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | BETA: splitting (9) gives:
% 37.74/6.21 |
% 37.74/6.21 | Case 1:
% 37.74/6.21 | |
% 37.74/6.21 | | (10) all_58_0 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #53.
% 37.74/6.21 | |
% 37.74/6.21 | Case 2:
% 37.74/6.21 | |
% 37.74/6.21 | | (11) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | BETA: splitting (11) gives:
% 37.74/6.21 | |
% 37.74/6.21 | | Case 1:
% 37.74/6.21 | | |
% 37.74/6.21 | | | (12) all_58_2 = e1
% 37.74/6.21 | | |
% 37.74/6.21 | | | COMBINE_EQS: (8), (12) imply:
% 37.74/6.21 | | | (13) all_14_0 = e1
% 37.74/6.21 | | |
% 37.74/6.21 | | | REDUCE: (6), (13) imply:
% 37.74/6.21 | | | (14) $false
% 37.74/6.21 | | |
% 37.74/6.21 | | | CLOSE: (14) is inconsistent.
% 37.74/6.21 | | |
% 37.74/6.21 | | Case 2:
% 37.74/6.21 | | |
% 37.74/6.21 | | | (15) all_58_6 = e1 | all_58_12 = e1
% 37.74/6.21 | | |
% 37.74/6.21 | | | REF_CLOSE: (2), (3), (4), (7), (15) are inconsistent by sub-proof #48.
% 37.74/6.21 | | |
% 37.74/6.21 | | End of split
% 37.74/6.21 | |
% 37.74/6.21 | End of split
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #48 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) ~ (all_4_0 = e1)
% 37.74/6.21 (2) ~ (all_34_0 = e1)
% 37.74/6.21 (3) all_58_6 = all_34_0
% 37.74/6.21 (4) all_58_12 = all_4_0
% 37.74/6.21 (5) all_58_6 = e1 | all_58_12 = e1
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | BETA: splitting (5) gives:
% 37.74/6.21 |
% 37.74/6.21 | Case 1:
% 37.74/6.21 | |
% 37.74/6.21 | | (6) all_58_6 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | COMBINE_EQS: (3), (6) imply:
% 37.74/6.21 | | (7) all_34_0 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | SIMP: (7) implies:
% 37.74/6.21 | | (8) all_34_0 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | REDUCE: (2), (8) imply:
% 37.74/6.21 | | (9) $false
% 37.74/6.21 | |
% 37.74/6.21 | | CLOSE: (9) is inconsistent.
% 37.74/6.21 | |
% 37.74/6.21 | Case 2:
% 37.74/6.21 | |
% 37.74/6.21 | | (10) all_58_12 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #50.
% 37.74/6.21 | |
% 37.74/6.21 | End of split
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #49 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) all_58_6 = e3 | all_58_7 = e3 | all_58_8 = e3 | all_58_11 = e3
% 37.74/6.21 (2) ~ (all_4_0 = e1)
% 37.74/6.21 (3) ~ (e3 = e0)
% 37.74/6.21 (4) ~ (e3 = e1)
% 37.74/6.21 (5) all_58_2 = e1 | all_58_6 = e1 | all_58_12 = e1
% 37.74/6.21 (6) all_58_8 = e0
% 37.74/6.21 (7) ~ (all_26_0 = e3)
% 37.74/6.21 (8) ~ (e3 = e2)
% 37.74/6.21 (9) ~ (all_14_0 = e1)
% 37.74/6.21 (10) all_58_7 = all_26_0
% 37.74/6.21 (11) all_58_12 = all_4_0
% 37.74/6.21 (12) all_58_11 = e2
% 37.74/6.21 (13) all_58_2 = all_14_0
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | BETA: splitting (5) gives:
% 37.74/6.21 |
% 37.74/6.21 | Case 1:
% 37.74/6.21 | |
% 37.74/6.21 | | (14) all_58_2 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | REF_CLOSE: (9), (13), (14) are inconsistent by sub-proof #52.
