TSTP Solution File: ALG038+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG038+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 : n016.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 16:35:48 EDT 2023
% Result : Theorem 15.54s 2.93s
% Output : Proof 86.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ALG038+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 04:22:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.69/1.57 Prover 1: Preprocessing ...
% 4.69/1.57 Prover 4: Preprocessing ...
% 4.69/1.60 Prover 0: Preprocessing ...
% 4.69/1.60 Prover 6: Preprocessing ...
% 4.69/1.60 Prover 5: Preprocessing ...
% 4.69/1.60 Prover 3: Preprocessing ...
% 4.69/1.60 Prover 2: Preprocessing ...
% 11.47/2.40 Prover 3: Constructing countermodel ...
% 11.47/2.40 Prover 2: Constructing countermodel ...
% 12.07/2.41 Prover 1: Constructing countermodel ...
% 12.07/2.42 Prover 4: Constructing countermodel ...
% 12.07/2.43 Prover 6: Constructing countermodel ...
% 12.07/2.43 Prover 0: Constructing countermodel ...
% 15.54/2.91 Prover 2: proved (2272ms)
% 15.54/2.91
% 15.54/2.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.54/2.93
% 15.54/2.93 Prover 3: stopped
% 15.54/2.94 Prover 0: stopped
% 15.54/2.95 Prover 6: stopped
% 15.54/2.95 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 15.54/2.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 15.54/2.95 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.54/2.95 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 17.54/3.27 Prover 5: Constructing countermodel ...
% 18.29/3.28 Prover 5: stopped
% 18.49/3.30 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 18.49/3.31 Prover 8: Preprocessing ...
% 18.69/3.36 Prover 11: Preprocessing ...
% 18.69/3.36 Prover 10: Preprocessing ...
% 18.69/3.38 Prover 7: Preprocessing ...
% 20.00/3.52 Prover 8: Constructing countermodel ...
% 20.00/3.56 Prover 13: Preprocessing ...
% 21.73/3.73 Prover 10: Constructing countermodel ...
% 21.73/3.75 Prover 11: Constructing countermodel ...
% 21.73/3.80 Prover 7: Constructing countermodel ...
% 21.73/3.82 Prover 13: Constructing countermodel ...
% 63.85/9.30 Prover 13: stopped
% 63.85/9.30 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 65.16/9.46 Prover 16: Preprocessing ...
% 66.72/9.66 Prover 16: Constructing countermodel ...
% 80.44/11.53 Prover 1: Found proof (size 8565)
% 80.44/11.53 Prover 1: proved (10896ms)
% 80.44/11.53 Prover 11: stopped
% 80.44/11.53 Prover 16: stopped
% 80.44/11.53 Prover 8: stopped
% 80.96/11.53 Prover 7: stopped
% 80.96/11.53 Prover 10: stopped
% 80.96/11.53 Prover 4: stopped
% 80.96/11.53
% 80.96/11.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 80.96/11.53
% 83.16/12.13 % SZS output start Proof for theBenchmark
% 83.46/12.17 Assumptions after simplification:
% 83.46/12.17 ---------------------------------
% 83.46/12.17
% 83.46/12.17 (ax1)
% 83.58/12.22 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 83.58/12.22 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 83.58/12.22 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 83.58/12.22 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 83.58/12.22 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 &
% 83.58/12.22 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 83.58/12.22 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 &
% 83.58/12.22 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 83.58/12.22 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 83.58/12.22 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 83.58/12.22 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14
% 83.58/12.22 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13
% 83.58/12.22 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 |
% 83.58/12.22 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 |
% 83.58/12.22 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8
% 83.58/12.22 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 83.58/12.22 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 =
% 83.58/12.22 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13
% 83.58/12.22 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 =
% 83.58/12.22 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12
% 83.58/12.22 | v0 = e11 | v0 = e10))
% 83.58/12.22
% 83.58/12.22 (ax10)
% 83.58/12.22 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 83.58/12.22 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 83.58/12.22
% 83.58/12.22 (ax12)
% 83.75/12.23 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 83.75/12.23 $i] : ? [v3: $i] : (op1(e13, e13) = v3 & op1(e12, e12) = v2 & op1(e11, e11)
% 83.75/12.23 = v1 & op1(e10, e10) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 =
% 83.75/12.23 e13) | ~ (v2 = e13) | ~ (v1 = e13) | ~ (v0 = e13)) & ( ~ (v3 = e12) |
% 83.75/12.23 ~ (v2 = e12) | ~ (v1 = e12) | ~ (v0 = e12)) & ( ~ (v3 = e11) | ~ (v2 =
% 83.75/12.23 e11) | ~ (v1 = e11) | ~ (v0 = e11)) & ( ~ (v3 = e10) | ~ (v2 = e10) |
% 83.75/12.23 ~ (v1 = e10) | ~ (v0 = e10)))
% 83.75/12.23
% 83.75/12.23 (ax13)
% 83.75/12.23 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 83.75/12.23 $i] : ? [v3: $i] : (op2(e23, e23) = v3 & op2(e22, e22) = v2 & op2(e21, e21)
% 83.75/12.23 = v1 & op2(e20, e20) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 =
% 83.75/12.23 e23) | ~ (v2 = e23) | ~ (v1 = e23) | ~ (v0 = e23)) & ( ~ (v3 = e22) |
% 83.75/12.23 ~ (v2 = e22) | ~ (v1 = e22) | ~ (v0 = e22)) & ( ~ (v3 = e21) | ~ (v2 =
% 83.75/12.23 e21) | ~ (v1 = e21) | ~ (v0 = e21)) & ( ~ (v3 = e20) | ~ (v2 = e20) |
% 83.75/12.23 ~ (v1 = e20) | ~ (v0 = e20)))
% 83.75/12.23
% 83.75/12.23 (ax14)
% 83.75/12.23 op1(e11, e13) = e12 & op1(e11, e12) = e10 & op1(e11, e11) = e13 & $i(e13) &
% 83.75/12.23 $i(e12) & $i(e11) & $i(e10)
% 83.75/12.23
% 83.75/12.23 (ax15)
% 83.78/12.23 op2(e21, e23) = e22 & op2(e21, e22) = e20 & op2(e21, e21) = e23 & $i(e23) &
% 83.78/12.23 $i(e22) & $i(e21) & $i(e20)
% 83.78/12.23
% 83.78/12.23 (ax16)
% 83.78/12.24 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 83.78/12.24 ? [v2: $i] : (h1(e13) = v1 & h1(e12) = v2 & h1(e11) = e20 & h1(e10) = v0 &
% 83.78/12.24 op2(e20, v2) = v0 & op2(e20, v1) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1)
% 83.78/12.24 & $i(v0))
% 83.78/12.24
% 83.78/12.24 (ax17)
% 83.78/12.24 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 83.78/12.24 ? [v2: $i] : (h2(e13) = v1 & h2(e12) = v2 & h2(e11) = e21 & h2(e10) = v0 &
% 83.78/12.24 op2(e21, v2) = v0 & op2(e21, v1) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1)
% 83.78/12.24 & $i(v0))
% 83.78/12.24
% 83.78/12.24 (ax18)
% 83.78/12.24 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 83.78/12.24 ? [v2: $i] : (h3(e13) = v1 & h3(e12) = v2 & h3(e11) = e22 & h3(e10) = v0 &
% 83.78/12.24 op2(e22, v2) = v0 & op2(e22, v1) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1)
% 83.78/12.24 & $i(v0))
% 83.78/12.24
% 83.78/12.24 (ax19)
% 83.78/12.24 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 83.78/12.24 ? [v2: $i] : (h4(e13) = v1 & h4(e12) = v2 & h4(e11) = e23 & h4(e10) = v0 &
% 83.78/12.24 op2(e23, v2) = v0 & op2(e23, v1) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1)
% 83.78/12.24 & $i(v0))
% 83.78/12.24
% 83.78/12.24 (ax2)
% 83.78/12.25 op1(unit1, e13) = e13 & op1(unit1, e12) = e12 & op1(unit1, e11) = e11 &
% 83.78/12.25 op1(unit1, e10) = e10 & op1(e13, unit1) = e13 & op1(e12, unit1) = e12 &
% 83.78/12.25 op1(e11, unit1) = e11 & op1(e10, unit1) = e10 & $i(unit1) & $i(e13) & $i(e12)
% 83.78/12.25 & $i(e11) & $i(e10) & (unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10)
% 83.78/12.25
% 83.78/12.25 (ax3)
% 83.78/12.26 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 83.78/12.26 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 83.78/12.26 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 83.78/12.26 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 83.78/12.26 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 83.78/12.26 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 83.78/12.26 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 &
% 83.78/12.26 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 83.78/12.26 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 83.78/12.26 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 83.78/12.26 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 =
% 83.78/12.26 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 83.78/12.26 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 =
% 83.78/12.26 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 =
% 83.78/12.26 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 =
% 83.78/12.26 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13)
% 83.78/12.26 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 |
% 83.78/12.26 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) &
% 83.78/12.26 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 |
% 83.78/12.26 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) &
% 83.78/12.26 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 83.78/12.26 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 =
% 83.78/12.26 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10
% 83.78/12.26 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 83.78/12.26 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11)
% 83.78/12.26 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 =
% 83.78/12.26 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11
% 83.78/12.26 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 =
% 83.78/12.26 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11
% 83.78/12.26 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) &
% 83.78/12.26 (v3 = e10 | v2 = e10 | v1 = e10))))
% 83.78/12.26
% 83.78/12.26 (ax4)
% 83.78/12.27 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 83.78/12.27 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 83.78/12.27 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 83.78/12.27 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 83.78/12.27 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 83.78/12.27 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 83.78/12.27 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 &
% 83.78/12.27 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 83.78/12.27 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 83.78/12.27 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 83.78/12.27 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14
% 83.78/12.27 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13
% 83.78/12.27 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 |
% 83.78/12.27 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 |
% 83.78/12.27 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8
% 83.78/12.27 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 83.78/12.27 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 =
% 83.78/12.27 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23
% 83.78/12.27 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 =
% 83.78/12.27 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 83.78/12.27 | v0 = e21 | v0 = e20))
% 83.78/12.27
% 83.78/12.27 (ax5)
% 83.78/12.27 op2(unit2, e23) = e23 & op2(unit2, e22) = e22 & op2(unit2, e21) = e21 &
% 83.78/12.27 op2(unit2, e20) = e20 & op2(e23, unit2) = e23 & op2(e22, unit2) = e22 &
% 83.78/12.27 op2(e21, unit2) = e21 & op2(e20, unit2) = e20 & $i(unit2) & $i(e23) & $i(e22)
% 83.78/12.27 & $i(e21) & $i(e20) & (unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20)
% 83.78/12.27
% 83.78/12.27 (ax6)
% 83.78/12.28 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 83.78/12.28 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 83.78/12.28 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 83.78/12.28 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 83.78/12.28 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 83.78/12.28 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 83.78/12.28 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 &
% 83.78/12.28 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 83.78/12.28 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 83.78/12.28 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 83.78/12.28 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 =
% 83.78/12.28 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 83.78/12.28 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 =
% 83.78/12.28 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 =
% 83.78/12.28 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 =
% 83.78/12.28 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23)
% 83.78/12.28 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 |
% 83.78/12.28 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) &
% 83.78/12.28 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 |
% 83.78/12.28 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) &
% 83.78/12.28 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 83.78/12.28 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 =
% 83.78/12.28 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20
% 83.78/12.28 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 83.78/12.28 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21)
% 83.78/12.28 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 =
% 83.78/12.28 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21
% 83.78/12.28 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 =
% 83.78/12.28 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21
% 83.78/12.28 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) &
% 83.78/12.28 (v3 = e20 | v2 = e20 | v1 = e20))))
% 83.78/12.28
% 83.78/12.28 (ax7)
% 83.78/12.28 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 83.78/12.28 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 83.78/12.28 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 83.78/12.28 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 83.78/12.28 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 83.78/12.28 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 83.78/12.28 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 83.78/12.28 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 83.78/12.28 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 83.78/12.28 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 83.78/12.28 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 83.78/12.28 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 83.78/12.28 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 83.78/12.28 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13,
% 83.78/12.28 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14
% 83.78/12.28 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11,
% 83.78/12.28 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1
% 83.78/12.28 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10,
% 83.78/12.28 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 83.78/12.28 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 83.78/12.28 $i(v1) & $i(v0))
% 83.78/12.28
% 83.78/12.28 (ax8)
% 83.78/12.29 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 83.78/12.29 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 83.78/12.29 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 83.78/12.29 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 83.78/12.29 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 83.78/12.29 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 83.78/12.29 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 83.78/12.29 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 83.78/12.29 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 83.78/12.29 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 83.78/12.29 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 83.78/12.29 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 83.78/12.29 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 83.78/12.29 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23,
% 83.78/12.29 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14
% 83.78/12.29 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21,
% 83.78/12.29 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1
% 83.78/12.29 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20,
% 83.78/12.29 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 83.78/12.29 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 83.78/12.29 $i(v1) & $i(v0))
% 83.78/12.29
% 83.78/12.29 (co1)
% 84.12/12.31 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 84.12/12.31 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 84.12/12.31 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 84.12/12.31 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 84.12/12.31 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 84.12/12.31 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 84.12/12.31 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 84.12/12.31 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 84.12/12.31 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 84.12/12.31 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 84.12/12.31 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 84.12/12.31 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 84.12/12.31 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 84.12/12.31 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 84.12/12.31 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 84.12/12.31 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 84.12/12.31 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 84.12/12.31 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 84.12/12.31 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 84.12/12.31 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 84.12/12.31 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 84.12/12.31 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 84.12/12.31 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 84.12/12.31 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 84.12/12.31 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 84.12/12.31 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 84.12/12.31 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 84.12/12.31 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 84.12/12.31 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 84.12/12.31 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 84.12/12.31 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 84.12/12.31 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 84.12/12.31 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 84.12/12.31 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) =
% 84.12/12.31 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 84.12/12.31 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16)
% 84.12/12.31 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 &
% 84.12/12.31 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49)
% 84.12/12.31 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 &
% 84.12/12.31 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22)
% 84.12/12.31 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 &
% 84.12/12.31 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92
% 84.12/12.31 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) =
% 84.12/12.31 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 &
% 84.12/12.31 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) =
% 84.12/12.31 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) =
% 84.12/12.31 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 &
% 84.12/12.31 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) =
% 84.12/12.31 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 &
% 84.12/12.31 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 &
% 84.12/12.31 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134,
% 84.12/12.31 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 84.12/12.31 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131,
% 84.12/12.31 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 84.12/12.31 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125,
% 84.12/12.31 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125,
% 84.12/12.31 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92)
% 84.12/12.31 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113
% 84.12/12.31 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 84.12/12.31 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 84.12/12.31 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 84.12/12.31 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 84.12/12.31 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 84.12/12.31 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 84.12/12.31 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 84.12/12.31 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 84.12/12.31 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 84.12/12.31 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 84.12/12.31 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 84.12/12.31 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 84.12/12.31 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 84.12/12.31 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 84.12/12.31 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 84.12/12.31 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 84.12/12.31 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 84.12/12.31 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 84.12/12.31 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 84.12/12.31 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 84.12/12.31 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 84.12/12.31 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 84.12/12.31 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 84.12/12.31 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 84.12/12.31 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 84.12/12.31 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 84.12/12.31 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 84.12/12.31 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 84.12/12.31 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 84.12/12.31 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 84.12/12.31 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 84.12/12.31 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 84.12/12.31 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 84.12/12.31 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 84.12/12.31 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 84.12/12.31 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 84.12/12.31 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 84.12/12.31 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 84.12/12.31 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 84.12/12.31 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 84.12/12.31 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 84.12/12.31 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 84.12/12.31 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 84.12/12.31 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 84.12/12.31 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 84.12/12.31 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 84.12/12.31 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 84.12/12.31 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 84.12/12.31 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 84.12/12.31 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 84.12/12.31 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 84.12/12.31 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 84.12/12.31 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 84.12/12.31 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 84.12/12.31 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 84.12/12.31 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 84.12/12.31 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 84.12/12.31 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 84.12/12.31 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 84.12/12.31 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 84.12/12.31 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 84.12/12.31 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 84.12/12.31 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 84.12/12.31 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 84.12/12.31 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 84.12/12.31 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 84.12/12.31 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 84.12/12.32 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 84.12/12.32 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 84.12/12.32 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 84.12/12.32 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 84.12/12.32 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 84.12/12.32
% 84.12/12.32 (function-axioms)
% 84.12/12.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 84.12/12.32 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 84.12/12.32 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 84.12/12.32 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 84.12/12.32 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 84.12/12.32 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 84.12/12.32 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 84.12/12.32 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 84.12/12.32
% 84.12/12.32 Further assumptions not needed in the proof:
% 84.12/12.32 --------------------------------------------
% 84.12/12.32 ax11, ax9
% 84.12/12.32
% 84.12/12.32 Those formulas are unsatisfiable:
% 84.12/12.32 ---------------------------------
% 84.12/12.32
% 84.12/12.32 Begin of proof
% 84.12/12.32 |
% 84.12/12.32 | ALPHA: (ax1) implies:
% 84.12/12.33 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 84.12/12.33 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 84.12/12.33 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 84.12/12.33 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 84.12/12.33 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12,
% 84.12/12.33 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 84.12/12.33 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10)
% 84.12/12.33 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 84.12/12.33 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 84.12/12.33 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 84.12/12.33 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 84.12/12.33 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 84.12/12.33 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 84.12/12.33 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 84.12/12.33 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 84.12/12.33 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 84.12/12.33 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 84.12/12.33 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 84.12/12.33 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 84.12/12.33 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 84.12/12.33 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 84.12/12.33 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 84.12/12.33 |
% 84.12/12.33 | ALPHA: (ax2) implies:
% 84.12/12.33 | (2) op1(e10, unit1) = e10
% 84.12/12.33 | (3) op1(e11, unit1) = e11
% 84.12/12.33 | (4) op1(e12, unit1) = e12
% 84.12/12.33 | (5) op1(e13, unit1) = e13
% 84.12/12.33 | (6) op1(unit1, e10) = e10
% 84.12/12.33 | (7) op1(unit1, e12) = e12
% 84.12/12.33 | (8) op1(unit1, e13) = e13
% 84.12/12.33 | (9) unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 84.12/12.33 |
% 84.12/12.33 | ALPHA: (ax3) implies:
% 84.12/12.34 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 84.12/12.34 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 84.12/12.34 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 84.12/12.34 | $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 &
% 84.12/12.34 | op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 84.12/12.34 | op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 &
% 84.12/12.34 | op1(e11, e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 &
% 84.12/12.34 | op1(e11, e10) = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 &
% 84.12/12.34 | op1(e10, e11) = v1 & op1(e10, e10) = v0 & $i(v15) & $i(v14) &
% 84.12/12.34 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 84.12/12.34 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15
% 84.12/12.34 | = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 = e13
% 84.12/12.34 | | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 84.12/12.34 | e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11
% 84.12/12.34 | | v14 = e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9
% 84.12/12.34 | = e11 | v3 = e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10)
% 84.12/12.34 | & (v15 = e10 | v13 = e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 =
% 84.12/12.34 | e13 | v8 = e13 | v2 = e13) & (v14 = e12 | v12 = e12 | v8 = e12 |
% 84.12/12.34 | v2 = e12) & (v14 = e11 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 =
% 84.12/12.34 | e10 | v12 = e10 | v8 = e10 | v2 = e10) & (v13 = e13 | v12 = e13 |
% 84.12/12.34 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 | v10 = e12 | v5 =
% 84.12/12.34 | e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) & (v13 = e10
% 84.12/12.34 | | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 84.12/12.34 | = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12)
% 84.12/12.34 | & (v11 = e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 =
% 84.12/12.34 | e10 | v7 = e10 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4
% 84.12/12.34 | = e13) & (v9 = e12 | v8 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 |
% 84.12/12.34 | v8 = e11 | v7 = e11 | v4 = e11) & (v9 = e10 | v8 = e10 | v7 = e10
% 84.12/12.34 | | v4 = e10) & (v6 = e13 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 =
% 84.12/12.34 | e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11 | v5 = e11 | v4
% 84.12/12.34 | = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 = e13) &
% 84.12/12.34 | (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 |
% 84.12/12.34 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 =
% 84.12/12.34 | e10) & (v3 = e10 | v2 = e10 | v1 = e10))))
% 84.12/12.34 |
% 84.12/12.34 | ALPHA: (ax4) implies:
% 84.12/12.35 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 84.12/12.35 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 84.12/12.35 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 84.12/12.35 | $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 &
% 84.12/12.35 | op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 84.12/12.35 | op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 &
% 84.12/12.35 | op2(e21, e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 &
% 84.12/12.35 | op2(e21, e20) = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 &
% 84.12/12.35 | op2(e20, e21) = v1 & op2(e20, e20) = v0 & $i(v15) & $i(v14) &
% 84.12/12.35 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 84.12/12.35 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15
% 84.12/12.35 | = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14 =
% 84.12/12.35 | e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21
% 84.12/12.35 | | v13 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) &
% 84.12/12.35 | (v11 = e23 | v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 =
% 84.12/12.35 | e22 | v10 = e21 | v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 |
% 84.12/12.35 | v9 = e20) & (v8 = e23 | v8 = e22 | v8 = e21 | v8 = e20) & (v7 =
% 84.12/12.35 | e23 | v7 = e22 | v7 = e21 | v7 = e20) & (v6 = e23 | v6 = e22 | v6
% 84.12/12.35 | = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 = e21 | v5 = e20) &
% 84.12/12.35 | (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23 | v3 = e22 |
% 84.12/12.35 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 = e20)
% 84.12/12.35 | & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 84.12/12.35 | | v0 = e21 | v0 = e20))
% 84.12/12.35 |
% 84.12/12.35 | ALPHA: (ax5) implies:
% 84.12/12.35 | (12) op2(e21, unit2) = e21
% 84.12/12.35 | (13) op2(e22, unit2) = e22
% 84.12/12.35 | (14) op2(e23, unit2) = e23
% 84.12/12.35 | (15) op2(unit2, e20) = e20
% 84.12/12.35 | (16) op2(unit2, e22) = e22
% 84.12/12.35 | (17) op2(unit2, e23) = e23
% 84.12/12.35 | (18) unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 84.12/12.35 |
% 84.12/12.35 | ALPHA: (ax6) implies:
% 84.12/12.35 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 84.12/12.35 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 84.12/12.35 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 84.12/12.35 | $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 &
% 84.12/12.35 | op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 84.12/12.35 | op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 &
% 84.12/12.35 | op2(e21, e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 &
% 84.12/12.35 | op2(e21, e20) = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 &
% 84.12/12.35 | op2(e20, e21) = v1 & op2(e20, e20) = v0 & $i(v15) & $i(v14) &
% 84.12/12.35 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 84.12/12.35 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15
% 84.12/12.35 | = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 = e23
% 84.12/12.35 | | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 84.12/12.35 | e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21
% 84.12/12.35 | | v14 = e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9
% 84.12/12.35 | = e21 | v3 = e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20)
% 84.12/12.35 | & (v15 = e20 | v13 = e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 =
% 84.12/12.35 | e23 | v8 = e23 | v2 = e23) & (v14 = e22 | v12 = e22 | v8 = e22 |
% 84.12/12.35 | v2 = e22) & (v14 = e21 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 =
% 84.12/12.35 | e20 | v12 = e20 | v8 = e20 | v2 = e20) & (v13 = e23 | v12 = e23 |
% 84.12/12.35 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 | v10 = e22 | v5 =
% 84.12/12.35 | e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) & (v13 = e20
% 84.12/12.35 | | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 84.12/12.35 | = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22)
% 84.12/12.35 | & (v11 = e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 =
% 84.12/12.35 | e20 | v7 = e20 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4
% 84.12/12.35 | = e23) & (v9 = e22 | v8 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 |
% 84.12/12.35 | v8 = e21 | v7 = e21 | v4 = e21) & (v9 = e20 | v8 = e20 | v7 = e20
% 84.12/12.35 | | v4 = e20) & (v6 = e23 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 =
% 84.12/12.35 | e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21 | v5 = e21 | v4
% 84.12/12.35 | = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 = e23) &
% 84.12/12.35 | (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21 |
% 84.12/12.35 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 =
% 84.12/12.35 | e20) & (v3 = e20 | v2 = e20 | v1 = e20))))
% 84.12/12.35 |
% 84.12/12.35 | ALPHA: (ax7) implies:
% 84.12/12.36 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 84.12/12.36 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 84.12/12.36 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 84.12/12.36 | $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 =
% 84.12/12.36 | v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 84.12/12.36 | v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 =
% 84.12/12.36 | v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 =
% 84.12/12.36 | v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 =
% 84.12/12.36 | v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 =
% 84.12/12.36 | v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 =
% 84.12/12.36 | v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) &
% 84.12/12.36 | ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 =
% 84.12/12.36 | v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) &
% 84.12/12.36 | ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 =
% 84.12/12.36 | v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) =
% 84.12/12.36 | v15 & op1(e13, e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3
% 84.12/12.36 | & op1(e12, e13) = v14 & op1(e12, e12) = v10 & op1(e12, e11) = v6 &
% 84.12/12.36 | op1(e12, e10) = v2 & op1(e11, e13) = v13 & op1(e11, e12) = v9 &
% 84.12/12.36 | op1(e11, e11) = v5 & op1(e11, e10) = v1 & op1(e10, e13) = v12 &
% 84.12/12.36 | op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 &
% 84.12/12.36 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 84.12/12.36 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 84.12/12.36 | $i(v1) & $i(v0))
% 84.12/12.36 |
% 84.12/12.36 | ALPHA: (ax8) implies:
% 84.12/12.36 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 84.12/12.36 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 84.12/12.36 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 84.12/12.36 | $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 =
% 84.12/12.36 | v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 84.12/12.36 | v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 =
% 84.12/12.36 | v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 =
% 84.12/12.36 | v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 =
% 84.12/12.36 | v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 =
% 84.12/12.36 | v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 =
% 84.12/12.36 | v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) &
% 84.12/12.36 | ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 =
% 84.12/12.36 | v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) &
% 84.12/12.36 | ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 =
% 84.12/12.36 | v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) =
% 84.12/12.36 | v15 & op2(e23, e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3
% 84.12/12.36 | & op2(e22, e23) = v14 & op2(e22, e22) = v10 & op2(e22, e21) = v6 &
% 84.12/12.36 | op2(e22, e20) = v2 & op2(e21, e23) = v13 & op2(e21, e22) = v9 &
% 84.12/12.36 | op2(e21, e21) = v5 & op2(e21, e20) = v1 & op2(e20, e23) = v12 &
% 84.12/12.36 | op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20, e20) = v0 &
% 84.12/12.36 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 84.12/12.36 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 84.12/12.36 | $i(v1) & $i(v0))
% 84.12/12.36 |
% 84.12/12.36 | ALPHA: (ax10) implies:
% 84.12/12.36 | (22) ~ (e21 = e20)
% 84.12/12.36 | (23) ~ (e22 = e21)
% 84.12/12.36 | (24) ~ (e23 = e21)
% 84.12/12.36 |
% 84.12/12.36 | ALPHA: (ax12) implies:
% 84.12/12.36 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (op1(e13, e13)
% 84.12/12.36 | = v3 & op1(e12, e12) = v2 & op1(e11, e11) = v1 & op1(e10, e10) = v0
% 84.12/12.36 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 = e13) | ~ (v2 = e13)
% 84.12/12.36 | | ~ (v1 = e13) | ~ (v0 = e13)) & ( ~ (v3 = e12) | ~ (v2 = e12)
% 84.12/12.36 | | ~ (v1 = e12) | ~ (v0 = e12)) & ( ~ (v3 = e11) | ~ (v2 = e11)
% 84.12/12.36 | | ~ (v1 = e11) | ~ (v0 = e11)) & ( ~ (v3 = e10) | ~ (v2 = e10)
% 84.12/12.36 | | ~ (v1 = e10) | ~ (v0 = e10)))
% 84.12/12.36 |
% 84.12/12.36 | ALPHA: (ax13) implies:
% 84.12/12.37 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (op2(e23, e23)
% 84.12/12.37 | = v3 & op2(e22, e22) = v2 & op2(e21, e21) = v1 & op2(e20, e20) = v0
% 84.12/12.37 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 = e23) | ~ (v2 = e23)
% 84.12/12.37 | | ~ (v1 = e23) | ~ (v0 = e23)) & ( ~ (v3 = e22) | ~ (v2 = e22)
% 84.12/12.37 | | ~ (v1 = e22) | ~ (v0 = e22)) & ( ~ (v3 = e21) | ~ (v2 = e21)
% 84.12/12.37 | | ~ (v1 = e21) | ~ (v0 = e21)) & ( ~ (v3 = e20) | ~ (v2 = e20)
% 84.12/12.37 | | ~ (v1 = e20) | ~ (v0 = e20)))
% 84.12/12.37 |
% 84.12/12.37 | ALPHA: (ax14) implies:
% 84.12/12.37 | (27) op1(e11, e11) = e13
% 84.12/12.37 | (28) op1(e11, e12) = e10
% 84.12/12.37 | (29) op1(e11, e13) = e12
% 84.12/12.37 |
% 84.12/12.37 | ALPHA: (ax15) implies:
% 84.12/12.37 | (30) op2(e21, e21) = e23
% 84.12/12.37 | (31) op2(e21, e22) = e20
% 84.12/12.37 | (32) op2(e21, e23) = e22
% 84.12/12.37 |
% 84.12/12.37 | ALPHA: (ax16) implies:
% 84.12/12.37 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = v1 & h1(e12) = v2
% 84.12/12.37 | & h1(e11) = e20 & h1(e10) = v0 & op2(e20, v2) = v0 & op2(e20, v1) =
% 84.12/12.37 | v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0))
% 84.12/12.37 |
% 84.12/12.37 | ALPHA: (ax17) implies:
% 84.12/12.37 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = v1 & h2(e12) = v2
% 84.12/12.37 | & h2(e11) = e21 & h2(e10) = v0 & op2(e21, v2) = v0 & op2(e21, v1) =
% 84.12/12.37 | v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0))
% 84.12/12.37 |
% 84.12/12.37 | ALPHA: (ax18) implies:
% 84.44/12.37 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = v1 & h3(e12) = v2
% 84.44/12.37 | & h3(e11) = e22 & h3(e10) = v0 & op2(e22, v2) = v0 & op2(e22, v1) =
% 84.44/12.37 | v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0))
% 84.44/12.37 |
% 84.44/12.37 | ALPHA: (ax19) implies:
% 84.44/12.37 | (36) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = v1 & h4(e12) = v2
% 84.44/12.37 | & h4(e11) = e23 & h4(e10) = v0 & op2(e23, v2) = v0 & op2(e23, v1) =
% 84.44/12.37 | v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0))
% 84.44/12.37 |
% 84.44/12.37 | ALPHA: (co1) implies:
% 84.44/12.38 | (37) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 84.44/12.38 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 84.44/12.38 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 84.44/12.38 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 84.44/12.38 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 84.44/12.38 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 84.44/12.38 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 84.44/12.38 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 84.44/12.38 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 84.44/12.38 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 84.44/12.38 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 84.44/12.38 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 84.44/12.38 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 84.44/12.38 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 84.44/12.38 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 84.44/12.38 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 84.44/12.38 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 84.44/12.38 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 84.44/12.38 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 84.44/12.38 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 84.44/12.38 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 84.44/12.38 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 84.44/12.38 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 84.44/12.38 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 84.44/12.38 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 84.44/12.38 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 84.44/12.38 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 84.44/12.38 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 84.44/12.38 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 84.44/12.38 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 84.44/12.38 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 84.44/12.38 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 84.44/12.38 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 84.44/12.38 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 84.44/12.38 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 84.44/12.38 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 &
% 84.44/12.38 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 84.44/12.38 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 &
% 84.44/12.38 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 &
% 84.44/12.38 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 &
% 84.44/12.38 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 &
% 84.44/12.38 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 &
% 84.44/12.38 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 &
% 84.44/12.38 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 &
% 84.44/12.38 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 &
% 84.44/12.38 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 &
% 84.44/12.38 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 &
% 84.44/12.38 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 &
% 84.44/12.38 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0)
% 84.44/12.38 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) =
% 84.44/12.38 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41
% 84.44/12.38 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 &
% 84.44/12.38 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 &
% 84.44/12.38 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) =
% 84.44/12.38 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134)
% 84.44/12.38 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 84.44/12.38 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 &
% 84.44/12.38 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) =
% 84.44/12.38 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128,
% 84.44/12.38 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 &
% 84.44/12.38 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) =
% 84.44/12.38 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) =
% 84.44/12.38 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) =
% 84.44/12.38 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) =
% 84.44/12.38 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) =
% 84.44/12.38 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) =
% 84.44/12.38 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 84.44/12.38 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) =
% 84.44/12.38 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) =
% 84.44/12.38 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) =
% 84.44/12.38 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) =
% 84.44/12.38 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) =
% 84.44/12.38 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39
% 84.44/12.38 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 &
% 84.44/12.38 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 &
% 84.44/12.38 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 84.44/12.38 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13,
% 84.44/12.38 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12,
% 84.44/12.38 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12,
% 84.44/12.38 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11,
% 84.44/12.38 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10,
% 84.44/12.38 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) &
% 84.44/12.38 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 84.44/12.38 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) &
% 84.44/12.38 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 84.44/12.38 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) &
% 84.44/12.38 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) &
% 84.44/12.38 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 84.44/12.38 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) &
% 84.44/12.38 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 84.44/12.38 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) &
% 84.44/12.38 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 84.44/12.38 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92)
% 84.44/12.38 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) &
% 84.44/12.38 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79)
% 84.44/12.38 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 84.44/12.38 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66)
% 84.44/12.38 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 84.44/12.38 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53)
% 84.44/12.38 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 84.44/12.38 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40)
% 84.44/12.38 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 84.44/12.38 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 84.44/12.38 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 84.44/12.38 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 84.44/12.38 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 84.44/12.38 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 84.44/12.38 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 =
% 84.44/12.38 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) |
% 84.44/12.38 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139
% 84.44/12.38 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130)
% 84.44/12.38 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~
% 84.44/12.38 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 =
% 84.44/12.38 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) |
% 84.44/12.38 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 =
% 84.44/12.38 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) &
% 84.44/12.38 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~
% 84.44/12.38 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 =
% 84.44/12.38 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) |
% 84.44/12.38 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 =
% 84.44/12.38 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~
% 84.44/12.38 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23))
% 84.44/12.38 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 84.44/12.38 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~
% 84.44/12.38 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20)
% 84.44/12.38 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83
% 84.44/12.38 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~
% 84.44/12.38 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) |
% 84.44/12.38 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) |
% 84.44/12.38 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23)
% 84.44/12.38 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 =
% 84.44/12.38 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~
% 84.44/12.38 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20)
% 84.44/12.38 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 84.44/12.38 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~
% 84.44/12.38 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) |
% 84.44/12.38 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) |
% 84.44/12.38 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~
% 84.44/12.38 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) |
% 84.44/12.38 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22))
% 84.44/12.38 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 =
% 84.44/12.38 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~
% 84.44/12.38 | (v2 = e20))))
% 84.44/12.38 |
% 84.44/12.38 | ALPHA: (function-axioms) implies:
% 84.44/12.39 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 84.44/12.39 | | ~ (h1(v2) = v0))
% 84.44/12.39 | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 84.44/12.39 | | ~ (h2(v2) = v0))
% 84.44/12.39 | (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 84.44/12.39 | | ~ (h3(v2) = v0))
% 84.44/12.39 | (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 84.44/12.39 | | ~ (h4(v2) = v0))
% 84.44/12.39 | (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 84.44/12.39 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 84.44/12.39 | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 84.44/12.39 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 84.44/12.39 |
% 84.44/12.39 | DELTA: instantiating (33) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 84.44/12.39 | (44) h1(e13) = all_4_1 & h1(e12) = all_4_0 & h1(e11) = e20 & h1(e10) =
% 84.44/12.39 | all_4_2 & op2(e20, all_4_0) = all_4_2 & op2(e20, all_4_1) = all_4_0 &
% 84.44/12.39 | op2(e20, e20) = all_4_1 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2)
% 84.44/12.39 |
% 84.44/12.39 | ALPHA: (44) implies:
% 84.44/12.39 | (45) op2(e20, e20) = all_4_1
% 84.44/12.39 | (46) op2(e20, all_4_1) = all_4_0
% 84.44/12.39 | (47) op2(e20, all_4_0) = all_4_2
% 84.44/12.39 | (48) h1(e10) = all_4_2
% 84.44/12.39 | (49) h1(e11) = e20
% 84.44/12.39 | (50) h1(e12) = all_4_0
% 84.44/12.39 | (51) h1(e13) = all_4_1
% 84.44/12.39 |
% 84.44/12.39 | DELTA: instantiating (35) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 84.44/12.39 | (52) h3(e13) = all_6_1 & h3(e12) = all_6_0 & h3(e11) = e22 & h3(e10) =
% 84.44/12.39 | all_6_2 & op2(e22, all_6_0) = all_6_2 & op2(e22, all_6_1) = all_6_0 &
% 84.44/12.39 | op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2)
% 84.44/12.39 |
% 84.44/12.39 | ALPHA: (52) implies:
% 84.44/12.39 | (53) op2(e22, e22) = all_6_1
% 84.44/12.39 | (54) op2(e22, all_6_1) = all_6_0
% 84.44/12.39 | (55) op2(e22, all_6_0) = all_6_2
% 84.44/12.39 | (56) h3(e10) = all_6_2
% 84.44/12.39 | (57) h3(e11) = e22
% 84.44/12.39 | (58) h3(e12) = all_6_0
% 84.44/12.39 | (59) h3(e13) = all_6_1
% 84.44/12.39 |
% 84.44/12.39 | DELTA: instantiating (36) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 84.44/12.39 | (60) h4(e13) = all_8_1 & h4(e12) = all_8_0 & h4(e11) = e23 & h4(e10) =
% 84.44/12.39 | all_8_2 & op2(e23, all_8_0) = all_8_2 & op2(e23, all_8_1) = all_8_0 &
% 84.44/12.39 | op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2)
% 84.44/12.39 |
% 84.44/12.39 | ALPHA: (60) implies:
% 84.44/12.39 | (61) op2(e23, e23) = all_8_1
% 84.44/12.39 | (62) op2(e23, all_8_1) = all_8_0
% 84.44/12.39 | (63) op2(e23, all_8_0) = all_8_2
% 84.44/12.39 | (64) h4(e10) = all_8_2
% 84.44/12.39 | (65) h4(e11) = e23
% 84.44/12.39 | (66) h4(e12) = all_8_0
% 84.44/12.39 | (67) h4(e13) = all_8_1
% 84.44/12.39 |
% 84.44/12.39 | DELTA: instantiating (34) with fresh symbols all_10_0, all_10_1, all_10_2
% 84.44/12.39 | gives:
% 84.44/12.39 | (68) h2(e13) = all_10_1 & h2(e12) = all_10_0 & h2(e11) = e21 & h2(e10) =
% 84.44/12.39 | all_10_2 & op2(e21, all_10_0) = all_10_2 & op2(e21, all_10_1) =
% 84.44/12.39 | all_10_0 & op2(e21, e21) = all_10_1 & $i(all_10_0) & $i(all_10_1) &
% 84.44/12.39 | $i(all_10_2)
% 84.44/12.39 |
% 84.44/12.39 | ALPHA: (68) implies:
% 84.44/12.39 | (69) op2(e21, e21) = all_10_1
% 84.44/12.39 | (70) op2(e21, all_10_1) = all_10_0
% 84.44/12.39 | (71) op2(e21, all_10_0) = all_10_2
% 84.44/12.39 | (72) h2(e10) = all_10_2
% 84.44/12.39 | (73) h2(e11) = e21
% 84.44/12.39 | (74) h2(e12) = all_10_0
% 84.44/12.39 | (75) h2(e13) = all_10_1
% 84.44/12.39 |
% 84.44/12.39 | DELTA: instantiating (26) with fresh symbols all_12_0, all_12_1, all_12_2,
% 84.44/12.39 | all_12_3 gives:
% 84.44/12.39 | (76) op2(e23, e23) = all_12_0 & op2(e22, e22) = all_12_1 & op2(e21, e21) =
% 84.44/12.39 | all_12_2 & op2(e20, e20) = all_12_3 & $i(all_12_0) & $i(all_12_1) &
% 84.44/12.39 | $i(all_12_2) & $i(all_12_3) & ( ~ (all_12_0 = e23) | ~ (all_12_1 =
% 84.44/12.39 | e23) | ~ (all_12_2 = e23) | ~ (all_12_3 = e23)) & ( ~ (all_12_0
% 84.44/12.39 | = e22) | ~ (all_12_1 = e22) | ~ (all_12_2 = e22) | ~ (all_12_3
% 84.44/12.39 | = e22)) & ( ~ (all_12_0 = e21) | ~ (all_12_1 = e21) | ~
% 84.44/12.39 | (all_12_2 = e21) | ~ (all_12_3 = e21)) & ( ~ (all_12_0 = e20) | ~
% 84.44/12.39 | (all_12_1 = e20) | ~ (all_12_2 = e20) | ~ (all_12_3 = e20))
% 84.44/12.39 |
% 84.44/12.39 | ALPHA: (76) implies:
% 84.44/12.39 | (77) op2(e20, e20) = all_12_3
% 84.44/12.39 | (78) op2(e21, e21) = all_12_2
% 84.44/12.39 | (79) op2(e22, e22) = all_12_1
% 84.44/12.40 | (80) op2(e23, e23) = all_12_0
% 84.44/12.40 | (81) ~ (all_12_0 = e23) | ~ (all_12_1 = e23) | ~ (all_12_2 = e23) | ~
% 84.44/12.40 | (all_12_3 = e23)
% 84.44/12.40 |
% 84.44/12.40 | DELTA: instantiating (25) with fresh symbols all_14_0, all_14_1, all_14_2,
% 84.44/12.40 | all_14_3 gives:
% 84.44/12.40 | (82) op1(e13, e13) = all_14_0 & op1(e12, e12) = all_14_1 & op1(e11, e11) =
% 84.44/12.40 | all_14_2 & op1(e10, e10) = all_14_3 & $i(all_14_0) & $i(all_14_1) &
% 84.44/12.40 | $i(all_14_2) & $i(all_14_3) & ( ~ (all_14_0 = e13) | ~ (all_14_1 =
% 84.44/12.40 | e13) | ~ (all_14_2 = e13) | ~ (all_14_3 = e13)) & ( ~ (all_14_0
% 84.44/12.40 | = e12) | ~ (all_14_1 = e12) | ~ (all_14_2 = e12) | ~ (all_14_3
% 84.44/12.40 | = e12)) & ( ~ (all_14_0 = e11) | ~ (all_14_1 = e11) | ~
% 84.44/12.40 | (all_14_2 = e11) | ~ (all_14_3 = e11)) & ( ~ (all_14_0 = e10) | ~
% 84.44/12.40 | (all_14_1 = e10) | ~ (all_14_2 = e10) | ~ (all_14_3 = e10))
% 84.44/12.40 |
% 84.44/12.40 | ALPHA: (82) implies:
% 84.44/12.40 | (83) op1(e10, e10) = all_14_3
% 84.44/12.40 | (84) op1(e11, e11) = all_14_2
% 84.44/12.40 | (85) op1(e12, e12) = all_14_1
% 84.44/12.40 | (86) op1(e13, e13) = all_14_0
% 84.44/12.40 | (87) ~ (all_14_0 = e13) | ~ (all_14_1 = e13) | ~ (all_14_2 = e13) | ~
% 84.44/12.40 | (all_14_3 = e13)
% 84.44/12.40 |
% 84.44/12.40 | DELTA: instantiating (21) with fresh symbols all_16_0, all_16_1, all_16_2,
% 84.44/12.40 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 84.44/12.40 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives:
% 84.44/12.40 | (88) ~ (all_16_0 = all_16_1) & ~ (all_16_0 = all_16_2) & ~ (all_16_0 =
% 84.44/12.40 | all_16_3) & ~ (all_16_0 = all_16_4) & ~ (all_16_0 = all_16_8) & ~
% 84.44/12.40 | (all_16_0 = all_16_12) & ~ (all_16_1 = all_16_2) & ~ (all_16_1 =
% 84.44/12.40 | all_16_3) & ~ (all_16_1 = all_16_5) & ~ (all_16_1 = all_16_9) & ~
% 84.44/12.40 | (all_16_1 = all_16_13) & ~ (all_16_2 = all_16_3) & ~ (all_16_2 =
% 84.44/12.40 | all_16_6) & ~ (all_16_2 = all_16_10) & ~ (all_16_2 = all_16_14) &
% 84.44/12.40 | ~ (all_16_3 = all_16_7) & ~ (all_16_3 = all_16_11) & ~ (all_16_3 =
% 84.44/12.40 | all_16_15) & ~ (all_16_4 = all_16_5) & ~ (all_16_4 = all_16_6) &
% 84.44/12.40 | ~ (all_16_4 = all_16_7) & ~ (all_16_4 = all_16_8) & ~ (all_16_4 =
% 84.44/12.40 | all_16_12) & ~ (all_16_5 = all_16_6) & ~ (all_16_5 = all_16_7) &
% 84.44/12.40 | ~ (all_16_5 = all_16_9) & ~ (all_16_5 = all_16_13) & ~ (all_16_6 =
% 84.44/12.40 | all_16_7) & ~ (all_16_6 = all_16_10) & ~ (all_16_6 = all_16_14) &
% 84.44/12.40 | ~ (all_16_7 = all_16_11) & ~ (all_16_7 = all_16_15) & ~ (all_16_8 =
% 84.44/12.40 | all_16_9) & ~ (all_16_8 = all_16_10) & ~ (all_16_8 = all_16_11) &
% 84.44/12.40 | ~ (all_16_8 = all_16_12) & ~ (all_16_9 = all_16_10) & ~ (all_16_9 =
% 84.44/12.40 | all_16_11) & ~ (all_16_9 = all_16_13) & ~ (all_16_10 = all_16_11)
% 84.44/12.40 | & ~ (all_16_10 = all_16_14) & ~ (all_16_11 = all_16_15) & ~
% 84.44/12.40 | (all_16_12 = all_16_13) & ~ (all_16_12 = all_16_14) & ~ (all_16_12 =
% 84.44/12.40 | all_16_15) & ~ (all_16_13 = all_16_14) & ~ (all_16_13 = all_16_15)
% 84.44/12.40 | & ~ (all_16_14 = all_16_15) & op2(e23, e23) = all_16_0 & op2(e23,
% 84.44/12.40 | e22) = all_16_4 & op2(e23, e21) = all_16_8 & op2(e23, e20) =
% 84.44/12.40 | all_16_12 & op2(e22, e23) = all_16_1 & op2(e22, e22) = all_16_5 &
% 84.44/12.40 | op2(e22, e21) = all_16_9 & op2(e22, e20) = all_16_13 & op2(e21, e23) =
% 84.44/12.40 | all_16_2 & op2(e21, e22) = all_16_6 & op2(e21, e21) = all_16_10 &
% 84.44/12.40 | op2(e21, e20) = all_16_14 & op2(e20, e23) = all_16_3 & op2(e20, e22) =
% 84.44/12.40 | all_16_7 & op2(e20, e21) = all_16_11 & op2(e20, e20) = all_16_15 &
% 84.44/12.40 | $i(all_16_0) & $i(all_16_1) & $i(all_16_2) & $i(all_16_3) &
% 84.44/12.40 | $i(all_16_4) & $i(all_16_5) & $i(all_16_6) & $i(all_16_7) &
% 84.44/12.40 | $i(all_16_8) & $i(all_16_9) & $i(all_16_10) & $i(all_16_11) &
% 84.44/12.40 | $i(all_16_12) & $i(all_16_13) & $i(all_16_14) & $i(all_16_15)
% 84.44/12.40 |
% 84.44/12.40 | ALPHA: (88) implies:
% 84.44/12.40 | (89) ~ (all_16_14 = all_16_15)
% 84.44/12.40 | (90) ~ (all_16_13 = all_16_15)
% 84.44/12.40 | (91) ~ (all_16_13 = all_16_14)
% 84.44/12.40 | (92) ~ (all_16_12 = all_16_15)
% 84.44/12.40 | (93) ~ (all_16_12 = all_16_14)
% 84.44/12.40 | (94) ~ (all_16_12 = all_16_13)
% 84.44/12.40 | (95) ~ (all_16_11 = all_16_15)
% 84.44/12.40 | (96) ~ (all_16_10 = all_16_11)
% 84.44/12.40 | (97) ~ (all_16_9 = all_16_13)
% 84.44/12.40 | (98) ~ (all_16_9 = all_16_11)
% 84.44/12.40 | (99) ~ (all_16_9 = all_16_10)
% 84.44/12.40 | (100) ~ (all_16_8 = all_16_12)
% 84.44/12.40 | (101) ~ (all_16_8 = all_16_11)
% 84.44/12.40 | (102) ~ (all_16_8 = all_16_10)
% 84.44/12.40 | (103) ~ (all_16_8 = all_16_9)
% 84.44/12.40 | (104) ~ (all_16_7 = all_16_15)
% 84.44/12.40 | (105) ~ (all_16_7 = all_16_11)
% 84.44/12.40 | (106) ~ (all_16_6 = all_16_14)
% 84.44/12.40 | (107) ~ (all_16_6 = all_16_7)
% 84.44/12.40 | (108) ~ (all_16_5 = all_16_13)
% 84.44/12.40 | (109) ~ (all_16_5 = all_16_9)
% 84.44/12.40 | (110) ~ (all_16_5 = all_16_7)
% 84.44/12.40 | (111) ~ (all_16_5 = all_16_6)
% 84.44/12.40 | (112) ~ (all_16_4 = all_16_12)
% 84.44/12.40 | (113) ~ (all_16_4 = all_16_8)
% 84.44/12.40 | (114) ~ (all_16_4 = all_16_7)
% 84.44/12.40 | (115) ~ (all_16_4 = all_16_6)
% 84.44/12.40 | (116) ~ (all_16_4 = all_16_5)
% 84.44/12.40 | (117) ~ (all_16_3 = all_16_15)
% 84.44/12.40 | (118) ~ (all_16_3 = all_16_11)
% 84.44/12.40 | (119) ~ (all_16_3 = all_16_7)
% 84.44/12.40 | (120) ~ (all_16_2 = all_16_14)
% 84.44/12.40 | (121) ~ (all_16_2 = all_16_10)
% 84.44/12.40 | (122) ~ (all_16_2 = all_16_6)
% 84.44/12.40 | (123) ~ (all_16_2 = all_16_3)
% 84.44/12.40 | (124) ~ (all_16_1 = all_16_13)
% 84.44/12.40 | (125) ~ (all_16_1 = all_16_9)
% 84.44/12.40 | (126) ~ (all_16_1 = all_16_5)
% 84.44/12.40 | (127) ~ (all_16_1 = all_16_3)
% 84.44/12.40 | (128) ~ (all_16_1 = all_16_2)
% 84.44/12.40 | (129) ~ (all_16_0 = all_16_12)
% 84.44/12.40 | (130) ~ (all_16_0 = all_16_8)
% 84.44/12.40 | (131) ~ (all_16_0 = all_16_4)
% 84.44/12.40 | (132) ~ (all_16_0 = all_16_3)
% 84.44/12.40 | (133) ~ (all_16_0 = all_16_2)
% 84.44/12.40 | (134) ~ (all_16_0 = all_16_1)
% 84.44/12.40 | (135) op2(e20, e20) = all_16_15
% 84.44/12.40 | (136) op2(e20, e21) = all_16_11
% 84.44/12.40 | (137) op2(e20, e22) = all_16_7
% 84.44/12.40 | (138) op2(e20, e23) = all_16_3
% 84.44/12.40 | (139) op2(e21, e20) = all_16_14
% 84.44/12.40 | (140) op2(e21, e21) = all_16_10
% 84.44/12.40 | (141) op2(e21, e22) = all_16_6
% 84.44/12.40 | (142) op2(e21, e23) = all_16_2
% 84.44/12.40 | (143) op2(e22, e20) = all_16_13
% 84.44/12.40 | (144) op2(e22, e21) = all_16_9
% 84.44/12.40 | (145) op2(e22, e22) = all_16_5
% 84.44/12.40 | (146) op2(e22, e23) = all_16_1
% 84.44/12.41 | (147) op2(e23, e20) = all_16_12
% 84.44/12.41 | (148) op2(e23, e21) = all_16_8
% 84.44/12.41 | (149) op2(e23, e22) = all_16_4
% 84.44/12.41 | (150) op2(e23, e23) = all_16_0
% 84.44/12.41 |
% 84.44/12.41 | DELTA: instantiating (20) with fresh symbols all_18_0, all_18_1, all_18_2,
% 84.44/12.41 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 84.44/12.41 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives:
% 84.44/12.41 | (151) ~ (all_18_0 = all_18_1) & ~ (all_18_0 = all_18_2) & ~ (all_18_0 =
% 84.44/12.41 | all_18_3) & ~ (all_18_0 = all_18_4) & ~ (all_18_0 = all_18_8) &
% 84.44/12.41 | ~ (all_18_0 = all_18_12) & ~ (all_18_1 = all_18_2) & ~ (all_18_1 =
% 84.44/12.41 | all_18_3) & ~ (all_18_1 = all_18_5) & ~ (all_18_1 = all_18_9) &
% 84.44/12.41 | ~ (all_18_1 = all_18_13) & ~ (all_18_2 = all_18_3) & ~ (all_18_2 =
% 84.44/12.41 | all_18_6) & ~ (all_18_2 = all_18_10) & ~ (all_18_2 = all_18_14) &
% 84.44/12.41 | ~ (all_18_3 = all_18_7) & ~ (all_18_3 = all_18_11) & ~ (all_18_3 =
% 84.44/12.41 | all_18_15) & ~ (all_18_4 = all_18_5) & ~ (all_18_4 = all_18_6) &
% 84.44/12.41 | ~ (all_18_4 = all_18_7) & ~ (all_18_4 = all_18_8) & ~ (all_18_4 =
% 84.44/12.41 | all_18_12) & ~ (all_18_5 = all_18_6) & ~ (all_18_5 = all_18_7) &
% 84.44/12.41 | ~ (all_18_5 = all_18_9) & ~ (all_18_5 = all_18_13) & ~ (all_18_6 =
% 84.44/12.41 | all_18_7) & ~ (all_18_6 = all_18_10) & ~ (all_18_6 = all_18_14) &
% 84.44/12.41 | ~ (all_18_7 = all_18_11) & ~ (all_18_7 = all_18_15) & ~ (all_18_8
% 84.44/12.41 | = all_18_9) & ~ (all_18_8 = all_18_10) & ~ (all_18_8 = all_18_11)
% 84.44/12.41 | & ~ (all_18_8 = all_18_12) & ~ (all_18_9 = all_18_10) & ~
% 84.44/12.41 | (all_18_9 = all_18_11) & ~ (all_18_9 = all_18_13) & ~ (all_18_10 =
% 84.44/12.41 | all_18_11) & ~ (all_18_10 = all_18_14) & ~ (all_18_11 =
% 84.44/12.41 | all_18_15) & ~ (all_18_12 = all_18_13) & ~ (all_18_12 =
% 84.44/12.41 | all_18_14) & ~ (all_18_12 = all_18_15) & ~ (all_18_13 =
% 84.44/12.41 | all_18_14) & ~ (all_18_13 = all_18_15) & ~ (all_18_14 =
% 84.44/12.41 | all_18_15) & op1(e13, e13) = all_18_0 & op1(e13, e12) = all_18_4 &
% 84.44/12.41 | op1(e13, e11) = all_18_8 & op1(e13, e10) = all_18_12 & op1(e12, e13)
% 84.44/12.41 | = all_18_1 & op1(e12, e12) = all_18_5 & op1(e12, e11) = all_18_9 &
% 84.44/12.41 | op1(e12, e10) = all_18_13 & op1(e11, e13) = all_18_2 & op1(e11, e12)
% 84.44/12.41 | = all_18_6 & op1(e11, e11) = all_18_10 & op1(e11, e10) = all_18_14 &
% 84.44/12.41 | op1(e10, e13) = all_18_3 & op1(e10, e12) = all_18_7 & op1(e10, e11) =
% 84.44/12.41 | all_18_11 & op1(e10, e10) = all_18_15 & $i(all_18_0) & $i(all_18_1) &
% 84.44/12.41 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) &
% 84.44/12.41 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) &
% 84.44/12.41 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) &
% 84.44/12.41 | $i(all_18_14) & $i(all_18_15)
% 84.44/12.41 |
% 84.44/12.41 | ALPHA: (151) implies:
% 84.44/12.41 | (152) ~ (all_18_14 = all_18_15)
% 84.44/12.41 | (153) ~ (all_18_13 = all_18_15)
% 84.44/12.41 | (154) ~ (all_18_13 = all_18_14)
% 84.44/12.41 | (155) ~ (all_18_12 = all_18_15)
% 84.44/12.41 | (156) ~ (all_18_12 = all_18_14)
% 84.44/12.41 | (157) ~ (all_18_12 = all_18_13)
% 84.44/12.41 | (158) ~ (all_18_11 = all_18_15)
% 84.44/12.41 | (159) ~ (all_18_10 = all_18_14)
% 84.44/12.41 | (160) ~ (all_18_10 = all_18_11)
% 84.44/12.41 | (161) ~ (all_18_9 = all_18_13)
% 84.44/12.41 | (162) ~ (all_18_9 = all_18_11)
% 84.44/12.41 | (163) ~ (all_18_9 = all_18_10)
% 84.44/12.41 | (164) ~ (all_18_8 = all_18_12)
% 84.44/12.41 | (165) ~ (all_18_8 = all_18_11)
% 84.44/12.41 | (166) ~ (all_18_8 = all_18_10)
% 84.44/12.41 | (167) ~ (all_18_8 = all_18_9)
% 84.44/12.41 | (168) ~ (all_18_7 = all_18_15)
% 84.44/12.41 | (169) ~ (all_18_7 = all_18_11)
% 84.44/12.41 | (170) ~ (all_18_6 = all_18_14)
% 84.44/12.41 | (171) ~ (all_18_6 = all_18_10)
% 84.44/12.41 | (172) ~ (all_18_6 = all_18_7)
% 84.44/12.41 | (173) ~ (all_18_5 = all_18_13)
% 84.44/12.41 | (174) ~ (all_18_5 = all_18_9)
% 84.44/12.41 | (175) ~ (all_18_5 = all_18_7)
% 84.44/12.41 | (176) ~ (all_18_5 = all_18_6)
% 84.44/12.41 | (177) ~ (all_18_4 = all_18_12)
% 84.44/12.41 | (178) ~ (all_18_4 = all_18_8)
% 84.44/12.41 | (179) ~ (all_18_4 = all_18_7)
% 84.44/12.41 | (180) ~ (all_18_4 = all_18_6)
% 84.44/12.41 | (181) ~ (all_18_4 = all_18_5)
% 84.44/12.41 | (182) ~ (all_18_3 = all_18_15)
% 84.44/12.41 | (183) ~ (all_18_3 = all_18_11)
% 84.44/12.41 | (184) ~ (all_18_3 = all_18_7)
% 84.44/12.41 | (185) ~ (all_18_2 = all_18_14)
% 84.44/12.41 | (186) ~ (all_18_2 = all_18_10)
% 84.44/12.41 | (187) ~ (all_18_2 = all_18_6)
% 84.44/12.41 | (188) ~ (all_18_2 = all_18_3)
% 84.44/12.41 | (189) ~ (all_18_1 = all_18_13)
% 84.44/12.41 | (190) ~ (all_18_1 = all_18_9)
% 84.44/12.41 | (191) ~ (all_18_1 = all_18_5)
% 84.44/12.41 | (192) ~ (all_18_1 = all_18_3)
% 84.44/12.41 | (193) ~ (all_18_1 = all_18_2)
% 84.44/12.41 | (194) ~ (all_18_0 = all_18_12)
% 84.44/12.41 | (195) ~ (all_18_0 = all_18_8)
% 84.44/12.41 | (196) ~ (all_18_0 = all_18_4)
% 84.44/12.41 | (197) ~ (all_18_0 = all_18_3)
% 84.44/12.41 | (198) ~ (all_18_0 = all_18_2)
% 84.44/12.41 | (199) ~ (all_18_0 = all_18_1)
% 84.44/12.41 | (200) op1(e10, e10) = all_18_15
% 84.44/12.41 | (201) op1(e10, e11) = all_18_11
% 84.44/12.41 | (202) op1(e10, e12) = all_18_7
% 84.44/12.41 | (203) op1(e10, e13) = all_18_3
% 84.44/12.41 | (204) op1(e11, e10) = all_18_14
% 84.44/12.41 | (205) op1(e11, e11) = all_18_10
% 84.44/12.41 | (206) op1(e11, e12) = all_18_6
% 84.44/12.41 | (207) op1(e11, e13) = all_18_2
% 84.44/12.41 | (208) op1(e12, e10) = all_18_13
% 84.44/12.41 | (209) op1(e12, e11) = all_18_9
% 84.44/12.41 | (210) op1(e12, e12) = all_18_5
% 84.44/12.41 | (211) op1(e12, e13) = all_18_1
% 84.44/12.41 | (212) op1(e13, e10) = all_18_12
% 84.44/12.41 | (213) op1(e13, e11) = all_18_8
% 84.44/12.41 | (214) op1(e13, e12) = all_18_4
% 84.44/12.41 | (215) op1(e13, e13) = all_18_0
% 84.44/12.41 |
% 84.44/12.41 | DELTA: instantiating (11) with fresh symbols all_20_0, all_20_1, all_20_2,
% 84.44/12.41 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 84.44/12.41 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives:
% 84.44/12.42 | (216) op2(e23, e23) = all_20_0 & op2(e23, e22) = all_20_1 & op2(e23, e21) =
% 84.44/12.42 | all_20_2 & op2(e23, e20) = all_20_3 & op2(e22, e23) = all_20_4 &
% 84.44/12.42 | op2(e22, e22) = all_20_5 & op2(e22, e21) = all_20_6 & op2(e22, e20) =
% 84.44/12.42 | all_20_7 & op2(e21, e23) = all_20_8 & op2(e21, e22) = all_20_9 &
% 84.44/12.42 | op2(e21, e21) = all_20_10 & op2(e21, e20) = all_20_11 & op2(e20, e23)
% 84.44/12.42 | = all_20_12 & op2(e20, e22) = all_20_13 & op2(e20, e21) = all_20_14 &
% 84.44/12.42 | op2(e20, e20) = all_20_15 & $i(all_20_0) & $i(all_20_1) &
% 84.44/12.42 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) &
% 84.44/12.42 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) &
% 84.44/12.42 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) &
% 84.44/12.42 | $i(all_20_14) & $i(all_20_15) & (all_20_0 = e23 | all_20_0 = e22 |
% 84.44/12.42 | all_20_0 = e21 | all_20_0 = e20) & (all_20_1 = e23 | all_20_1 = e22
% 84.44/12.42 | | all_20_1 = e21 | all_20_1 = e20) & (all_20_2 = e23 | all_20_2 =
% 84.44/12.42 | e22 | all_20_2 = e21 | all_20_2 = e20) & (all_20_3 = e23 | all_20_3
% 84.44/12.42 | = e22 | all_20_3 = e21 | all_20_3 = e20) & (all_20_4 = e23 |
% 84.44/12.42 | all_20_4 = e22 | all_20_4 = e21 | all_20_4 = e20) & (all_20_5 = e23
% 84.44/12.42 | | all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20) & (all_20_6 =
% 84.44/12.42 | e23 | all_20_6 = e22 | all_20_6 = e21 | all_20_6 = e20) & (all_20_7
% 84.44/12.42 | = e23 | all_20_7 = e22 | all_20_7 = e21 | all_20_7 = e20) &
% 84.44/12.42 | (all_20_8 = e23 | all_20_8 = e22 | all_20_8 = e21 | all_20_8 = e20) &
% 84.44/12.42 | (all_20_9 = e23 | all_20_9 = e22 | all_20_9 = e21 | all_20_9 = e20) &
% 84.44/12.42 | (all_20_10 = e23 | all_20_10 = e22 | all_20_10 = e21 | all_20_10 =
% 84.44/12.42 | e20) & (all_20_11 = e23 | all_20_11 = e22 | all_20_11 = e21 |
% 84.44/12.42 | all_20_11 = e20) & (all_20_12 = e23 | all_20_12 = e22 | all_20_12 =
% 84.44/12.42 | e21 | all_20_12 = e20) & (all_20_13 = e23 | all_20_13 = e22 |
% 84.44/12.42 | all_20_13 = e21 | all_20_13 = e20) & (all_20_14 = e23 | all_20_14 =
% 84.44/12.42 | e22 | all_20_14 = e21 | all_20_14 = e20) & (all_20_15 = e23 |
% 84.44/12.42 | all_20_15 = e22 | all_20_15 = e21 | all_20_15 = e20)
% 84.44/12.42 |
% 84.44/12.42 | ALPHA: (216) implies:
% 84.44/12.42 | (217) op2(e20, e20) = all_20_15
% 84.44/12.42 | (218) op2(e20, e21) = all_20_14
% 84.44/12.42 | (219) op2(e20, e22) = all_20_13
% 84.44/12.42 | (220) op2(e20, e23) = all_20_12
% 84.44/12.42 | (221) op2(e21, e20) = all_20_11
% 84.44/12.42 | (222) op2(e21, e21) = all_20_10
% 84.44/12.42 | (223) op2(e21, e22) = all_20_9
% 84.44/12.42 | (224) op2(e21, e23) = all_20_8
% 84.44/12.42 | (225) op2(e22, e20) = all_20_7
% 84.44/12.42 | (226) op2(e22, e21) = all_20_6
% 84.44/12.42 | (227) op2(e22, e22) = all_20_5
% 84.44/12.42 | (228) op2(e22, e23) = all_20_4
% 84.44/12.42 | (229) op2(e23, e20) = all_20_3
% 84.44/12.42 | (230) op2(e23, e21) = all_20_2
% 84.44/12.42 | (231) op2(e23, e22) = all_20_1
% 84.44/12.42 | (232) op2(e23, e23) = all_20_0
% 84.44/12.42 | (233) all_20_15 = e23 | all_20_15 = e22 | all_20_15 = e21 | all_20_15 = e20
% 84.44/12.42 | (234) all_20_14 = e23 | all_20_14 = e22 | all_20_14 = e21 | all_20_14 = e20
% 84.44/12.42 | (235) all_20_13 = e23 | all_20_13 = e22 | all_20_13 = e21 | all_20_13 = e20
% 84.44/12.42 | (236) all_20_12 = e23 | all_20_12 = e22 | all_20_12 = e21 | all_20_12 = e20
% 84.44/12.42 | (237) all_20_11 = e23 | all_20_11 = e22 | all_20_11 = e21 | all_20_11 = e20
% 84.44/12.42 | (238) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e21 | all_20_7 = e20
% 84.44/12.42 | (239) all_20_6 = e23 | all_20_6 = e22 | all_20_6 = e21 | all_20_6 = e20
% 84.44/12.42 | (240) all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 84.44/12.42 | (241) all_20_4 = e23 | all_20_4 = e22 | all_20_4 = e21 | all_20_4 = e20
% 84.44/12.42 | (242) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e21 | all_20_3 = e20
% 84.44/12.42 | (243) all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e21 | all_20_2 = e20
% 84.44/12.42 | (244) all_20_1 = e23 | all_20_1 = e22 | all_20_1 = e21 | all_20_1 = e20
% 84.44/12.42 | (245) all_20_0 = e23 | all_20_0 = e22 | all_20_0 = e21 | all_20_0 = e20
% 84.44/12.42 |
% 84.44/12.42 | DELTA: instantiating (1) with fresh symbols all_22_0, all_22_1, all_22_2,
% 84.44/12.42 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 84.44/12.42 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives:
% 84.44/12.42 | (246) op1(e13, e13) = all_22_0 & op1(e13, e12) = all_22_1 & op1(e13, e11) =
% 84.44/12.42 | all_22_2 & op1(e13, e10) = all_22_3 & op1(e12, e13) = all_22_4 &
% 84.44/12.42 | op1(e12, e12) = all_22_5 & op1(e12, e11) = all_22_6 & op1(e12, e10) =
% 84.44/12.42 | all_22_7 & op1(e11, e13) = all_22_8 & op1(e11, e12) = all_22_9 &
% 84.44/12.42 | op1(e11, e11) = all_22_10 & op1(e11, e10) = all_22_11 & op1(e10, e13)
% 84.44/12.42 | = all_22_12 & op1(e10, e12) = all_22_13 & op1(e10, e11) = all_22_14 &
% 84.44/12.42 | op1(e10, e10) = all_22_15 & $i(all_22_0) & $i(all_22_1) &
% 84.44/12.42 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 84.44/12.42 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) &
% 84.44/12.42 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) &
% 84.44/12.42 | $i(all_22_14) & $i(all_22_15) & (all_22_0 = e13 | all_22_0 = e12 |
% 84.44/12.42 | all_22_0 = e11 | all_22_0 = e10) & (all_22_1 = e13 | all_22_1 = e12
% 84.44/12.42 | | all_22_1 = e11 | all_22_1 = e10) & (all_22_2 = e13 | all_22_2 =
% 84.44/12.42 | e12 | all_22_2 = e11 | all_22_2 = e10) & (all_22_3 = e13 | all_22_3
% 84.44/12.42 | = e12 | all_22_3 = e11 | all_22_3 = e10) & (all_22_4 = e13 |
% 84.44/12.42 | all_22_4 = e12 | all_22_4 = e11 | all_22_4 = e10) & (all_22_5 = e13
% 84.44/12.42 | | all_22_5 = e12 | all_22_5 = e11 | all_22_5 = e10) & (all_22_6 =
% 84.44/12.42 | e13 | all_22_6 = e12 | all_22_6 = e11 | all_22_6 = e10) & (all_22_7
% 84.44/12.42 | = e13 | all_22_7 = e12 | all_22_7 = e11 | all_22_7 = e10) &
% 84.44/12.42 | (all_22_8 = e13 | all_22_8 = e12 | all_22_8 = e11 | all_22_8 = e10) &
% 84.44/12.42 | (all_22_9 = e13 | all_22_9 = e12 | all_22_9 = e11 | all_22_9 = e10) &
% 84.44/12.42 | (all_22_10 = e13 | all_22_10 = e12 | all_22_10 = e11 | all_22_10 =
% 84.44/12.42 | e10) & (all_22_11 = e13 | all_22_11 = e12 | all_22_11 = e11 |
% 84.44/12.42 | all_22_11 = e10) & (all_22_12 = e13 | all_22_12 = e12 | all_22_12 =
% 84.44/12.42 | e11 | all_22_12 = e10) & (all_22_13 = e13 | all_22_13 = e12 |
% 84.44/12.42 | all_22_13 = e11 | all_22_13 = e10) & (all_22_14 = e13 | all_22_14 =
% 84.44/12.42 | e12 | all_22_14 = e11 | all_22_14 = e10) & (all_22_15 = e13 |
% 84.44/12.42 | all_22_15 = e12 | all_22_15 = e11 | all_22_15 = e10)
% 84.44/12.42 |
% 84.44/12.42 | ALPHA: (246) implies:
% 84.44/12.42 | (247) op1(e10, e10) = all_22_15
% 84.44/12.42 | (248) op1(e10, e11) = all_22_14
% 84.44/12.42 | (249) op1(e10, e12) = all_22_13
% 84.44/12.42 | (250) op1(e10, e13) = all_22_12
% 84.44/12.42 | (251) op1(e11, e10) = all_22_11
% 84.44/12.42 | (252) op1(e11, e11) = all_22_10
% 84.44/12.42 | (253) op1(e11, e12) = all_22_9
% 84.44/12.42 | (254) op1(e11, e13) = all_22_8
% 84.44/12.42 | (255) op1(e12, e10) = all_22_7
% 84.44/12.42 | (256) op1(e12, e11) = all_22_6
% 84.44/12.42 | (257) op1(e12, e12) = all_22_5
% 84.44/12.42 | (258) op1(e12, e13) = all_22_4
% 84.44/12.42 | (259) op1(e13, e10) = all_22_3
% 84.44/12.42 | (260) op1(e13, e11) = all_22_2
% 84.44/12.42 | (261) op1(e13, e12) = all_22_1
% 84.44/12.42 | (262) op1(e13, e13) = all_22_0
% 84.44/12.42 | (263) all_22_15 = e13 | all_22_15 = e12 | all_22_15 = e11 | all_22_15 = e10
% 84.44/12.42 | (264) all_22_14 = e13 | all_22_14 = e12 | all_22_14 = e11 | all_22_14 = e10
% 84.44/12.42 | (265) all_22_13 = e13 | all_22_13 = e12 | all_22_13 = e11 | all_22_13 = e10
% 84.44/12.42 | (266) all_22_12 = e13 | all_22_12 = e12 | all_22_12 = e11 | all_22_12 = e10
% 84.44/12.43 | (267) all_22_11 = e13 | all_22_11 = e12 | all_22_11 = e11 | all_22_11 = e10
% 84.44/12.43 | (268) all_22_7 = e13 | all_22_7 = e12 | all_22_7 = e11 | all_22_7 = e10
% 84.44/12.43 | (269) all_22_6 = e13 | all_22_6 = e12 | all_22_6 = e11 | all_22_6 = e10
% 84.44/12.43 | (270) all_22_5 = e13 | all_22_5 = e12 | all_22_5 = e11 | all_22_5 = e10
% 84.44/12.43 | (271) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e11 | all_22_4 = e10
% 84.44/12.43 | (272) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e11 | all_22_3 = e10
% 84.44/12.43 | (273) all_22_2 = e13 | all_22_2 = e12 | all_22_2 = e11 | all_22_2 = e10
% 84.44/12.43 | (274) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e11 | all_22_1 = e10
% 84.44/12.43 | (275) all_22_0 = e13 | all_22_0 = e12 | all_22_0 = e11 | all_22_0 = e10
% 84.44/12.43 |
% 84.44/12.43 | DELTA: instantiating (10) with fresh symbols all_24_0, all_24_1, all_24_2,
% 84.44/12.43 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 84.44/12.43 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15 gives:
% 84.44/12.43 | (276) op1(e13, e13) = all_24_0 & op1(e13, e12) = all_24_1 & op1(e13, e11) =
% 84.44/12.43 | all_24_4 & op1(e13, e10) = all_24_9 & op1(e12, e13) = all_24_2 &
% 84.44/12.43 | op1(e12, e12) = all_24_3 & op1(e12, e11) = all_24_5 & op1(e12, e10) =
% 84.44/12.43 | all_24_10 & op1(e11, e13) = all_24_6 & op1(e11, e12) = all_24_7 &
% 84.44/12.43 | op1(e11, e11) = all_24_8 & op1(e11, e10) = all_24_11 & op1(e10, e13)
% 84.44/12.43 | = all_24_12 & op1(e10, e12) = all_24_13 & op1(e10, e11) = all_24_14 &
% 84.44/12.43 | op1(e10, e10) = all_24_15 & $i(all_24_0) & $i(all_24_1) &
% 84.44/12.43 | $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) &
% 84.44/12.43 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) &
% 84.44/12.43 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) &
% 84.44/12.43 | $i(all_24_14) & $i(all_24_15) & (all_24_0 = e13 | all_24_1 = e13 |
% 84.44/12.43 | all_24_4 = e13 | all_24_9 = e13) & (all_24_0 = e13 | all_24_2 = e13
% 84.44/12.43 | | all_24_6 = e13 | all_24_12 = e13) & (all_24_0 = e12 | all_24_1 =
% 84.44/12.43 | e12 | all_24_4 = e12 | all_24_9 = e12) & (all_24_0 = e12 | all_24_2
% 84.44/12.43 | = e12 | all_24_6 = e12 | all_24_12 = e12) & (all_24_0 = e11 |
% 84.44/12.43 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11) & (all_24_0 = e11
% 84.44/12.43 | | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11) & (all_24_0 =
% 84.44/12.43 | e10 | all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10) & (all_24_0
% 84.44/12.43 | = e10 | all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10) &
% 84.44/12.43 | (all_24_1 = e13 | all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13)
% 84.44/12.43 | & (all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 =
% 84.44/12.43 | e12) & (all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 |
% 84.44/12.43 | all_24_13 = e11) & (all_24_1 = e10 | all_24_3 = e10 | all_24_7 =
% 84.44/12.43 | e10 | all_24_13 = e10) & (all_24_2 = e13 | all_24_3 = e13 |
% 84.44/12.43 | all_24_5 = e13 | all_24_10 = e13) & (all_24_2 = e12 | all_24_3 =
% 84.44/12.43 | e12 | all_24_5 = e12 | all_24_10 = e12) & (all_24_2 = e11 |
% 84.44/12.43 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11) & (all_24_2 =
% 84.44/12.43 | e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10) &
% 84.44/12.43 | (all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13)
% 84.44/12.43 | & (all_24_4 = e12 | all_24_5 = e12 | all_24_8 = e12 | all_24_14 =
% 84.44/12.43 | e12) & (all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 |
% 84.44/12.43 | all_24_14 = e11) & (all_24_4 = e10 | all_24_5 = e10 | all_24_8 =
% 84.44/12.43 | e10 | all_24_14 = e10) & (all_24_6 = e13 | all_24_7 = e13 |
% 84.44/12.43 | all_24_8 = e13 | all_24_11 = e13) & (all_24_6 = e12 | all_24_7 =
% 84.44/12.43 | e12 | all_24_8 = e12 | all_24_11 = e12) & (all_24_6 = e11 |
% 84.44/12.43 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11) & (all_24_6 =
% 84.44/12.43 | e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10) &
% 84.44/12.43 | (all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 84.44/12.43 | e13) & (all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 |
% 84.44/12.43 | all_24_15 = e12) & (all_24_9 = e11 | all_24_10 = e11 | all_24_11 =
% 84.44/12.43 | e11 | all_24_15 = e11) & (all_24_12 = e13 | all_24_13 = e13 |
% 84.44/12.43 | all_24_14 = e13 | all_24_15 = e13) & (all_24_12 = e12 | all_24_13 =
% 84.44/12.43 | e12 | all_24_14 = e12 | all_24_15 = e12) & (all_24_12 = e11 |
% 84.44/12.43 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11) & (all_24_15 =
% 84.44/12.43 | e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) &
% 84.44/12.43 | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10)))
% 84.44/12.43 |
% 84.44/12.43 | ALPHA: (276) implies:
% 84.44/12.43 | (277) op1(e10, e10) = all_24_15
% 84.44/12.43 | (278) op1(e10, e11) = all_24_14
% 84.44/12.43 | (279) op1(e10, e12) = all_24_13
% 84.44/12.43 | (280) op1(e10, e13) = all_24_12
% 84.44/12.43 | (281) op1(e11, e10) = all_24_11
% 84.44/12.43 | (282) op1(e11, e11) = all_24_8
% 84.44/12.43 | (283) op1(e11, e12) = all_24_7
% 84.44/12.43 | (284) op1(e11, e13) = all_24_6
% 84.44/12.43 | (285) op1(e12, e10) = all_24_10
% 84.44/12.43 | (286) op1(e12, e11) = all_24_5
% 84.44/12.43 | (287) op1(e12, e12) = all_24_3
% 84.44/12.43 | (288) op1(e12, e13) = all_24_2
% 84.44/12.43 | (289) op1(e13, e10) = all_24_9
% 84.44/12.43 | (290) op1(e13, e11) = all_24_4
% 84.44/12.43 | (291) op1(e13, e12) = all_24_1
% 84.44/12.43 | (292) op1(e13, e13) = all_24_0
% 84.44/12.43 | (293) all_24_15 = e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 =
% 84.44/12.43 | e10) & (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10))
% 84.44/12.43 | (294) all_24_12 = e11 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11
% 84.44/12.43 | (295) all_24_12 = e12 | all_24_13 = e12 | all_24_14 = e12 | all_24_15 = e12
% 84.44/12.43 | (296) all_24_12 = e13 | all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13
% 84.44/12.43 | (297) all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 | all_24_15 = e12
% 84.44/12.43 | (298) all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 = e13
% 84.44/12.43 | (299) all_24_4 = e10 | all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10
% 84.44/12.43 | (300) all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11
% 84.44/12.43 | (301) all_24_4 = e12 | all_24_5 = e12 | all_24_8 = e12 | all_24_14 = e12
% 84.44/12.43 | (302) all_24_2 = e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10
% 84.44/12.43 | (303) all_24_2 = e12 | all_24_3 = e12 | all_24_5 = e12 | all_24_10 = e12
% 84.44/12.43 | (304) all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 84.44/12.43 | (305) all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 84.44/12.43 | (306) all_24_1 = e13 | all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13
% 84.44/12.43 | (307) all_24_0 = e10 | all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10
% 84.44/12.43 | (308) all_24_0 = e11 | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 84.44/12.43 | (309) all_24_0 = e11 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11
% 84.44/12.43 | (310) all_24_0 = e13 | all_24_2 = e13 | all_24_6 = e13 | all_24_12 = e13
% 84.44/12.43 | (311) all_24_0 = e13 | all_24_1 = e13 | all_24_4 = e13 | all_24_9 = e13
% 84.44/12.43 |
% 84.44/12.43 | DELTA: instantiating (19) with fresh symbols all_26_0, all_26_1, all_26_2,
% 84.44/12.43 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 84.44/12.43 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15 gives:
% 84.44/12.43 | (312) op2(e23, e23) = all_26_0 & op2(e23, e22) = all_26_1 & op2(e23, e21) =
% 84.44/12.43 | all_26_4 & op2(e23, e20) = all_26_9 & op2(e22, e23) = all_26_2 &
% 84.44/12.43 | op2(e22, e22) = all_26_3 & op2(e22, e21) = all_26_5 & op2(e22, e20) =
% 84.44/12.43 | all_26_10 & op2(e21, e23) = all_26_6 & op2(e21, e22) = all_26_7 &
% 84.44/12.43 | op2(e21, e21) = all_26_8 & op2(e21, e20) = all_26_11 & op2(e20, e23)
% 84.44/12.43 | = all_26_12 & op2(e20, e22) = all_26_13 & op2(e20, e21) = all_26_14 &
% 84.44/12.43 | op2(e20, e20) = all_26_15 & $i(all_26_0) & $i(all_26_1) &
% 84.44/12.43 | $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) &
% 84.44/12.43 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) &
% 84.44/12.43 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) &
% 84.44/12.43 | $i(all_26_14) & $i(all_26_15) & (all_26_0 = e23 | all_26_1 = e23 |
% 84.44/12.43 | all_26_4 = e23 | all_26_9 = e23) & (all_26_0 = e23 | all_26_2 = e23
% 84.44/12.43 | | all_26_6 = e23 | all_26_12 = e23) & (all_26_0 = e22 | all_26_1 =
% 84.44/12.43 | e22 | all_26_4 = e22 | all_26_9 = e22) & (all_26_0 = e22 | all_26_2
% 84.44/12.43 | = e22 | all_26_6 = e22 | all_26_12 = e22) & (all_26_0 = e21 |
% 84.44/12.43 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21) & (all_26_0 = e21
% 84.44/12.43 | | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21) & (all_26_0 =
% 84.44/12.43 | e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20) & (all_26_0
% 84.44/12.43 | = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20) &
% 84.44/12.43 | (all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23)
% 84.44/12.43 | & (all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 =
% 84.44/12.43 | e22) & (all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 |
% 84.44/12.43 | all_26_13 = e21) & (all_26_1 = e20 | all_26_3 = e20 | all_26_7 =
% 84.44/12.43 | e20 | all_26_13 = e20) & (all_26_2 = e23 | all_26_3 = e23 |
% 84.44/12.43 | all_26_5 = e23 | all_26_10 = e23) & (all_26_2 = e22 | all_26_3 =
% 84.44/12.43 | e22 | all_26_5 = e22 | all_26_10 = e22) & (all_26_2 = e21 |
% 84.44/12.43 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21) & (all_26_2 =
% 84.44/12.43 | e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20) &
% 84.44/12.43 | (all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23)
% 84.44/12.43 | & (all_26_4 = e22 | all_26_5 = e22 | all_26_8 = e22 | all_26_14 =
% 84.44/12.43 | e22) & (all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 |
% 84.44/12.43 | all_26_14 = e21) & (all_26_4 = e20 | all_26_5 = e20 | all_26_8 =
% 84.44/12.43 | e20 | all_26_14 = e20) & (all_26_6 = e23 | all_26_7 = e23 |
% 84.44/12.43 | all_26_8 = e23 | all_26_11 = e23) & (all_26_6 = e22 | all_26_7 =
% 84.44/12.43 | e22 | all_26_8 = e22 | all_26_11 = e22) & (all_26_6 = e21 |
% 84.44/12.43 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21) & (all_26_6 =
% 84.44/12.43 | e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20) &
% 84.44/12.43 | (all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 84.44/12.43 | e23) & (all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 |
% 84.44/12.43 | all_26_15 = e22) & (all_26_9 = e21 | all_26_10 = e21 | all_26_11 =
% 84.44/12.43 | e21 | all_26_15 = e21) & (all_26_12 = e23 | all_26_13 = e23 |
% 84.44/12.43 | all_26_14 = e23 | all_26_15 = e23) & (all_26_12 = e22 | all_26_13 =
% 84.44/12.43 | e22 | all_26_14 = e22 | all_26_15 = e22) & (all_26_12 = e21 |
% 84.44/12.43 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21) & (all_26_15 =
% 84.44/12.43 | e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 84.44/12.43 | (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20)))
% 84.44/12.43 |
% 84.44/12.43 | ALPHA: (312) implies:
% 84.44/12.44 | (313) op2(e20, e20) = all_26_15
% 84.44/12.44 | (314) op2(e20, e21) = all_26_14
% 84.44/12.44 | (315) op2(e20, e22) = all_26_13
% 84.44/12.44 | (316) op2(e20, e23) = all_26_12
% 84.44/12.44 | (317) op2(e21, e20) = all_26_11
% 84.44/12.44 | (318) op2(e21, e21) = all_26_8
% 84.44/12.44 | (319) op2(e21, e22) = all_26_7
% 84.44/12.44 | (320) op2(e21, e23) = all_26_6
% 84.44/12.44 | (321) op2(e22, e20) = all_26_10
% 84.44/12.44 | (322) op2(e22, e21) = all_26_5
% 84.44/12.44 | (323) op2(e22, e22) = all_26_3
% 84.44/12.44 | (324) op2(e22, e23) = all_26_2
% 84.44/12.44 | (325) op2(e23, e20) = all_26_9
% 84.44/12.44 | (326) op2(e23, e21) = all_26_4
% 84.44/12.44 | (327) op2(e23, e22) = all_26_1
% 84.44/12.44 | (328) op2(e23, e23) = all_26_0
% 84.44/12.44 | (329) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 84.44/12.44 | e20) & (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 84.44/12.44 | (330) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 84.44/12.44 | (331) all_26_12 = e22 | all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22
% 84.44/12.44 | (332) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23
% 84.44/12.44 | (333) all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22
% 84.44/12.44 | (334) all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 = e23
% 84.44/12.44 | (335) all_26_6 = e21 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21
% 84.44/12.44 | (336) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 84.44/12.44 | (337) all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21
% 84.44/12.44 | (338) all_26_4 = e22 | all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 84.44/12.44 | (339) all_26_2 = e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20
% 84.44/12.44 | (340) all_26_2 = e21 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21
% 84.44/12.44 | (341) all_26_2 = e22 | all_26_3 = e22 | all_26_5 = e22 | all_26_10 = e22
% 84.44/12.44 | (342) all_26_2 = e23 | all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 84.44/12.44 | (343) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 84.44/12.44 | (344) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 84.44/12.44 | (345) all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 84.44/12.44 | (346) all_26_0 = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20
% 84.44/12.44 | (347) all_26_0 = e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20
% 84.44/12.44 | (348) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 84.44/12.44 | (349) all_26_0 = e21 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21
% 84.44/12.44 | (350) all_26_0 = e22 | all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 84.44/12.44 | (351) all_26_0 = e23 | all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 84.44/12.44 |
% 84.44/12.44 | DELTA: instantiating (37) with fresh symbols all_28_0, all_28_1, all_28_2,
% 84.44/12.44 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 84.44/12.44 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 84.44/12.44 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 84.44/12.44 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 84.44/12.44 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 84.44/12.44 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 84.44/12.44 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 84.44/12.44 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 84.44/12.44 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 84.44/12.44 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 84.44/12.44 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 84.44/12.44 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 84.44/12.44 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 84.44/12.44 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 84.44/12.44 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 84.44/12.44 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 84.44/12.44 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 84.44/12.44 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 84.44/12.44 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 84.44/12.44 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 84.44/12.44 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 84.44/12.44 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 84.44/12.44 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 84.44/12.44 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 84.44/12.44 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 84.44/12.44 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 84.44/12.44 | gives:
% 84.44/12.44 | (352) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 &
% 84.44/12.44 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 &
% 84.44/12.44 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 &
% 84.44/12.44 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 &
% 84.44/12.44 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 &
% 84.44/12.44 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 &
% 84.44/12.44 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 &
% 84.44/12.44 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) =
% 84.44/12.44 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) =
% 84.44/12.44 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 &
% 84.44/12.44 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 &
% 84.44/12.44 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 &
% 84.44/12.44 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 &
% 84.44/12.44 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 &
% 84.44/12.44 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 &
% 84.44/12.44 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 &
% 84.44/12.44 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) =
% 84.44/12.44 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) =
% 84.44/12.44 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 &
% 84.44/12.44 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 &
% 84.44/12.44 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 &
% 84.44/12.44 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 &
% 84.44/12.44 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 &
% 84.44/12.44 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 &
% 84.44/12.44 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 &
% 84.44/12.44 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) =
% 84.44/12.44 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) =
% 84.44/12.44 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) =
% 84.44/12.44 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) =
% 84.44/12.44 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) =
% 84.44/12.44 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) =
% 84.44/12.44 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) =
% 84.44/12.44 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) =
% 84.44/12.44 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) =
% 84.44/12.44 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) =
% 84.44/12.44 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) =
% 84.44/12.44 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) =
% 84.44/12.44 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25,
% 84.44/12.44 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 &
% 84.44/12.44 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) =
% 84.44/12.44 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28,
% 84.44/12.44 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 &
% 84.44/12.44 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) =
% 84.44/12.44 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34,
% 84.44/12.44 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 &
% 84.44/12.44 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) =
% 84.44/12.44 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61,
% 84.44/12.44 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 &
% 84.44/12.44 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) =
% 84.44/12.44 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64,
% 84.44/12.44 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 &
% 84.44/12.44 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) =
% 84.44/12.44 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67,
% 84.44/12.44 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 &
% 84.44/12.44 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) =
% 84.44/12.44 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97,
% 84.44/12.44 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 &
% 84.44/12.44 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) =
% 84.44/12.44 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100,
% 84.44/12.44 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 &
% 84.44/12.44 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97)
% 84.44/12.44 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 &
% 84.44/12.44 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106)
% 84.44/12.44 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 &
% 84.44/12.44 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103)
% 84.44/12.44 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 &
% 84.44/12.44 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145,
% 84.44/12.44 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114
% 84.44/12.44 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149,
% 84.44/12.44 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123
% 84.44/12.44 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149,
% 84.44/12.44 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132
% 84.44/12.44 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153,
% 84.44/12.44 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141
% 84.44/12.44 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157,
% 84.44/12.44 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152
% 84.44/12.44 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) =
% 84.44/12.44 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116
% 84.44/12.44 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12,
% 84.44/12.44 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) =
% 84.44/12.44 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137
% 84.44/12.44 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10,
% 84.44/12.44 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) =
% 84.44/12.44 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1)
% 84.44/12.44 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) &
% 84.44/12.44 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) &
% 84.44/12.44 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) &
% 84.44/12.44 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) &
% 84.44/12.44 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) &
% 84.44/12.44 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) &
% 84.44/12.44 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) &
% 84.44/12.44 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) &
% 84.44/12.44 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) &
% 84.44/12.44 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) &
% 84.44/12.44 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) &
% 84.44/12.44 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) &
% 84.44/12.44 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) &
% 84.44/12.44 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) &
% 84.44/12.44 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) &
% 84.44/12.44 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) &
% 84.44/12.44 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) &
% 84.44/12.44 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) &
% 84.44/12.44 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) &
% 84.44/12.44 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) &
% 84.44/12.44 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) &
% 84.44/12.44 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) &
% 84.44/12.44 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) &
% 84.44/12.44 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) &
% 84.44/12.44 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) &
% 84.44/12.44 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) &
% 84.44/12.44 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) &
% 84.44/12.44 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) &
% 84.44/12.44 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) &
% 84.44/12.44 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) &
% 84.44/12.44 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) &
% 84.44/12.44 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) &
% 84.44/12.44 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) &
% 84.44/12.44 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) &
% 84.44/12.44 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) &
% 84.44/12.44 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) &
% 84.44/12.44 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) &
% 84.44/12.44 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) &
% 84.44/12.44 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) &
% 84.44/12.44 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~
% 84.44/12.44 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 84.44/12.44 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 84.44/12.44 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 84.44/12.44 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 84.44/12.44 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 84.44/12.44 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 84.44/12.44 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 84.44/12.44 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 84.44/12.44 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 84.44/12.44 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 84.44/12.44 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) &
% 84.44/12.44 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 84.44/12.44 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~
% 84.44/12.44 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 84.44/12.44 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 84.44/12.44 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 84.44/12.44 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 84.44/12.44 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 84.44/12.44 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 84.44/12.44 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 84.44/12.44 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 84.44/12.44 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 84.44/12.44 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 84.44/12.44 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 84.44/12.44 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) &
% 84.44/12.44 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 84.44/12.44 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~
% 84.44/12.44 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 84.44/12.44 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 84.44/12.44 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 84.44/12.44 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 84.44/12.44 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 84.44/12.44 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 84.44/12.44 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 84.44/12.44 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 84.44/12.44 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 84.44/12.44 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100
% 84.44/12.44 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 84.44/12.44 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 84.44/12.44 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 84.44/12.44 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 84.44/12.44 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 84.44/12.44 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 84.44/12.44 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 84.44/12.44 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 84.44/12.44 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 84.44/12.44 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 84.44/12.44 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 84.44/12.44 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 84.44/12.44 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 84.44/12.44 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 84.44/12.44 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 84.44/12.44 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 84.44/12.44 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 84.44/12.44 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 84.44/12.44 | (all_28_157 = e20)))
% 84.44/12.44 |
% 84.44/12.44 | ALPHA: (352) implies:
% 84.44/12.44 | (353) op1(e10, e10) = all_28_159
% 84.44/12.44 | (354) op1(e10, e11) = all_28_155
% 84.44/12.44 | (355) op1(e10, e12) = all_28_151
% 84.44/12.44 | (356) op1(e10, e13) = all_28_147
% 84.44/12.44 | (357) op1(e11, e10) = all_28_143
% 84.44/12.44 | (358) op1(e11, e11) = all_28_140
% 84.44/12.44 | (359) op1(e11, e12) = all_28_137
% 84.44/12.44 | (360) op1(e11, e13) = all_28_134
% 84.44/12.44 | (361) op1(e12, e10) = all_28_131
% 84.44/12.45 | (362) op1(e12, e11) = all_28_128
% 84.44/12.45 | (363) op1(e12, e12) = all_28_125
% 84.44/12.45 | (364) op1(e12, e13) = all_28_122
% 84.44/12.45 | (365) op1(e13, e10) = all_28_119
% 84.44/12.45 | (366) op1(e13, e11) = all_28_116
% 84.44/12.45 | (367) op1(e13, e12) = all_28_113
% 84.44/12.45 | (368) op1(e13, e13) = all_28_110
% 84.44/12.45 | (369) op2(all_28_157, all_28_157) = all_28_156
% 84.44/12.45 | (370) op2(all_28_157, all_28_153) = all_28_152
% 84.44/12.45 | (371) op2(all_28_157, all_28_149) = all_28_148
% 84.44/12.45 | (372) op2(all_28_157, all_28_145) = all_28_144
% 84.44/12.45 | (373) op2(all_28_153, all_28_157) = all_28_141
% 84.44/12.45 | (374) op2(all_28_153, all_28_153) = all_28_138
% 84.44/12.45 | (375) op2(all_28_153, all_28_149) = all_28_135
% 84.44/12.45 | (376) op2(all_28_153, all_28_145) = all_28_132
% 84.44/12.45 | (377) op2(all_28_149, all_28_157) = all_28_129
% 84.44/12.45 | (378) op2(all_28_149, all_28_153) = all_28_126
% 84.44/12.45 | (379) op2(all_28_149, all_28_149) = all_28_123
% 84.44/12.45 | (380) op2(all_28_149, all_28_145) = all_28_120
% 84.44/12.45 | (381) op2(all_28_145, all_28_157) = all_28_117
% 84.44/12.45 | (382) op2(all_28_145, all_28_153) = all_28_114
% 84.44/12.45 | (383) op2(all_28_145, all_28_149) = all_28_111
% 84.44/12.45 | (384) op2(all_28_145, all_28_145) = all_28_108
% 84.44/12.45 | (385) op2(all_28_106, all_28_106) = all_28_105
% 84.44/12.45 | (386) op2(all_28_106, all_28_103) = all_28_102
% 84.44/12.45 | (387) op2(all_28_106, all_28_100) = all_28_99
% 84.44/12.45 | (388) op2(all_28_106, all_28_97) = all_28_96
% 84.44/12.45 | (389) op2(all_28_103, all_28_106) = all_28_94
% 84.44/12.45 | (390) op2(all_28_103, all_28_103) = all_28_92
% 84.44/12.45 | (391) op2(all_28_103, all_28_100) = all_28_90
% 84.44/12.45 | (392) op2(all_28_103, all_28_97) = all_28_88
% 84.44/12.45 | (393) op2(all_28_100, all_28_106) = all_28_86
% 84.44/12.45 | (394) op2(all_28_100, all_28_103) = all_28_84
% 84.44/12.45 | (395) op2(all_28_100, all_28_100) = all_28_82
% 84.44/12.45 | (396) op2(all_28_100, all_28_97) = all_28_80
% 84.44/12.45 | (397) op2(all_28_97, all_28_106) = all_28_78
% 84.44/12.45 | (398) op2(all_28_97, all_28_103) = all_28_76
% 84.44/12.45 | (399) op2(all_28_97, all_28_100) = all_28_74
% 84.44/12.45 | (400) op2(all_28_97, all_28_97) = all_28_72
% 84.44/12.45 | (401) op2(all_28_70, all_28_67) = all_28_66
% 84.44/12.45 | (402) op2(all_28_70, all_28_61) = all_28_60
% 84.44/12.45 | (403) op2(all_28_67, all_28_70) = all_28_58
% 84.44/12.45 | (404) op2(all_28_67, all_28_67) = all_28_56
% 84.44/12.45 | (405) op2(all_28_67, all_28_64) = all_28_54
% 84.44/12.45 | (406) op2(all_28_67, all_28_61) = all_28_52
% 84.44/12.45 | (407) op2(all_28_64, all_28_70) = all_28_50
% 84.44/12.45 | (408) op2(all_28_64, all_28_67) = all_28_48
% 84.44/12.45 | (409) op2(all_28_64, all_28_64) = all_28_46
% 84.44/12.45 | (410) op2(all_28_61, all_28_70) = all_28_42
% 84.44/12.45 | (411) op2(all_28_61, all_28_67) = all_28_40
% 84.44/12.45 | (412) op2(all_28_61, all_28_64) = all_28_38
% 84.44/12.45 | (413) op2(all_28_34, all_28_34) = all_28_33
% 84.44/12.45 | (414) op2(all_28_34, all_28_31) = all_28_30
% 84.44/12.45 | (415) op2(all_28_34, all_28_28) = all_28_27
% 84.44/12.45 | (416) op2(all_28_34, all_28_25) = all_28_24
% 84.44/12.45 | (417) op2(all_28_31, all_28_34) = all_28_22
% 84.44/12.45 | (418) op2(all_28_31, all_28_31) = all_28_20
% 84.44/12.45 | (419) op2(all_28_31, all_28_28) = all_28_18
% 84.44/12.45 | (420) op2(all_28_31, all_28_25) = all_28_16
% 84.44/12.45 | (421) op2(all_28_28, all_28_34) = all_28_14
% 84.44/12.45 | (422) op2(all_28_28, all_28_31) = all_28_12
% 84.44/12.45 | (423) op2(all_28_28, all_28_28) = all_28_10
% 84.44/12.45 | (424) op2(all_28_28, all_28_25) = all_28_8
% 84.44/12.45 | (425) op2(all_28_25, all_28_34) = all_28_6
% 84.44/12.45 | (426) op2(all_28_25, all_28_31) = all_28_4
% 84.44/12.45 | (427) op2(all_28_25, all_28_28) = all_28_2
% 84.44/12.45 | (428) h1(e10) = all_28_157
% 84.44/12.45 | (429) h1(e11) = all_28_153
% 84.44/12.45 | (430) h1(e12) = all_28_149
% 84.44/12.45 | (431) h1(e13) = all_28_145
% 84.44/12.45 | (432) h2(e10) = all_28_106
% 84.44/12.45 | (433) h2(e11) = all_28_103
% 84.44/12.45 | (434) h2(e12) = all_28_100
% 84.44/12.45 | (435) h2(e13) = all_28_97
% 84.44/12.45 | (436) h2(all_28_159) = all_28_107
% 84.44/12.45 | (437) h2(all_28_155) = all_28_104
% 84.44/12.45 | (438) h2(all_28_151) = all_28_101
% 84.44/12.45 | (439) h2(all_28_147) = all_28_98
% 84.44/12.45 | (440) h2(all_28_143) = all_28_95
% 84.44/12.45 | (441) h2(all_28_140) = all_28_93
% 84.44/12.45 | (442) h2(all_28_137) = all_28_91
% 84.44/12.45 | (443) h2(all_28_134) = all_28_89
% 84.44/12.45 | (444) h2(all_28_131) = all_28_87
% 84.44/12.45 | (445) h2(all_28_128) = all_28_85
% 84.44/12.45 | (446) h2(all_28_125) = all_28_83
% 84.44/12.45 | (447) h2(all_28_122) = all_28_81
% 84.44/12.45 | (448) h2(all_28_119) = all_28_79
% 84.44/12.45 | (449) h2(all_28_116) = all_28_77
% 84.44/12.45 | (450) h2(all_28_113) = all_28_75
% 84.44/12.45 | (451) h2(all_28_110) = all_28_73
% 84.44/12.45 | (452) h3(e10) = all_28_70
% 84.44/12.45 | (453) h3(e11) = all_28_67
% 84.44/12.45 | (454) h3(e12) = all_28_64
% 84.44/12.45 | (455) h3(e13) = all_28_61
% 84.44/12.45 | (456) h4(e10) = all_28_34
% 84.44/12.45 | (457) h4(e11) = all_28_31
% 84.44/12.45 | (458) h4(e12) = all_28_28
% 84.44/12.45 | (459) h4(e13) = all_28_25
% 84.44/12.45 | (460) ~ (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 84.44/12.45 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~ (all_28_80
% 84.44/12.45 | = all_28_81) | ~ (all_28_82 = all_28_83) | ~ (all_28_84 =
% 84.44/12.45 | all_28_85) | ~ (all_28_86 = all_28_87) | ~ (all_28_88 =
% 84.44/12.45 | all_28_89) | ~ (all_28_90 = all_28_91) | ~ (all_28_92 =
% 84.44/12.45 | all_28_93) | ~ (all_28_94 = all_28_95) | ~ (all_28_96 =
% 84.44/12.45 | all_28_98) | ~ (all_28_99 = all_28_101) | ~ (all_28_102 =
% 84.44/12.45 | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 84.44/12.45 | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ (all_28_106 =
% 84.44/12.45 | e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.44/12.45 | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 84.44/12.45 | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ (all_28_106 =
% 84.44/12.45 | e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.44/12.45 | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_18_15, all_22_15, e10, e10,
% 84.44/12.45 | simplifying with (200), (247) gives:
% 84.44/12.45 | (461) all_22_15 = all_18_15
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_22_15, all_24_15, e10, e10,
% 84.44/12.45 | simplifying with (247), (277) gives:
% 84.44/12.45 | (462) all_24_15 = all_22_15
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_24_15, all_28_159, e10, e10,
% 84.44/12.45 | simplifying with (277), (353) gives:
% 84.44/12.45 | (463) all_28_159 = all_24_15
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_14_3, all_28_159, e10, e10,
% 84.44/12.45 | simplifying with (83), (353) gives:
% 84.44/12.45 | (464) all_28_159 = all_14_3
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_22_14, all_24_14, e11, e10,
% 84.44/12.45 | simplifying with (248), (278) gives:
% 84.44/12.45 | (465) all_24_14 = all_22_14
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_24_14, all_28_155, e11, e10,
% 84.44/12.45 | simplifying with (278), (354) gives:
% 84.44/12.45 | (466) all_28_155 = all_24_14
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_18_11, all_28_155, e11, e10,
% 84.44/12.45 | simplifying with (201), (354) gives:
% 84.44/12.45 | (467) all_28_155 = all_18_11
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_24_13, all_28_151, e12, e10,
% 84.44/12.45 | simplifying with (279), (355) gives:
% 84.44/12.45 | (468) all_28_151 = all_24_13
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_22_13, all_28_151, e12, e10,
% 84.44/12.45 | simplifying with (249), (355) gives:
% 84.44/12.45 | (469) all_28_151 = all_22_13
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_18_7, all_28_151, e12, e10,
% 84.44/12.45 | simplifying with (202), (355) gives:
% 84.44/12.45 | (470) all_28_151 = all_18_7
% 84.44/12.45 |
% 84.44/12.45 | GROUND_INST: instantiating (42) with all_22_12, all_24_12, e13, e10,
% 84.44/12.45 | simplifying with (250), (280) gives:
% 84.44/12.45 | (471) all_24_12 = all_22_12
% 84.44/12.45 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_12, all_28_147, e13, e10,
% 84.44/12.46 | simplifying with (280), (356) gives:
% 84.44/12.46 | (472) all_28_147 = all_24_12
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_3, all_28_147, e13, e10,
% 84.44/12.46 | simplifying with (203), (356) gives:
% 84.44/12.46 | (473) all_28_147 = all_18_3
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_11, all_28_143, e10, e11,
% 84.44/12.46 | simplifying with (281), (357) gives:
% 84.44/12.46 | (474) all_28_143 = all_24_11
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_11, all_28_143, e10, e11,
% 84.44/12.46 | simplifying with (251), (357) gives:
% 84.44/12.46 | (475) all_28_143 = all_22_11
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_14, all_28_143, e10, e11,
% 84.44/12.46 | simplifying with (204), (357) gives:
% 84.44/12.46 | (476) all_28_143 = all_18_14
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_10, all_22_10, e11, e11,
% 84.44/12.46 | simplifying with (205), (252) gives:
% 84.44/12.46 | (477) all_22_10 = all_18_10
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_14_2, all_22_10, e11, e11,
% 84.44/12.46 | simplifying with (84), (252) gives:
% 84.44/12.46 | (478) all_22_10 = all_14_2
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_10, all_24_8, e11, e11,
% 84.44/12.46 | simplifying with (252), (282) gives:
% 84.44/12.46 | (479) all_24_8 = all_22_10
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_8, all_28_140, e11, e11,
% 84.44/12.46 | simplifying with (282), (358) gives:
% 84.44/12.46 | (480) all_28_140 = all_24_8
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with e13, all_28_140, e11, e11, simplifying
% 84.44/12.46 | with (27), (358) gives:
% 84.44/12.46 | (481) all_28_140 = e13
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with e10, all_22_9, e12, e11, simplifying with
% 84.44/12.46 | (28), (253) gives:
% 84.44/12.46 | (482) all_22_9 = e10
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_7, all_28_137, e12, e11,
% 84.44/12.46 | simplifying with (283), (359) gives:
% 84.44/12.46 | (483) all_28_137 = all_24_7
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_9, all_28_137, e12, e11,
% 84.44/12.46 | simplifying with (253), (359) gives:
% 84.44/12.46 | (484) all_28_137 = all_22_9
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_6, all_28_137, e12, e11,
% 84.44/12.46 | simplifying with (206), (359) gives:
% 84.44/12.46 | (485) all_28_137 = all_18_6
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_8, all_24_6, e13, e11, simplifying
% 84.44/12.46 | with (254), (284) gives:
% 84.44/12.46 | (486) all_24_6 = all_22_8
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with e12, all_24_6, e13, e11, simplifying with
% 84.44/12.46 | (29), (284) gives:
% 84.44/12.46 | (487) all_24_6 = e12
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_6, all_28_134, e13, e11,
% 84.44/12.46 | simplifying with (284), (360) gives:
% 84.44/12.46 | (488) all_28_134 = all_24_6
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_2, all_28_134, e13, e11,
% 84.44/12.46 | simplifying with (207), (360) gives:
% 84.44/12.46 | (489) all_28_134 = all_18_2
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_7, all_24_10, e10, e12,
% 84.44/12.46 | simplifying with (255), (285) gives:
% 84.44/12.46 | (490) all_24_10 = all_22_7
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_10, all_28_131, e10, e12,
% 84.44/12.46 | simplifying with (285), (361) gives:
% 84.44/12.46 | (491) all_28_131 = all_24_10
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_13, all_28_131, e10, e12,
% 84.44/12.46 | simplifying with (208), (361) gives:
% 84.44/12.46 | (492) all_28_131 = all_18_13
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_6, all_24_5, e11, e12, simplifying
% 84.44/12.46 | with (256), (286) gives:
% 84.44/12.46 | (493) all_24_5 = all_22_6
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_5, all_28_128, e11, e12,
% 84.44/12.46 | simplifying with (286), (362) gives:
% 84.44/12.46 | (494) all_28_128 = all_24_5
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_9, all_28_128, e11, e12,
% 84.44/12.46 | simplifying with (209), (362) gives:
% 84.44/12.46 | (495) all_28_128 = all_18_9
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_5, all_22_5, e12, e12, simplifying
% 84.44/12.46 | with (210), (257) gives:
% 84.44/12.46 | (496) all_22_5 = all_18_5
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_5, all_24_3, e12, e12, simplifying
% 84.44/12.46 | with (257), (287) gives:
% 84.44/12.46 | (497) all_24_3 = all_22_5
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_3, all_28_125, e12, e12,
% 84.44/12.46 | simplifying with (287), (363) gives:
% 84.44/12.46 | (498) all_28_125 = all_24_3
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_14_1, all_28_125, e12, e12,
% 84.44/12.46 | simplifying with (85), (363) gives:
% 84.44/12.46 | (499) all_28_125 = all_14_1
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_4, all_24_2, e13, e12, simplifying
% 84.44/12.46 | with (258), (288) gives:
% 84.44/12.46 | (500) all_24_2 = all_22_4
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_24_2, all_28_122, e13, e12,
% 84.44/12.46 | simplifying with (288), (364) gives:
% 84.44/12.46 | (501) all_28_122 = all_24_2
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_18_1, all_28_122, e13, e12,
% 84.44/12.46 | simplifying with (211), (364) gives:
% 84.44/12.46 | (502) all_28_122 = all_18_1
% 84.44/12.46 |
% 84.44/12.46 | GROUND_INST: instantiating (42) with all_22_3, all_24_9, e10, e13, simplifying
% 84.44/12.46 | with (259), (289) gives:
% 84.85/12.46 | (503) all_24_9 = all_22_3
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_24_9, all_28_119, e10, e13,
% 84.85/12.46 | simplifying with (289), (365) gives:
% 84.85/12.46 | (504) all_28_119 = all_24_9
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_18_12, all_28_119, e10, e13,
% 84.85/12.46 | simplifying with (212), (365) gives:
% 84.85/12.46 | (505) all_28_119 = all_18_12
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_18_8, all_24_4, e11, e13, simplifying
% 84.85/12.46 | with (213), (290) gives:
% 84.85/12.46 | (506) all_24_4 = all_18_8
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_24_4, all_28_116, e11, e13,
% 84.85/12.46 | simplifying with (290), (366) gives:
% 84.85/12.46 | (507) all_28_116 = all_24_4
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_22_2, all_28_116, e11, e13,
% 84.85/12.46 | simplifying with (260), (366) gives:
% 84.85/12.46 | (508) all_28_116 = all_22_2
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_24_1, all_28_113, e12, e13,
% 84.85/12.46 | simplifying with (291), (367) gives:
% 84.85/12.46 | (509) all_28_113 = all_24_1
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_22_1, all_28_113, e12, e13,
% 84.85/12.46 | simplifying with (261), (367) gives:
% 84.85/12.46 | (510) all_28_113 = all_22_1
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_18_4, all_28_113, e12, e13,
% 84.85/12.46 | simplifying with (214), (367) gives:
% 84.85/12.46 | (511) all_28_113 = all_18_4
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_14_0, all_22_0, e13, e13, simplifying
% 84.85/12.46 | with (86), (262) gives:
% 84.85/12.46 | (512) all_22_0 = all_14_0
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_24_0, all_28_110, e13, e13,
% 84.85/12.46 | simplifying with (292), (368) gives:
% 84.85/12.46 | (513) all_28_110 = all_24_0
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_22_0, all_28_110, e13, e13,
% 84.85/12.46 | simplifying with (262), (368) gives:
% 84.85/12.46 | (514) all_28_110 = all_22_0
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (42) with all_18_0, all_28_110, e13, e13,
% 84.85/12.46 | simplifying with (215), (368) gives:
% 84.85/12.46 | (515) all_28_110 = all_18_0
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_12_3, all_16_15, e20, e20,
% 84.85/12.46 | simplifying with (77), (135) gives:
% 84.85/12.46 | (516) all_16_15 = all_12_3
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_16_15, all_20_15, e20, e20,
% 84.85/12.46 | simplifying with (135), (217) gives:
% 84.85/12.46 | (517) all_20_15 = all_16_15
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_20_15, all_26_15, e20, e20,
% 84.85/12.46 | simplifying with (217), (313) gives:
% 84.85/12.46 | (518) all_26_15 = all_20_15
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_4_1, all_26_15, e20, e20, simplifying
% 84.85/12.46 | with (45), (313) gives:
% 84.85/12.46 | (519) all_26_15 = all_4_1
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_20_14, all_26_14, e21, e20,
% 84.85/12.46 | simplifying with (218), (314) gives:
% 84.85/12.46 | (520) all_26_14 = all_20_14
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_16_11, all_26_14, e21, e20,
% 84.85/12.46 | simplifying with (136), (314) gives:
% 84.85/12.46 | (521) all_26_14 = all_16_11
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_20_13, all_26_13, e22, e20,
% 84.85/12.46 | simplifying with (219), (315) gives:
% 84.85/12.46 | (522) all_26_13 = all_20_13
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_16_7, all_26_13, e22, e20,
% 84.85/12.46 | simplifying with (137), (315) gives:
% 84.85/12.46 | (523) all_26_13 = all_16_7
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_20_12, all_26_12, e23, e20,
% 84.85/12.46 | simplifying with (220), (316) gives:
% 84.85/12.46 | (524) all_26_12 = all_20_12
% 84.85/12.46 |
% 84.85/12.46 | GROUND_INST: instantiating (43) with all_16_3, all_26_12, e23, e20,
% 84.85/12.46 | simplifying with (138), (316) gives:
% 84.85/12.47 | (525) all_26_12 = all_16_3
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_11, all_26_11, e20, e21,
% 84.85/12.47 | simplifying with (221), (317) gives:
% 84.85/12.47 | (526) all_26_11 = all_20_11
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_14, all_26_11, e20, e21,
% 84.85/12.47 | simplifying with (139), (317) gives:
% 84.85/12.47 | (527) all_26_11 = all_16_14
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_10_1, all_16_10, e21, e21,
% 84.85/12.47 | simplifying with (69), (140) gives:
% 84.85/12.47 | (528) all_16_10 = all_10_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with e23, all_16_10, e21, e21, simplifying
% 84.85/12.47 | with (30), (140) gives:
% 84.85/12.47 | (529) all_16_10 = e23
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_10, all_20_10, e21, e21,
% 84.85/12.47 | simplifying with (140), (222) gives:
% 84.85/12.47 | (530) all_20_10 = all_16_10
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_10, all_26_8, e21, e21,
% 84.85/12.47 | simplifying with (222), (318) gives:
% 84.85/12.47 | (531) all_26_8 = all_20_10
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_12_2, all_26_8, e21, e21, simplifying
% 84.85/12.47 | with (78), (318) gives:
% 84.85/12.47 | (532) all_26_8 = all_12_2
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_6, all_20_9, e22, e21, simplifying
% 84.85/12.47 | with (141), (223) gives:
% 84.85/12.47 | (533) all_20_9 = all_16_6
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_9, all_26_7, e22, e21, simplifying
% 84.85/12.47 | with (223), (319) gives:
% 84.85/12.47 | (534) all_26_7 = all_20_9
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with e20, all_26_7, e22, e21, simplifying with
% 84.85/12.47 | (31), (319) gives:
% 84.85/12.47 | (535) all_26_7 = e20
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_2, all_20_8, e23, e21, simplifying
% 84.85/12.47 | with (142), (224) gives:
% 84.85/12.47 | (536) all_20_8 = all_16_2
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_8, all_26_6, e23, e21, simplifying
% 84.85/12.47 | with (224), (320) gives:
% 84.85/12.47 | (537) all_26_6 = all_20_8
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with e22, all_26_6, e23, e21, simplifying with
% 84.85/12.47 | (32), (320) gives:
% 84.85/12.47 | (538) all_26_6 = e22
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_7, all_26_10, e20, e22,
% 84.85/12.47 | simplifying with (225), (321) gives:
% 84.85/12.47 | (539) all_26_10 = all_20_7
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_13, all_26_10, e20, e22,
% 84.85/12.47 | simplifying with (143), (321) gives:
% 84.85/12.47 | (540) all_26_10 = all_16_13
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_6, all_26_5, e21, e22, simplifying
% 84.85/12.47 | with (226), (322) gives:
% 84.85/12.47 | (541) all_26_5 = all_20_6
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_9, all_26_5, e21, e22, simplifying
% 84.85/12.47 | with (144), (322) gives:
% 84.85/12.47 | (542) all_26_5 = all_16_9
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_12_1, all_20_5, e22, e22, simplifying
% 84.85/12.47 | with (79), (227) gives:
% 84.85/12.47 | (543) all_20_5 = all_12_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_5, all_26_3, e22, e22, simplifying
% 84.85/12.47 | with (227), (323) gives:
% 84.85/12.47 | (544) all_26_3 = all_20_5
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_5, all_26_3, e22, e22, simplifying