% 37.74/6.21 | |
% 37.74/6.21 | Case 2:
% 37.74/6.21 | |
% 37.74/6.21 | | (15) all_58_6 = e1 | all_58_12 = e1
% 37.74/6.21 | |
% 37.74/6.21 | | BETA: splitting (15) gives:
% 37.74/6.21 | |
% 37.74/6.21 | | Case 1:
% 37.74/6.21 | | |
% 37.74/6.21 | | | (16) all_58_6 = e1
% 37.74/6.21 | | |
% 37.74/6.21 | | | BETA: splitting (1) gives:
% 37.74/6.21 | | |
% 37.74/6.21 | | | Case 1:
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | (17) all_58_6 = e3
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | COMBINE_EQS: (16), (17) imply:
% 37.74/6.21 | | | | (18) e3 = e1
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | REDUCE: (4), (18) imply:
% 37.74/6.21 | | | | (19) $false
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | CLOSE: (19) is inconsistent.
% 37.74/6.21 | | | |
% 37.74/6.21 | | | Case 2:
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | (20) all_58_7 = e3 | all_58_8 = e3 | all_58_11 = e3
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | BETA: splitting (20) gives:
% 37.74/6.21 | | | |
% 37.74/6.21 | | | | Case 1:
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | (21) all_58_7 = e3
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | COMBINE_EQS: (10), (21) imply:
% 37.74/6.21 | | | | | (22) all_26_0 = e3
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | REDUCE: (7), (22) imply:
% 37.74/6.21 | | | | | (23) $false
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | CLOSE: (23) is inconsistent.
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | Case 2:
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | (24) all_58_8 = e3 | all_58_11 = e3
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | BETA: splitting (24) gives:
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | | Case 1:
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | (25) all_58_8 = e3
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | REF_CLOSE: (3), (6), (25) are inconsistent by sub-proof #51.
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | Case 2:
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | (26) all_58_11 = e3
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | COMBINE_EQS: (12), (26) imply:
% 37.74/6.21 | | | | | | (27) e3 = e2
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | REDUCE: (8), (27) imply:
% 37.74/6.21 | | | | | | (28) $false
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | | CLOSE: (28) is inconsistent.
% 37.74/6.21 | | | | | |
% 37.74/6.21 | | | | | End of split
% 37.74/6.21 | | | | |
% 37.74/6.21 | | | | End of split
% 37.74/6.21 | | | |
% 37.74/6.21 | | | End of split
% 37.74/6.21 | | |
% 37.74/6.21 | | Case 2:
% 37.74/6.21 | | |
% 37.74/6.21 | | | (29) all_58_12 = e1
% 37.74/6.21 | | |
% 37.74/6.21 | | | REF_CLOSE: (2), (11), (29) are inconsistent by sub-proof #50.
% 37.74/6.21 | | |
% 37.74/6.21 | | End of split
% 37.74/6.21 | |
% 37.74/6.21 | End of split
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #50 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) all_58_12 = all_4_0
% 37.74/6.21 (2) all_58_12 = e1
% 37.74/6.21 (3) ~ (all_4_0 = e1)
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.21 | (4) all_4_0 = e1
% 37.74/6.21 |
% 37.74/6.21 | SIMP: (4) implies:
% 37.74/6.21 | (5) all_4_0 = e1
% 37.74/6.21 |
% 37.74/6.21 | REDUCE: (3), (5) imply:
% 37.74/6.21 | (6) $false
% 37.74/6.21 |
% 37.74/6.21 | CLOSE: (6) is inconsistent.
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #51 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) all_58_8 = e3
% 37.74/6.21 (2) all_58_8 = e0
% 37.74/6.21 (3) ~ (e3 = e0)
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.21 | (4) e3 = e0
% 37.74/6.21 |
% 37.74/6.21 | SIMP: (4) implies:
% 37.74/6.21 | (5) e3 = e0
% 37.74/6.21 |
% 37.74/6.21 | REDUCE: (3), (5) imply:
% 37.74/6.21 | (6) $false
% 37.74/6.21 |
% 37.74/6.21 | CLOSE: (6) is inconsistent.
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #52 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) all_58_2 = all_14_0
% 37.74/6.21 (2) all_58_2 = e1
% 37.74/6.21 (3) ~ (all_14_0 = e1)
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.21 | (4) all_14_0 = e1
% 37.74/6.21 |
% 37.74/6.21 | SIMP: (4) implies:
% 37.74/6.21 | (5) all_14_0 = e1
% 37.74/6.21 |
% 37.74/6.21 | REDUCE: (3), (5) imply:
% 37.74/6.21 | (6) $false
% 37.74/6.21 |
% 37.74/6.21 | CLOSE: (6) is inconsistent.
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #53 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) all_58_0 = e1
% 37.74/6.21 (2) all_58_0 = e0
% 37.74/6.21 (3) ~ (e1 = e0)
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.21 | (4) e1 = e0
% 37.74/6.21 |
% 37.74/6.21 | SIMP: (4) implies:
% 37.74/6.21 | (5) e1 = e0
% 37.74/6.21 |
% 37.74/6.21 | REDUCE: (3), (5) imply:
% 37.74/6.21 | (6) $false
% 37.74/6.21 |
% 37.74/6.21 | CLOSE: (6) is inconsistent.
% 37.74/6.21 |
% 37.74/6.21 End of proof
% 37.74/6.21
% 37.74/6.21 Sub-proof #54 shows that the following formulas are inconsistent:
% 37.74/6.21 ----------------------------------------------------------------
% 37.74/6.21 (1) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.21 (2) all_52_2 = all_12_1
% 37.74/6.21 (3) ~ (all_12_1 = e2)
% 37.74/6.21
% 37.74/6.21 Begin of proof
% 37.74/6.21 |
% 37.74/6.21 | ALPHA: (1) implies:
% 37.74/6.21 | (4) all_52_2 = e2
% 37.74/6.21 |
% 37.74/6.21 | COMBINE_EQS: (2), (4) imply:
% 37.74/6.21 | (5) all_12_1 = e2
% 37.74/6.21 |
% 37.74/6.21 | REDUCE: (3), (5) imply:
% 37.74/6.21 | (6) $false
% 37.74/6.21 |
% 37.74/6.21 | CLOSE: (6) is inconsistent.
% 37.74/6.21 |
% 37.74/6.22 End of proof
% 37.74/6.22
% 37.74/6.22 Sub-proof #55 shows that the following formulas are inconsistent:
% 37.74/6.22 ----------------------------------------------------------------
% 37.74/6.22 (1) all_56_11 = e1 | all_56_11 = e0
% 37.74/6.22 (2) all_56_11 = all_8_0
% 37.74/6.22 (3) ~ (all_8_0 = e1)
% 37.74/6.22 (4) ~ (all_8_0 = e0)
% 37.74/6.22
% 37.74/6.22 Begin of proof
% 37.74/6.22 |
% 37.74/6.22 | BETA: splitting (1) gives:
% 37.74/6.22 |
% 37.74/6.22 | Case 1:
% 37.74/6.22 | |
% 37.74/6.22 | | (5) all_56_11 = e1
% 37.74/6.22 | |
% 37.74/6.22 | | COMBINE_EQS: (2), (5) imply:
% 37.74/6.22 | | (6) all_8_0 = e1
% 37.74/6.22 | |
% 37.74/6.22 | | REDUCE: (3), (6) imply:
% 37.74/6.22 | | (7) $false
% 37.74/6.22 | |
% 37.74/6.22 | | CLOSE: (7) is inconsistent.
% 37.74/6.22 | |
% 37.74/6.22 | Case 2:
% 37.74/6.22 | |
% 37.74/6.22 | | (8) all_56_11 = e0
% 37.74/6.22 | |
% 37.74/6.22 | | COMBINE_EQS: (2), (8) imply:
% 37.74/6.22 | | (9) all_8_0 = e0
% 37.74/6.22 | |
% 37.74/6.22 | | REDUCE: (4), (9) imply:
% 37.74/6.22 | | (10) $false
% 37.74/6.22 | |
% 37.74/6.22 | | CLOSE: (10) is inconsistent.