% 84.85/12.47 | with (145), (323) gives:
% 84.85/12.47 | (545) all_26_3 = all_16_5
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_6_1, all_26_3, e22, e22, simplifying
% 84.85/12.47 | with (53), (323) gives:
% 84.85/12.47 | (546) all_26_3 = all_6_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_4, all_26_2, e23, e22, simplifying
% 84.85/12.47 | with (228), (324) gives:
% 84.85/12.47 | (547) all_26_2 = all_20_4
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_1, all_26_2, e23, e22, simplifying
% 84.85/12.47 | with (146), (324) gives:
% 84.85/12.47 | (548) all_26_2 = all_16_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_3, all_26_9, e20, e23, simplifying
% 84.85/12.47 | with (229), (325) gives:
% 84.85/12.47 | (549) all_26_9 = all_20_3
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_12, all_26_9, e20, e23,
% 84.85/12.47 | simplifying with (147), (325) gives:
% 84.85/12.47 | (550) all_26_9 = all_16_12
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_2, all_26_4, e21, e23, simplifying
% 84.85/12.47 | with (230), (326) gives:
% 84.85/12.47 | (551) all_26_4 = all_20_2
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_8, all_26_4, e21, e23, simplifying
% 84.85/12.47 | with (148), (326) gives:
% 84.85/12.47 | (552) all_26_4 = all_16_8
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_1, all_26_1, e22, e23, simplifying
% 84.85/12.47 | with (231), (327) gives:
% 84.85/12.47 | (553) all_26_1 = all_20_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_4, all_26_1, e22, e23, simplifying
% 84.85/12.47 | with (149), (327) gives:
% 84.85/12.47 | (554) all_26_1 = all_16_4
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_16_0, all_20_0, e23, e23, simplifying
% 84.85/12.47 | with (150), (232) gives:
% 84.85/12.47 | (555) all_20_0 = all_16_0
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_12_0, all_20_0, e23, e23, simplifying
% 84.85/12.47 | with (80), (232) gives:
% 84.85/12.47 | (556) all_20_0 = all_12_0
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_20_0, all_26_0, e23, e23, simplifying
% 84.85/12.47 | with (232), (328) gives:
% 84.85/12.47 | (557) all_26_0 = all_20_0
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (43) with all_8_1, all_26_0, e23, e23, simplifying
% 84.85/12.47 | with (61), (328) gives:
% 84.85/12.47 | (558) all_26_0 = all_8_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (38) with all_4_2, all_28_157, e10, simplifying
% 84.85/12.47 | with (48), (428) gives:
% 84.85/12.47 | (559) all_28_157 = all_4_2
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (38) with e20, all_28_153, e11, simplifying with
% 84.85/12.47 | (49), (429) gives:
% 84.85/12.47 | (560) all_28_153 = e20
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (38) with all_4_0, all_28_149, e12, simplifying
% 84.85/12.47 | with (50), (430) gives:
% 84.85/12.47 | (561) all_28_149 = all_4_0
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (38) with all_4_1, all_28_145, e13, simplifying
% 84.85/12.47 | with (51), (431) gives:
% 84.85/12.47 | (562) all_28_145 = all_4_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (39) with all_10_2, all_28_106, e10, simplifying
% 84.85/12.47 | with (72), (432) gives:
% 84.85/12.47 | (563) all_28_106 = all_10_2
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (39) with e21, all_28_103, e11, simplifying with
% 84.85/12.47 | (73), (433) gives:
% 84.85/12.47 | (564) all_28_103 = e21
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (39) with all_10_0, all_28_100, e12, simplifying
% 84.85/12.47 | with (74), (434) gives:
% 84.85/12.47 | (565) all_28_100 = all_10_0
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (39) with all_10_1, all_28_97, e13, simplifying
% 84.85/12.47 | with (75), (435) gives:
% 84.85/12.47 | (566) all_28_97 = all_10_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (40) with all_6_2, all_28_70, e10, simplifying with
% 84.85/12.47 | (56), (452) gives:
% 84.85/12.47 | (567) all_28_70 = all_6_2
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (40) with e22, all_28_67, e11, simplifying with
% 84.85/12.47 | (57), (453) gives:
% 84.85/12.47 | (568) all_28_67 = e22
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (40) with all_6_0, all_28_64, e12, simplifying with
% 84.85/12.47 | (58), (454) gives:
% 84.85/12.47 | (569) all_28_64 = all_6_0
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (40) with all_6_1, all_28_61, e13, simplifying with
% 84.85/12.47 | (59), (455) gives:
% 84.85/12.47 | (570) all_28_61 = all_6_1
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (41) with all_8_2, all_28_34, e10, simplifying with
% 84.85/12.47 | (64), (456) gives:
% 84.85/12.47 | (571) all_28_34 = all_8_2
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (41) with e23, all_28_31, e11, simplifying with
% 84.85/12.47 | (65), (457) gives:
% 84.85/12.47 | (572) all_28_31 = e23
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (41) with all_8_0, all_28_28, e12, simplifying with
% 84.85/12.47 | (66), (458) gives:
% 84.85/12.47 | (573) all_28_28 = all_8_0
% 84.85/12.47 |
% 84.85/12.47 | GROUND_INST: instantiating (41) with all_8_1, all_28_25, e13, simplifying with
% 84.85/12.47 | (67), (459) gives:
% 84.85/12.47 | (574) all_28_25 = all_8_1
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (513), (515) imply:
% 84.85/12.47 | (575) all_24_0 = all_18_0
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (513), (514) imply:
% 84.85/12.47 | (576) all_24_0 = all_22_0
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (509), (510) imply:
% 84.85/12.47 | (577) all_24_1 = all_22_1
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (509), (511) imply:
% 84.85/12.47 | (578) all_24_1 = all_18_4
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (507), (508) imply:
% 84.85/12.47 | (579) all_24_4 = all_22_2
% 84.85/12.47 |
% 84.85/12.47 | SIMP: (579) implies:
% 84.85/12.47 | (580) all_24_4 = all_22_2
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (504), (505) imply:
% 84.85/12.47 | (581) all_24_9 = all_18_12
% 84.85/12.47 |
% 84.85/12.47 | SIMP: (581) implies:
% 84.85/12.47 | (582) all_24_9 = all_18_12
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (501), (502) imply:
% 84.85/12.47 | (583) all_24_2 = all_18_1
% 84.85/12.47 |
% 84.85/12.47 | SIMP: (583) implies:
% 84.85/12.47 | (584) all_24_2 = all_18_1
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (498), (499) imply:
% 84.85/12.47 | (585) all_24_3 = all_14_1
% 84.85/12.47 |
% 84.85/12.47 | SIMP: (585) implies:
% 84.85/12.47 | (586) all_24_3 = all_14_1
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (494), (495) imply:
% 84.85/12.47 | (587) all_24_5 = all_18_9
% 84.85/12.47 |
% 84.85/12.47 | SIMP: (587) implies:
% 84.85/12.47 | (588) all_24_5 = all_18_9
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (491), (492) imply:
% 84.85/12.47 | (589) all_24_10 = all_18_13
% 84.85/12.47 |
% 84.85/12.47 | SIMP: (589) implies:
% 84.85/12.47 | (590) all_24_10 = all_18_13
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (488), (489) imply:
% 84.85/12.47 | (591) all_24_6 = all_18_2
% 84.85/12.47 |
% 84.85/12.47 | SIMP: (591) implies:
% 84.85/12.47 | (592) all_24_6 = all_18_2
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (483), (485) imply:
% 84.85/12.47 | (593) all_24_7 = all_18_6
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (483), (484) imply:
% 84.85/12.47 | (594) all_24_7 = all_22_9
% 84.85/12.47 |
% 84.85/12.47 | COMBINE_EQS: (480), (481) imply:
% 84.85/12.47 | (595) all_24_8 = e13
% 84.85/12.47 |
% 84.85/12.48 | SIMP: (595) implies:
% 84.85/12.48 | (596) all_24_8 = e13
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (474), (476) imply:
% 84.85/12.48 | (597) all_24_11 = all_18_14
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (474), (475) imply:
% 84.85/12.48 | (598) all_24_11 = all_22_11
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (472), (473) imply:
% 84.85/12.48 | (599) all_24_12 = all_18_3
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (599) implies:
% 84.85/12.48 | (600) all_24_12 = all_18_3
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (468), (470) imply:
% 84.85/12.48 | (601) all_24_13 = all_18_7
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (468), (469) imply:
% 84.85/12.48 | (602) all_24_13 = all_22_13
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (466), (467) imply:
% 84.85/12.48 | (603) all_24_14 = all_18_11
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (603) implies:
% 84.85/12.48 | (604) all_24_14 = all_18_11
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (463), (464) imply:
% 84.85/12.48 | (605) all_24_15 = all_14_3
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (605) implies:
% 84.85/12.48 | (606) all_24_15 = all_14_3
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (557), (558) imply:
% 84.85/12.48 | (607) all_20_0 = all_8_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (607) implies:
% 84.85/12.48 | (608) all_20_0 = all_8_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (553), (554) imply:
% 84.85/12.48 | (609) all_20_1 = all_16_4
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (609) implies:
% 84.85/12.48 | (610) all_20_1 = all_16_4
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (547), (548) imply:
% 84.85/12.48 | (611) all_20_4 = all_16_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (611) implies:
% 84.85/12.48 | (612) all_20_4 = all_16_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (544), (545) imply:
% 84.85/12.48 | (613) all_20_5 = all_16_5
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (613) implies:
% 84.85/12.48 | (614) all_20_5 = all_16_5
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (545), (546) imply:
% 84.85/12.48 | (615) all_16_5 = all_6_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (551), (552) imply:
% 84.85/12.48 | (616) all_20_2 = all_16_8
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (616) implies:
% 84.85/12.48 | (617) all_20_2 = all_16_8
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (541), (542) imply:
% 84.85/12.48 | (618) all_20_6 = all_16_9
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (618) implies:
% 84.85/12.48 | (619) all_20_6 = all_16_9
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (537), (538) imply:
% 84.85/12.48 | (620) all_20_8 = e22
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (620) implies:
% 84.85/12.48 | (621) all_20_8 = e22
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (534), (535) imply:
% 84.85/12.48 | (622) all_20_9 = e20
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (622) implies:
% 84.85/12.48 | (623) all_20_9 = e20
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (531), (532) imply:
% 84.85/12.48 | (624) all_20_10 = all_12_2
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (624) implies:
% 84.85/12.48 | (625) all_20_10 = all_12_2
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (549), (550) imply:
% 84.85/12.48 | (626) all_20_3 = all_16_12
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (626) implies:
% 84.85/12.48 | (627) all_20_3 = all_16_12
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (539), (540) imply:
% 84.85/12.48 | (628) all_20_7 = all_16_13
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (628) implies:
% 84.85/12.48 | (629) all_20_7 = all_16_13
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (526), (527) imply:
% 84.85/12.48 | (630) all_20_11 = all_16_14
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (524), (525) imply:
% 84.85/12.48 | (631) all_20_12 = all_16_3
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (631) implies:
% 84.85/12.48 | (632) all_20_12 = all_16_3
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (522), (523) imply:
% 84.85/12.48 | (633) all_20_13 = all_16_7
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (520), (521) imply:
% 84.85/12.48 | (634) all_20_14 = all_16_11
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (634) implies:
% 84.85/12.48 | (635) all_20_14 = all_16_11
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (518), (519) imply:
% 84.85/12.48 | (636) all_20_15 = all_4_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (636) implies:
% 84.85/12.48 | (637) all_20_15 = all_4_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (575), (576) imply:
% 84.85/12.48 | (638) all_22_0 = all_18_0
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (638) implies:
% 84.85/12.48 | (639) all_22_0 = all_18_0
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (577), (578) imply:
% 84.85/12.48 | (640) all_22_1 = all_18_4
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (640) implies:
% 84.85/12.48 | (641) all_22_1 = all_18_4
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (500), (584) imply:
% 84.85/12.48 | (642) all_22_4 = all_18_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (497), (586) imply:
% 84.85/12.48 | (643) all_22_5 = all_14_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (643) implies:
% 84.85/12.48 | (644) all_22_5 = all_14_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (506), (580) imply:
% 84.85/12.48 | (645) all_22_2 = all_18_8
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (493), (588) imply:
% 84.85/12.48 | (646) all_22_6 = all_18_9
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (646) implies:
% 84.85/12.48 | (647) all_22_6 = all_18_9
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (486), (487) imply:
% 84.85/12.48 | (648) all_22_8 = e12
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (486), (592) imply:
% 84.85/12.48 | (649) all_22_8 = all_18_2
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (593), (594) imply:
% 84.85/12.48 | (650) all_22_9 = all_18_6
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (650) implies:
% 84.85/12.48 | (651) all_22_9 = all_18_6
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (479), (596) imply:
% 84.85/12.48 | (652) all_22_10 = e13
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (652) implies:
% 84.85/12.48 | (653) all_22_10 = e13
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (503), (582) imply:
% 84.85/12.48 | (654) all_22_3 = all_18_12
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (654) implies:
% 84.85/12.48 | (655) all_22_3 = all_18_12
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (490), (590) imply:
% 84.85/12.48 | (656) all_22_7 = all_18_13
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (656) implies:
% 84.85/12.48 | (657) all_22_7 = all_18_13
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (597), (598) imply:
% 84.85/12.48 | (658) all_22_11 = all_18_14
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (658) implies:
% 84.85/12.48 | (659) all_22_11 = all_18_14
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (471), (600) imply:
% 84.85/12.48 | (660) all_22_12 = all_18_3
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (660) implies:
% 84.85/12.48 | (661) all_22_12 = all_18_3
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (601), (602) imply:
% 84.85/12.48 | (662) all_22_13 = all_18_7
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (465), (604) imply:
% 84.85/12.48 | (663) all_22_14 = all_18_11
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (462), (606) imply:
% 84.85/12.48 | (664) all_22_15 = all_14_3
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (664) implies:
% 84.85/12.48 | (665) all_22_15 = all_14_3
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (512), (639) imply:
% 84.85/12.48 | (666) all_18_0 = all_14_0
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (496), (644) imply:
% 84.85/12.48 | (667) all_18_5 = all_14_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (667) implies:
% 84.85/12.48 | (668) all_18_5 = all_14_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (648), (649) imply:
% 84.85/12.48 | (669) all_18_2 = e12
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (669) implies:
% 84.85/12.48 | (670) all_18_2 = e12
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (482), (651) imply:
% 84.85/12.48 | (671) all_18_6 = e10
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (477), (653) imply:
% 84.85/12.48 | (672) all_18_10 = e13
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (477), (478) imply:
% 84.85/12.48 | (673) all_18_10 = all_14_2
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (461), (665) imply:
% 84.85/12.48 | (674) all_18_15 = all_14_3
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (674) implies:
% 84.85/12.48 | (675) all_18_15 = all_14_3
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (555), (608) imply:
% 84.85/12.48 | (676) all_16_0 = all_8_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (555), (556) imply:
% 84.85/12.48 | (677) all_16_0 = all_12_0
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (543), (614) imply:
% 84.85/12.48 | (678) all_16_5 = all_12_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (678) implies:
% 84.85/12.48 | (679) all_16_5 = all_12_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (536), (621) imply:
% 84.85/12.48 | (680) all_16_2 = e22
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (680) implies:
% 84.85/12.48 | (681) all_16_2 = e22
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (533), (623) imply:
% 84.85/12.48 | (682) all_16_6 = e20
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (682) implies:
% 84.85/12.48 | (683) all_16_6 = e20
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (530), (625) imply:
% 84.85/12.48 | (684) all_16_10 = all_12_2
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (684) implies:
% 84.85/12.48 | (685) all_16_10 = all_12_2
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (517), (637) imply:
% 84.85/12.48 | (686) all_16_15 = all_4_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (686) implies:
% 84.85/12.48 | (687) all_16_15 = all_4_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (672), (673) imply:
% 84.85/12.48 | (688) all_14_2 = e13
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (688) implies:
% 84.85/12.48 | (689) all_14_2 = e13
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (676), (677) imply:
% 84.85/12.48 | (690) all_12_0 = all_8_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (615), (679) imply:
% 84.85/12.48 | (691) all_12_1 = all_6_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (691) implies:
% 84.85/12.48 | (692) all_12_1 = all_6_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (528), (685) imply:
% 84.85/12.48 | (693) all_12_2 = all_10_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (529), (685) imply:
% 84.85/12.48 | (694) all_12_2 = e23
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (516), (687) imply:
% 84.85/12.48 | (695) all_12_3 = all_4_1
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (695) implies:
% 84.85/12.48 | (696) all_12_3 = all_4_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (693), (694) imply:
% 84.85/12.48 | (697) all_10_1 = e23
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (697) implies:
% 84.85/12.48 | (698) all_10_1 = e23
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (543), (692) imply:
% 84.85/12.48 | (699) all_20_5 = all_6_1
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (593), (671) imply:
% 84.85/12.48 | (700) all_24_7 = e10
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (575), (666) imply:
% 84.85/12.48 | (701) all_24_0 = all_14_0
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (532), (694) imply:
% 84.85/12.48 | (702) all_26_8 = e23
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (483), (700) imply:
% 84.85/12.48 | (703) all_28_137 = e10
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (489), (670) imply:
% 84.85/12.48 | (704) all_28_134 = e12
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (508), (645) imply:
% 84.85/12.48 | (705) all_28_116 = all_18_8
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (513), (701) imply:
% 84.85/12.48 | (706) all_28_110 = all_14_0
% 84.85/12.48 |
% 84.85/12.48 | COMBINE_EQS: (566), (698) imply:
% 84.85/12.48 | (707) all_28_97 = e23
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (199), (666) imply:
% 84.85/12.48 | (708) ~ (all_18_1 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (708) implies:
% 84.85/12.48 | (709) ~ (all_18_1 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (198), (666), (670) imply:
% 84.85/12.48 | (710) ~ (all_14_0 = e12)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (197), (666) imply:
% 84.85/12.48 | (711) ~ (all_18_3 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (711) implies:
% 84.85/12.48 | (712) ~ (all_18_3 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (196), (666) imply:
% 84.85/12.48 | (713) ~ (all_18_4 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (713) implies:
% 84.85/12.48 | (714) ~ (all_18_4 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (195), (666) imply:
% 84.85/12.48 | (715) ~ (all_18_8 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (715) implies:
% 84.85/12.48 | (716) ~ (all_18_8 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (194), (666) imply:
% 84.85/12.48 | (717) ~ (all_18_12 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (717) implies:
% 84.85/12.48 | (718) ~ (all_18_12 = all_14_0)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (193), (670) imply:
% 84.85/12.48 | (719) ~ (all_18_1 = e12)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (191), (668) imply:
% 84.85/12.48 | (720) ~ (all_18_1 = all_14_1)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (188), (670) imply:
% 84.85/12.48 | (721) ~ (all_18_3 = e12)
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (721) implies:
% 84.85/12.48 | (722) ~ (all_18_3 = e12)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (187), (670), (671) imply:
% 84.85/12.48 | (723) ~ (e12 = e10)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (186), (670), (672) imply:
% 84.85/12.48 | (724) ~ (e13 = e12)
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (724) implies:
% 84.85/12.48 | (725) ~ (e13 = e12)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (185), (670) imply:
% 84.85/12.48 | (726) ~ (all_18_14 = e12)
% 84.85/12.48 |
% 84.85/12.48 | SIMP: (726) implies:
% 84.85/12.48 | (727) ~ (all_18_14 = e12)
% 84.85/12.48 |
% 84.85/12.48 | REDUCE: (182), (675) imply:
% 84.85/12.49 | (728) ~ (all_18_3 = all_14_3)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (181), (668) imply:
% 84.85/12.49 | (729) ~ (all_18_4 = all_14_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (180), (671) imply:
% 84.85/12.49 | (730) ~ (all_18_4 = e10)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (176), (668), (671) imply:
% 84.85/12.49 | (731) ~ (all_14_1 = e10)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (175), (668) imply:
% 84.85/12.49 | (732) ~ (all_18_7 = all_14_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (732) implies:
% 84.85/12.49 | (733) ~ (all_18_7 = all_14_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (174), (668) imply:
% 84.85/12.49 | (734) ~ (all_18_9 = all_14_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (734) implies:
% 84.85/12.49 | (735) ~ (all_18_9 = all_14_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (173), (668) imply:
% 84.85/12.49 | (736) ~ (all_18_13 = all_14_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (736) implies:
% 84.85/12.49 | (737) ~ (all_18_13 = all_14_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (172), (671) imply:
% 84.85/12.49 | (738) ~ (all_18_7 = e10)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (738) implies:
% 84.85/12.49 | (739) ~ (all_18_7 = e10)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (171), (671), (672) imply:
% 84.85/12.49 | (740) ~ (e13 = e10)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (740) implies:
% 84.85/12.49 | (741) ~ (e13 = e10)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (170), (671) imply:
% 84.85/12.49 | (742) ~ (all_18_14 = e10)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (742) implies:
% 84.85/12.49 | (743) ~ (all_18_14 = e10)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (168), (675) imply:
% 84.85/12.49 | (744) ~ (all_18_7 = all_14_3)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (166), (672) imply:
% 84.85/12.49 | (745) ~ (all_18_8 = e13)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (163), (672) imply:
% 84.85/12.49 | (746) ~ (all_18_9 = e13)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (160), (672) imply:
% 84.85/12.49 | (747) ~ (all_18_11 = e13)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (747) implies:
% 84.85/12.49 | (748) ~ (all_18_11 = e13)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (159), (672) imply:
% 84.85/12.49 | (749) ~ (all_18_14 = e13)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (749) implies:
% 84.85/12.49 | (750) ~ (all_18_14 = e13)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (158), (675) imply:
% 84.85/12.49 | (751) ~ (all_18_11 = all_14_3)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (155), (675) imply:
% 84.85/12.49 | (752) ~ (all_18_12 = all_14_3)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (153), (675) imply:
% 84.85/12.49 | (753) ~ (all_18_13 = all_14_3)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (152), (675) imply:
% 84.85/12.49 | (754) ~ (all_18_14 = all_14_3)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (134), (676) imply:
% 84.85/12.49 | (755) ~ (all_16_1 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (755) implies:
% 84.85/12.49 | (756) ~ (all_16_1 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (133), (676), (681) imply:
% 84.85/12.49 | (757) ~ (all_8_1 = e22)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (132), (676) imply:
% 84.85/12.49 | (758) ~ (all_16_3 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (758) implies:
% 84.85/12.49 | (759) ~ (all_16_3 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (131), (676) imply:
% 84.85/12.49 | (760) ~ (all_16_4 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (760) implies:
% 84.85/12.49 | (761) ~ (all_16_4 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (130), (676) imply:
% 84.85/12.49 | (762) ~ (all_16_8 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (762) implies:
% 84.85/12.49 | (763) ~ (all_16_8 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (129), (676) imply:
% 84.85/12.49 | (764) ~ (all_16_12 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (764) implies:
% 84.85/12.49 | (765) ~ (all_16_12 = all_8_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (128), (681) imply:
% 84.85/12.49 | (766) ~ (all_16_1 = e22)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (126), (615) imply:
% 84.85/12.49 | (767) ~ (all_16_1 = all_6_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (123), (681) imply:
% 84.85/12.49 | (768) ~ (all_16_3 = e22)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (768) implies:
% 84.85/12.49 | (769) ~ (all_16_3 = e22)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (122), (681), (683) imply:
% 84.85/12.49 | (770) ~ (e22 = e20)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (121), (529), (681) imply:
% 84.85/12.49 | (771) ~ (e23 = e22)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (771) implies:
% 84.85/12.49 | (772) ~ (e23 = e22)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (120), (681) imply:
% 84.85/12.49 | (773) ~ (all_16_14 = e22)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (773) implies:
% 84.85/12.49 | (774) ~ (all_16_14 = e22)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (117), (687) imply:
% 84.85/12.49 | (775) ~ (all_16_3 = all_4_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (116), (615) imply:
% 84.85/12.49 | (776) ~ (all_16_4 = all_6_1)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (115), (683) imply:
% 84.85/12.49 | (777) ~ (all_16_4 = e20)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (111), (615), (683) imply:
% 84.85/12.49 | (778) ~ (all_6_1 = e20)
% 84.85/12.49 |
% 84.85/12.49 | REDUCE: (110), (615) imply:
% 84.85/12.49 | (779) ~ (all_16_7 = all_6_1)
% 84.85/12.49 |
% 84.85/12.49 | SIMP: (779) implies:
% 84.98/12.49 | (780) ~ (all_16_7 = all_6_1)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (109), (615) imply:
% 84.98/12.49 | (781) ~ (all_16_9 = all_6_1)
% 84.98/12.49 |
% 84.98/12.49 | SIMP: (781) implies:
% 84.98/12.49 | (782) ~ (all_16_9 = all_6_1)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (108), (615) imply:
% 84.98/12.49 | (783) ~ (all_16_13 = all_6_1)
% 84.98/12.49 |
% 84.98/12.49 | SIMP: (783) implies:
% 84.98/12.49 | (784) ~ (all_16_13 = all_6_1)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (107), (683) imply:
% 84.98/12.49 | (785) ~ (all_16_7 = e20)
% 84.98/12.49 |
% 84.98/12.49 | SIMP: (785) implies:
% 84.98/12.49 | (786) ~ (all_16_7 = e20)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (106), (683) imply:
% 84.98/12.49 | (787) ~ (all_16_14 = e20)
% 84.98/12.49 |
% 84.98/12.49 | SIMP: (787) implies:
% 84.98/12.49 | (788) ~ (all_16_14 = e20)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (104), (687) imply:
% 84.98/12.49 | (789) ~ (all_16_7 = all_4_1)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (102), (529) imply:
% 84.98/12.49 | (790) ~ (all_16_8 = e23)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (99), (529) imply:
% 84.98/12.49 | (791) ~ (all_16_9 = e23)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (96), (529) imply:
% 84.98/12.49 | (792) ~ (all_16_11 = e23)
% 84.98/12.49 |
% 84.98/12.49 | SIMP: (792) implies:
% 84.98/12.49 | (793) ~ (all_16_11 = e23)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (95), (687) imply:
% 84.98/12.49 | (794) ~ (all_16_11 = all_4_1)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (92), (687) imply:
% 84.98/12.49 | (795) ~ (all_16_12 = all_4_1)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (90), (687) imply:
% 84.98/12.49 | (796) ~ (all_16_13 = all_4_1)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (89), (687) imply:
% 84.98/12.49 | (797) ~ (all_16_14 = all_4_1)
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (451), (706) imply:
% 84.98/12.49 | (798) h2(all_14_0) = all_28_73
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (450), (511) imply:
% 84.98/12.49 | (799) h2(all_18_4) = all_28_75
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (449), (705) imply:
% 84.98/12.49 | (800) h2(all_18_8) = all_28_77
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (448), (505) imply:
% 84.98/12.49 | (801) h2(all_18_12) = all_28_79
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (447), (502) imply:
% 84.98/12.49 | (802) h2(all_18_1) = all_28_81
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (446), (499) imply:
% 84.98/12.49 | (803) h2(all_14_1) = all_28_83
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (445), (495) imply:
% 84.98/12.49 | (804) h2(all_18_9) = all_28_85
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (444), (492) imply:
% 84.98/12.49 | (805) h2(all_18_13) = all_28_87
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (443), (704) imply:
% 84.98/12.49 | (806) h2(e12) = all_28_89
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (442), (703) imply:
% 84.98/12.49 | (807) h2(e10) = all_28_91
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (441), (481) imply:
% 84.98/12.49 | (808) h2(e13) = all_28_93
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (440), (476) imply:
% 84.98/12.49 | (809) h2(all_18_14) = all_28_95
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (439), (473) imply:
% 84.98/12.49 | (810) h2(all_18_3) = all_28_98
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (438), (470) imply:
% 84.98/12.49 | (811) h2(all_18_7) = all_28_101
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (437), (467) imply:
% 84.98/12.49 | (812) h2(all_18_11) = all_28_104
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (436), (464) imply:
% 84.98/12.49 | (813) h2(all_14_3) = all_28_107
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (75), (698) imply:
% 84.98/12.49 | (814) h2(e13) = e23
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (427), (573), (574) imply:
% 84.98/12.49 | (815) op2(all_8_1, all_8_0) = all_28_2
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (426), (572), (574) imply:
% 84.98/12.49 | (816) op2(all_8_1, e23) = all_28_4
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (425), (571), (574) imply:
% 84.98/12.49 | (817) op2(all_8_1, all_8_2) = all_28_6
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (424), (573), (574) imply:
% 84.98/12.49 | (818) op2(all_8_0, all_8_1) = all_28_8
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (423), (573) imply:
% 84.98/12.49 | (819) op2(all_8_0, all_8_0) = all_28_10
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (422), (572), (573) imply:
% 84.98/12.49 | (820) op2(all_8_0, e23) = all_28_12
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (421), (571), (573) imply:
% 84.98/12.49 | (821) op2(all_8_0, all_8_2) = all_28_14
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (420), (572), (574) imply:
% 84.98/12.49 | (822) op2(e23, all_8_1) = all_28_16
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (419), (572), (573) imply:
% 84.98/12.49 | (823) op2(e23, all_8_0) = all_28_18
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (418), (572) imply:
% 84.98/12.49 | (824) op2(e23, e23) = all_28_20
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (417), (571), (572) imply:
% 84.98/12.49 | (825) op2(e23, all_8_2) = all_28_22
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (416), (571), (574) imply:
% 84.98/12.49 | (826) op2(all_8_2, all_8_1) = all_28_24
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (415), (571), (573) imply:
% 84.98/12.49 | (827) op2(all_8_2, all_8_0) = all_28_27
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (414), (571), (572) imply:
% 84.98/12.49 | (828) op2(all_8_2, e23) = all_28_30
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (413), (571) imply:
% 84.98/12.49 | (829) op2(all_8_2, all_8_2) = all_28_33
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (412), (569), (570) imply:
% 84.98/12.49 | (830) op2(all_6_1, all_6_0) = all_28_38
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (411), (568), (570) imply:
% 84.98/12.49 | (831) op2(all_6_1, e22) = all_28_40
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (410), (567), (570) imply:
% 84.98/12.49 | (832) op2(all_6_1, all_6_2) = all_28_42
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (409), (569) imply:
% 84.98/12.49 | (833) op2(all_6_0, all_6_0) = all_28_46
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (408), (568), (569) imply:
% 84.98/12.49 | (834) op2(all_6_0, e22) = all_28_48
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (407), (567), (569) imply:
% 84.98/12.49 | (835) op2(all_6_0, all_6_2) = all_28_50
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (406), (568), (570) imply:
% 84.98/12.49 | (836) op2(e22, all_6_1) = all_28_52
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (405), (568), (569) imply:
% 84.98/12.49 | (837) op2(e22, all_6_0) = all_28_54
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (404), (568) imply:
% 84.98/12.49 | (838) op2(e22, e22) = all_28_56
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (403), (567), (568) imply:
% 84.98/12.49 | (839) op2(e22, all_6_2) = all_28_58
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (402), (567), (570) imply:
% 84.98/12.49 | (840) op2(all_6_2, all_6_1) = all_28_60
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (401), (567), (568) imply:
% 84.98/12.49 | (841) op2(all_6_2, e22) = all_28_66
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (400), (707) imply:
% 84.98/12.49 | (842) op2(e23, e23) = all_28_72
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (399), (565), (707) imply:
% 84.98/12.49 | (843) op2(e23, all_10_0) = all_28_74
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (398), (564), (707) imply:
% 84.98/12.49 | (844) op2(e23, e21) = all_28_76
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (397), (563), (707) imply:
% 84.98/12.49 | (845) op2(e23, all_10_2) = all_28_78
% 84.98/12.49 |
% 84.98/12.49 | REDUCE: (396), (565), (707) imply:
% 84.98/12.49 | (846) op2(all_10_0, e23) = all_28_80
% 84.98/12.49 |
% 84.98/12.50 | REDUCE: (395), (565) imply:
% 84.98/12.50 | (847) op2(all_10_0, all_10_0) = all_28_82
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (394), (564), (565) imply:
% 84.98/12.50 | (848) op2(all_10_0, e21) = all_28_84
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (393), (563), (565) imply:
% 84.98/12.50 | (849) op2(all_10_0, all_10_2) = all_28_86
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (392), (564), (707) imply:
% 84.98/12.50 | (850) op2(e21, e23) = all_28_88
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (391), (564), (565) imply:
% 84.98/12.50 | (851) op2(e21, all_10_0) = all_28_90
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (390), (564) imply:
% 84.98/12.50 | (852) op2(e21, e21) = all_28_92
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (389), (563), (564) imply:
% 84.98/12.50 | (853) op2(e21, all_10_2) = all_28_94
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (388), (563), (707) imply:
% 84.98/12.50 | (854) op2(all_10_2, e23) = all_28_96
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (387), (563), (565) imply:
% 84.98/12.50 | (855) op2(all_10_2, all_10_0) = all_28_99
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (386), (563), (564) imply:
% 84.98/12.50 | (856) op2(all_10_2, e21) = all_28_102
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (385), (563) imply:
% 84.98/12.50 | (857) op2(all_10_2, all_10_2) = all_28_105
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (384), (562) imply:
% 84.98/12.50 | (858) op2(all_4_1, all_4_1) = all_28_108
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (383), (561), (562) imply:
% 84.98/12.50 | (859) op2(all_4_1, all_4_0) = all_28_111
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (382), (560), (562) imply:
% 84.98/12.50 | (860) op2(all_4_1, e20) = all_28_114
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (381), (559), (562) imply:
% 84.98/12.50 | (861) op2(all_4_1, all_4_2) = all_28_117
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (380), (561), (562) imply:
% 84.98/12.50 | (862) op2(all_4_0, all_4_1) = all_28_120
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (379), (561) imply:
% 84.98/12.50 | (863) op2(all_4_0, all_4_0) = all_28_123
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (378), (560), (561) imply:
% 84.98/12.50 | (864) op2(all_4_0, e20) = all_28_126
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (377), (559), (561) imply:
% 84.98/12.50 | (865) op2(all_4_0, all_4_2) = all_28_129
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (376), (560), (562) imply:
% 84.98/12.50 | (866) op2(e20, all_4_1) = all_28_132
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (375), (560), (561) imply:
% 84.98/12.50 | (867) op2(e20, all_4_0) = all_28_135
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (374), (560) imply:
% 84.98/12.50 | (868) op2(e20, e20) = all_28_138
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (373), (559), (560) imply:
% 84.98/12.50 | (869) op2(e20, all_4_2) = all_28_141
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (372), (559), (562) imply:
% 84.98/12.50 | (870) op2(all_4_2, all_4_1) = all_28_144
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (371), (559), (561) imply:
% 84.98/12.50 | (871) op2(all_4_2, all_4_0) = all_28_148
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (370), (559), (560) imply:
% 84.98/12.50 | (872) op2(all_4_2, e20) = all_28_152
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (369), (559) imply:
% 84.98/12.50 | (873) op2(all_4_2, all_4_2) = all_28_156
% 84.98/12.50 |
% 84.98/12.50 | REDUCE: (70), (698) imply:
% 84.98/12.50 | (874) op2(e21, e23) = all_10_0
% 84.98/12.50 |
% 84.98/12.50 | BETA: splitting (267) gives:
% 84.98/12.50 |
% 84.98/12.50 | Case 1:
% 84.98/12.50 | |
% 84.98/12.50 | | (875) all_22_11 = e11
% 84.98/12.50 | |
% 84.98/12.50 | | COMBINE_EQS: (659), (875) imply:
% 84.98/12.50 | | (876) all_18_14 = e11
% 84.98/12.50 | |
% 84.98/12.50 | | SIMP: (876) implies:
% 84.98/12.50 | | (877) all_18_14 = e11
% 84.98/12.50 | |
% 84.98/12.50 | | COMBINE_EQS: (597), (877) imply:
% 84.98/12.50 | | (878) all_24_11 = e11
% 84.98/12.50 | |
% 84.98/12.50 | | REDUCE: (156), (877) imply:
% 84.98/12.50 | | (879) ~ (all_18_12 = e11)
% 84.98/12.50 | |
% 84.98/12.50 | | REDUCE: (154), (877) imply:
% 84.98/12.50 | | (880) ~ (all_18_13 = e11)
% 84.98/12.50 | |
% 84.98/12.50 | | REDUCE: (754), (877) imply:
% 84.98/12.50 | | (881) ~ (all_14_3 = e11)
% 84.98/12.50 | |
% 84.98/12.50 | | SIMP: (881) implies:
% 84.98/12.50 | | (882) ~ (all_14_3 = e11)
% 84.98/12.50 | |
% 84.98/12.50 | | REDUCE: (750), (877) imply:
% 84.98/12.50 | | (883) ~ (e13 = e11)
% 84.98/12.50 | |
% 84.98/12.50 | | SIMP: (883) implies:
% 84.98/12.50 | | (884) ~ (e13 = e11)
% 84.98/12.50 | |
% 84.98/12.50 | | REDUCE: (727), (877) imply:
% 84.98/12.50 | | (885) ~ (e12 = e11)
% 84.98/12.50 | |
% 84.98/12.50 | | SIMP: (885) implies:
% 84.98/12.50 | | (886) ~ (e12 = e11)
% 84.98/12.50 | |
% 84.98/12.50 | | REDUCE: (743), (877) imply:
% 84.98/12.50 | | (887) ~ (e11 = e10)
% 84.98/12.50 | |
% 84.98/12.50 | | REDUCE: (809), (877) imply:
% 84.98/12.50 | | (888) h2(e11) = all_28_95
% 84.98/12.50 | |
% 84.98/12.50 | | BETA: splitting (335) gives:
% 84.98/12.50 | |
% 84.98/12.50 | | Case 1:
% 84.98/12.50 | | |
% 84.98/12.50 | | | (889) all_26_6 = e21
% 84.98/12.50 | | |
% 84.98/12.50 | | | COMBINE_EQS: (538), (889) imply:
% 84.98/12.50 | | | (890) e22 = e21
% 84.98/12.50 | | |
% 84.98/12.50 | | | REDUCE: (23), (890) imply:
% 84.98/12.50 | | | (891) $false
% 84.98/12.50 | | |
% 84.98/12.50 | | | CLOSE: (891) is inconsistent.
% 84.98/12.50 | | |
% 84.98/12.50 | | Case 2:
% 84.98/12.50 | | |
% 84.98/12.50 | | | (892) all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21
% 84.98/12.50 | | |
% 84.98/12.50 | | | BETA: splitting (892) gives:
% 84.98/12.50 | | |
% 84.98/12.50 | | | Case 1:
% 84.98/12.50 | | | |
% 84.98/12.50 | | | | (893) all_26_7 = e21
% 84.98/12.50 | | | |
% 84.98/12.50 | | | | COMBINE_EQS: (535), (893) imply:
% 84.98/12.50 | | | | (894) e21 = e20
% 84.98/12.50 | | | |
% 84.98/12.50 | | | | SIMP: (894) implies:
% 84.98/12.50 | | | | (895) e21 = e20
% 84.98/12.50 | | | |
% 84.98/12.50 | | | | REDUCE: (22), (895) imply:
% 84.98/12.50 | | | | (896) $false
% 84.98/12.50 | | | |
% 84.98/12.50 | | | | CLOSE: (896) is inconsistent.