% 37.74/6.22 | |
% 37.74/6.22 | End of split
% 37.74/6.22 |
% 37.74/6.22 End of proof
% 37.74/6.22
% 37.74/6.22 Sub-proof #56 shows that the following formulas are inconsistent:
% 37.74/6.22 ----------------------------------------------------------------
% 37.74/6.22 (1) all_56_11 = all_8_0
% 37.74/6.22 (2) all_56_11 = e2
% 37.74/6.22 (3) ~ (all_8_0 = e2)
% 37.74/6.22
% 37.74/6.22 Begin of proof
% 37.74/6.22 |
% 37.74/6.22 | COMBINE_EQS: (1), (2) imply:
% 37.74/6.22 | (4) all_8_0 = e2
% 37.74/6.22 |
% 37.74/6.22 | SIMP: (4) implies:
% 37.74/6.22 | (5) all_8_0 = e2
% 37.74/6.22 |
% 37.74/6.22 | REDUCE: (3), (5) imply:
% 37.74/6.22 | (6) $false
% 37.74/6.22 |
% 37.74/6.22 | CLOSE: (6) is inconsistent.
% 37.74/6.22 |
% 37.74/6.22 End of proof
% 37.74/6.22
% 37.74/6.22 Sub-proof #57 shows that the following formulas are inconsistent:
% 37.74/6.22 ----------------------------------------------------------------
% 37.74/6.22 (1) ~ (e1 = e0)
% 37.74/6.22 (2) ~ (all_6_1 = e2)
% 37.74/6.22 (3) ~ (e3 = e1)
% 37.74/6.22 (4) ~ (all_6_1 = e1)
% 37.74/6.22 (5) ~ (e2 = e1)
% 37.74/6.22 (6) all_52_1 = all_6_1
% 37.74/6.22 (7) ~ (e3 = e2)
% 37.74/6.22 (8) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.22 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.22 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.22 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.22 (9) all_52_2 = e2
% 37.74/6.22 (10) ~ (e2 = e0)
% 37.74/6.22
% 37.74/6.22 Begin of proof
% 37.74/6.22 |
% 37.74/6.22 | BETA: splitting (8) gives:
% 37.74/6.22 |
% 37.74/6.22 | Case 1:
% 37.74/6.22 | |
% 37.74/6.22 | | (11) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.22 | | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2)
% 37.74/6.22 | |
% 37.74/6.22 | | BETA: splitting (11) gives:
% 37.74/6.22 | |
% 37.74/6.22 | | Case 1:
% 37.74/6.22 | | |
% 37.74/6.22 | | | (12) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.22 | | |
% 37.74/6.22 | | | REF_CLOSE: (7), (9), (12) are inconsistent by sub-proof #61.
% 37.74/6.22 | | |
% 37.74/6.22 | | Case 2:
% 37.74/6.22 | | |
% 37.74/6.22 | | | (13) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.22 | | |
% 37.74/6.22 | | | REF_CLOSE: (2), (6), (13) are inconsistent by sub-proof #60.
% 37.74/6.22 | | |
% 37.74/6.22 | | End of split
% 37.74/6.22 | |
% 37.74/6.22 | Case 2:
% 37.74/6.22 | |
% 37.74/6.22 | | (14) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.22 | | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.22 | |
% 37.74/6.22 | | BETA: splitting (14) gives:
% 37.74/6.22 | |
% 37.74/6.22 | | Case 1:
% 37.74/6.22 | | |
% 37.74/6.22 | | | (15) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.22 | | |
% 37.74/6.22 | | | ALPHA: (15) implies:
% 37.74/6.22 | | | (16) all_52_0 = e1
% 37.74/6.22 | | |
% 37.74/6.22 | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (16) are inconsistent by
% 37.74/6.22 | | | sub-proof #58.
% 37.74/6.22 | | |
% 37.74/6.22 | | Case 2:
% 37.74/6.22 | | |
% 37.74/6.22 | | | (17) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0
% 37.74/6.22 | | |
% 37.74/6.22 | | | ALPHA: (17) implies:
% 37.74/6.22 | | | (18) all_52_2 = e0
% 37.74/6.22 | | |
% 37.74/6.22 | | | COMBINE_EQS: (9), (18) imply:
% 37.74/6.22 | | | (19) e2 = e0
% 37.74/6.22 | | |
% 37.74/6.22 | | | REDUCE: (10), (19) imply:
% 37.74/6.22 | | | (20) $false
% 37.74/6.22 | | |
% 37.74/6.22 | | | CLOSE: (20) is inconsistent.
% 37.74/6.22 | | |
% 37.74/6.22 | | End of split
% 37.74/6.22 | |
% 37.74/6.22 | End of split
% 37.74/6.22 |
% 37.74/6.22 End of proof
% 37.74/6.22
% 37.74/6.22 Sub-proof #58 shows that the following formulas are inconsistent:
% 37.74/6.22 ----------------------------------------------------------------
% 37.74/6.22 (1) ~ (e1 = e0)
% 37.74/6.22 (2) ~ (e3 = e1)
% 37.74/6.22 (3) ~ (all_6_1 = e1)
% 37.74/6.22 (4) ~ (e2 = e1)
% 37.74/6.22 (5) all_52_0 = e1
% 37.74/6.22 (6) all_52_1 = all_6_1
% 37.74/6.22 (7) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.22 (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2) |
% 37.74/6.22 (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.22 (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.22
% 37.74/6.22 Begin of proof
% 37.74/6.22 |
% 37.74/6.22 | BETA: splitting (7) gives:
% 37.74/6.22 |
% 37.74/6.22 | Case 1:
% 37.74/6.22 | |
% 37.74/6.22 | | (8) (all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3) |
% 37.74/6.22 | | (all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2)
% 37.74/6.22 | |
% 37.74/6.22 | | BETA: splitting (8) gives:
% 37.74/6.22 | |
% 37.74/6.22 | | Case 1:
% 37.74/6.22 | | |
% 37.74/6.22 | | | (9) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 37.74/6.22 | | |
% 37.74/6.22 | | | ALPHA: (9) implies:
% 37.74/6.22 | | | (10) all_52_0 = e3
% 37.74/6.22 | | |
% 37.74/6.22 | | | COMBINE_EQS: (5), (10) imply:
% 37.74/6.22 | | | (11) e3 = e1
% 37.74/6.22 | | |
% 37.74/6.22 | | | SIMP: (11) implies:
% 37.74/6.22 | | | (12) e3 = e1
% 37.74/6.22 | | |
% 37.74/6.22 | | | REDUCE: (2), (12) imply:
% 37.74/6.22 | | | (13) $false
% 37.74/6.22 | | |
% 37.74/6.22 | | | CLOSE: (13) is inconsistent.
% 37.74/6.22 | | |
% 37.74/6.22 | | Case 2:
% 37.74/6.22 | | |
% 37.74/6.22 | | | (14) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.22 | | |
% 37.74/6.22 | | | ALPHA: (14) implies:
% 37.74/6.22 | | | (15) all_52_0 = e2
% 37.74/6.22 | | |
% 37.74/6.22 | | | COMBINE_EQS: (5), (15) imply:
% 37.74/6.22 | | | (16) e2 = e1
% 37.74/6.22 | | |
% 37.74/6.22 | | | SIMP: (16) implies:
% 37.74/6.22 | | | (17) e2 = e1
% 37.74/6.22 | | |
% 37.74/6.22 | | | REDUCE: (4), (17) imply:
% 37.74/6.22 | | | (18) $false
% 37.74/6.22 | | |
% 37.74/6.22 | | | CLOSE: (18) is inconsistent.
% 37.74/6.22 | | |
% 37.74/6.22 | | End of split
% 37.74/6.22 | |
% 37.74/6.22 | Case 2:
% 37.74/6.22 | |
% 37.74/6.22 | | (19) (all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1) |
% 37.74/6.22 | | (all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0)
% 37.74/6.22 | |
% 37.74/6.22 | | BETA: splitting (19) gives:
% 37.74/6.22 | |
% 37.74/6.22 | | Case 1:
% 37.74/6.22 | | |
% 37.74/6.22 | | | (20) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.22 | | |
% 37.74/6.22 | | | REF_CLOSE: (3), (6), (20) are inconsistent by sub-proof #59.
% 37.74/6.22 | | |
% 37.74/6.22 | | Case 2:
% 37.74/6.22 | | |
% 37.74/6.22 | | | (21) all_52_0 = e0 & all_52_1 = e0 & all_52_2 = e0 & all_52_3 = e0
% 37.74/6.22 | | |
% 37.74/6.22 | | | ALPHA: (21) implies:
% 37.74/6.22 | | | (22) all_52_0 = e0
% 37.74/6.22 | | |
% 37.74/6.22 | | | COMBINE_EQS: (5), (22) imply:
% 37.74/6.22 | | | (23) e1 = e0
% 37.74/6.22 | | |
% 37.74/6.22 | | | REDUCE: (1), (23) imply:
% 37.74/6.22 | | | (24) $false
% 37.74/6.22 | | |
% 37.74/6.22 | | | CLOSE: (24) is inconsistent.