% 84.98/12.50 | | | |
% 84.98/12.50 | | | Case 2:
% 84.98/12.50 | | | |
% 84.98/12.50 | | | | (897) all_26_8 = e21 | all_26_11 = e21
% 84.98/12.50 | | | |
% 84.98/12.50 | | | | BETA: splitting (237) gives:
% 84.98/12.50 | | | |
% 84.98/12.50 | | | | Case 1:
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | (898) all_20_11 = e21
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | COMBINE_EQS: (630), (898) imply:
% 84.98/12.50 | | | | | (899) all_16_14 = e21
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | COMBINE_EQS: (527), (899) imply:
% 84.98/12.50 | | | | | (900) all_26_11 = e21
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | REDUCE: (93), (899) imply:
% 84.98/12.50 | | | | | (901) ~ (all_16_12 = e21)
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | REDUCE: (91), (899) imply:
% 84.98/12.50 | | | | | (902) ~ (all_16_13 = e21)
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | REDUCE: (797), (899) imply:
% 84.98/12.50 | | | | | (903) ~ (all_4_1 = e21)
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | SIMP: (903) implies:
% 84.98/12.50 | | | | | (904) ~ (all_4_1 = e21)
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | REDUCE: (774), (899) imply:
% 84.98/12.50 | | | | | (905) ~ (e22 = e21)
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | REDUCE: (139), (899) imply:
% 84.98/12.50 | | | | | (906) op2(e21, e20) = e21
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_4_1, all_28_138, e20, e20,
% 84.98/12.50 | | | | | simplifying with (45), (868) gives:
% 84.98/12.50 | | | | | (907) all_28_138 = all_4_1
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_4_0, all_28_132, all_4_1,
% 84.98/12.50 | | | | | e20, simplifying with (46), (866) gives:
% 84.98/12.50 | | | | | (908) all_28_132 = all_4_0
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_4_2, all_28_135, all_4_0,
% 84.98/12.50 | | | | | e20, simplifying with (47), (867) gives:
% 84.98/12.50 | | | | | (909) all_28_135 = all_4_2
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with e23, all_28_92, e21, e21,
% 84.98/12.50 | | | | | simplifying with (30), (852) gives:
% 84.98/12.50 | | | | | (910) all_28_92 = e23
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with e22, all_28_88, e23, e21,
% 84.98/12.50 | | | | | simplifying with (32), (850) gives:
% 84.98/12.50 | | | | | (911) all_28_88 = e22
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_10_0, all_28_88, e23, e21,
% 84.98/12.50 | | | | | simplifying with (850), (874) gives:
% 84.98/12.50 | | | | | (912) all_28_88 = all_10_0
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_10_2, all_28_90, all_10_0,
% 84.98/12.50 | | | | | e21, simplifying with (71), (851) gives:
% 84.98/12.50 | | | | | (913) all_28_90 = all_10_2
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_6_1, all_28_56, e22, e22,
% 84.98/12.50 | | | | | simplifying with (53), (838) gives:
% 84.98/12.50 | | | | | (914) all_28_56 = all_6_1
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_6_0, all_28_52, all_6_1, e22,
% 84.98/12.50 | | | | | simplifying with (54), (836) gives:
% 84.98/12.50 | | | | | (915) all_28_52 = all_6_0
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_6_2, all_28_54, all_6_0, e22,
% 84.98/12.50 | | | | | simplifying with (55), (837) gives:
% 84.98/12.50 | | | | | (916) all_28_54 = all_6_2
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_16_8, all_28_76, e21, e23,
% 84.98/12.50 | | | | | simplifying with (148), (844) gives:
% 84.98/12.50 | | | | | (917) all_28_76 = all_16_8
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_8_1, all_28_20, e23, e23,
% 84.98/12.50 | | | | | simplifying with (61), (824) gives:
% 84.98/12.50 | | | | | (918) all_28_20 = all_8_1
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_28_72, all_28_20, e23, e23,
% 84.98/12.50 | | | | | simplifying with (824), (842) gives:
% 84.98/12.50 | | | | | (919) all_28_20 = all_28_72
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_8_0, all_28_16, all_8_1, e23,
% 84.98/12.50 | | | | | simplifying with (62), (822) gives:
% 84.98/12.50 | | | | | (920) all_28_16 = all_8_0
% 84.98/12.50 | | | | |
% 84.98/12.50 | | | | | GROUND_INST: instantiating (43) with all_8_2, all_28_18, all_8_0, e23,
% 84.98/12.50 | | | | | simplifying with (63), (823) gives:
% 84.98/12.50 | | | | | (921) all_28_18 = all_8_2
% 84.98/12.50 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (39) with all_10_2, all_28_91, e10,
% 84.98/12.51 | | | | | simplifying with (72), (807) gives:
% 84.98/12.51 | | | | | (922) all_28_91 = all_10_2
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (39) with e21, all_28_95, e11, simplifying
% 84.98/12.51 | | | | | with (73), (888) gives:
% 84.98/12.51 | | | | | (923) all_28_95 = e21
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (39) with all_10_0, all_28_89, e12,
% 84.98/12.51 | | | | | simplifying with (74), (806) gives:
% 84.98/12.51 | | | | | (924) all_28_89 = all_10_0
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (39) with e23, all_28_93, e13, simplifying
% 84.98/12.51 | | | | | with (808), (814) gives:
% 84.98/12.51 | | | | | (925) all_28_93 = e23
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | COMBINE_EQS: (918), (919) imply:
% 84.98/12.51 | | | | | (926) all_28_72 = all_8_1
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | SIMP: (926) implies:
% 84.98/12.51 | | | | | (927) all_28_72 = all_8_1
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | COMBINE_EQS: (911), (912) imply:
% 84.98/12.51 | | | | | (928) all_10_0 = e22
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | SIMP: (928) implies:
% 84.98/12.51 | | | | | (929) all_10_0 = e22
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | COMBINE_EQS: (565), (929) imply:
% 84.98/12.51 | | | | | (930) all_28_100 = e22
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | COMBINE_EQS: (924), (929) imply:
% 84.98/12.51 | | | | | (931) all_28_89 = e22
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (74), (929) imply:
% 84.98/12.51 | | | | | (932) h2(e12) = e22
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (847), (929) imply:
% 84.98/12.51 | | | | | (933) op2(e22, e22) = all_28_82
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (849), (929) imply:
% 84.98/12.51 | | | | | (934) op2(e22, all_10_2) = all_28_86
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (846), (929) imply:
% 84.98/12.51 | | | | | (935) op2(e22, e23) = all_28_80
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (848), (929) imply:
% 84.98/12.51 | | | | | (936) op2(e22, e21) = all_28_84
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (855), (929) imply:
% 84.98/12.51 | | | | | (937) op2(all_10_2, e22) = all_28_99
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (843), (929) imply:
% 84.98/12.51 | | | | | (938) op2(e23, e22) = all_28_74
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (71), (929) imply:
% 84.98/12.51 | | | | | (939) op2(e21, e22) = all_10_2
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with e20, all_10_2, e22, e21,
% 84.98/12.51 | | | | | simplifying with (31), (939) gives:
% 84.98/12.51 | | | | | (940) all_10_2 = e20
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_16_9, all_28_84, e21, e22,
% 84.98/12.51 | | | | | simplifying with (144), (936) gives:
% 84.98/12.51 | | | | | (941) all_28_84 = all_16_9
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_6_1, all_28_82, e22, e22,
% 84.98/12.51 | | | | | simplifying with (53), (933) gives:
% 84.98/12.51 | | | | | (942) all_28_82 = all_6_1
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_16_1, all_28_80, e23, e22,
% 84.98/12.51 | | | | | simplifying with (146), (935) gives:
% 84.98/12.51 | | | | | (943) all_28_80 = all_16_1
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_16_4, all_28_74, e22, e23,
% 84.98/12.51 | | | | | simplifying with (149), (938) gives:
% 84.98/12.51 | | | | | (944) all_28_74 = all_16_4
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | COMBINE_EQS: (563), (940) imply:
% 84.98/12.51 | | | | | (945) all_28_106 = e20
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | COMBINE_EQS: (922), (940) imply:
% 84.98/12.51 | | | | | (946) all_28_91 = e20
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | COMBINE_EQS: (913), (940) imply:
% 84.98/12.51 | | | | | (947) all_28_90 = e20
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (72), (940) imply:
% 84.98/12.51 | | | | | (948) h2(e10) = e20
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (857), (940) imply:
% 84.98/12.51 | | | | | (949) op2(e20, e20) = all_28_105
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (854), (940) imply:
% 84.98/12.51 | | | | | (950) op2(e20, e23) = all_28_96
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (937), (940) imply:
% 84.98/12.51 | | | | | (951) op2(e20, e22) = all_28_99
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (856), (940) imply:
% 84.98/12.51 | | | | | (952) op2(e20, e21) = all_28_102
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (845), (940) imply:
% 84.98/12.51 | | | | | (953) op2(e23, e20) = all_28_78
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (934), (940) imply:
% 84.98/12.51 | | | | | (954) op2(e22, e20) = all_28_86
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | REDUCE: (853), (940) imply:
% 84.98/12.51 | | | | | (955) op2(e21, e20) = all_28_94
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_4_1, all_28_105, e20, e20,
% 84.98/12.51 | | | | | simplifying with (45), (949) gives:
% 84.98/12.51 | | | | | (956) all_28_105 = all_4_1
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_16_11, all_28_102, e21, e20,
% 84.98/12.51 | | | | | simplifying with (136), (952) gives:
% 84.98/12.51 | | | | | (957) all_28_102 = all_16_11
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_16_7, all_28_99, e22, e20,
% 84.98/12.51 | | | | | simplifying with (137), (951) gives:
% 84.98/12.51 | | | | | (958) all_28_99 = all_16_7
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_16_3, all_28_96, e23, e20,
% 84.98/12.51 | | | | | simplifying with (138), (950) gives:
% 84.98/12.51 | | | | | (959) all_28_96 = all_16_3
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with e21, all_28_94, e20, e21,
% 84.98/12.51 | | | | | simplifying with (906), (955) gives:
% 84.98/12.51 | | | | | (960) all_28_94 = e21
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_16_13, all_28_86, e20, e22,
% 84.98/12.51 | | | | | simplifying with (143), (954) gives:
% 84.98/12.51 | | | | | (961) all_28_86 = all_16_13
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | GROUND_INST: instantiating (43) with all_16_12, all_28_78, e20, e23,
% 84.98/12.51 | | | | | simplifying with (147), (953) gives:
% 84.98/12.51 | | | | | (962) all_28_78 = all_16_12
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | BETA: splitting (18) gives:
% 84.98/12.51 | | | | |
% 84.98/12.51 | | | | | Case 1:
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | (963) unit2 = e21
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | REDUCE: (17), (963) imply:
% 84.98/12.51 | | | | | | (964) op2(e21, e23) = e23
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | REDUCE: (16), (963) imply:
% 84.98/12.51 | | | | | | (965) op2(e21, e22) = e22
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | REDUCE: (12), (963) imply:
% 84.98/12.51 | | | | | | (966) op2(e21, e21) = e21
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | GROUND_INST: instantiating (43) with e23, e21, e21, e21, simplifying
% 84.98/12.51 | | | | | | with (30), (966) gives:
% 84.98/12.51 | | | | | | (967) e23 = e21
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | GROUND_INST: instantiating (43) with e20, e22, e22, e21, simplifying
% 84.98/12.51 | | | | | | with (31), (965) gives:
% 84.98/12.51 | | | | | | (968) e22 = e20
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | GROUND_INST: instantiating (43) with e22, e23, e23, e21, simplifying
% 84.98/12.51 | | | | | | with (32), (964) gives:
% 84.98/12.51 | | | | | | (969) e23 = e22
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | COMBINE_EQS: (967), (969) imply:
% 84.98/12.51 | | | | | | (970) e22 = e21
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | SIMP: (970) implies:
% 84.98/12.51 | | | | | | (971) e22 = e21
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | REF_CLOSE: (22), (968), (971) are inconsistent by sub-proof #178.
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | Case 2:
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | (972) ~ (unit2 = e21)
% 84.98/12.51 | | | | | | (973) unit2 = e23 | unit2 = e22 | unit2 = e20
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | BETA: splitting (9) gives:
% 84.98/12.51 | | | | | |
% 84.98/12.51 | | | | | | Case 1:
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | (974) unit1 = e11
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | REDUCE: (8), (974) imply:
% 84.98/12.51 | | | | | | | (975) op1(e11, e13) = e13
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | REDUCE: (7), (974) imply:
% 84.98/12.51 | | | | | | | (976) op1(e11, e12) = e12
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | REDUCE: (3), (974) imply:
% 84.98/12.51 | | | | | | | (977) op1(e11, e11) = e11
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | GROUND_INST: instantiating (42) with e13, e11, e11, e11,
% 84.98/12.51 | | | | | | | simplifying with (27), (977) gives:
% 84.98/12.51 | | | | | | | (978) e13 = e11
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | GROUND_INST: instantiating (42) with e10, e12, e12, e11,
% 84.98/12.51 | | | | | | | simplifying with (28), (976) gives:
% 84.98/12.51 | | | | | | | (979) e12 = e10
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | GROUND_INST: instantiating (42) with e12, e13, e13, e11,
% 84.98/12.51 | | | | | | | simplifying with (29), (975) gives:
% 84.98/12.51 | | | | | | | (980) e13 = e12
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | COMBINE_EQS: (978), (980) imply:
% 84.98/12.51 | | | | | | | (981) e12 = e11
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | SIMP: (981) implies:
% 84.98/12.51 | | | | | | | (982) e12 = e11
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | REF_CLOSE: (887), (979), (982) are inconsistent by sub-proof #177.
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | Case 2:
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | (983) ~ (unit1 = e11)
% 84.98/12.51 | | | | | | | (984) unit1 = e13 | unit1 = e12 | unit1 = e10
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | BETA: splitting (81) gives:
% 84.98/12.51 | | | | | | |
% 84.98/12.51 | | | | | | | Case 1:
% 84.98/12.51 | | | | | | | |
% 84.98/12.51 | | | | | | | | (985) ~ (all_12_0 = e23)
% 84.98/12.51 | | | | | | | |
% 84.98/12.51 | | | | | | | | REDUCE: (690), (985) imply:
% 84.98/12.51 | | | | | | | | (986) ~ (all_8_1 = e23)
% 84.98/12.51 | | | | | | | |
% 84.98/12.51 | | | | | | | | BETA: splitting (87) gives:
% 84.98/12.51 | | | | | | | |
% 84.98/12.51 | | | | | | | | Case 1:
% 84.98/12.51 | | | | | | | | |
% 84.98/12.51 | | | | | | | | | (987) ~ (all_14_0 = e13)
% 84.98/12.51 | | | | | | | | |
% 84.98/12.51 | | | | | | | | | BETA: splitting (293) gives:
% 84.98/12.51 | | | | | | | | |
% 84.98/12.51 | | | | | | | | | Case 1:
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | (988) all_24_15 = e10
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | COMBINE_EQS: (606), (988) imply:
% 84.98/12.51 | | | | | | | | | | (989) all_14_3 = e10
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | SIMP: (989) implies:
% 84.98/12.51 | | | | | | | | | | (990) all_14_3 = e10
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | REDUCE: (728), (990) imply:
% 84.98/12.51 | | | | | | | | | | (991) ~ (all_18_3 = e10)
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | REDUCE: (751), (990) imply:
% 84.98/12.51 | | | | | | | | | | (992) ~ (all_18_11 = e10)
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | REDUCE: (752), (990) imply:
% 84.98/12.51 | | | | | | | | | | (993) ~ (all_18_12 = e10)
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | REDUCE: (813), (990) imply:
% 84.98/12.51 | | | | | | | | | | (994) h2(e10) = all_28_107
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | GROUND_INST: instantiating (39) with e20, all_28_107, e10,
% 84.98/12.51 | | | | | | | | | | simplifying with (948), (994) gives:
% 84.98/12.51 | | | | | | | | | | (995) all_28_107 = e20
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | BETA: splitting (245) gives:
% 84.98/12.51 | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | Case 1:
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | (996) all_20_0 = e21
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | COMBINE_EQS: (608), (996) imply:
% 84.98/12.51 | | | | | | | | | | | (997) all_8_1 = e21
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | SIMP: (997) implies:
% 84.98/12.51 | | | | | | | | | | | (998) all_8_1 = e21
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | COMBINE_EQS: (558), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (999) all_26_0 = e21
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | REDUCE: (756), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (1000) ~ (all_16_1 = e21)
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | REDUCE: (759), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (1001) ~ (all_16_3 = e21)
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | REDUCE: (761), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (1002) ~ (all_16_4 = e21)
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | REDUCE: (763), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (1003) ~ (all_16_8 = e21)
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | REDUCE: (815), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (1004) op2(e21, all_8_0) = all_28_2
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | REDUCE: (817), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (1005) op2(e21, all_8_2) = all_28_6
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | REDUCE: (816), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (1006) op2(e21, e23) = all_28_4
% 84.98/12.51 | | | | | | | | | | |
% 84.98/12.51 | | | | | | | | | | | REDUCE: (62), (998) imply:
% 84.98/12.51 | | | | | | | | | | | (1007) op2(e23, e21) = all_8_0
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | REDUCE: (61), (998) imply:
% 84.98/12.52 | | | | | | | | | | | (1008) op2(e23, e23) = e21
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_4, e23, e21,
% 84.98/12.52 | | | | | | | | | | | simplifying with (32), (1006) gives:
% 84.98/12.52 | | | | | | | | | | | (1009) all_28_4 = e22
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_8, all_8_0, e21,
% 84.98/12.52 | | | | | | | | | | | e23, simplifying with (148), (1007) gives:
% 84.98/12.52 | | | | | | | | | | | (1010) all_16_8 = all_8_0
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | COMBINE_EQS: (617), (1010) imply:
% 84.98/12.52 | | | | | | | | | | | (1011) all_20_2 = all_8_0
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | COMBINE_EQS: (552), (1010) imply:
% 84.98/12.52 | | | | | | | | | | | (1012) all_26_4 = all_8_0
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | REDUCE: (113), (1010) imply:
% 84.98/12.52 | | | | | | | | | | | (1013) ~ (all_16_4 = all_8_0)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | REDUCE: (103), (1010) imply:
% 84.98/12.52 | | | | | | | | | | | (1014) ~ (all_16_9 = all_8_0)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | SIMP: (1014) implies:
% 84.98/12.52 | | | | | | | | | | | (1015) ~ (all_16_9 = all_8_0)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | REDUCE: (101), (1010) imply:
% 84.98/12.52 | | | | | | | | | | | (1016) ~ (all_16_11 = all_8_0)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | SIMP: (1016) implies:
% 84.98/12.52 | | | | | | | | | | | (1017) ~ (all_16_11 = all_8_0)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | REDUCE: (100), (1010) imply:
% 84.98/12.52 | | | | | | | | | | | (1018) ~ (all_16_12 = all_8_0)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | SIMP: (1018) implies:
% 84.98/12.52 | | | | | | | | | | | (1019) ~ (all_16_12 = all_8_0)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | REDUCE: (790), (1010) imply:
% 84.98/12.52 | | | | | | | | | | | (1020) ~ (all_8_0 = e23)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | REDUCE: (1003), (1010) imply:
% 84.98/12.52 | | | | | | | | | | | (1021) ~ (all_8_0 = e21)
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | BETA: splitting (236) gives:
% 84.98/12.52 | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | (1022) all_20_12 = e21
% 84.98/12.52 | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | REF_CLOSE: (632), (1001), (1022) are inconsistent by
% 84.98/12.52 | | | | | | | | | | | | sub-proof #176.
% 84.98/12.52 | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | (1023) ~ (all_20_12 = e21)
% 84.98/12.52 | | | | | | | | | | | | (1024) all_20_12 = e23 | all_20_12 = e22 | all_20_12 =
% 84.98/12.52 | | | | | | | | | | | | e20
% 84.98/12.52 | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | BETA: splitting (244) gives:
% 84.98/12.52 | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | (1025) all_20_1 = e21
% 84.98/12.52 | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | REF_CLOSE: (610), (1002), (1025) are inconsistent by
% 84.98/12.52 | | | | | | | | | | | | | sub-proof #175.
% 84.98/12.52 | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | (1026) ~ (all_20_1 = e21)
% 84.98/12.52 | | | | | | | | | | | | | (1027) all_20_1 = e23 | all_20_1 = e22 | all_20_1 = e20
% 84.98/12.52 | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | BETA: splitting (243) gives:
% 84.98/12.52 | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | (1028) all_20_2 = e21
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1028) imply:
% 84.98/12.52 | | | | | | | | | | | | | | (1029) all_8_0 = e21
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | SIMP: (1029) implies:
% 84.98/12.52 | | | | | | | | | | | | | | (1030) all_8_0 = e21
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | REDUCE: (1021), (1030) imply:
% 84.98/12.52 | | | | | | | | | | | | | | (1031) $false
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | CLOSE: (1031) is inconsistent.
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | (1032) all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e20
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 84.98/12.52 | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | (1033) all_20_4 = e21
% 84.98/12.52 | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | REF_CLOSE: (612), (1000), (1033) are inconsistent by
% 84.98/12.52 | | | | | | | | | | | | | | | sub-proof #174.
% 84.98/12.52 | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | (1034) ~ (all_20_4 = e21)
% 84.98/12.52 | | | | | | | | | | | | | | | (1035) all_20_4 = e23 | all_20_4 = e22 | all_20_4 = e20
% 84.98/12.52 | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 84.98/12.52 | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | (1036) all_26_15 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1036) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | (1037) all_4_1 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | SIMP: (1037) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | (1038) all_4_1 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | REDUCE: (775), (1038) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | (1039) ~ (all_16_3 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | REDUCE: (794), (1038) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | (1040) ~ (all_16_11 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | REDUCE: (904), (1038) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | (1041) ~ (e21 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | (1042) all_26_0 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (999), (1042) are inconsistent by sub-proof
% 84.98/12.52 | | | | | | | | | | | | | | | | | #173.
% 84.98/12.52 | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | (1043) all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | BETA: splitting (1024) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | (1044) all_20_12 = e23
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (1044) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | (1045) all_16_3 = e23
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1045) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | (1046) all_26_12 = e23
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | REDUCE: (127), (1045) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | (1047) ~ (all_16_1 = e23)
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | REDUCE: (119), (1045) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | (1048) ~ (all_16_7 = e23)
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | SIMP: (1048) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | (1049) ~ (all_16_7 = e23)
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | REDUCE: (1039), (1045) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | (1050) ~ (e23 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | BETA: splitting (1043) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1051) all_26_2 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (1051) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1052) all_16_1 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | SIMP: (1052) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1053) all_16_1 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1053) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1054) ~ (all_16_9 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | SIMP: (1054) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1055) ~ (all_16_9 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | REDUCE: (124), (1053) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1056) ~ (all_16_13 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | SIMP: (1056) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1057) ~ (all_16_13 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | REDUCE: (767), (1053) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1058) ~ (all_6_1 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | REDUCE: (1047), (1053) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1059) ~ (e23 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | REDUCE: (766), (1053) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1060) ~ (e22 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1053) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | (1061) op2(e22, e23) = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1062) all_26_4 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1012), (1062) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1063) all_8_0 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | SIMP: (1063) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1064) all_8_0 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1064) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1065) ~ (all_16_12 = e20)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1064) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1066) op2(e23, e20) = all_8_2
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_12, all_8_2, e20,
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | e23, simplifying with (147), (1066) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1067) all_16_12 = all_8_2
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1067) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1068) all_20_3 = all_8_2
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1067) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1069) all_26_9 = all_8_2
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1067) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1070) ~ (all_16_4 = all_8_2)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1067) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1071) ~ (all_16_13 = all_8_2)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | SIMP: (1071) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1072) ~ (all_16_13 = all_8_2)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (1067) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | (1073) ~ (all_8_2 = e21)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | (1074) all_20_14 = e21
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (1074) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | (1075) all_16_11 = e21
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | SIMP: (1075) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | (1076) all_16_11 = e21
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (1076) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | (1077) ~ (all_16_9 = e21)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | (1078) all_20_6 = e21
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1078) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | (1079) all_16_9 = e21
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1077), (1079) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | (1080) $false
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1080) is inconsistent.
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | (1081) ~ (all_20_6 = e21)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | (1082) all_20_6 = e23 | all_20_6 = e22 | all_20_6 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1082) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | (1083) all_20_6 = e23
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1083) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | (1084) all_16_9 = e23
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (1084) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | (1085) $false
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1085) is inconsistent.
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | (1086) ~ (all_20_6 = e23)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | (1087) all_20_6 = e22 | all_20_6 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1087) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1088) all_20_6 = e22
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1088) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1089) all_16_9 = e22
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1089) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1090) all_16_9 = e22
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1090) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1091) ~ (all_16_13 = e22)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1091) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1092) ~ (all_16_13 = e22)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1093) all_20_7 = e21
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1093) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1094) all_16_13 = e21
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1094) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1095) $false
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1095) is inconsistent.
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (22), (23), (31), (32), (43),
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | (94), (242), (333), (334), (540), (627), (629),
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | (770), (772), (900), (973), (1036), (1057),
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1061), (1065), (1066), (1068), (1069), (1072),
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1073), (1092), (1096) are inconsistent by
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #161.
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_20_6 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1097) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_16_9 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1098) implies:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1099) all_16_9 = e20
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1055), (1099) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | (1100) $false
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1100) is inconsistent.
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | (1101) ~ (all_20_14 = e21)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (1101) imply:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | (1102) ~ (all_16_11 = e21)
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | | (1103) all_26_12 = e21
% 84.98/12.52 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (1046), (1103) are inconsistent by sub-proof
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | #160.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | (1104) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1104) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | (1105) all_26_13 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (1105) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | (1106) all_16_7 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1106) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | (1107) all_16_7 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (1107) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | (1108) ~ (all_6_1 = e21)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1108) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | (1109) ~ (all_6_1 = e21)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1107) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | (1110) op2(e20, e22) = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (1111) all_20_5 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1111) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_6_1 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1109), (1112) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (1113) $false
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1113) is inconsistent.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (1114) ~ (all_20_5 = e21)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e20
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1116) all_20_7 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1116) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_16_13 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1117) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1118) $false
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1118) is inconsistent.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1119) ~ (all_20_7 = e21)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1120) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_26_1 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1121) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) all_16_4 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1122) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_16_4 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1123) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) ~ (all_6_1 = e23)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1124) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) ~ (all_6_1 = e23)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) all_26_1 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (1121), (1126) are inconsistent by
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1127) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_26_3 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1128) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_6_1 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1129) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_6_1 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1130) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) ~ (all_16_13 = e22)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (22), (23), (31), (32), (43),
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (242), (333), (334), (540), (627), (629),
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770), (772), (900), (973), (1036), (1057),
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061), (1065), (1066), (1068), (1069), (1072),
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073), (1120), (1131) are inconsistent by
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #161.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) all_26_7 = e22 | all_26_13 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (535), (770), (1105), (1132) are
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #158.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) ~ (all_26_1 = e23)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1133) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) ~ (all_16_4 = e23)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_20_1 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1136) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_16_4 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1137) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_16_4 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1135), (1138) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) $false
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1139) is inconsistent.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_20_1 = e22 | all_20_1 = e20
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1140) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_20_1 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1141) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_16_4 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1142) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) all_16_4 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (1143) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) ~ (all_8_2 = e22)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1144) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) ~ (all_8_2 = e22)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1143) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) ~ (all_6_1 = e22)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1146) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) ~ (all_6_1 = e22)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) all_26_9 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1069), (1148) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) all_8_2 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1149) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) all_8_2 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1145), (1150) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) $false
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1151) is inconsistent.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1115) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_20_5 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1153) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) all_6_1 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1154) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_6_1 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1155) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_26_3 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1155) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) ~ (all_16_13 = e23)
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1155) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) op2(all_6_2, e23) = all_28_60
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (1155) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) op2(e22, e23) = all_6_0
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_26_9 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1069), (1160) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) all_8_2 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1161) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_8_2 = e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1005), (1162) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) op2(e21, e23) = all_28_6
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1152) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) all_26_10 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1164) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_16_13 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1165) implies:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_16_13 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1166) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) op2(e22, e20) = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_6, e23, e21,
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (1163) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) all_28_6 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_6_0, e23, e22,
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1061), (1159) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) all_6_0 = e20
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (1169) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) op2(e20, all_6_2) = all_28_50
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (1169) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) op2(e20, e22) = all_28_48
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1169) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) op2(e22, e20) = all_6_2
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_48, e22, e20,
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1110), (1171) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) all_28_48 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_6_2, e20, e22,
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1167), (1172) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) all_6_2 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1174) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) op2(e22, e23) = all_28_60
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1170), (1174) imply:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) op2(e20, e22) = all_28_50
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_50, e22, e20,
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1110), (1176) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_28_50 = e21
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_60, e23, e22,
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1061), (1175) gives:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_28_60 = e20
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (16), (22), (23), (31), (32), (43),
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973), (1061), (1110) are inconsistent by
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #156.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_26_11 = e22 | all_26_15 = e22
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (770), (900), (1036), (1179) are
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #164.
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 84.98/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (523), (535), (540), (900), (1036), (1049),
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050), (1134), (1156), (1157), (1180) are
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) all_20_5 = e22 | all_20_5 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (778), (1147), (1181) are inconsistent by
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_20_1 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (610), (777), (1182) are inconsistent by sub-proof
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #150.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | (1183) all_26_14 = e21 | all_26_15 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (521), (904), (1102), (1183) are
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #148.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | (1184) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1184) gives:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | (1185) all_26_5 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1185) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | (1186) all_16_9 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | SIMP: (1186) implies:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | (1187) all_16_9 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1055), (1187) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | (1188) $false
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1188) is inconsistent.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | (1189) all_26_8 = e20 | all_26_14 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (521), (702), (1040), (1050), (1189) are
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #146.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | (1190) all_26_6 = e20 | all_26_12 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (1190) gives:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | (1191) all_26_6 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (770), (1191) are inconsistent by sub-proof
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | #145.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | (1192) all_26_12 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1046), (1050), (1192) are inconsistent by
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | sub-proof #144.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | (1193) all_20_12 = e22 | all_20_12 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (632), (769), (1039), (1193) are inconsistent by
% 84.98/12.54 | | | | | | | | | | | | | | | | | | sub-proof #143.
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | End of split
% 84.98/12.54 | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | (1194) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 84.98/12.54 | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 84.98/12.54 | | | | | | | | | | | | | | | | all_26_14 = e20)
% 84.98/12.54 | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | ALPHA: (1194) implies:
% 84.98/12.54 | | | | | | | | | | | | | | | | (1195) all_26_12 = e20 | all_26_13 = e20 | all_26_14 =
% 84.98/12.54 | | | | | | | | | | | | | | | | e20
% 84.98/12.54 | | | | | | | | | | | | | | | | (1196) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20
% 84.98/12.54 | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 84.98/12.54 | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.54 | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | (1197) all_20_15 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (904), (1197) are inconsistent by sub-proof
% 84.98/12.54 | | | | | | | | | | | | | | | | | #142.
% 84.98/12.54 | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | (1198) ~ (all_20_15 = e21)
% 84.98/12.54 | | | | | | | | | | | | | | | | | (1199) all_20_15 = e23 | all_20_15 = e22 | all_20_15 =
% 84.98/12.54 | | | | | | | | | | | | | | | | | e20
% 84.98/12.54 | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 84.98/12.54 | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | (1200) all_20_13 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (1200) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | (1201) all_16_7 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | SIMP: (1201) implies:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | (1202) all_16_7 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (1202) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | (1203) all_26_13 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | REDUCE: (780), (1202) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | (1204) ~ (all_6_1 = e21)
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | SIMP: (1204) implies:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | (1205) ~ (all_6_1 = e21)
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | REDUCE: (137), (1202) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | (1206) op2(e20, e22) = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 84.98/12.54 | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | (1207) all_26_2 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (1207) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | (1208) all_16_1 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | REDUCE: (1000), (1208) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | (1209) $false
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | CLOSE: (1209) is inconsistent.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | (1210) all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (1210) gives:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | (1211) all_26_3 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1211) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | (1212) all_6_1 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | REDUCE: (1205), (1212) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | (1213) $false
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | CLOSE: (1213) is inconsistent.
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | (1214) all_26_5 = e21 | all_26_10 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | (1215) all_26_5 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1215) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | (1216) all_16_9 = e21
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (1216) imply:
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | | (1217) ~ (all_16_11 = e21)
% 84.98/12.54 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | SIMP: (1217) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | (1218) ~ (all_16_11 = e21)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1216) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | (1219) ~ (all_16_13 = e21)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (1216) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | (1220) ~ (all_8_0 = e21)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (1216) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | (1221) ~ (e23 = e21)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | (1222) all_20_5 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1222) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | (1223) all_6_1 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1205), (1223) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | (1224) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1224) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | (1225) ~ (all_20_5 = e21)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | (1226) all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | (1227) all_20_14 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (1227) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | (1228) all_16_11 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1218), (1228) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | (1229) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1229) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | (1230) all_20_14 = e23 | all_20_14 = e22 | all_20_14 =
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_20_3 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1231) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_16_12 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (1232) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (1233) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1233) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (1234) ~ (all_20_3 = e21)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_20_7 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1236) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_16_13 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1237) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1238) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1238) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1239) ~ (all_20_7 = e21)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_26_2 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (1241) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_16_1 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1242) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_16_1 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (1243) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1244) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) ~ (all_26_2 = e22)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_26_3 = e22 | all_26_5 = e22 | all_26_10 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_26_0 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (999), (1247) are inconsistent by sub-proof
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | #173.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_26_4 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1012), (1249) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_8_0 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1250) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_8_0 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1251) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) ~ (all_16_12 = e20)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1021), (1251) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) ~ (e21 = e20)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (1251) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) op2(e20, e20) = all_28_10
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1251) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) op2(e20, e23) = all_28_12
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1251) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) op2(e23, e20) = all_8_2
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1196) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_26_9 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1257) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_16_12 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1258) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_16_12 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1252), (1259) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1260) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_26_10 = e20 | all_26_11 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_26_4 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1249), (1262) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) e22 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1263) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1264) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) ~ (all_26_4 = e22)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1249), (1265) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (e22 = e20)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1266) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_26_5 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1215), (1268) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) e22 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1269) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1270) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) ~ (all_26_5 = e22)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_26_8 = e22 | all_26_14 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1261) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_26_10 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1273) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_16_13 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1274) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_16_13 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1275) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) ~ (all_6_1 = e20)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1195) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_26_12 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1277) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_16_3 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1278) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) ~ (all_16_1 = e20)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1278) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) op2(e20, e23) = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) all_26_9 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1281) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_16_12 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1282) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_16_12 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1283) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) ~ (all_16_4 = e22)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1283) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) ~ (all_4_1 = e22)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1285) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) ~ (all_4_1 = e22)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1283) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) op2(e23, e20) = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_26_0 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (24), (348), (538), (548), (1000),
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277), (1288) are inconsistent by sub-proof #138.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_26_9 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1281), (1290) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) e23 = e22
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1291) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1292) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1289) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_26_1 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1294) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_16_4 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1295) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_16_4 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (1296) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) ~ (e23 = e20)
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1296) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) op2(e23, e22) = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1293) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_26_10 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1273), (1299) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) e23 = e20
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1297), (1300) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1301) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_26_11 = e23 | all_26_15 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1302) gives:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_26_11 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (900), (1303) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) e23 = e21
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (1304) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) $false
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1305) is inconsistent.
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_26_15 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1306) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_4_1 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1307) implies:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_4_1 = e23
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1308) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) op2(e23, all_4_0) = all_28_111
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (1308) imply:
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) op2(e23, e23) = all_28_108
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (1308) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) op2(e23, all_4_2) = all_28_117
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (1308) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) op2(e23, e20) = all_28_114
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1308) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) op2(all_4_2, e23) = all_28_144
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1308) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) op2(e20, e23) = all_4_0
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1308) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) op2(e20, e20) = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (15), (16), (22), (31), (43), (47),
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772), (825), (863), (864), (872), (873), (973),
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005), (1008), (1254), (1255), (1256), (1280),
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287), (1298), (1309), (1310), (1311), (1312),
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313), (1314), (1315) are inconsistent by
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #137.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) ~ (all_26_1 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (610), (777), (1027), (1284), (1316) are
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) ~ (all_26_9 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (1317) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) ~ (all_16_12 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1246) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_26_3 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1319) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_6_1 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1320) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_6_1 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1321) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) ~ (all_16_4 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_26_1 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1323) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_16_4 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1324) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_16_4 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1325) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) ~ (all_16_12 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1326) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) ~ (all_16_12 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_20_3 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (1327), (1328) are inconsistent by
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #134.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_20_3 = e22 | all_20_3 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (1252), (1318), (1329) are inconsistent by
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #133.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) ~ (all_26_1 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (610), (777), (1027), (1322), (1330) are
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) ~ (all_26_3 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1331) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) ~ (all_6_1 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_26_1 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1333) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_16_4 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1334) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_16_4 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1335) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) ~ (all_6_1 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_26_1 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1333), (1337) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) e23 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1338) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) $false
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1339) is inconsistent.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1340) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_26_3 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1341) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_6_1 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1342) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_6_1 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (1343) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) ~ (all_16_1 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (766), (1035), (1279), (1344) are
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #131.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) ~ (all_26_3 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1345) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) ~ (all_6_1 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (778), (1226), (1332), (1346) are
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (535), (546), (770), (1203), (1332), (1347)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #128.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_26_13 = e20 | all_26_14 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_26_13 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1203), (1349) are inconsistent by sub-proof
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #127.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_26_14 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (770), (772), (1272), (1350) are
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_26_11 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (900), (1351) are inconsistent by sub-proof
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #124.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) ~ (all_26_4 = e20)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1012), (1352) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) ~ (all_8_0 = e20)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1032) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_20_2 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1354) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_8_0 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1020), (1355) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) $false
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1356) is inconsistent.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_20_2 = e22 | all_20_2 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1357) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_20_2 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1358) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_8_0 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1013), (1359) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) ~ (all_16_4 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (1359) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) ~ (all_16_11 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1359) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) ~ (all_16_12 = e22)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (821), (1359) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) op2(e22, all_8_2) = all_28_14
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1359) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) op2(e22, e23) = all_28_12
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1359) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) op2(e23, e22) = all_8_2
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1004), (1359) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) op2(e21, e22) = all_28_2
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1230) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_20_14 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (1367) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_16_11 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1368) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) $false
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1369) is inconsistent.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_20_14 = e22 | all_20_14 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_20_1 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1371) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_16_4 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1372) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_16_4 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1373) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_26_1 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1373) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) ~ (all_16_12 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1375) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) ~ (all_16_12 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1373) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) op2(e23, e22) = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_20_3 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1378) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_16_12 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1376), (1379) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) $false
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1380) is inconsistent.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_20_3 = e22 | all_20_3 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1370) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_20_14 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (1382) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_16_11 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1383) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_16_11 = e22
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1361), (1384) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) $false
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1385) is inconsistent.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_20_14 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (1386) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_16_11 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1387) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_16_11 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1388) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) ~ (all_16_3 = e20)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1361), (1388) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) ~ (e22 = e20)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1388) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) op2(e20, e21) = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1024) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_20_12 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (1392) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_16_3 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1393) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_16_3 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1394) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_26_12 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (1394) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) ~ (all_4_1 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1396) implies:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) ~ (all_4_1 = e23)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1389), (1394) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) ~ (e23 = e20)
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1199) gives:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_20_15 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1399) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_4_1 = e23
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1397), (1400) imply:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) $false
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1401) is inconsistent.
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_20_15 = e22 | all_20_15 = e20
% 84.98/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1248) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_26_2 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (1403) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_16_1 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1404) implies:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_16_1 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (1405) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) ~ (all_6_1 = e20)
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1405) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) op2(e22, e23) = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_26_1 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (1374), (1408) are inconsistent by
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1381) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_20_3 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1410) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_16_12 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1362), (1411) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) $false
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1412) is inconsistent.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_20_3 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1413) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_16_12 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1414) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_26_9 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1414) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) ~ (all_16_13 = e20)
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1416) implies:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) ~ (all_16_13 = e20)
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (1414) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) ~ (e21 = e20)
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1409) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_26_3 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1419) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_6_1 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1420) implies:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_6_1 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1421) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) ~ (all_16_13 = e22)
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_26_9 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1415), (1423) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) e22 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1424) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) $false
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1425) is inconsistent.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) ~ (all_26_9 = e22)
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1240) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_20_7 = e23
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1428) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_16_13 = e23
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1429) implies:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_16_13 = e23
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1430) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_26_10 = e23
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1402) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_20_15 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1432) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_4_1 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (1433) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) op2(all_4_0, e22) = all_28_120
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1433) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) op2(all_4_2, e22) = all_28_144
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1433) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) op2(e20, e22) = all_4_0
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_4_0, e22, e20,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1206), (1436) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_4_0 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_2, e22, e21,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (1366) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_28_2 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_12, e23, e22,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1364), (1407) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_28_12 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_8_2, e22, e23,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1365), (1377) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_8_2 = e23
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1437) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) op2(e21, e22) = all_28_120
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1363), (1440) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) op2(e22, e23) = all_28_14
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1005), (1440) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) op2(e21, e23) = all_28_6
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1437) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) op2(e20, e21) = all_4_2
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_4_2, e21, e20,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1391), (1444) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_4_2 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_120, e22, e21,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (1441) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_28_120 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_6, e23, e21,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (1443) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_28_6 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_14, e23, e22,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1407), (1442) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_28_14 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1435), (1445) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) op2(e20, e22) = all_28_144
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_144, e22, e20,
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1206), (1449) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_28_144 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (16), (22), (23), (31), (32), (43),
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973), (1206), (1407) are inconsistent by
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #156.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_20_15 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1451) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_4_1 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1452) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_26_15 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (770), (772), (900), (1427), (1431), (1453)
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #163.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_20_7 = e22 | all_20_7 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (1417), (1422), (1454) are inconsistent by
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_26_7 = e22 | all_26_13 = e22
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (535), (770), (1203), (1455) are
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #158.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_26_6 = e20 | all_26_12 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1456) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_26_6 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (770), (1457) are inconsistent by sub-proof
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #145.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_26_12 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1395), (1398), (1458) are inconsistent by
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #144.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_20_12 = e22 | all_20_12 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (632), (769), (1389), (1459) are inconsistent by
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_20_1 = e22 | all_20_1 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (610), (777), (1360), (1460) are inconsistent by
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_20_2 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1461) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_8_0 = e20
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1353), (1462) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) $false
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1463) is inconsistent.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | (1464) all_26_10 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (540), (902), (1464) are inconsistent by sub-proof
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | #123.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.57 | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | (1465) ~ (all_20_13 = e21)
% 84.98/12.57 | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | REDUCE: (633), (1465) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | (1466) ~ (all_16_7 = e21)
% 84.98/12.57 | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | (1467) all_26_12 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1467) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | (1468) all_16_3 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | SIMP: (1468) implies:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | (1469) all_16_3 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | REDUCE: (1001), (1469) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | (1470) $false
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | CLOSE: (1470) is inconsistent.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | (1471) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (1471) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | (1472) all_26_13 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (1466), (1472) are inconsistent by
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | sub-proof #122.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | (1473) ~ (all_26_13 = e21)
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | (1474) all_26_14 = e21 | all_26_15 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | (1475) all_26_1 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1475) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | (1476) all_16_4 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1002), (1476) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | (1477) $false
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1477) is inconsistent.
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | (1478) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1478) gives:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | (1479) all_26_3 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1479) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | (1480) all_6_1 = e21
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (1480) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | (1481) op2(e21, all_6_0) = all_28_38
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (1480) imply:
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | | (1482) op2(e21, all_6_2) = all_28_42
% 84.98/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (831), (1480) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | (1483) op2(e21, e22) = all_28_40
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (1480) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | (1484) op2(e22, e21) = all_6_0
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (1480) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | (1485) op2(e22, e22) = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1474) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | (1486) all_26_14 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (1486) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | (1487) all_16_11 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1487) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | (1488) all_16_11 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (1488) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | (1489) ~ (all_16_9 = e21)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (1488) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | (1490) ~ (all_8_0 = e21)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1195) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_26_12 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1491) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_16_3 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1492) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_16_3 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1493) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1494) ~ (all_16_1 = e20)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (1493) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1495) ~ (e22 = e20)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1001), (1493) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1496) ~ (e21 = e20)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1493) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1497) op2(e20, e23) = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_20_4 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1498) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_16_1 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1494), (1499) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1500) ~ (e23 = e20)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_40, e22, e21,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (1483) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_28_40 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_9, all_6_0, e21,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (144), (1484) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_16_9 = all_6_0
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1502) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_26_5 = all_6_0
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1502) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1504) ~ (all_16_13 = all_6_0)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1504) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1505) ~ (all_16_13 = all_6_0)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (1502) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1506) ~ (all_8_0 = all_6_0)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1506) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1507) ~ (all_8_0 = all_6_0)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1489), (1502) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1508) ~ (all_6_0 = e21)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_20_7 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (902), (1509) are inconsistent by sub-proof
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) ~ (all_20_7 = e21)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_20_3 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (901), (1512) are inconsistent by sub-proof
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | #120.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) ~ (all_20_3 = e21)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_26_1 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1515) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_16_4 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1516) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_16_4 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1517) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) ~ (all_16_12 = e22)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1518) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) ~ (all_16_12 = e22)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1013), (1517) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) ~ (all_8_0 = e22)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1520) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) ~ (all_8_0 = e22)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_26_4 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1012), (1522) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_8_0 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1523) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_8_0 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1521), (1524) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) $false
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1525) is inconsistent.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_26_1 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1515), (1527) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) e23 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1528) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) $false
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1529) is inconsistent.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) ~ (all_26_1 = e23)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1526) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) all_26_5 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1503), (1532) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_6_0 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1533) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_6_0 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1505), (1534) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) ~ (all_16_13 = e22)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (1534) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) op2(e22, e22) = all_28_46
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (1534) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) op2(e22, e22) = all_28_48
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1534) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) op2(e22, e22) = all_6_2
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1481), (1534) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) op2(e21, e22) = all_28_38
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_26_4 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1012), (1540) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_8_0 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1541) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_8_0 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1542) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) ~ (all_16_12 = e20)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (821), (1542) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) op2(e20, all_8_2) = all_28_14
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1542) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) op2(e20, e23) = all_28_12
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (1542) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) op2(all_8_2, e20) = all_28_27
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1542) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) op2(e23, e20) = all_8_2
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1531) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_26_3 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1479), (1548) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) e23 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (1549) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) $false
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1550) is inconsistent.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_26_7 = e23 | all_26_13 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) all_26_9 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1552) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_16_12 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1553) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_16_12 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1519), (1554) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) $false
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1555) is inconsistent.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) ~ (all_26_9 = e22)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1514) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) all_20_3 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1558) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) all_16_12 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1559) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) all_16_12 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1560) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) op2(e23, e20) = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1551) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) all_26_7 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1562) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) e23 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1500), (1563) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) $false
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1564) is inconsistent.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_26_13 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (1565) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_16_7 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1566) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_16_7 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (1567) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) ~ (all_4_1 = e23)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1568) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) ~ (all_4_1 = e23)
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1567) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) op2(e20, e22) = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1557) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_26_10 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1571) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_16_13 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1572) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_16_13 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1535), (1573) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) $false
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1574) is inconsistent.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) all_26_11 = e22 | all_26_15 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1199) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_20_15 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (1569), (1576) are inconsistent by
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #119.