% 37.74/6.22 | | |
% 37.74/6.22 | | End of split
% 37.74/6.22 | |
% 37.74/6.22 | End of split
% 37.74/6.22 |
% 37.74/6.22 End of proof
% 37.74/6.22
% 37.74/6.22 Sub-proof #59 shows that the following formulas are inconsistent:
% 37.74/6.22 ----------------------------------------------------------------
% 37.74/6.22 (1) all_52_0 = e1 & all_52_1 = e1 & all_52_2 = e1 & all_52_3 = e1
% 37.74/6.22 (2) all_52_1 = all_6_1
% 37.74/6.22 (3) ~ (all_6_1 = e1)
% 37.74/6.22
% 37.74/6.22 Begin of proof
% 37.74/6.22 |
% 37.74/6.22 | ALPHA: (1) implies:
% 37.74/6.22 | (4) all_52_1 = e1
% 37.74/6.22 |
% 37.74/6.22 | COMBINE_EQS: (2), (4) imply:
% 37.74/6.22 | (5) all_6_1 = e1
% 37.74/6.22 |
% 37.74/6.22 | REDUCE: (3), (5) imply:
% 37.74/6.22 | (6) $false
% 37.74/6.22 |
% 37.74/6.22 | CLOSE: (6) is inconsistent.
% 37.74/6.22 |
% 37.74/6.22 End of proof
% 37.74/6.22
% 37.74/6.22 Sub-proof #60 shows that the following formulas are inconsistent:
% 37.74/6.22 ----------------------------------------------------------------
% 37.74/6.22 (1) all_52_0 = e2 & all_52_1 = e2 & all_52_2 = e2 & all_52_3 = e2
% 37.74/6.22 (2) all_52_1 = all_6_1
% 37.74/6.22 (3) ~ (all_6_1 = e2)
% 37.74/6.22
% 37.74/6.22 Begin of proof
% 37.74/6.22 |
% 37.74/6.22 | ALPHA: (1) implies:
% 37.74/6.22 | (4) all_52_1 = e2
% 37.74/6.22 |
% 37.74/6.22 | COMBINE_EQS: (2), (4) imply:
% 37.74/6.22 | (5) all_6_1 = e2
% 37.74/6.22 |
% 37.74/6.22 | REDUCE: (3), (5) imply:
% 37.74/6.22 | (6) $false
% 37.74/6.22 |
% 37.74/6.22 | CLOSE: (6) is inconsistent.
% 37.74/6.22 |
% 37.74/6.22 End of proof
% 37.74/6.22
% 37.74/6.22 Sub-proof #61 shows that the following formulas are inconsistent:
% 37.74/6.22 ----------------------------------------------------------------
% 38.12/6.22 (1) all_52_0 = e3 & all_52_1 = e3 & all_52_2 = e3 & all_52_3 = e3
% 38.12/6.22 (2) all_52_2 = e2
% 38.12/6.22 (3) ~ (e3 = e2)
% 38.12/6.22
% 38.12/6.22 Begin of proof
% 38.12/6.22 |
% 38.12/6.22 | ALPHA: (1) implies:
% 38.12/6.22 | (4) all_52_2 = e3
% 38.12/6.22 |
% 38.12/6.22 | COMBINE_EQS: (2), (4) imply:
% 38.12/6.22 | (5) e3 = e2
% 38.12/6.22 |
% 38.12/6.22 | SIMP: (5) implies:
% 38.12/6.22 | (6) e3 = e2
% 38.12/6.22 |
% 38.12/6.22 | REDUCE: (3), (6) imply:
% 38.12/6.22 | (7) $false
% 38.12/6.22 |
% 38.12/6.22 | CLOSE: (7) is inconsistent.
% 38.12/6.22 |
% 38.12/6.22 End of proof
% 38.12/6.22 % SZS output end Proof for theBenchmark
% 38.12/6.22
% 38.12/6.22 5618ms
%------------------------------------------------------------------------------