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_20_15 = e22 | all_20_15 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_20_15 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1578) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_4_1 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1579) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_4_1 = e22
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (1580) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) op2(e22, e22) = all_28_108
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1580) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) op2(all_4_2, e22) = all_28_144
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1580) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) op2(e20, e22) = all_4_0
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_4_0, e22, e20,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1570), (1583) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_4_0 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_12, e23, e20,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1497), (1545) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_28_12 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_38, e22, e21,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (1539) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_28_38 = e20
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_108, all_28_48,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, e22, simplifying with (1537), (1581) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_28_48 = all_28_108
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_6_2, all_28_48, e22,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1537), (1538) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_28_48 = all_6_2
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_46, e22, e22,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1485), (1536) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) all_28_46 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_108, all_28_46,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, e22, simplifying with (1536), (1581) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_28_46 = all_28_108
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_8_2, e20, e23,
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1547), (1561) gives:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_8_2 = e23
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1589), (1590) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_28_108 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1592) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_28_108 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1587), (1588) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_28_108 = all_6_2
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1594) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_28_108 = all_6_2
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1593), (1595) imply:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_6_2 = e21
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1596) implies:
% 84.98/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) all_6_2 = e21
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1546), (1591) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) op2(e23, e20) = all_28_27
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (1597) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) op2(e21, e22) = all_28_66
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (1584) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) op2(e23, all_4_2) = all_28_129
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (1584) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) op2(e23, e20) = all_28_126
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (1584) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) op2(all_4_2, e23) = all_28_148
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1544), (1591) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) op2(e20, e23) = all_28_14
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1584) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) op2(e20, e23) = all_4_2
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_14, e23, e20,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1497), (1603) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_28_14 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_4_2, all_28_14, e23,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (1603), (1604) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_28_14 = all_4_2
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_66, e22, e21,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (1599) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_28_66 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_27, e20, e23,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1561), (1598) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_28_27 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_126, all_28_27,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e23, simplifying with (1598), (1601) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_28_27 = all_28_126
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1605), (1606) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_4_2 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1610) implies:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_4_2 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1608), (1609) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_28_126 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1612) implies:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_28_126 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1602), (1611) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) op2(e20, e23) = all_28_148
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1582), (1611) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) op2(e20, e22) = all_28_144
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1600), (1611) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) op2(e23, e20) = all_28_129
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_144, e22, e20,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1570), (1615) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_28_144 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_148, e23, e20,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1497), (1614) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_28_148 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_129, e20, e23,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1561), (1616) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_28_129 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) unit2 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (1500), (1561), (1620) are
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #118.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) unit2 = e22 | unit2 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1621) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) unit2 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (22), (31), (43), (1622) are inconsistent by
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #171.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) unit2 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) ~ (unit2 = e22)
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1623) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) op2(e20, e23) = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1623) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) op2(e20, e22) = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, e22, e22, e20,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1570), (1626) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) e23 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e23, e20,
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1497), (1625) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) e23 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (1627), (1628) are inconsistent by
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #117.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_20_15 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1629) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_4_1 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1630) implies:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_4_1 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1631) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_26_15 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (770), (900), (1575), (1632) are
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #164.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_20_3 = e22 | all_20_3 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (1519), (1543), (1633) are inconsistent by
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #133.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1634) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_26_5 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1532), (1635) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) e22 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1636) implies:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) e22 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1637) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) $false
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1638) is inconsistent.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_26_8 = e20 | all_26_14 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (702), (1486), (1500), (1639) are
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #115.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_26_8 = e22 | all_26_14 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_26_8 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (772), (1641) are inconsistent by sub-proof
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #126.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_26_14 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1486), (1642) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) e22 = e21
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1643) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) $false
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1644) is inconsistent.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) ~ (all_26_1 = e22)
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1645) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) ~ (all_16_4 = e22)
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_20_1 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1648) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_16_4 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1649) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) ~ (all_16_7 = e23)
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1650) implies:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) ~ (all_16_7 = e23)
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1013), (1649) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) ~ (all_8_0 = e23)
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1649) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) op2(e23, e22) = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1646) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_26_3 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1479), (1654) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) e22 = e21
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1655) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) $false
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1656) is inconsistent.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_26_7 = e22 | all_26_13 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1657) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_26_7 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1658) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) e22 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1659) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) $false
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1660) is inconsistent.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_26_13 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (1661) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_16_7 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_26_12 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1491), (1663) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) e23 = e20
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1500), (1664) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) $false
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1665) is inconsistent.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_26_13 = e23 | all_26_14 = e23 | all_26_15 =
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_26_13 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1661), (1667) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) e23 = e22
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1668) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) $false
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1669) is inconsistent.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_26_14 = e23 | all_26_15 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1670) gives:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_26_14 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1486), (1671) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) e23 = e21
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (1672) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) $false
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1673) is inconsistent.
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_26_15 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1674) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_4_1 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1675) implies:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_4_1 = e23
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1676) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) ~ (all_16_12 = e23)
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (1676) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) ~ (all_16_13 = e23)
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (1676) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) op2(all_4_0, e23) = all_28_120
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1676) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) op2(e23, all_4_0) = all_28_111
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (1676) imply:
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) op2(e23, e23) = all_28_108
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (1676) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) op2(e23, all_4_2) = all_28_117
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (1676) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) op2(e23, e20) = all_28_114
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1676) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) op2(all_4_2, e23) = all_28_144
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1676) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) op2(e20, e23) = all_4_0
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1676) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) op2(e20, e20) = e23
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_4_0, e23, e20,
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1497), (1685) gives:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_4_0 = e20
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_12, all_28_114,
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e23, simplifying with (147), (1683) gives:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_28_114 = all_16_12
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_108, e23, e23,
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1008), (1681) gives:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_28_108 = e21
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (863), (1687) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) op2(e20, e20) = all_28_123
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1679), (1687) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) op2(e20, e23) = all_28_120
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (1687) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) op2(e20, e20) = all_28_126
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1680), (1687) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) op2(e23, e20) = all_28_111
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1687) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) op2(e20, e20) = all_4_2
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_126, e20, e20,
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1686), (1692) gives:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_28_126 = e23
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_126, all_28_123,
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e20, simplifying with (1690), (1692) gives:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_28_123 = all_28_126
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_4_2, all_28_123, e20,
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (1690), (1694) gives:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_28_123 = all_4_2
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_120, e23, e20,
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1497), (1691) gives:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_28_120 = e20
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_12, all_28_111,
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e23, simplifying with (147), (1693) gives:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_28_111 = all_16_12
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1696), (1697) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_28_126 = all_4_2
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1700) implies:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_28_126 = all_4_2
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1695), (1701) imply:
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_4_2 = e23
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (1702) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) op2(e23, e23) = all_28_156
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1684), (1702) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) op2(e23, e23) = all_28_144
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (1702) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) op2(e23, e20) = all_28_152
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1682), (1702) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) op2(e23, e23) = all_28_117
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1702) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) op2(e20, e23) = all_28_141
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_141, e23, e20,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1497), (1707) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_28_141 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_12, all_28_152,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e23, simplifying with (147), (1705) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_28_152 = all_16_12
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_144, e23, e23,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1008), (1704) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_28_144 = e21
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_144, all_28_117,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, e23, simplifying with (1704), (1706) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_28_117 = all_28_144
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_156, all_28_117,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, e23, simplifying with (1703), (1706) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_28_117 = all_28_156
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1711), (1712) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_28_144 = all_28_156
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1713) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_28_144 = all_28_156
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1710), (1714) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_28_156 = e21
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1715) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_28_156 = e21
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_26_9 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1717) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_16_12 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1718) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) all_16_12 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1719) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) ~ (all_8_0 = e22)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1720) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) ~ (all_8_0 = e22)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1719) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) op2(e23, e20) = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1032) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_20_2 = e23
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1011), (1020), (1723) are inconsistent by
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_20_2 = e22 | all_20_2 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1724) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_20_2 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1725) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_8_0 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1726) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_8_0 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1721), (1727) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) $false
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1728) is inconsistent.
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_20_2 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1729) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_8_0 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1730) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_8_0 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (1731) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) op2(e20, e20) = all_28_10
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1731) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) op2(e20, e23) = all_28_12
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1731) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) op2(e23, e20) = all_8_2
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (15), (16), (22), (31), (43), (47),
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772), (825), (863), (864), (872), (873), (973),
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005), (1008), (1497), (1653), (1680), (1681),
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682), (1683), (1684), (1685), (1686), (1722),
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732), (1733), (1734) are inconsistent by
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #137.
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) ~ (all_26_9 = e22)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (1735) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) ~ (all_16_12 = e22)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1514) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_20_3 = e23
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (1677), (1738) are inconsistent by
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #134.
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) ~ (all_20_3 = e23)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_20_3 = e22 | all_20_3 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1740) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_20_3 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (1737), (1741) are inconsistent by
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113.
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_20_3 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1742) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_16_12 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1743) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_16_12 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1744) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) ~ (all_16_13 = e20)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1745) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) ~ (all_16_13 = e20)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1744) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) ~ (all_8_0 = e20)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1747) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) ~ (all_8_0 = e20)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1677), (1744) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) ~ (e23 = e20)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1744) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) op2(e23, e20) = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_26_4 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1012), (1751) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_8_0 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1752) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_8_0 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1748), (1753) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) $false
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1754) is inconsistent.
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_26_4 = e20)
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1032) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_20_2 = e23
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1011), (1020), (1757) are inconsistent by
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_20_2 = e22 | all_20_2 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1758) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_20_2 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1759) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_8_0 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1760) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_8_0 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (1761) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) op2(all_8_2, e22) = all_28_27
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1761) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) op2(e23, e22) = all_8_2
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1004), (1761) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) op2(e21, e22) = all_28_2
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1736) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_26_10 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1765) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_16_13 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1766) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_16_13 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1767) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) op2(e22, e20) = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1756) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_26_5 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1503), (1769) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_6_0 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1770) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_6_0 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1771) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) op2(e22, e20) = all_6_2
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_2, e22, e21,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (1764) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_28_2 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_6_2, e20, e22,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1768), (1772) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_6_2 = e22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_8_2, e22, e23,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1653), (1763) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_8_2 = e23
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (1775) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) op2(e23, e23) = all_28_33
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (1775) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) op2(e23, e23) = all_28_30
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1762), (1775) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) op2(e23, e22) = all_28_27
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (1775) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) op2(e23, e23) = all_28_22
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1482), (1774) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) op2(e21, e22) = all_28_42
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_42, e22, e21,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (1780) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_28_42 = e20
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_27, e22, e23,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1653), (1778) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_28_27 = e23
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_33, all_28_30, e23,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (1776), (1777) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_28_30 = all_28_33
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_22, e23, e23,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1008), (1779) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_28_22 = e21
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_30, all_28_22, e23,
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (1777), (1779) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_28_22 = all_28_30
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1784), (1785) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_28_30 = e21
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1786) implies:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_28_30 = e21
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1783), (1787) imply:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_28_33 = e21
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) unit2 = e23
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1789) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) op2(e23, e22) = e22
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1789) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) op2(e23, e23) = e23
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, e22, e22, e23,
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1653), (1790) gives:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) e23 = e22
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e23, e23, e23,
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1008), (1791) gives:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) e23 = e21
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (1792), (1793) are inconsistent by sub-proof
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #112.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) ~ (unit2 = e23)
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) unit2 = e22 | unit2 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1795) gives:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) unit2 = e22
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (22), (31), (43), (1796) are inconsistent by
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #171.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) unit2 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1797) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) op2(e23, e20) = e23
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e20, e23,
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1750), (1798) gives:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) e23 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1500), (1799) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) $false
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1800) is inconsistent.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_26_8 = e20 | all_26_14 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1801) gives:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_26_8 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (1500), (1802) are inconsistent by
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #147.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_26_14 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1486), (1803) are inconsistent by sub-proof
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #116.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) ~ (all_26_10 = e22)
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (1804) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) ~ (all_16_13 = e22)
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (1511), (1678), (1746), (1805) are
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #166.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_20_2 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1806) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_8_0 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1807) implies:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_8_0 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1748), (1808) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) $false
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1809) is inconsistent.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_20_1 = e22 | all_20_1 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (610), (777), (1647), (1810) are inconsistent by
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_20_4 = e22 | all_20_4 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (766), (1494), (1811) are inconsistent by
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_26_13 = e20 | all_26_14 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_26_13 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (786), (1813) are inconsistent by sub-proof
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | #111.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_26_14 = e20
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1486), (1814) are inconsistent by sub-proof
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | #116.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | (1815) all_26_15 = e21
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (904), (1815) are inconsistent by sub-proof
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | | #110.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | (1816) all_26_7 = e21 | all_26_13 = e21
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (523), (535), (1466), (1816) are
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #109.
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | End of split
% 84.98/12.62 | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | (1817) ~ (all_20_0 = e21)
% 84.98/12.62 | | | | | | | | | | | (1818) all_20_0 = e23 | all_20_0 = e22 | all_20_0 = e20
% 84.98/12.62 | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | REDUCE: (608), (1817) imply:
% 84.98/12.62 | | | | | | | | | | | (1819) ~ (all_8_1 = e21)
% 84.98/12.62 | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | BETA: splitting (1818) gives:
% 84.98/12.62 | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | Case 1:
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | (1820) all_20_0 = e23
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | COMBINE_EQS: (608), (1820) imply:
% 84.98/12.62 | | | | | | | | | | | | (1821) all_8_1 = e23
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | SIMP: (1821) implies:
% 84.98/12.62 | | | | | | | | | | | | (1822) all_8_1 = e23
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | REDUCE: (986), (1822) imply:
% 84.98/12.62 | | | | | | | | | | | | (1823) $false
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | CLOSE: (1823) is inconsistent.
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | (1824) all_20_0 = e22 | all_20_0 = e20
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | BETA: splitting (1824) gives:
% 84.98/12.62 | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | Case 1:
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | (1825) all_20_0 = e22
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | COMBINE_EQS: (608), (1825) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1826) all_8_1 = e22
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | SIMP: (1826) implies:
% 84.98/12.62 | | | | | | | | | | | | | (1827) all_8_1 = e22
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (757), (1827) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1828) $false
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | CLOSE: (1828) is inconsistent.
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | (1829) all_20_0 = e20
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | COMBINE_EQS: (608), (1829) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1830) all_8_1 = e20
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | SIMP: (1830) implies:
% 84.98/12.62 | | | | | | | | | | | | | (1831) all_8_1 = e20
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | COMBINE_EQS: (558), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1832) all_26_0 = e20
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | COMBINE_EQS: (927), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1833) all_28_72 = e20
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (756), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1834) ~ (all_16_1 = e20)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (759), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1835) ~ (all_16_3 = e20)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (763), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1836) ~ (all_16_8 = e20)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (765), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1837) ~ (all_16_12 = e20)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (757), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1838) ~ (e22 = e20)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (1819), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1839) ~ (e21 = e20)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (818), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1840) op2(all_8_0, e20) = all_28_8
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (815), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1841) op2(e20, all_8_0) = all_28_2
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (816), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1842) op2(e20, e23) = all_28_4
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (826), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1843) op2(all_8_2, e20) = all_28_24
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (62), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1844) op2(e23, e20) = all_8_0
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (61), (1831) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1845) op2(e23, e23) = e20
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_3, all_28_4, e23,
% 84.98/12.62 | | | | | | | | | | | | | e20, simplifying with (138), (1842) gives:
% 84.98/12.62 | | | | | | | | | | | | | (1846) all_28_4 = all_16_3
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_12, all_8_0, e20,
% 84.98/12.62 | | | | | | | | | | | | | e23, simplifying with (147), (1844) gives:
% 84.98/12.62 | | | | | | | | | | | | | (1847) all_16_12 = all_8_0
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | COMBINE_EQS: (627), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1848) all_20_3 = all_8_0
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | COMBINE_EQS: (550), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1849) all_26_9 = all_8_0
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | COMBINE_EQS: (962), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1850) all_28_78 = all_8_0
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (112), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1851) ~ (all_16_4 = all_8_0)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (100), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1852) ~ (all_16_8 = all_8_0)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (94), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1853) ~ (all_16_13 = all_8_0)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | SIMP: (1853) implies:
% 84.98/12.62 | | | | | | | | | | | | | (1854) ~ (all_16_13 = all_8_0)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (795), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1855) ~ (all_8_0 = all_4_1)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (901), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1856) ~ (all_8_0 = e21)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | REDUCE: (1837), (1847) imply:
% 84.98/12.62 | | | | | | | | | | | | | (1857) ~ (all_8_0 = e20)
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | BETA: splitting (236) gives:
% 84.98/12.62 | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | Case 1:
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | (1858) all_20_12 = e21
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | COMBINE_EQS: (632), (1858) imply:
% 84.98/12.62 | | | | | | | | | | | | | | (1859) all_16_3 = e21
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | SIMP: (1859) implies:
% 84.98/12.62 | | | | | | | | | | | | | | (1860) all_16_3 = e21
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | COMBINE_EQS: (525), (1860) imply:
% 84.98/12.62 | | | | | | | | | | | | | | (1861) all_26_12 = e21
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | REDUCE: (127), (1860) imply:
% 84.98/12.62 | | | | | | | | | | | | | | (1862) ~ (all_16_1 = e21)
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | REDUCE: (119), (1860) imply:
% 84.98/12.62 | | | | | | | | | | | | | | (1863) ~ (all_16_7 = e21)
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | SIMP: (1863) implies:
% 84.98/12.62 | | | | | | | | | | | | | | (1864) ~ (all_16_7 = e21)
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | REDUCE: (118), (1860) imply:
% 84.98/12.62 | | | | | | | | | | | | | | (1865) ~ (all_16_11 = e21)
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | SIMP: (1865) implies:
% 84.98/12.62 | | | | | | | | | | | | | | (1866) ~ (all_16_11 = e21)
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | REDUCE: (138), (1860) imply:
% 84.98/12.62 | | | | | | | | | | | | | | (1867) op2(e20, e23) = e21
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 84.98/12.62 | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | Case 1:
% 84.98/12.62 | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | (1868) all_20_4 = e21
% 84.98/12.62 | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | REF_CLOSE: (612), (1862), (1868) are inconsistent by
% 84.98/12.62 | | | | | | | | | | | | | | | sub-proof #174.
% 84.98/12.62 | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | Case 2:
% 84.98/12.62 | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | (1869) ~ (all_20_4 = e21)
% 84.98/12.62 | | | | | | | | | | | | | | | (1870) all_20_4 = e23 | all_20_4 = e22 | all_20_4 = e20
% 84.98/12.62 | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | BETA: splitting (1870) gives:
% 84.98/12.62 | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | Case 1:
% 84.98/12.62 | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | (1871) all_20_4 = e23
% 84.98/12.62 | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1871) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | (1872) all_16_1 = e23
% 84.98/12.62 | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | SIMP: (1872) implies:
% 84.98/12.62 | | | | | | | | | | | | | | | | (1873) all_16_1 = e23
% 84.98/12.62 | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (1873) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | (1874) all_26_2 = e23
% 84.98/12.62 | | | | | | | | | | | | | | | |
% 84.98/12.62 | | | | | | | | | | | | | | | | REDUCE: (125), (1873) imply:
% 84.98/12.62 | | | | | | | | | | | | | | | | (1875) ~ (all_16_9 = e23)
% 84.98/12.62 | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | REDUCE: (124), (1873) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | (1876) ~ (all_16_13 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | SIMP: (1876) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | (1877) ~ (all_16_13 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | REDUCE: (767), (1873) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | (1878) ~ (all_6_1 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | SIMP: (1878) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | (1879) ~ (all_6_1 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | REDUCE: (1834), (1873) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | (1880) ~ (e23 = e20)
% 84.98/12.63 | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | (1881) all_20_5 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1881) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | (1882) all_6_1 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | SIMP: (1882) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | (1883) all_6_1 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | REDUCE: (782), (1883) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | (1884) ~ (all_16_9 = e21)
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | REDUCE: (1879), (1883) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | (1885) ~ (e23 = e21)
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | REDUCE: (831), (1883) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | (1886) op2(e21, e22) = all_28_40
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | REDUCE: (54), (1883) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | (1887) op2(e22, e21) = all_6_0
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1888) all_26_4 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (1888) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1889) all_16_8 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | SIMP: (1889) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1890) all_16_8 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | REDUCE: (113), (1890) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1891) ~ (all_16_4 = e21)
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | REDUCE: (103), (1890) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1892) ~ (all_16_9 = e21)
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | REDUCE: (1852), (1890) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1893) ~ (all_8_0 = e21)
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_40, e22, e21,
% 84.98/12.63 | | | | | | | | | | | | | | | | | | simplifying with (31), (1886) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1894) all_28_40 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_16_9, all_6_0, e21,
% 84.98/12.63 | | | | | | | | | | | | | | | | | | e22, simplifying with (144), (1887) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1895) all_16_9 = all_6_0
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1895) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1896) all_26_5 = all_6_0
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | REDUCE: (791), (1895) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1897) ~ (all_6_0 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | REDUCE: (1884), (1895) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | (1898) ~ (all_6_0 = e21)
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | (1899) all_20_13 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (1899) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | (1900) all_16_7 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | REDUCE: (1864), (1900) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | (1901) $false
% 84.98/12.63 | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | CLOSE: (1901) is inconsistent.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | (1902) ~ (all_20_13 = e21)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | (1903) all_20_13 = e23 | all_20_13 = e22 | all_20_13 =
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | (1904) all_20_3 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1848), (1904) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | (1905) all_8_0 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | SIMP: (1905) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | (1906) all_8_0 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (1906) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | (1907) $false
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | CLOSE: (1907) is inconsistent.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | (1908) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | (1909) all_20_1 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (610), (1891), (1909) are inconsistent by
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | sub-proof #175.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | (1910) ~ (all_20_1 = e21)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | (1911) all_20_1 = e23 | all_20_1 = e22 | all_20_1 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | (1912) all_26_15 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1912) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | (1913) all_4_1 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1913) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | (1914) all_4_1 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (1914) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | (1915) ~ (all_16_11 = e20)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1916) all_26_4 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1888), (1916) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1917) e21 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1917) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1918) e21 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (1918) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1919) $false
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1919) is inconsistent.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1920) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_26_9 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (1921) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_8_0 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1922) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_8_0 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1844), (1923) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1924) op2(e23, e20) = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1920) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_26_5 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1896), (1925) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_6_0 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1926) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_6_0 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_26_4 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1888), (1928) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) e22 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1929) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) $false
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1930) is inconsistent.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1931) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_26_5 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1925), (1932) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) e22 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1933) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) $false
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1934) is inconsistent.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_26_8 = e22 | all_26_14 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1935) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_26_8 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (772), (1936) are inconsistent by sub-proof
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #126.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_26_14 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (1937) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_16_11 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1938) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_16_11 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1939) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) ~ (all_16_7 = e22)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1903) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_20_13 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (1941) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_16_7 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15), (16), (17), (22), (23), (31), (43),
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (786), (973), (1867), (1924), (1942) are
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_20_13 = e22 | all_20_13 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (633), (786), (1940), (1943) are inconsistent by
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_26_8 = e20 | all_26_14 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (521), (702), (1880), (1915), (1944) are
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #146.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1945) ~ (all_26_9 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1849), (1945) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1946) ~ (all_8_0 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1920) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_26_5 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1896), (1947) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_6_0 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1948) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_6_0 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1897), (1949) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1950) ~ (e23 = e20)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_26_4 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1888), (1951) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) e22 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1952) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) $false
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1953) is inconsistent.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) ~ (all_26_4 = e22)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_26_0 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (24), (346), (348), (538), (548),
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (770), (1834), (1862), (1880), (1956) are
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) ~ (all_26_0 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1958) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_26_1 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1959) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_16_4 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1960) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_16_4 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1961) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) ~ (all_16_7 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1962) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) ~ (all_16_7 = e23)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1955) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_26_5 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1947), (1964) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) e22 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1965) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) $false
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1966) is inconsistent.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_26_8 = e22 | all_26_14 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1967) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_26_8 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (772), (1968) are inconsistent by sub-proof
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #126.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_26_14 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (1969) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_16_11 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1970) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_16_11 = e22
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1971) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) ~ (all_16_7 = e22)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (633), (786), (1903), (1963), (1972) are
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_26_4 = e23 | all_26_9 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1973) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_26_4 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1888), (1974) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) e23 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1874), (1975) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_26_2 = e21
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (342), (540), (546), (1877), (1879), (1880),
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947), (1976) are inconsistent by sub-proof #101.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_26_9 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (1977) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_8_0 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1978) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_8_0 = e23
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1946), (1979) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) $false
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1980) is inconsistent.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_26_8 = e20 | all_26_14 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (521), (702), (1880), (1915), (1981) are
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #146.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | (1982) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20)
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1982) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | (1983) all_26_12 = e20 | all_26_13 = e20 | all_26_14 =
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | (1984) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1983) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1985) all_26_12 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1861), (1985) are inconsistent by sub-proof
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | #140.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1986) all_26_13 = e20 | all_26_14 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1986) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_26_13 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (786), (1987) are inconsistent by sub-proof
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | #111.
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_26_14 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (1988) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_16_11 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1989) implies:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_16_11 = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1990) imply:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1991) op2(e20, e21) = e20
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1984) gives:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_26_9 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (1992) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_8_0 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1993) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_8_0 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1857), (1994) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1995) $false
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1995) is inconsistent.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_26_10 = e20 | all_26_11 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1996) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_26_10 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1997) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_16_13 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1998) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_16_13 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1854), (1999) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) ~ (all_8_0 = e20)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_26_1 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (2001) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_16_4 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2002) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_16_4 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (2003) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) ~ (all_16_7 = e22)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2004) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) ~ (all_16_7 = e22)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1903) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_20_13 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (2006) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_16_7 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (2007) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) ~ (all_4_1 = e23)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2008) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) ~ (all_4_1 = e23)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2007) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) op2(e20, e22) = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_26_9 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (2011) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_8_0 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2012) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_8_0 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1844), (2013) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) op2(e23, e20) = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15), (16), (17), (22), (23), (31), (43),
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973), (1867), (1880), (2010), (2014) are
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2015) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_26_10 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1997), (2016) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) e23 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1880), (2017) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) $false
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2018) is inconsistent.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_26_11 = e23 | all_26_15 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2019) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_26_11 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (900), (2020) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) e23 = e21
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2021) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) $false
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2022) is inconsistent.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_26_15 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (2023) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_4_1 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2024) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_4_1 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2009), (2025) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) $false
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2026) is inconsistent.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_20_13 = e22 | all_20_13 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (633), (786), (2005), (2027) are inconsistent by
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) ~ (all_26_1 = e22)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2028) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) ~ (all_16_4 = e22)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1911) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_20_1 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (2030) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_16_4 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (2031) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) ~ (all_16_7 = e23)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2032) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) ~ (all_16_7 = e23)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1851), (2031) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) ~ (all_8_0 = e23)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2034) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) ~ (all_8_0 = e23)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2031) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) op2(e23, e22) = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_26_12 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1861), (2037) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) e23 = e21
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2038) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) $false
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2039) is inconsistent.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_26_13 = e23 | all_26_14 = e23 | all_26_15 =
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1908) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_20_3 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1848), (2041) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_8_0 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2042) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_8_0 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2035), (2043) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) $false
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2044) is inconsistent.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_20_3 = e22 | all_20_3 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2045) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_20_3 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1848), (2046) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_8_0 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2047) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_8_0 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1855), (2048) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) ~ (all_4_1 = e22)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2049) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) ~ (all_4_1 = e22)
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (2048) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) op2(all_8_2, e22) = all_28_27
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (2048) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) op2(e23, e22) = all_8_2
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1844), (2048) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) op2(e23, e20) = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_26_13 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (2033), (2054) are inconsistent by
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_26_14 = e23 | all_26_15 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2055) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_26_14 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1988), (2056) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) e23 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1880), (2057) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) $false
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2058) is inconsistent.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_26_15 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (2059) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_4_1 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2060) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_4_1 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (2061) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) op2(all_4_0, e23) = all_28_120
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (2061) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) op2(e23, e23) = all_28_108
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (2061) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) op2(e23, all_4_2) = all_28_117
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (2061) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) op2(e23, e20) = all_28_114
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (2061) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) op2(e20, e23) = all_4_0
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_4_0, e23, e20,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1867), (2066) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_4_0 = e21
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_114, e20, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2053), (2065) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_28_114 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_8_2, e22, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2036), (2052) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_8_2 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_108, e23, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1845), (2063) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_28_108 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (2069) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) op2(e23, e23) = all_28_33
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (2069) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) op2(e23, e23) = all_28_30
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2051), (2069) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) op2(e23, e22) = all_28_27
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1843), (2069) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) op2(e23, e20) = all_28_24
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2062), (2067) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) op2(e21, e23) = all_28_120
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (2069) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) op2(e23, e23) = all_28_22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (2067) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) op2(e20, e21) = all_4_2
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_4_2, e21, e20,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1991), (2077) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_4_2 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_120, e23, e21,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (2075) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_28_120 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_24, e20, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2053), (2074) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_28_24 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_27, e22, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2036), (2073) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_28_27 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_30, e23, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1845), (2072) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_28_30 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_30, all_28_22, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (2072), (2076) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_28_22 = all_28_30
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_33, all_28_22, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (2071), (2076) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) all_28_22 = all_28_33
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2083), (2084) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_28_30 = all_28_33
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2085) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_28_30 = all_28_33
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2082), (2086) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_28_33 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2064), (2078) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) op2(e23, e20) = all_28_117
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_117, e20, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2053), (2088) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_28_117 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) unit2 = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2090) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) op2(e23, e22) = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2090) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) op2(e23, e23) = e23
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2090) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) op2(e21, e23) = e21
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, e21, e23, e21,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (2093) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) e22 = e21
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, e22, e22, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2036), (2091) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) e23 = e22
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e23, e23,
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1845), (2092) gives:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) e23 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2095), (2096) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) e22 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2097) implies:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) e22 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2094), (2098) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) e21 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2099) imply:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) $false
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2100) is inconsistent.
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) unit2 = e22 | unit2 = e20
% 84.98/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (22), (31), (43), (772), (2053),
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) are inconsistent by sub-proof #170.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_20_3 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1848), (1857), (2102) are inconsistent by
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #100.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_20_1 = e22 | all_20_1 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (610), (777), (2029), (2103) are inconsistent by
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_26_11 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (900), (2104) are inconsistent by sub-proof
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | #124.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2105) all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | BETA: splitting (2105) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2106) all_26_5 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (542), (1884), (2106) are inconsistent by
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | sub-proof #99.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2107) all_26_8 = e21 | all_26_14 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (521), (702), (1866), (2107) are
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #98.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2108) ~ (all_20_5 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | REDUCE: (699), (2108) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2109) ~ (all_6_1 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2110) all_26_1 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (2110) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2111) all_16_4 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | SIMP: (2111) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2112) all_16_4 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | REDUCE: (113), (2112) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2113) ~ (all_16_8 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | SIMP: (2113) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2114) ~ (all_16_8 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | REDUCE: (1851), (2112) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2115) ~ (all_8_0 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2116) all_20_2 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (2114), (2116) are inconsistent by
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2117) ~ (all_20_2 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2118) all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | (2119) all_20_2 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (790), (2119) are inconsistent by sub-proof
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | #96.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | (2120) all_20_2 = e22 | all_20_2 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2120) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | (2121) all_20_2 = e22
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (2121) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | (2122) all_16_8 = e22
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | SIMP: (2122) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | (2123) all_16_8 = e22
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1852), (2123) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | (2124) ~ (all_8_0 = e22)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | SIMP: (2124) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | (2125) ~ (all_8_0 = e22)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | (2126) all_20_3 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1848), (2126) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | (2127) all_8_0 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (2127) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | (2128) $false
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2128) is inconsistent.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | (2129) ~ (all_20_3 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | (2130) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | (2131) all_26_1 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2110), (2131) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | (2132) e23 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2132) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | (2133) $false
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2133) is inconsistent.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | (2134) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_26_3 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (1879), (2135) are inconsistent by
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #102.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_26_7 = e23 | all_26_13 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2130) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_20_3 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1848), (2137) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_8_0 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2138) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_8_0 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1844), (2139) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2140) op2(e23, e20) = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_26_12 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1861), (2141) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) e23 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2142) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) $false
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2143) is inconsistent.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_26_13 = e23 | all_26_14 = e23 | all_26_15 =
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2144) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_26_13 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (2145) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_16_7 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15), (16), (17), (22), (23), (31), (43),
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (786), (973), (1867), (2140), (2146) are
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) ~ (all_26_13 = e23)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (2147) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) ~ (all_16_7 = e23)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (535), (1880), (2136), (2148) are
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #154.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_20_3 = e22 | all_20_3 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1848), (1857), (2125), (2149) are inconsistent by
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | (2150) all_20_2 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (1836), (2150) are inconsistent by
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | | sub-proof #94.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2151) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | BETA: splitting (2151) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2152) all_26_3 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2152) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2153) all_6_1 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | SIMP: (2153) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2154) all_6_1 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | REDUCE: (2109), (2154) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2155) $false
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | CLOSE: (2155) is inconsistent.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2156) all_26_7 = e21 | all_26_13 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (523), (535), (1864), (2156) are
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #109.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | (2157) all_20_4 = e22 | all_20_4 = e20
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | REF_CLOSE: (612), (766), (1834), (2157) are inconsistent by
% 84.98/12.65 | | | | | | | | | | | | | | | | sub-proof #132.
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | End of split
% 84.98/12.65 | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | (2158) all_20_12 = e23 | all_20_12 = e22 | all_20_12 =
% 84.98/12.65 | | | | | | | | | | | | | | e20
% 84.98/12.65 | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 84.98/12.65 | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | (2159) all_26_0 = e21
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | COMBINE_EQS: (1832), (2159) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | (2160) e21 = e20
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | REDUCE: (22), (2160) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | (2161) $false
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | CLOSE: (2161) is inconsistent.
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | (2162) ~ (all_26_0 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | (2163) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | BETA: splitting (2163) gives:
% 84.98/12.65 | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | (2164) all_26_2 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (2164) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | (2165) all_16_1 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | SIMP: (2165) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | (2166) all_16_1 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (943), (2166) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | (2167) all_28_80 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | REDUCE: (127), (2166) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | (2168) ~ (all_16_3 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | SIMP: (2168) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | (2169) ~ (all_16_3 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | REDUCE: (124), (2166) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | (2170) ~ (all_16_13 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | REDUCE: (146), (2166) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | (2171) op2(e22, e23) = e21
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | BETA: splitting (2158) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2172) all_20_12 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (2172) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2173) all_16_3 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (2173) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2174) all_26_12 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | COMBINE_EQS: (959), (2173) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2175) all_28_96 = e23
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | REDUCE: (119), (2173) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2176) ~ (all_16_7 = e23)
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | SIMP: (2176) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2177) ~ (all_16_7 = e23)
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | REDUCE: (1835), (2173) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | (2178) ~ (e23 = e20)
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2179) all_20_2 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (2179) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2180) all_16_8 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | SIMP: (2180) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2181) all_16_8 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (2181) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2182) all_26_4 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | REDUCE: (103), (2181) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2183) ~ (all_16_9 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | SIMP: (2183) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2184) ~ (all_16_9 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | REDUCE: (101), (2181) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2185) ~ (all_16_11 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | SIMP: (2185) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2186) ~ (all_16_11 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | REDUCE: (1852), (2181) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2187) ~ (all_8_0 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | REDUCE: (790), (2181) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | (2188) ~ (e23 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2189) all_26_12 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (2174), (2189) are inconsistent by sub-proof
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | #160.
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | (2190) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | (2191) all_26_13 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (2191) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | (2192) all_16_7 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | SIMP: (2192) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | (2193) all_16_7 = e21
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (2193) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | (2194) ~ (all_16_4 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (2193) imply:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | (2195) ~ (all_6_1 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | SIMP: (2195) implies:
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | (2196) ~ (all_6_1 = e21)
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.65 | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2193) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | (2197) op2(e20, e22) = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | (2198) all_20_3 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1848), (2198) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | (2199) all_8_0 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (2199) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | (2200) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2200) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | (2201) ~ (all_20_3 = e21)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | (2202) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | (2203) all_20_1 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (2203) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | (2204) all_16_4 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2194), (2204) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | (2205) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2205) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | (2206) ~ (all_20_1 = e21)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | (2207) all_20_1 = e23 | all_20_1 = e22 | all_20_1 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | (2208) all_26_15 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (2208) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | (2209) all_4_1 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2209) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | (2210) all_4_1 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (2210) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | (2211) ~ (all_16_13 = e20)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_26_2 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2164), (2212) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | (2213) e21 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2213) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | (2214) e21 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2214) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | (2215) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2215) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_26_3 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2217) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_6_1 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2218) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_6_1 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (2219) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2220) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2220) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_26_5 = e20 | all_26_10 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2221) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_26_5 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2222) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_16_9 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2223) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_16_9 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (2224) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) ~ (all_16_13 = e20)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (2224) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) ~ (all_6_1 = e20)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (2224) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) ~ (e23 = e20)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2224) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) op2(e22, e21) = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_20_7 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (902), (2229) are inconsistent by sub-proof
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) ~ (all_20_7 = e21)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) all_26_1 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (2232) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) all_16_4 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2233) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_16_4 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1851), (2234) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) ~ (all_8_0 = e22)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2235) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) ~ (all_8_0 = e22)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2234) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) op2(e23, e22) = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_26_1 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2232), (2238) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) e23 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2239) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2240) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2241) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_26_3 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2242) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_6_1 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2243) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_6_1 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (2244) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) ~ (all_16_13 = e23)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (831), (2244) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) op2(e23, e22) = all_28_40
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (2244) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) op2(e22, e23) = all_6_0
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_26_9 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (2248) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) all_8_0 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2249) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) all_8_0 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2236), (2250) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2251) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2231) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_20_7 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (2253) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_16_13 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2245), (2254) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2255) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_20_7 = e22 | all_20_7 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2252) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_26_10 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2257) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_16_13 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2258) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_16_13 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2259) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) op2(e22, e20) = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_6_0, e23, e22,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2171), (2247) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) all_6_0 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_40, e22, e23,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2237), (2246) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_28_40 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (2261) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) op2(e22, e21) = all_6_2
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_6_2, e21, e22,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2228), (2263) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_6_2 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (2264) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) op2(e20, e22) = all_28_66
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (2264) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) op2(e22, e20) = all_28_58
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_66, e22, e20,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2197), (2265) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_28_66 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_58, e20, e22,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2260), (2266) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_28_58 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) unit2 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (2269) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) op2(e22, e23) = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e22, e23, e22,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2171), (2270) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) e22 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2271) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2272) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) unit2 = e22 | unit2 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (22), (23), (43), (2171),
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197), (2237), (2260), (2273) are inconsistent by
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) ~ (all_26_10 = e22)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (2274) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) ~ (all_16_13 = e22)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (2211), (2256), (2275) are inconsistent by
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_26_7 = e23 | all_26_13 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (535), (2177), (2178), (2276) are
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #154.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) ~ (all_26_1 = e22)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2277) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) ~ (all_16_4 = e22)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_26_0 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1832), (2279) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) e22 = e20
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (2280) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2281) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2282) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_26_1 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (2283) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_16_4 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2284) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_16_4 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2278), (2285) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) $false
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2286) is inconsistent.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_26_4 = e22 | all_26_9 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2207) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_20_1 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (2288) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_16_4 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2289) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_16_4 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (2290) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) ~ (all_6_1 = e23)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2291) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) ~ (all_6_1 = e23)
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2290) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) op2(e23, e22) = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_26_9 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (772), (2182), (2287), (2294) are
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2295) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_26_10 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2296) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_16_13 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2297) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) op2(e22, e20) = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_26_9 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (2299) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_8_0 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2300) implies:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_8_0 = e22
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (821), (2301) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) op2(e22, all_8_2) = all_28_14
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (2301) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) op2(e22, e23) = all_28_12
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1840), (2301) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) op2(e22, e20) = all_28_8
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (2301) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) op2(all_8_2, e22) = all_28_27
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (2301) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) op2(e23, e22) = all_8_2
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1841), (2301) imply:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) op2(e20, e22) = all_28_2
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_2, e22, e20,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2197), (2307) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_28_2 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_8, e20, e22,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2298), (2304) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_28_8 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_12, e23, e22,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2171), (2303) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_28_12 = e21
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_8_2, e22, e23,
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2293), (2306) gives:
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_8_2 = e23
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (2311) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) op2(e23, e23) = all_28_33
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (2311) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) op2(e23, e23) = all_28_30
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2305), (2311) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) op2(e23, e22) = all_28_27
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (2311) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) op2(e23, e23) = all_28_22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2302), (2311) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) op2(e22, e23) = all_28_14
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_14, e23, e22,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2171), (2316) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_28_14 = e21
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_27, e22, e23,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2293), (2314) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_28_27 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_33, all_28_30, e23,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (2312), (2313) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_28_30 = all_28_33
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_22, e23, e23,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1845), (2315) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_28_22 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_30, all_28_22, e23,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (2313), (2315) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_28_22 = all_28_30
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2320), (2321) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_28_30 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2322) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_28_30 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2319), (2323) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_28_33 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2324) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_28_33 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) unit2 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2326) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) op2(e23, e22) = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2326) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) op2(e23, e23) = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (2326) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) op2(e22, e23) = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e22, e23, e22,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2171), (2329) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) e22 = e21
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, e22, e22, e23,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2293), (2327) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) e23 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e23, e23,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1845), (2328) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) e23 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (2330), (2331), (2332) are inconsistent by
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) unit2 = e22 | unit2 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2333) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) unit2 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2334) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) op2(e22, e23) = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2334) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) op2(e22, e20) = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, e20, e20, e22,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2298), (2336) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) e23 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e23, e23, e22,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2171), (2335) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) e23 = e21
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2337), (2338) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) e21 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2339) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) $false
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2340) is inconsistent.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) unit2 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2341) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) op2(e20, e22) = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e22, e22, e20,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2197), (2342) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) e22 = e21
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2343) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) $false
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2344) is inconsistent.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) ~ (all_26_9 = e22)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1849), (2345) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (all_8_0 = e22)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2202) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_20_3 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1848), (2347) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_8_0 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2348) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_8_0 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (2349) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_26_9 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (772), (2182), (2287), (2350) are
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_20_3 = e22 | all_20_3 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1848), (1857), (2346), (2351) are inconsistent by
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) ~ (all_26_10 = e23)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (2352) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) ~ (all_16_13 = e23)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (342), (540), (546), (2164), (2178), (2222),
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292), (2353) are inconsistent by sub-proof #101.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) ~ (all_20_1 = e23)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (610), (2354) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) ~ (all_16_4 = e23)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) all_26_1 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (2356) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_16_4 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2357) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_16_4 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2355), (2358) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) $false
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2359) is inconsistent.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2360) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_26_3 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2361) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_6_1 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2362) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_6_1 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (2363) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) ~ (all_16_13 = e23)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_26_9 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (772), (2182), (2287), (2365) are
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (523), (535), (540), (900), (2177), (2178),
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208), (2360), (2361), (2364), (2366) are
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_26_7 = e23 | all_26_13 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (535), (2177), (2178), (2367) are
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #154.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_26_10 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2368) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_16_13 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2369) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_16_13 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2211), (2370) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) $false
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2371) is inconsistent.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | (2372) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2372) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | (2373) all_26_12 = e20 | all_26_13 = e20 | all_26_14 =
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2373) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | (2374) all_26_12 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2174), (2178), (2374) are inconsistent by
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #144.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_26_13 = e20 | all_26_14 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2375) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_26_13 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (2191), (2376) are inconsistent by sub-proof
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | #127.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_26_14 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (2377) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_16_11 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2378) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_16_11 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (2379) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2380) ~ (all_16_9 = e20)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_26_4 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2182), (2381) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) e22 = e21
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2382) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) $false
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2383) is inconsistent.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2384) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_26_5 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2385) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_16_9 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2386) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_16_9 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (2387) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) ~ (all_6_1 = e22)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2388) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) ~ (all_6_1 = e22)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) all_26_1 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (2390) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_16_4 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2391) implies:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_16_4 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2392) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) op2(e23, e22) = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) unit2 = e23
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (2394) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) op2(e22, e23) = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e22, e23, e22,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2171), (2395) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) e22 = e21
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2396) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) $false
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2397) is inconsistent.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) unit2 = e22 | unit2 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2398) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) unit2 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2399) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) op2(e21, e22) = e21
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e21, e22, e21,
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (2400) gives:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) e21 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2401) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) $false
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2402) is inconsistent.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) unit2 = e20
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (2403) imply:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) op2(e22, e20) = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (22), (23), (43), (2171),
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197), (2393), (2398), (2404) are inconsistent by
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (535), (546), (770), (2191), (2389), (2405)
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #128.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) all_26_8 = e22 | all_26_14 = e22
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (770), (772), (2377), (2406) are
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | (2407) all_26_14 = e21 | all_26_15 = e21
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (521), (904), (2186), (2407) are
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #148.
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.67 | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.67 | | | | | | | | | | | | | | | | | |
% 84.98/12.67 | | | | | | | | | | | | | | | | | | (2408) ~ (all_20_2 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | (2409) all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | REDUCE: (617), (2408) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | (2410) ~ (all_16_8 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | BETA: splitting (2409) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | (2411) all_20_2 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (790), (2411) are inconsistent by sub-proof
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | #96.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | (2412) ~ (all_20_2 = e23)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | (2413) all_20_2 = e22 | all_20_2 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | (2414) all_26_0 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1832), (2414) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | (2415) e21 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2415) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | (2416) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | CLOSE: (2416) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | (2417) all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2417) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2418) all_26_1 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (2418) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2419) all_16_4 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (2419) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2420) all_16_4 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (944), (2420) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2421) all_28_74 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (2420) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2422) ~ (all_16_7 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (2422) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2423) ~ (all_16_7 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1851), (2420) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2424) ~ (all_8_0 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (2420) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2425) ~ (all_6_1 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (2425) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | (2426) ~ (all_6_1 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | (2427) all_20_13 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (2427) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | (2428) all_16_7 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2423), (2428) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | (2429) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2429) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | (2430) ~ (all_20_13 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | (2431) all_20_13 = e23 | all_20_13 = e22 | all_20_13 =
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2431) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | (2432) all_20_13 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (2432) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | (2433) all_16_7 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2177), (2433) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | (2434) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2434) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | (2435) ~ (all_20_13 = e23)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | (2436) all_20_13 = e22 | all_20_13 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_26_12 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (2174), (2437) are inconsistent by sub-proof
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | #160.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (2438) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2438) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_26_13 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (2423), (2439) are inconsistent by
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #122.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_26_14 = e21 | all_26_15 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2440) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_26_14 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (2441) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) all_16_11 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2442) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_16_11 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (957), (2443) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_28_102 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (2443) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) ~ (e23 = e21)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_26_0 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1832), (2446) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) e23 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2178), (2447) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2448) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2449) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_26_1 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2418), (2450) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) e23 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2451) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2452) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_26_4 = e23 | all_26_9 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2453) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_26_4 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (2454) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_16_8 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2455) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) all_16_8 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (2456) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2457) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_26_9 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (2458) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_8_0 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2459) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_8_0 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1850), (2460) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) all_28_78 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1855), (2460) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) ~ (all_4_1 = e23)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2462) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) ~ (all_4_1 = e23)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) all_26_2 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2164), (2464) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) e23 = e21
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2465) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2466) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_26_15 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (2468) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_4_1 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2469) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_4_1 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (956), (2470) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_28_105 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2467) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_26_3 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2472) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_6_1 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2473) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) all_6_1 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (942), (2474) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_28_82 = e23
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (2474) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) ~ (all_16_13 = e23)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_26_9 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (2458), (2477) are inconsistent by
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2478) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) all_26_10 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2479) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_16_13 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2480) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_16_13 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (961), (2481) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_28_86 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) all_26_12 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2174), (2483) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) e23 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2484) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) e23 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2485) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2486) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_26_13 = e22 | all_26_14 = e22 | all_26_15 =
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_26_4 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (2488) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) all_16_8 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2489) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_16_8 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (917), (2490) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_28_76 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2487) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_26_13 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (2492) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_16_7 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2493) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_16_7 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (958), (2494) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_28_99 = e22
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_26_4 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (2488), (2496) are inconsistent by
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2497) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_26_5 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2498) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_16_9 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2499) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_16_9 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (2500) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_28_84 = e20
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_22_14 = e11
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (2502) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_18_11 = e11
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2503) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_18_11 = e11
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (2504) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) ~ (all_18_3 = e11)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (2504) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) ~ (all_18_7 = e11)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (2504) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) ~ (all_18_9 = e11)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (2504) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) h2(e11) = all_28_104
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) all_22_12 = e11
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2509) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_18_3 = e11
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2510) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_18_3 = e11
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2505), (2511) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2512) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) ~ (all_22_12 = e11)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_22_12 = e13 | all_22_12 = e12 | all_22_12 =
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2514) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_22_12 = e13
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2515) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_18_3 = e13
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2516) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_18_3 = e13
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (2517) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) ~ (all_18_1 = e13)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2517) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) ~ (all_18_7 = e13)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2519) implies:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) ~ (all_18_7 = e13)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (2517) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) ~ (all_14_0 = e13)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (2517) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) h2(e13) = all_28_98
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_22_13 = e11
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2523) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_18_7 = e11
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2506), (2524) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2525) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) ~ (all_22_13 = e11)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_22_13 = e13 | all_22_13 = e12 | all_22_13 =
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2527) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_22_13 = e13
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2528) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_18_7 = e13
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2520), (2529) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) $false
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2530) is inconsistent.
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) all_22_13 = e12 | all_22_13 = e10
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2531) gives:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_22_13 = e12
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2532) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) all_18_7 = e12
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (2533) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) ~ (all_18_4 = e12)
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (2533) imply:
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) h2(e12) = all_28_101
% 84.98/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with e21, all_28_104, e11,
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (73), (2508) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_28_104 = e21
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with e22, all_28_101, e12,
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (932), (2535) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_28_101 = e22
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with e23, all_28_98, e13,
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (814), (2522) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_28_98 = e23
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_22_3 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (879), (2539) are inconsistent by sub-proof
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #88.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) all_22_0 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (2541) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_14_0 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2542) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_24_0 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (2542) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) ~ (all_18_4 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2542) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) ~ (all_18_8 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2542) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) op1(e13, e13) = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_24_0 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (887), (2543), (2547) are inconsistent by
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2548) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) all_24_2 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (2549) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_18_1 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (2550) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) ~ (all_18_9 = e10)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2551) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) ~ (all_18_9 = e10)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (2550) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) ~ (e12 = e10)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_22_6 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (2554) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_18_9 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2555) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_18_9 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2507), (2556) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2557) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) ~ (all_22_6 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_22_6 = e13 | all_22_6 = e12 | all_22_6 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_22_1 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (2560) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_18_4 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2544), (2561) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2562) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2563) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) all_22_1 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (2564) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_18_4 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (2565) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) ~ (all_18_12 = e13)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2566) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) ~ (all_18_12 = e13)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (2565) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) op1(e13, e12) = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) all_24_4 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2569) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) all_18_8 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2570) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) all_18_8 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2545), (2571) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) ~ (e11 = e10)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_24_4 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2569), (2573) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) e12 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (2574) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2575) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) all_24_5 = e12 | all_24_8 = e12 | all_24_14 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_24_5 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (2577) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_18_9 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2578) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) all_18_9 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (2579) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) ~ (all_18_13 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2580) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) ~ (all_18_13 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (28), (42), (212),
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297), (582), (590), (723), (878), (879), (886),
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887), (984), (988), (2546), (2567), (2568),
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) are inconsistent by sub-proof #79.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) ~ (all_24_5 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (2582) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) ~ (all_18_9 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2559) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) all_22_6 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (2584) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_18_9 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (2585) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2586) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_22_6 = e12 | all_22_6 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2587) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_22_6 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (2588) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_18_9 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2583), (2589) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2590) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_22_6 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (2591) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_18_9 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2552), (2592) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2593) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2594) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_24_5 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (2552), (2595) are inconsistent by
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_24_8 = e10 | all_24_14 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (604), (741), (992), (2596) are
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_22_1 = e12 | all_22_1 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (730), (2534), (2597) are inconsistent by
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_24_6 = e10 | all_24_12 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (723), (991), (2598) are
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) ~ (all_22_0 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_22_0 = e13 | all_22_0 = e12 | all_22_0 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (2599) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) ~ (all_14_0 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2600) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_22_0 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (2602) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_14_0 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (987), (2603) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2604) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_22_0 = e12 | all_22_0 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_24_0 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (701), (2601), (2606) are inconsistent by
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #72.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) ~ (all_24_0 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2608) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_24_1 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2609) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) all_18_4 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2610) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_18_4 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (2611) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) ~ (all_18_8 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2612) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) ~ (all_18_8 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (2611) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) ~ (all_14_1 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2614) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) ~ (all_14_1 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (2611) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) h2(e11) = all_28_75
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_22_5 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (644), (2615), (2617) are inconsistent by
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_22_5 = e13 | all_22_5 = e12 | all_22_5 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_24_1 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2609), (2619) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) e13 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (2620) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2621) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2605) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_22_0 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (710), (2623) are inconsistent by sub-proof
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #70.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_22_0 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (2624) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_14_0 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2625) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_14_0 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (2626) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) ~ (all_18_1 = e10)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2626) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) ~ (all_18_8 = e10)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2626) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) h2(e10) = all_28_73
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) all_22_2 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (2613), (2630) are inconsistent by
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) ~ (all_22_2 = e11)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_22_2 = e13 | all_22_2 = e12 | all_22_2 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2632) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) all_22_2 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (745), (2633) are inconsistent by sub-proof
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_22_2 = e12 | all_22_2 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_22_4 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (2635) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_18_1 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2636) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) all_18_1 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (2637) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_24_2 = e11
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (2637) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) h2(e11) = all_28_81
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2634) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_22_2 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (2640) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_18_8 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2641) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_18_8 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2642) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_24_4 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2642) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) ~ (all_18_9 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2644) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) ~ (all_18_9 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (2642) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) ~ (all_18_12 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2646) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) ~ (all_18_12 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2642) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) h2(e12) = all_28_77
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_24_9 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (2649) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) all_18_12 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2650) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_18_12 = e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2647), (2651) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2652) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) ~ (all_24_9 = e12)
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) all_24_10 = e12 | all_24_11 = e12 | all_24_15 =
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2622) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) all_24_3 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (2655) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) all_14_1 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2656) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_14_1 = e13
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (2657) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) h2(e13) = all_28_83
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) all_24_4 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2643), (2659) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) e12 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2660) implies:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) e12 = e10
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (2661) imply:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) $false
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2662) is inconsistent.
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2663) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_24_5 = e10
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (2664) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) all_18_9 = e10
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2665) implies:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_18_9 = e10
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2645), (2666) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) ~ (e12 = e10)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (2666) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) h2(e10) = all_28_85
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_24_9 = e13
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (2669) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_18_12 = e13
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2670) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) h2(e13) = all_28_79
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_24_2 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2638), (2672) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) e12 = e11
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (2673) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2674) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_24_3 = e12 | all_24_5 = e12 | all_24_10 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2675) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_24_3 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2655), (2676) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) e13 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2677) implies:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) e13 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (2678) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2679) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_24_5 = e12 | all_24_10 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2680) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_24_5 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2664), (2681) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) e12 = e10
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (2682) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2683) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_24_10 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (2684) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) all_18_13 = e12
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (2685) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) h2(e12) = all_28_87
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with e20, all_28_73, e10,
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (948), (2629) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_28_73 = e20
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_28_85, all_28_73, e10,
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2629), (2668) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_28_73 = all_28_85
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with e21, all_28_75, e11,
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (73), (2616) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_28_75 = e21
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_28_81, all_28_75, e11,
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2616), (2639) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_28_75 = all_28_81
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with e22, all_28_77, e12,
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (932), (2648) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_28_77 = e22
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_28_87, all_28_77, e12,
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2648), (2686) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_28_77 = all_28_87
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with e23, all_28_79, e13,
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (814), (2671) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) all_28_79 = e23
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_28_83, all_28_79, e13,
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2658), (2671) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_28_79 = all_28_83
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2687), (2688) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_28_85 = e20
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2689), (2690) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_28_81 = e21
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2691), (2692) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_28_87 = e22
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2697) implies:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) all_28_87 = e22
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2693), (2694) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_28_83 = e23
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) ~ (all_28_72 = all_28_73)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1833), (2687), (2700) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2701) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) ~ (all_28_74 = all_28_75) | ~ (all_28_76 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_80 = all_28_81) | ~ (all_28_82 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_83) | ~ (all_28_84 = all_28_85) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_86 = all_28_87) | ~ (all_28_88 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2702) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) ~ (all_28_74 = all_28_75)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2421), (2689), (2703) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2704) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) ~ (all_28_76 = all_28_77) | ~ (all_28_78 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_79) | ~ (all_28_80 = all_28_81) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_82 = all_28_83) | ~ (all_28_84 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_88 = all_28_89) | ~ (all_28_90 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2705) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) ~ (all_28_76 = all_28_77)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2491), (2691), (2706) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2707) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) ~ (all_28_78 = all_28_79) | ~ (all_28_80 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_84 = all_28_85) | ~ (all_28_86 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_87) | ~ (all_28_88 = all_28_89) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_90 = all_28_91) | ~ (all_28_92 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) ~ (all_28_78 = all_28_79)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2461), (2693), (2709) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2710) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) ~ (all_28_80 = all_28_81) | ~ (all_28_82 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_83) | ~ (all_28_84 = all_28_85) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_86 = all_28_87) | ~ (all_28_88 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2711) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_28_80 = all_28_81)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2167), (2696), (2712) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2713) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) ~ (all_28_82 = all_28_83) | ~ (all_28_84 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_88 = all_28_89) | ~ (all_28_90 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2714) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) ~ (all_28_82 = all_28_83)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (2699), (2715) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2716) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) ~ (all_28_84 = all_28_85) | ~ (all_28_86 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_87) | ~ (all_28_88 = all_28_89) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_90 = all_28_91) | ~ (all_28_92 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2717) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) ~ (all_28_84 = all_28_85)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2501), (2695), (2718) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2719) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) ~ (all_28_86 = all_28_87) | ~ (all_28_88 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2720) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) ~ (all_28_86 = all_28_87)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2482), (2698), (2721) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2722) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) ~ (all_28_88 = all_28_89) | ~ (all_28_90 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2723) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) ~ (all_28_88 = all_28_89)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (931), (2724) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2725) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) ~ (all_28_90 = all_28_91) | ~ (all_28_92 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2726) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) ~ (all_28_90 = all_28_91)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (946), (947), (2727) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2728) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) ~ (all_28_92 = all_28_93) | ~ (all_28_94 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2729) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) ~ (all_28_92 = all_28_93)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (910), (925), (2730) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2731) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) ~ (all_28_94 = all_28_95) | ~ (all_28_96 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2732) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) ~ (all_28_94 = all_28_95)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (923), (960), (2733) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2734) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) ~ (all_28_96 = all_28_98) | ~ (all_28_99 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2735) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) ~ (all_28_96 = all_28_98)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2175), (2538), (2736) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2737) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) ~ (all_28_99 = all_28_101) | ~ (all_28_102 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2738) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) ~ (all_28_99 = all_28_101)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2495), (2537), (2739) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) $false
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2740) is inconsistent.
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) ~ (all_28_102 = all_28_104) | ~ (all_28_105 =
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2741) gives:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) ~ (all_28_102 = all_28_104)
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2444), (2536), (2742) imply:
% 84.98/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) $false
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2743) is inconsistent.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 =
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_28_100 = e23) & ~ (all_28_103
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_28_106 = e23)) | ( ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2744) gives:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) ~ (all_28_105 = all_28_107)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (2471), (2745) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) $false
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2746) is inconsistent.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) ( ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) ( ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22))
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2748) gives:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2749) implies:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) ~ (all_28_97 = e23)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (2750) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) $false
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2751) is inconsistent.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2752) implies:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) ~ (all_28_100 = e22)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (2753) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) $false
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2754) is inconsistent.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) ( ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2755) gives:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2756) implies:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) ~ (all_28_103 = e21)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (2757) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) $false
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2758) is inconsistent.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2759) implies:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) ~ (all_28_106 = e20)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (945), (2760) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) $false
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2761) is inconsistent.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) ~ (all_24_9 = e13)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (2762) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) ~ (all_18_12 = e13)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2540) gives:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) all_22_3 = e13
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (2763), (2764) are inconsistent by
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_22_3 = e12 | all_22_3 = e10
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (993), (2647), (2765) are inconsistent by
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_24_8 = e10 | all_24_14 = e10
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (604), (741), (992), (2766) are
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) ~ (all_24_3 = e13)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (2767) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) ~ (all_14_1 = e13)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2618) gives:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_22_5 = e13
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (644), (2768), (2769) are inconsistent by
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_22_5 = e12 | all_22_5 = e10
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2770) gives:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) all_22_5 = e12
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (2771) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_14_1 = e12
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2772) implies:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_14_1 = e12
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (2773) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) ~ (all_18_13 = e12)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (723), (878), (886), (988), (2654), (2774)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #80.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_22_5 = e10
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (644), (731), (2775) are inconsistent by sub-proof
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #62.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_22_2 = e10
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (2628), (2776) are inconsistent by
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e10
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (642), (719), (2518), (2627), (2777) are
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) ~ (all_24_1 = e11)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2778) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) ~ (all_18_4 = e11)
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_24_1 = e11
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2780) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_18_4 = e11
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2781) implies:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_18_4 = e11
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2779), (2782) imply:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) $false
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2783) is inconsistent.
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.98/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_24_0 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (701), (2601), (2785) are inconsistent by
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #72.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2786) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_24_2 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (2787) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_18_1 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2788) implies:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_18_1 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (2789) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) ~ (all_14_1 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2790) implies:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) ~ (all_14_1 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (601), (700), (887), (2506), (2784), (2791)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #55.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_24_6 = e11 | all_24_12 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (886), (2505), (2792) are
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_22_13 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2793) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_18_7 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (2794) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) $false
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2795) is inconsistent.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_22_12 = e12 | all_22_12 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (722), (991), (2796) are inconsistent by
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_22_14 = e13 | all_22_14 = e12 | all_22_14 =
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2797) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_22_14 = e13
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (748), (2798) are inconsistent by sub-proof
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #52.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) ~ (all_22_14 = e13)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_22_14 = e12 | all_22_14 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2800) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_22_14 = e12
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (2801) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_18_11 = e12
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2802) implies:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_18_11 = e12
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (2803) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) ~ (all_18_7 = e12)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2803) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) ~ (all_18_8 = e12)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_22_0 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (2806) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_14_0 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2807) implies:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_14_0 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (2808) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) ~ (all_18_3 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2808) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) op1(e13, e13) = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_22_12 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2811) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_18_3 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2809), (2812) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) $false
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2813) is inconsistent.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_22_12 = e13 | all_22_12 = e12 | all_22_12 =
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2814) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_22_12 = e13
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2815) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_18_3 = e13
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2816) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) ~ (all_18_7 = e13)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2817) implies:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) ~ (all_18_7 = e13)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_22_13 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2819) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_18_7 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (2820) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) ~ (all_18_4 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (2820) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) ~ (all_14_1 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2822) implies:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) ~ (all_14_1 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (2820) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) op1(e10, e12) = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_22_3 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (879), (2825) are inconsistent by sub-proof
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #88.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) ~ (all_22_3 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_22_5 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (644), (2823), (2828) are inconsistent by
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) ~ (all_22_5 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_22_5 = e13 | all_22_5 = e12 | all_22_5 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_22_1 = e11
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (2821), (2831) are inconsistent by
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) ~ (all_22_1 = e11)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_24_1 = e12
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2834) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_18_4 = e12
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (2835) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) ~ (all_18_12 = e12)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2836) implies:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) ~ (all_18_12 = e12)
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2827) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_22_3 = e13
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2838) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_18_12 = e13
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2839) implies:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_18_12 = e13
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (2840) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) op1(e13, e10) = e13
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) unit1 = e13
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2842) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) op1(e13, e10) = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e10, e13, e10, e13,
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2841), (2843) gives:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) e13 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (2844) imply:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) $false
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2845) is inconsistent.
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) unit1 = e12 | unit1 = e10
% 85.60/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (28), (42), (886), (887), (2824), (2846)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #50.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_22_3 = e12 | all_22_3 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (993), (2837), (2847) are inconsistent by
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) ~ (all_24_1 = e12)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2848) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) ~ (all_18_4 = e12)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2849) gives:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_24_3 = e12
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (2851) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_14_1 = e12
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (2852) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) ~ (all_18_13 = e12)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_24_1 = e13
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2854) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_18_4 = e13
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (2855) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) ~ (all_18_12 = e13)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2856) implies:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) ~ (all_18_12 = e13)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (2855) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) op1(e13, e12) = e13
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (28), (42), (212),
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297), (582), (590), (723), (878), (879), (886),
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887), (984), (988), (2810), (2853), (2857),
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) are inconsistent by sub-proof #79.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) ~ (all_24_1 = e13)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2859) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) ~ (all_18_4 = e13)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (641), (730), (2821), (2850), (2860) are
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) ~ (all_24_3 = e12)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (641), (644), (729), (730), (731), (2830),
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833), (2850), (2861) are inconsistent by
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #47.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_22_13 = e13 | all_22_13 = e12 | all_22_13 =
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (739), (2804), (2818), (2862) are
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_22_12 = e12 | all_22_12 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (722), (991), (2863) are inconsistent by
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_22_0 = e13 | all_22_0 = e12 | all_22_0 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2864) gives:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_22_0 = e13
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (2865) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_14_0 = e13
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2866) implies:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_14_0 = e13
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (987), (2867) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) $false
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2868) is inconsistent.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_22_0 = e12 | all_22_0 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2869) gives:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_22_0 = e12
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (710), (2870) are inconsistent by sub-proof
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #70.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_22_0 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (2871) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_14_0 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2872) implies:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_14_0 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2873) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_24_0 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (2873) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) ~ (all_18_1 = e10)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2873) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) ~ (all_18_8 = e10)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_22_2 = e11
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (2877) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_18_8 = e11
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (2878) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) ~ (all_18_4 = e11)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (2878) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) ~ (all_18_12 = e11)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_22_1 = e11
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (2879), (2881) are inconsistent by
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) ~ (all_22_1 = e11)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_22_12 = e11
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2884) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_18_3 = e11
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (2885) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_24_12 = e11
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (2885) imply:
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) ~ (all_18_1 = e11)
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 85.60/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2885) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) ~ (all_18_7 = e11)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2888) implies:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) ~ (all_18_7 = e11)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (2885) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) op1(e10, e13) = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_22_13 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (2889), (2891) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_22_13 = e13 | all_22_13 = e12 | all_22_13 =
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_22_4 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (2893) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_18_1 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2887), (2894) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) $false
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2895) is inconsistent.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) ~ (all_22_4 = e11)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2897) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_22_4 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (2898) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_18_1 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (2899) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) op1(e12, e13) = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_24_12 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2886), (2901) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) e13 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (2902) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) $false
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2903) is inconsistent.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_24_13 = e13 | all_24_14 = e13 | all_24_15 =
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2904) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_24_13 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (2905) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_18_7 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2906) implies:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_18_7 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (2907) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) ~ (all_18_4 = e13)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (2907) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) op1(e10, e12) = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_24_9 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (2910) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_18_12 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (2911) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) op1(e13, e10) = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) unit1 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (2913) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) op1(e10, e13) = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (8), (28), (29), (42), (202),
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601), (662), (739), (887), (984), (2804), (2892),
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900), (2904), (2912), (2914) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) unit1 = e12 | unit1 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (8), (28), (42), (886), (887), (2890),
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909), (2915) are inconsistent by sub-proof #40.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) ~ (all_24_9 = e13)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (2916) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) ~ (all_18_12 = e13)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_22_3 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (879), (2918) are inconsistent by sub-proof
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #88.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2919) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_22_3 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (2917), (2920) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_22_3 = e12 | all_22_3 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_24_1 = e12
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2922) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_18_4 = e12
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (2923) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) ~ (all_18_12 = e12)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2924) implies:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) ~ (all_18_12 = e12)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (993), (2921), (2925) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) ~ (all_24_1 = e12)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2926) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) ~ (all_18_4 = e12)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2883) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_22_1 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (2908), (2928) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_22_1 = e12 | all_22_1 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (730), (2927), (2929) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_24_14 = e13 | all_24_15 = e13
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (604), (741), (748), (988), (2930) are
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_22_4 = e12 | all_22_4 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (642), (719), (2875), (2931) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) ~ (all_22_12 = e11)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (2932) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) ~ (all_18_3 = e11)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_24_0 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (887), (2874), (2934) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2935) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_24_2 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (2936) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_18_1 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2937) implies:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_18_1 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (2938) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) ~ (all_18_3 = e11)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (2938) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) ~ (all_14_1 = e11)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2940) implies:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) ~ (all_14_1 = e11)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (2938) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) op1(e12, e13) = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_24_1 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2943) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_18_4 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2879), (2944) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) $false
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2945) is inconsistent.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2946) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) all_24_3 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (2947) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) all_14_1 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2941), (2948) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) $false
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2949) is inconsistent.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) all_24_7 = e11 | all_24_13 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2950) gives:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) all_24_7 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (700), (2951) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) e11 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2952) implies:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) e11 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2936), (2953) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) all_24_2 = e10
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (886), (887), (2933), (2935), (2954)
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #37.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_24_13 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (2955) imply:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) all_18_7 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2956) implies:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) all_18_7 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (7), (28), (42), (202), (739), (886),
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984), (2942), (2957) are inconsistent by
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) all_24_6 = e11 | all_24_12 = e11
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (886), (2933), (2958) are
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) all_22_2 = e13 | all_22_2 = e12 | all_22_2 = e10
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2959) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_22_2 = e13
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (745), (2960) are inconsistent by sub-proof
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) all_22_2 = e12 | all_22_2 = e10
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2961) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_22_2 = e12
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (2962) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_18_8 = e12
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2963) implies:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) all_18_8 = e12
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2964) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) ~ (all_18_11 = e12)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2965) implies:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) ~ (all_18_11 = e12)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2797) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_22_14 = e13
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (748), (2967) are inconsistent by sub-proof
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #52.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2800) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2803), (2966) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) $false
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2968) is inconsistent.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_22_14 = e10
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (992), (2969) are inconsistent by sub-proof
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) all_22_2 = e10
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (2876), (2970) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) all_22_14 = e10
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (992), (2971) are inconsistent by sub-proof
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_26_8 = e20 | all_26_14 = e20
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (702), (2178), (2441), (2972) are
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #115.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) ~ (all_26_13 = e22)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (2973) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) ~ (all_16_7 = e22)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (633), (786), (2436), (2974) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) ~ (all_26_4 = e22)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (2975) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) ~ (all_16_8 = e22)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (1836), (2413), (2976) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_26_11 = e22 | all_26_15 = e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (770), (900), (2468), (2977) are
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #164.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) ~ (all_26_3 = e23)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (2978) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) ~ (all_6_1 = e23)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_20_5 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (2980) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_6_1 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2426), (2981) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) $false
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2982) is inconsistent.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e20
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) all_26_9 = e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (2458), (2984) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2985) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_26_10 = e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2986) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_16_13 = e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2987) implies:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_16_13 = e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (2988) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) ~ (all_6_1 = e22)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2989) implies:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) ~ (all_6_1 = e22)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (778), (2979), (2983), (2990) are
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_26_11 = e22 | all_26_15 = e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (770), (900), (2468), (2991) are
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #164.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) ~ (all_26_15 = e20)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (2992) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) ~ (all_4_1 = e20)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_20_15 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (904), (2994) are inconsistent by sub-proof
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_20_15 = e23 | all_20_15 = e22 | all_20_15 =
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2995) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_20_15 = e23
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (2996) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_4_1 = e23
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2463), (2997) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) $false
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2998) is inconsistent.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_20_15 = e22 | all_20_15 = e20
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2999) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_20_15 = e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (3000) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_4_1 = e22
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (3001) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) ~ (all_16_7 = e22)
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (633), (786), (2177), (2431), (3002) are
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_20_15 = e20
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (3003) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_4_1 = e20
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2993), (3004) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) $false
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3005) is inconsistent.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_26_15 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (904), (3006) are inconsistent by sub-proof
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | #110.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | (3007) all_26_4 = e21 | all_26_9 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | (3008) all_26_4 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (552), (2410), (3008) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | sub-proof #32.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | (3009) all_26_9 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (3009) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | (3010) all_8_0 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3010) implies:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | (3011) all_8_0 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (3011) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | (3012) $false
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3012) is inconsistent.
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | (3013) all_20_12 = e22 | all_20_12 = e20
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (632), (769), (1835), (3013) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | sub-proof #143.
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | (3014) ~ (all_26_2 = e21)
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | REDUCE: (548), (3014) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | (3015) ~ (all_16_1 = e21)
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | (3016) all_20_4 = e21
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (3015), (3016) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | sub-proof #174.
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | (3017) ~ (all_20_4 = e21)
% 86.04/12.73 | | | | | | | | | | | | | | | | | (3018) all_20_4 = e23 | all_20_4 = e22 | all_20_4 = e20
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | BETA: splitting (2158) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3019) all_20_12 = e23
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (3019) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3020) all_16_3 = e23
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | SIMP: (3020) implies:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3021) all_16_3 = e23
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | REDUCE: (127), (3021) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3022) ~ (all_16_1 = e23)
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (766), (1834), (3018), (3022) are
% 86.04/12.73 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #131.
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3023) all_20_12 = e22 | all_20_12 = e20
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (525), (538), (548), (632), (769),
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (2163), (3015), (3023) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | | sub-proof #31.
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | End of split
% 86.04/12.73 | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | (3024) ~ (all_24_15 = e10)
% 86.04/12.73 | | | | | | | | | | (3025) (all_24_9 = e10 | all_24_10 = e10 | all_24_11 =
% 86.04/12.73 | | | | | | | | | | e10) & (all_24_12 = e10 | all_24_13 = e10 |
% 86.04/12.73 | | | | | | | | | | all_24_14 = e10)
% 86.04/12.73 | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | ALPHA: (3025) implies:
% 86.04/12.73 | | | | | | | | | | (3026) all_24_12 = e10 | all_24_13 = e10 | all_24_14 =
% 86.04/12.73 | | | | | | | | | | e10
% 86.04/12.73 | | | | | | | | | | (3027) all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10
% 86.04/12.73 | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | REDUCE: (606), (3024) imply:
% 86.04/12.73 | | | | | | | | | | (3028) ~ (all_14_3 = e10)
% 86.04/12.73 | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | BETA: splitting (263) gives:
% 86.04/12.73 | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | (3029) all_22_15 = e11
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | COMBINE_EQS: (665), (3029) imply:
% 86.04/12.73 | | | | | | | | | | | (3030) all_14_3 = e11
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | REDUCE: (882), (3030) imply:
% 86.04/12.73 | | | | | | | | | | | (3031) $false
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | CLOSE: (3031) is inconsistent.
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | (3032) all_22_15 = e13 | all_22_15 = e12 | all_22_15 =
% 86.04/12.73 | | | | | | | | | | | e10
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | BETA: splitting (275) gives:
% 86.04/12.73 | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | (3033) all_22_0 = e11
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | COMBINE_EQS: (512), (3033) imply:
% 86.04/12.73 | | | | | | | | | | | | (3034) all_14_0 = e11
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | COMBINE_EQS: (701), (3034) imply:
% 86.04/12.73 | | | | | | | | | | | | (3035) all_24_0 = e11
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | REDUCE: (709), (3034) imply:
% 86.04/12.73 | | | | | | | | | | | | (3036) ~ (all_18_1 = e11)
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | REDUCE: (712), (3034) imply:
% 86.04/12.73 | | | | | | | | | | | | (3037) ~ (all_18_3 = e11)
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | REDUCE: (714), (3034) imply:
% 86.04/12.73 | | | | | | | | | | | | (3038) ~ (all_18_4 = e11)
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | REDUCE: (716), (3034) imply:
% 86.04/12.73 | | | | | | | | | | | | (3039) ~ (all_18_8 = e11)
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | REDUCE: (86), (3034) imply:
% 86.04/12.73 | | | | | | | | | | | | (3040) op1(e13, e13) = e11
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | BETA: splitting (266) gives:
% 86.04/12.73 | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | (3041) all_22_12 = e11
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | COMBINE_EQS: (661), (3041) imply:
% 86.04/12.73 | | | | | | | | | | | | | (3042) all_18_3 = e11
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | REDUCE: (3037), (3042) imply:
% 86.04/12.73 | | | | | | | | | | | | | (3043) $false
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | CLOSE: (3043) is inconsistent.
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | (3044) all_22_12 = e13 | all_22_12 = e12 | all_22_12 =
% 86.04/12.73 | | | | | | | | | | | | | e10
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | BETA: splitting (274) gives:
% 86.04/12.73 | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | (3045) all_22_1 = e11
% 86.04/12.73 | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | REF_CLOSE: (641), (3038), (3045) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | sub-proof #51.
% 86.04/12.73 | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | (3046) ~ (all_22_1 = e11)
% 86.04/12.73 | | | | | | | | | | | | | | (3047) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 86.04/12.73 | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 86.04/12.73 | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | (3048) all_22_4 = e11
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3048) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | (3049) all_18_1 = e11
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | REDUCE: (3036), (3049) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | (3050) $false
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | CLOSE: (3050) is inconsistent.
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | (3051) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e10
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 86.04/12.73 | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | (3052) all_22_2 = e11
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | REF_CLOSE: (645), (3039), (3052) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | sub-proof #69.
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | (3053) ~ (all_22_2 = e11)
% 86.04/12.73 | | | | | | | | | | | | | | | | (3054) all_22_2 = e13 | all_22_2 = e12 | all_22_2 = e10
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | (3055) all_24_0 = e13
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (884), (3035), (3055) are inconsistent by
% 86.04/12.73 | | | | | | | | | | | | | | | | | sub-proof #30.
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | (3056) ~ (all_24_0 = e13)
% 86.04/12.73 | | | | | | | | | | | | | | | | | (3057) all_24_1 = e13 | all_24_4 = e13 | all_24_9 = e13
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3058) all_24_4 = e11
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3058) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3059) all_18_8 = e11
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3059) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3060) $false
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | CLOSE: (3060) is inconsistent.
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | (3061) all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 86.04/12.73 | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | (3062) all_24_1 = e11
% 86.04/12.73 | | | | | | | | | | | | | | | | | | |
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3062) imply:
% 86.04/12.73 | | | | | | | | | | | | | | | | | | | (3063) all_18_4 = e11
% 86.04/12.73 | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | REDUCE: (3038), (3063) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | (3064) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | CLOSE: (3064) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | (3065) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | (3066) all_24_0 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (884), (3035), (3066) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | sub-proof #30.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | (3067) all_24_2 = e13 | all_24_6 = e13 | all_24_12 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | (3068) all_22_13 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3068) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | (3069) all_18_7 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (3069) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | (3070) all_24_13 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (3069) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | (3071) ~ (all_18_11 = e11)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | SIMP: (3071) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | (3072) ~ (all_18_11 = e11)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (3069) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | (3073) op1(e10, e12) = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3061) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | (3074) all_24_5 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (3074) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | (3075) all_18_9 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (3075) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | (3076) ~ (all_18_13 = e11)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (3075) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | (3077) ~ (all_14_1 = e11)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3077) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | (3078) ~ (all_14_1 = e11)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | (3079) all_22_5 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (644), (3078), (3079) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | (3080) ~ (all_22_5 = e11)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | (3081) all_22_5 = e13 | all_22_5 = e12 | all_22_5 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_24_1 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3082) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_18_4 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3083) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3084) ~ (all_18_12 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3084) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3085) ~ (all_18_12 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (3083) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3086) ~ (all_14_1 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3086) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3087) ~ (all_14_1 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_24_2 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (3088) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (3089) all_18_1 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (3089) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (3090) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3090) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_24_3 = e12 | all_24_5 = e12 | all_24_10 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_24_1 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (3082), (3092) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3093) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_24_3 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (3094) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) all_14_1 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3057) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_24_1 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (3082), (3096) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_24_4 = e13 | all_24_9 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3097) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) all_24_4 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3098) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_18_8 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (3099) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3100) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_24_9 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3101) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_18_12 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (3102) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) ~ (all_14_3 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3103) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) ~ (all_14_3 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_24_3 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3094), (3105) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) e13 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (3106) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3107) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_24_5 = e12 | all_24_10 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3108) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_24_5 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (886), (3074), (3109) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_24_10 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (3110) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) all_18_13 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (3111) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) ~ (all_14_3 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3112) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) ~ (all_14_3 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3032) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_22_15 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3104), (3114) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_22_15 = e12 | all_22_15 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3028), (3113), (3115) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_24_7 = e13 | all_24_13 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (700), (741), (884), (3070), (3116) are
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3117) ~ (all_24_1 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3117) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (3119) ~ (all_18_4 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3118) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (3120) all_24_3 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (3120) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_14_1 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (3121) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (3122) ~ (all_18_13 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3047) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_22_1 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (3123) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) all_18_4 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3124) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_18_4 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (3125) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) ~ (all_18_8 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3125) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) ~ (all_18_12 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3127) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) ~ (all_18_12 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (3125) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) op1(e13, e12) = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_22_7 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3130) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) all_18_13 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (880), (3131) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3132) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) ~ (all_22_7 = e11)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_22_7 = e13 | all_22_7 = e12 | all_22_7 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) all_22_3 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3135) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_18_12 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (3136) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3137) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) ~ (all_22_3 = e11)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) all_24_4 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3140) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_18_8 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3141) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) ~ (all_18_11 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3142) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) ~ (all_18_11 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3141) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) ~ (all_18_12 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3144) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) ~ (all_18_12 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_24_12 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (3146) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) all_18_3 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3147) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_18_3 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (3148) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3149) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) ~ (all_24_12 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_24_13 = e12 | all_24_14 = e12 | all_24_15 =
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_24_4 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3140), (3152) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) e12 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3153) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3154) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) all_24_9 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3156) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_18_12 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3145), (3157) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3158) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) ~ (all_24_9 = e12)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_24_10 = e12 | all_24_11 = e12 | all_24_15 =
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3139) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_22_3 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (3128), (3161) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) ~ (all_22_3 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_22_3 = e12 | all_22_3 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3163) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) all_22_3 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (3145), (3164) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_22_3 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3165) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_18_12 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3166) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_18_12 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3167) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_24_9 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3145), (3167) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) ~ (e12 = e10)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (3167) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) ~ (e11 = e10)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (3167) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) op1(e13, e10) = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_24_2 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (3172) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) all_18_1 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3173) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) ~ (all_18_3 = e10)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3174) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) ~ (all_18_3 = e10)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (3173) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) op1(e12, e13) = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3151) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_24_13 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3070), (3177) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) e12 = e11
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3178) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3179) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_24_14 = e12 | all_24_15 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3155) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_24_5 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3074), (3181) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) e11 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (3182) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3183) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) all_24_8 = e10 | all_24_14 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3044) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) all_22_12 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (3185) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_18_3 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3186) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_18_3 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (3187) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) ~ (all_14_3 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3188) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) ~ (all_14_3 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) all_24_9 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (741), (3168), (3190) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) ~ (all_24_9 = e13)
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3184) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_24_8 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (3193) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) e13 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (3194) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3195) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_24_14 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (3196) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) all_18_11 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3197) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) all_18_11 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3180) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_24_14 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3196), (3199) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) e12 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3200) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) $false
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3201) is inconsistent.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_24_15 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (3202) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_14_3 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3203) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_14_3 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3134) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_22_7 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3205) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_18_13 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3206) implies:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_18_13 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (3207) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) op1(e12, e10) = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) unit1 = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3209) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) op1(e13, e12) = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3209) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) op1(e13, e13) = e13
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3209) imply:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) op1(e12, e13) = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e10, e12, e13, e12,
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3176), (3212) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) e12 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (887), (3040), (3129), (3210), (3211),
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) are inconsistent by sub-proof #23.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) unit1 = e12 | unit1 = e10
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3214) gives:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) unit1 = e12
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (28), (42), (887), (3215) are inconsistent by
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) unit1 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3216) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) op1(e10, e12) = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3216) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) op1(e13, e10) = e13
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3216) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) op1(e12, e10) = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e11, e12, e12, e10,
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3073), (3217) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) e12 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e13, e12, e10, e12,
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3208), (3219) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) e13 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e10, e13, e10, e13,
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3171), (3218) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) e13 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (887), (3220), (3221), (3222) are inconsistent by
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) ~ (all_22_7 = e13)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (3223) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) ~ (all_18_13 = e13)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3192) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) all_24_10 = e13
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (3225) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) all_18_13 = e13
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3224), (3226) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3227) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_24_11 = e13 | all_24_15 = e13
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (878), (884), (3202), (3228) are
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_22_12 = e12 | all_22_12 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (722), (3175), (3229) are inconsistent by
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3230) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_24_3 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3120), (3231) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) e12 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3232) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3233) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_24_5 = e10 | all_24_10 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) all_24_9 = e13
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (741), (3168), (3235) are inconsistent by
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) ~ (all_24_9 = e13)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3160) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_24_10 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (3238) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) all_18_13 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3122), (3239) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3240) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_24_11 = e12 | all_24_15 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3241) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_24_11 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (3242) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) e12 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3243) implies:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) e12 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3244) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3245) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_24_15 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3234) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_24_5 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3074), (3247) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) e11 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (3248) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3249) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) all_24_10 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (741), (878), (884), (3237), (3246), (3250)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #21.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_24_5 = e12 | all_24_8 = e12 | all_24_14 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3251) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_24_5 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3074), (3252) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) e12 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3253) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3254) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_24_8 = e12 | all_24_14 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3255) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_24_8 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (3256) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) e13 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (3257) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3258) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) all_24_14 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (3259) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) all_18_11 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3260) implies:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_18_11 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (3261) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) ~ (all_14_3 = e12)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3262) implies:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) ~ (all_14_3 = e12)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) all_24_9 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3264) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_18_12 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (3265) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) op1(e13, e10) = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3026) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) all_24_12 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (3267) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_18_3 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3268) implies:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_18_3 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3269) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) ~ (all_18_1 = e10)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (3269) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) ~ (e12 = e10)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3269) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) ~ (e11 = e10)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_24_2 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (3273) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_18_1 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3270), (3274) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3275) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3276) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) all_24_3 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3120), (3277) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) e12 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3259), (3278) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) all_24_14 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (723), (725), (3255), (3279) are
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_24_5 = e10 | all_24_10 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3280) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_24_5 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3074), (3281) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) e11 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (3282) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3283) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_24_10 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (3284) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_18_13 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (3285) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) op1(e12, e10) = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) unit1 = e13
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3287) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) op1(e13, e12) = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (3287) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) op1(e13, e10) = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3287) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) op1(e13, e13) = e13
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e12, e10, e10, e13,
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3266), (3289) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) e12 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (887), (3040), (3129), (3288), (3290),
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) are inconsistent by sub-proof #23.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) unit1 = e12 | unit1 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (7), (28), (42), (887), (983), (3073),
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286), (3292) are inconsistent by sub-proof #19.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_24_13 = e10 | all_24_14 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3293) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_24_13 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3070), (3294) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) e11 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3295) implies:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) e11 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (3296) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3297) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) all_24_14 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (723), (725), (3255), (3298) are
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_24_10 = e12 | all_24_11 = e12 | all_24_15 =
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3299) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) all_24_10 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (3122), (3300) are inconsistent by
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) all_24_11 = e12 | all_24_15 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3301) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) all_24_11 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (3302) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) e12 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3303) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3304) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) all_24_15 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (3305) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_14_3 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3306) implies:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) all_14_3 = e12
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3263), (3307) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3308) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) all_22_1 = e12 | all_22_1 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (730), (3119), (3309) are inconsistent by
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | (3310) ~ (all_24_3 = e12)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (641), (644), (729), (730), (731), (3047),
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | (3081), (3119), (3310) are inconsistent by
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #47.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | (3311) all_24_8 = e11 | all_24_14 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3311) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3312) all_24_8 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (3312) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3313) e13 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (3313) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3314) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3314) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3315) all_24_14 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (3315) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3316) all_18_11 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3316) implies:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3317) all_18_11 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3072), (3317) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3318) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3318) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | (3319) ~ (all_22_13 = e11)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | (3320) all_22_13 = e13 | all_22_13 = e12 | all_22_13 =
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (3319) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | (3321) ~ (all_18_7 = e11)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3065) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | (3322) all_24_3 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (3322) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | (3323) all_14_1 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (3323) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | (3324) ~ (all_18_9 = e11)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3061) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3325) all_24_5 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (3325) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3326) all_18_9 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3324), (3326) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3327) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3327) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | (3328) all_24_8 = e11 | all_24_14 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3328) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | (3329) all_24_8 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (3329) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | (3330) e13 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (3330) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | (3331) $false
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3331) is inconsistent.
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | (3332) all_24_14 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (3332) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_18_11 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3333) implies:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | (3334) all_18_11 = e11
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3026) gives:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | (3335) all_24_12 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (3335) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | (3336) all_18_3 = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3336) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | (3337) ~ (all_18_1 = e10)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (3336) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | (3338) ~ (all_14_3 = e10)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3336) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | (3339) ~ (e11 = e10)
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (3336) imply:
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | (3340) op1(e10, e13) = e10
% 86.04/12.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3067) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) all_24_2 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (3341) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_18_1 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (3342) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) ~ (all_18_13 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3343) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) ~ (all_18_13 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (3342) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) op1(e12, e13) = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_24_9 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3346) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_18_12 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (3347) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) ~ (all_14_3 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3348) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) ~ (all_14_3 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (3347) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) op1(e13, e10) = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3032) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) all_22_15 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3349), (3351) are inconsistent by
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_22_15 = e12 | all_22_15 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3352) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_22_15 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (3353) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_14_3 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3354) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) all_14_3 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3355) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) ~ (all_18_7 = e12)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_24_12 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3335), (3357) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) e13 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (3358) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3359) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_24_13 = e13 | all_24_14 = e13 | all_24_15 =
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (8), (28), (29), (42), (202),
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601), (662), (739), (887), (984), (3320), (3340),
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345), (3350), (3356), (3360) are inconsistent by
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_22_15 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (3361) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_14_3 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3362) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_14_3 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3028), (3363) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3364) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3365) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_24_10 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (3366) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) all_18_13 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3344), (3367) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3368) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) all_24_11 = e13 | all_24_15 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3369) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_24_11 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (3370) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) e13 = e11
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (3371) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3372) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_24_15 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (3373) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_14_3 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3374) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_14_3 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3375) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) ~ (all_18_7 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3320) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_22_13 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3377) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) all_18_7 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3376), (3378) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3379) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_22_13 = e12 | all_22_13 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_24_1 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3381) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_18_4 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (3382) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) ~ (all_18_8 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3382) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) ~ (all_18_12 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3384) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) ~ (all_18_12 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (3382) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) op1(e13, e12) = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_22_3 = e11
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (879), (3387) are inconsistent by sub-proof
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #88.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) ~ (all_22_3 = e11)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) all_24_4 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3390) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) all_18_8 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3391) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) all_18_8 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3392) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) ~ (all_18_12 = e10)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3393) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) ~ (all_18_12 = e10)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3389) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) all_22_3 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (3385), (3395) are inconsistent by
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_22_3 = e12 | all_22_3 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3396) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_22_3 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3397) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_18_12 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3398) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) all_18_12 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (3399) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) op1(e13, e10) = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (28), (42), (886), (887),
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984), (3040), (3340), (3386), (3400) are
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_22_3 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (3394), (3401) are inconsistent by
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3402) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) all_24_5 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (3403) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_18_9 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3404) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) all_18_9 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (3405) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) ~ (all_18_8 = e10)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (3405) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) ~ (all_18_13 = e10)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3407) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) ~ (all_18_13 = e10)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_24_2 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3341), (3409) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) e13 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3410) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) e13 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3373), (3411) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_24_15 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (878), (884), (3369), (3412) are
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_24_3 = e12 | all_24_5 = e12 | all_24_10 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) all_24_4 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3414) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_18_8 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3415) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) all_18_8 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3416) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) ~ (all_18_12 = e12)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3417) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) ~ (all_18_12 = e12)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3413) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) all_24_3 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3322), (3419) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) e12 = e11
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3420) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) e12 = e11
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3421) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3422) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) ~ (all_24_3 = e12)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) all_24_5 = e12 | all_24_10 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_24_9 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3425) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) all_18_12 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3418), (3426) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3427) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) all_24_10 = e12 | all_24_11 = e12 | all_24_15 =
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3027) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_24_9 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3429) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) all_18_12 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (3430) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) op1(e13, e10) = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (28), (42), (886), (887), (984),
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040), (3386), (3431) are inconsistent by
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) all_24_10 = e10 | all_24_11 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3428) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_24_10 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (3433) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_18_13 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3434) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) all_18_13 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3432) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) all_24_10 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3433), (3436) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) e12 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3437) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3438) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) all_24_11 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (3439) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) e11 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3440) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) e11 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3332), (3441) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_24_14 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (884), (887), (3328), (3442) are
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) ~ (all_24_10 = e12)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (3443) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) ~ (all_18_13 = e12)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3424) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) all_24_5 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3403), (3445) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) e12 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3446) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3447) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) all_24_10 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (3444), (3448) are inconsistent by
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) ~ (all_24_4 = e12)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (3449) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) ~ (all_18_8 = e12)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3054) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_22_2 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (745), (3451) are inconsistent by sub-proof
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) all_22_2 = e12 | all_22_2 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) all_22_2 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (3453) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) all_18_8 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3454) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) all_18_8 = e12
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3450), (3455) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3456) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) all_22_2 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (3406), (3457) are inconsistent by
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) all_24_8 = e10 | all_24_14 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3458) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) all_24_8 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (3459) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) e13 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3460) implies:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) e13 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3373), (3461) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) all_24_15 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3369) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_24_11 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (3463) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) e13 = e11
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (3464) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3465) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (3461) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) $false
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3466) is inconsistent.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_24_14 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (884), (887), (3328), (3467) are
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) ~ (all_24_1 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3468) imply:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) ~ (all_18_4 = e13)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3047) gives:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_22_1 = e13
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (3469), (3470) are inconsistent by
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_22_1 = e12 | all_22_1 = e10
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (179), (641), (662), (730), (739), (3380), (3471)
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #17.
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) ~ (all_24_2 = e13)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (3472) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) ~ (all_18_1 = e13)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3051) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_22_4 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (642), (3473), (3474) are inconsistent by
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_22_4 = e12 | all_22_4 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (642), (719), (3337), (3475) are inconsistent by
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_24_13 = e10 | all_24_14 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3476) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_24_13 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (3477) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_18_7 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (3478) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) $false
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3479) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_24_14 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (884), (887), (3328), (3480) are
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | (3481) all_24_7 = e11 | all_24_13 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (601), (700), (887), (3321), (3481) are
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #56.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | (3482) all_22_0 = e13 | all_22_0 = e12 | all_22_0 = e10
% 86.04/12.77 | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | BETA: splitting (3482) gives:
% 86.04/12.77 | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | (3483) all_22_0 = e13
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | COMBINE_EQS: (512), (3483) imply:
% 86.04/12.77 | | | | | | | | | | | | | (3484) all_14_0 = e13
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | REDUCE: (987), (3484) imply:
% 86.04/12.77 | | | | | | | | | | | | | (3485) $false
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | CLOSE: (3485) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | (3486) all_22_0 = e12 | all_22_0 = e10
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | BETA: splitting (3486) gives:
% 86.04/12.77 | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | (3487) all_22_0 = e12
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | COMBINE_EQS: (512), (3487) imply:
% 86.04/12.77 | | | | | | | | | | | | | | (3488) all_14_0 = e12
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | REDUCE: (710), (3488) imply:
% 86.04/12.77 | | | | | | | | | | | | | | (3489) $false
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | CLOSE: (3489) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | (3490) all_22_0 = e10
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | COMBINE_EQS: (512), (3490) imply:
% 86.04/12.77 | | | | | | | | | | | | | | (3491) all_14_0 = e10
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | COMBINE_EQS: (701), (3491) imply:
% 86.04/12.77 | | | | | | | | | | | | | | (3492) all_24_0 = e10
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | REDUCE: (709), (3491) imply:
% 86.04/12.77 | | | | | | | | | | | | | | (3493) ~ (all_18_1 = e10)
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | REDUCE: (712), (3491) imply:
% 86.04/12.77 | | | | | | | | | | | | | | (3494) ~ (all_18_3 = e10)
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | REDUCE: (710), (3491) imply:
% 86.04/12.77 | | | | | | | | | | | | | | (3495) ~ (e12 = e10)
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | REDUCE: (86), (3491) imply:
% 86.04/12.77 | | | | | | | | | | | | | | (3496) op1(e13, e13) = e10
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | BETA: splitting (3026) gives:
% 86.04/12.77 | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | (3497) all_24_12 = e10
% 86.04/12.77 | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | REF_CLOSE: (600), (3494), (3497) are inconsistent by
% 86.04/12.77 | | | | | | | | | | | | | | | sub-proof #74.
% 86.04/12.77 | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | (3498) all_24_13 = e10 | all_24_14 = e10
% 86.04/12.77 | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | BETA: splitting (3498) gives:
% 86.04/12.77 | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | (3499) all_24_13 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (3499) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | (3500) all_18_7 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | REDUCE: (739), (3500) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | (3501) $false
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | CLOSE: (3501) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | (3502) all_24_14 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (3502) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | (3503) all_18_11 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | SIMP: (3503) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | (3504) all_18_11 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | REDUCE: (165), (3504) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | (3505) ~ (all_18_8 = e10)
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | REDUCE: (162), (3504) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | (3506) ~ (all_18_9 = e10)
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | (3507) all_24_2 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (3507) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | (3508) all_18_1 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | SIMP: (3508) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | (3509) all_18_1 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | REDUCE: (3493), (3509) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | (3510) $false
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | CLOSE: (3510) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | (3511) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | BETA: splitting (3511) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | (3512) all_24_3 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (3512) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | (3513) all_14_1 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | SIMP: (3513) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | (3514) all_14_1 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | REDUCE: (731), (3514) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | (3515) $false
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | CLOSE: (3515) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | (3516) all_24_5 = e10 | all_24_10 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | BETA: splitting (3516) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3517) all_24_5 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (3506), (3517) are inconsistent by
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3518) all_24_10 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (3518) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3519) all_18_13 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | SIMP: (3519) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3520) all_18_13 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | REDUCE: (157), (3520) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3521) ~ (all_18_12 = e10)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | REDUCE: (737), (3520) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3522) ~ (all_14_1 = e10)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | REDUCE: (753), (3520) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3523) ~ (all_14_3 = e10)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | REDUCE: (880), (3520) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3524) ~ (e11 = e10)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | REDUCE: (208), (3520) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | (3525) op1(e12, e10) = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | (3526) all_22_2 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (3526) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | (3527) all_18_8 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | SIMP: (3527) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | (3528) all_18_8 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3528) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | (3529) all_24_4 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (3528) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | (3530) ~ (all_18_4 = e11)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3528) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | (3531) ~ (all_18_12 = e11)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | (3532) all_24_4 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3529), (3532) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | (3533) e12 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | SIMP: (3533) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | (3534) e12 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3534) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | (3535) $false
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3535) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | (3536) all_24_5 = e12 | all_24_8 = e12 | all_24_14 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3536) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | (3537) all_24_5 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (3537) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | (3538) all_18_9 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (3538) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | (3539) ~ (all_14_1 = e12)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3539) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | (3540) ~ (all_14_1 = e12)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | (3541) all_22_12 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (3541) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | (3542) all_18_3 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (3542) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | (3543) all_24_12 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3542) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | (3544) ~ (all_18_1 = e11)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (3542) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | (3545) ~ (all_18_7 = e11)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3545) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | (3546) ~ (all_18_7 = e11)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (3542) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | (3547) op1(e10, e13) = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | (3548) all_22_4 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3548) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | (3549) all_18_1 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3544), (3549) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | (3550) $false
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3550) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | (3551) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3551) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3552) all_22_4 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3552) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_18_1 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (3553) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3554) ~ (all_14_1 = e13)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3554) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3555) ~ (all_14_1 = e13)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (3553) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3556) op1(e12, e13) = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_22_5 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (3557) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) all_14_1 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3558) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) all_14_1 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (3559) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) op1(e12, e12) = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) all_22_13 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (3546), (3561) are inconsistent by
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) ~ (all_22_13 = e11)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) all_22_13 = e13 | all_22_13 = e12 | all_22_13 =
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) all_22_1 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (3530), (3564) are inconsistent by
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) ~ (all_22_1 = e11)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) all_24_9 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3567) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) all_18_12 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3568) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_18_12 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3569) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) ~ (all_18_4 = e12)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (3569) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) op1(e13, e10) = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) all_24_12 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3543), (3572) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) e12 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3573) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) $false
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3574) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) all_24_13 = e12 | all_24_14 = e12 | all_24_15 =
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3575) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) all_24_13 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (3576) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_18_7 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3577) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) all_18_7 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3578) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) ~ (all_14_3 = e12)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3579) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) ~ (all_14_3 = e12)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (3578) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) op1(e10, e12) = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3032) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) all_22_15 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (3582) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) all_14_3 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (3583) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) op1(e10, e10) = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) unit1 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (29), (42), (887), (3496), (3556),
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) are inconsistent by sub-proof #15.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) unit1 = e12 | unit1 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3586) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) unit1 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3587) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) op1(e12, e12) = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (3587) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) op1(e10, e12) = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e12, e10, e12, e10,
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3581), (3589) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) e12 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e11, e12, e12, e12,
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3560), (3588) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) e12 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3590), (3591) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) e11 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (3592) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) $false
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3593) is inconsistent.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) unit1 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3594) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) op1(e10, e13) = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3594) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) op1(e13, e10) = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (3594) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) op1(e10, e10) = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e13, e10, e10, e10,
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3584), (3597) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) e13 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e11, e13, e13, e10,
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3547), (3595) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) e13 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e12, e13, e10, e13,
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3571), (3596) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) e13 = e12
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3598), (3600) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) e12 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3599), (3600) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) e12 = e11
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (887), (3601), (3602) are inconsistent by
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) all_22_15 = e12 | all_22_15 = e10
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3028), (3580), (3603) are inconsistent by
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) ~ (all_24_13 = e12)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (3604) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) ~ (all_18_7 = e12)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3566) gives:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) all_22_1 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (3606) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) all_18_4 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3607) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) all_18_4 = e13
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (3608) imply:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) ~ (all_18_7 = e13)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3609) implies:
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) ~ (all_18_7 = e13)
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (739), (3563), (3605), (3610) are
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) all_22_1 = e12 | all_22_1 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (730), (3570), (3611) are inconsistent by
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) all_24_10 = e12 | all_24_11 = e12 | all_24_15 =
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3612) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) all_24_10 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3518), (3613) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) e12 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3614) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3615) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) all_24_11 = e12 | all_24_15 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3616) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) all_24_11 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (3617) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) e12 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3618) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3619) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) all_24_15 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (3620) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) all_14_3 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3621) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) all_14_3 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3622) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) ~ (all_18_7 = e12)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) all_24_12 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3543), (3624) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) e13 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (3625) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3626) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) all_24_13 = e13 | all_24_14 = e13 | all_24_15 =
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3627) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) all_24_13 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (3628) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) all_18_7 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3629) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) all_18_7 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (3630) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) op1(e10, e12) = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) all_24_1 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3632) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) all_18_4 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (3633) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) op1(e13, e12) = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) unit1 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (29), (42), (887), (3496), (3556),
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) are inconsistent by sub-proof #15.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) unit1 = e12 | unit1 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3636) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) unit1 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3637) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) op1(e13, e12) = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3637) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) op1(e12, e12) = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (3637) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) op1(e10, e12) = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e13, e10, e12, e10,
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3631), (3640) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) e13 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e11, e12, e12, e12,
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3560), (3639) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) e12 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e12, e13, e12, e13,
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3634), (3638) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) e13 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (887), (3641), (3642), (3643) are inconsistent by
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) unit1 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3644) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) op1(e10, e13) = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3644) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) op1(e10, e12) = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3644) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) op1(e12, e10) = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (887), (3525), (3547), (3631), (3645),
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646), (3647) are inconsistent by sub-proof #14.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) ~ (all_24_1 = e12)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3648) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) ~ (all_18_4 = e12)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_24_9 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3650) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_18_12 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3651) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_18_12 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3652) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) ~ (all_18_4 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (641), (730), (3530), (3649), (3653) are
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (741), (878), (884), (3518), (3620), (3654)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #21.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) all_24_14 = e13 | all_24_15 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3655) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_24_14 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3502), (3656) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) e13 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (3657) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3658) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_24_15 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3620), (3659) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) e13 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (3660) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3661) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) ~ (all_22_5 = e11)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (644), (3662) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) ~ (all_14_1 = e11)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_24_1 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3664) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) all_18_4 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3530), (3665) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3666) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (601), (700), (887), (3546), (3663), (3667)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #55.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_22_4 = e12 | all_22_4 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (642), (719), (3493), (3668) are inconsistent by
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | (3669) all_22_12 = e13 | all_22_12 = e12 | all_22_12 =
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3669) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | (3670) all_22_12 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (3670) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_18_3 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3671) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | (3672) ~ (all_18_1 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (3671) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | (3673) ~ (all_18_7 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3673) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | (3674) ~ (all_18_7 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (3671) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | (3675) ~ (all_14_3 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3675) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | (3676) ~ (all_14_3 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_22_4 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3677) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_18_1 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (3678) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3679) op1(e12, e13) = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_24_9 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3680) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_18_12 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3681) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) ~ (all_18_4 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) all_22_1 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (3530), (3683) are inconsistent by
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3684) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_22_1 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (3682), (3685) are inconsistent by
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_22_1 = e12 | all_22_1 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3686) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_22_1 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (3687) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_18_4 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3688) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) all_18_4 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (3689) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) ~ (all_18_7 = e12)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3690) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) ~ (all_18_7 = e12)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_22_13 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3692) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_18_7 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3693) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) all_18_7 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (3694) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) op1(e10, e12) = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) unit1 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3696) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) op1(e12, e13) = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e11, e12, e13, e12,
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3679), (3697) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) e12 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3698) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3699) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) unit1 = e12 | unit1 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (7), (28), (42), (887), (983), (3525),
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695), (3700) are inconsistent by sub-proof #19.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) all_22_13 = e13 | all_22_13 = e12 | all_22_13 =
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (739), (3674), (3691), (3701) are
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) all_22_1 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (730), (3702) are inconsistent by sub-proof
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) ~ (all_24_9 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (3703) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) ~ (all_18_12 = e13)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) all_22_3 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (879), (3705) are inconsistent by sub-proof
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | #88.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_22_3 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3707) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) all_18_12 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3704), (3708) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3709) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) all_22_3 = e12 | all_22_3 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3032) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_22_15 = e13
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3676), (3711) are inconsistent by
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_22_15 = e12 | all_22_15 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3710) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_22_3 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3713) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_18_12 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (3714) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) ~ (all_14_3 = e12)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3715) implies:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) ~ (all_14_3 = e12)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3028), (3712), (3716) are inconsistent by
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_22_3 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3717) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_18_12 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3521), (3718) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3719) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (642), (719), (3493), (3672), (3720) are
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_22_12 = e12 | all_22_12 = e10
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (722), (3494), (3721) are inconsistent by
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | (3722) all_24_8 = e12 | all_24_14 = e12
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (723), (725), (3502), (3722) are
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | (3723) ~ (all_22_2 = e11)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (645), (3723) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | (3724) ~ (all_18_8 = e11)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | (3725) all_24_4 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3725) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | (3726) all_18_8 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3724), (3726) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | (3727) $false
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3727) is inconsistent.
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | (3728) all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3728) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | (3729) all_24_5 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (3729) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | (3730) all_18_9 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (3730) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | (3731) ~ (all_18_1 = e11)
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | (3732) all_22_4 = e11
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3732) imply:
% 86.04/12.78 | | | | | | | | | | | | | | | | | | | | | | | (3733) all_18_1 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3733) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | (3734) all_18_1 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3731), (3734) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | (3735) $false
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3735) is inconsistent.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | (3736) ~ (all_22_4 = e11)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | (3737) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_24_4 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3738) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_18_8 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (3739) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | (3740) ~ (all_18_4 = e12)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3739) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | (3741) ~ (all_18_12 = e12)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3741) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | (3742) ~ (all_18_12 = e12)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_22_3 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3743) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_18_12 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (3744) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3745) $false
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3745) is inconsistent.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3746) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) all_24_0 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (887), (3492), (3747) are inconsistent by
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) ~ (all_24_0 = e11)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_24_0 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (887), (3492), (3750) are inconsistent by
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_24_9 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3752) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) all_18_12 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3742), (3753) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) $false
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3754) is inconsistent.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_24_10 = e12 | all_24_11 = e12 | all_24_15 =
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3755) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) all_24_10 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3518), (3756) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) e12 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3757) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) e12 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3758) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) $false
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3759) is inconsistent.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) all_24_11 = e12 | all_24_15 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3751) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_24_2 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (3761) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_18_1 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3731), (3762) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) $false
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3763) is inconsistent.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_24_6 = e11 | all_24_12 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3737) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_22_4 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3765) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_18_1 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3766) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_18_1 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3767) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) ~ (all_18_3 = e13)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3768) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) ~ (all_18_3 = e13)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (3767) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) op1(e12, e13) = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) all_22_12 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (3771) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_18_3 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (3772) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) op1(e10, e13) = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3746) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_22_3 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3774) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) all_18_12 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3775) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) all_18_12 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3776) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) ~ (all_18_4 = e13)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (3776) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) ~ (all_14_3 = e13)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3778) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) ~ (all_14_3 = e13)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3749) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_24_1 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3780) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_18_4 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (3781) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) ~ (all_18_7 = e11)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3782) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) ~ (all_18_7 = e11)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (3781) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) op1(e13, e12) = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) all_22_13 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (3783), (3785) are inconsistent by
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_22_13 = e13 | all_22_13 = e12 | all_22_13 =
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3032) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) all_22_15 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3779), (3787) are inconsistent by
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_22_15 = e12 | all_22_15 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3786) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_22_13 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3789) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_18_7 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3790) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_18_7 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (3791) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) op1(e10, e12) = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) unit1 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (29), (42), (887), (3496), (3770),
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) are inconsistent by sub-proof #15.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) unit1 = e12 | unit1 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3794) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) unit1 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3795) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) op1(e13, e12) = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (3795) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) op1(e10, e12) = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e13, e10, e12, e10,
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3792), (3797) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) e13 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e11, e13, e12, e13,
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3784), (3796) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) e13 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3798), (3799) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) e11 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (3800) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) $false
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3801) is inconsistent.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) unit1 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3802) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) op1(e10, e13) = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3802) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) op1(e10, e12) = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3802) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) op1(e12, e10) = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (887), (3525), (3773), (3792), (3803),
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804), (3805) are inconsistent by sub-proof #14.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_22_13 = e12 | all_22_13 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3806) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_22_13 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3807) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_18_7 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3808) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_18_7 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3809) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) ~ (all_14_3 = e12)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3810) implies:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) ~ (all_14_3 = e12)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3028), (3788), (3811) are inconsistent by
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_22_13 = e10
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (739), (3812) are inconsistent by sub-proof
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #46.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) ~ (all_24_1 = e11)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3813) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) ~ (all_18_4 = e11)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (641), (730), (3740), (3777), (3814) are
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) ~ (all_22_3 = e13)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (655), (3815) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) ~ (all_18_12 = e13)
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_24_9 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3817) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_18_12 = e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3816), (3818) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) $false
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3819) is inconsistent.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3760) gives:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) all_24_11 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (3821) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) e12 = e11
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (3822) imply:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) $false
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3823) is inconsistent.
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) all_24_15 = e12
% 86.04/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (741), (878), (884), (3518), (3820), (3824)
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #21.
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) ~ (all_22_12 = e11)
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (3825) imply:
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) ~ (all_18_3 = e11)
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (886), (3764), (3826) are
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) all_22_4 = e12 | all_22_4 = e10
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (642), (719), (3493), (3827) are inconsistent by
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_24_5 = e12 | all_24_8 = e12 | all_24_14 = e12
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3828) gives:
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_24_5 = e12
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (886), (3729), (3829) are inconsistent by
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_24_8 = e12 | all_24_14 = e12
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (723), (725), (3502), (3830) are
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | (3831) all_24_8 = e11 | all_24_14 = e11
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (884), (887), (3502), (3831) are
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | End of split
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | Case 2:
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | | (3832) all_14_0 = e13
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | | COMBINE_EQS: (701), (3832) imply:
% 86.34/12.79 | | | | | | | | | (3833) all_24_0 = e13
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | | REDUCE: (709), (3832) imply:
% 86.34/12.79 | | | | | | | | | (3834) ~ (all_18_1 = e13)
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | | REDUCE: (712), (3832) imply:
% 86.34/12.79 | | | | | | | | | (3835) ~ (all_18_3 = e13)
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | | REDUCE: (714), (3832) imply:
% 86.34/12.79 | | | | | | | | | (3836) ~ (all_18_4 = e13)
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | | REDUCE: (718), (3832) imply:
% 86.34/12.79 | | | | | | | | | (3837) ~ (all_18_12 = e13)
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | | BETA: splitting (293) gives:
% 86.34/12.79 | | | | | | | | |
% 86.34/12.79 | | | | | | | | | Case 1:
% 86.34/12.79 | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | (3838) all_24_15 = e10
% 86.34/12.79 | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | COMBINE_EQS: (606), (3838) imply:
% 86.34/12.79 | | | | | | | | | | (3839) all_14_3 = e10
% 86.34/12.79 | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | SIMP: (3839) implies:
% 86.34/12.79 | | | | | | | | | | (3840) all_14_3 = e10
% 86.34/12.79 | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | REDUCE: (728), (3840) imply:
% 86.34/12.79 | | | | | | | | | | (3841) ~ (all_18_3 = e10)
% 86.34/12.79 | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | BETA: splitting (266) gives:
% 86.34/12.79 | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | Case 1:
% 86.34/12.79 | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | (3842) all_22_12 = e11
% 86.34/12.79 | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | COMBINE_EQS: (661), (3842) imply:
% 86.34/12.79 | | | | | | | | | | | (3843) all_18_3 = e11
% 86.34/12.79 | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | COMBINE_EQS: (600), (3843) imply:
% 86.34/12.79 | | | | | | | | | | | (3844) all_24_12 = e11
% 86.34/12.79 | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | REDUCE: (192), (3843) imply:
% 86.34/12.79 | | | | | | | | | | | (3845) ~ (all_18_1 = e11)
% 86.34/12.79 | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | REDUCE: (203), (3843) imply:
% 86.34/12.79 | | | | | | | | | | | (3846) op1(e10, e13) = e11
% 86.34/12.79 | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | BETA: splitting (307) gives:
% 86.34/12.79 | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | Case 1:
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | (3847) all_24_0 = e10
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | COMBINE_EQS: (3833), (3847) imply:
% 86.34/12.79 | | | | | | | | | | | | (3848) e13 = e10
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | SIMP: (3848) implies:
% 86.34/12.79 | | | | | | | | | | | | (3849) e13 = e10
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | REDUCE: (741), (3849) imply:
% 86.34/12.79 | | | | | | | | | | | | (3850) $false
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | CLOSE: (3850) is inconsistent.
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | Case 2:
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | (3851) all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | BETA: splitting (296) gives:
% 86.34/12.79 | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | Case 1:
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | (3852) all_24_12 = e13
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | COMBINE_EQS: (3844), (3852) imply:
% 86.34/12.79 | | | | | | | | | | | | | (3853) e13 = e11
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | REDUCE: (884), (3853) imply:
% 86.34/12.79 | | | | | | | | | | | | | (3854) $false
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | CLOSE: (3854) is inconsistent.
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | Case 2:
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | (3855) all_24_13 = e13 | all_24_14 = e13 | all_24_15 =
% 86.34/12.79 | | | | | | | | | | | | | e13
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | BETA: splitting (3851) gives:
% 86.34/12.79 | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | Case 1:
% 86.34/12.79 | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | (3856) all_24_2 = e10
% 86.34/12.79 | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | COMBINE_EQS: (584), (3856) imply:
% 86.34/12.79 | | | | | | | | | | | | | | (3857) all_18_1 = e10
% 86.34/12.79 | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | SIMP: (3857) implies:
% 86.34/12.79 | | | | | | | | | | | | | | (3858) all_18_1 = e10
% 86.34/12.79 | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | REDUCE: (3845), (3858) imply:
% 86.34/12.79 | | | | | | | | | | | | | | (3859) ~ (e11 = e10)
% 86.34/12.79 | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | REDUCE: (211), (3858) imply:
% 86.34/12.79 | | | | | | | | | | | | | | (3860) op1(e12, e13) = e10
% 86.34/12.79 | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | BETA: splitting (3855) gives:
% 86.34/12.79 | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | Case 1:
% 86.34/12.79 | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | (3861) all_24_13 = e13
% 86.34/12.79 | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | COMBINE_EQS: (601), (3861) imply:
% 86.34/12.79 | | | | | | | | | | | | | | | (3862) all_18_7 = e13
% 86.34/12.79 | | | | | | | | | | | | | | |
% 86.34/12.79 | | | | | | | | | | | | | | | SIMP: (3862) implies:
% 86.34/12.79 | | | | | | | | | | | | | | | (3863) all_18_7 = e13
% 86.34/12.79 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (7), (8), (28), (29), (42), (202),
% 86.34/12.80 | | | | | | | | | | | | | | | (886), (887), (984), (3846), (3860), (3863) are
% 86.34/12.80 | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | (3864) all_24_14 = e13 | all_24_15 = e13
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | REF_CLOSE: (604), (741), (748), (3838), (3864) are
% 86.34/12.80 | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | (3865) all_24_6 = e10 | all_24_12 = e10
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (723), (3841), (3865) are
% 86.34/12.80 | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | (3866) all_22_12 = e13 | all_22_12 = e12 | all_22_12 =
% 86.34/12.80 | | | | | | | | | | | e10
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | BETA: splitting (3866) gives:
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | (3867) all_22_12 = e13
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | COMBINE_EQS: (661), (3867) imply:
% 86.34/12.80 | | | | | | | | | | | | (3868) all_18_3 = e13
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | SIMP: (3868) implies:
% 86.34/12.80 | | | | | | | | | | | | (3869) all_18_3 = e13
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | REDUCE: (3835), (3869) imply:
% 86.34/12.80 | | | | | | | | | | | | (3870) $false
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | CLOSE: (3870) is inconsistent.
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | (3871) all_22_12 = e12 | all_22_12 = e10
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | REF_CLOSE: (661), (722), (3841), (3871) are inconsistent by
% 86.34/12.80 | | | | | | | | | | | | sub-proof #53.
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | (3872) (all_24_9 = e10 | all_24_10 = e10 | all_24_11 =
% 86.34/12.80 | | | | | | | | | | e10) & (all_24_12 = e10 | all_24_13 = e10 |
% 86.34/12.80 | | | | | | | | | | all_24_14 = e10)
% 86.34/12.80 | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | ALPHA: (3872) implies:
% 86.34/12.80 | | | | | | | | | | (3873) all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10
% 86.34/12.80 | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | BETA: splitting (271) gives:
% 86.34/12.80 | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | (3874) all_22_4 = e11
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | COMBINE_EQS: (642), (3874) imply:
% 86.34/12.80 | | | | | | | | | | | (3875) all_18_1 = e11
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | SIMP: (3875) implies:
% 86.34/12.80 | | | | | | | | | | | (3876) all_18_1 = e11
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | COMBINE_EQS: (584), (3876) imply:
% 86.34/12.80 | | | | | | | | | | | (3877) all_24_2 = e11
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | REDUCE: (192), (3876) imply:
% 86.34/12.80 | | | | | | | | | | | (3878) ~ (all_18_3 = e11)
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | SIMP: (3878) implies:
% 86.34/12.80 | | | | | | | | | | | (3879) ~ (all_18_3 = e11)
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | REDUCE: (190), (3876) imply:
% 86.34/12.80 | | | | | | | | | | | (3880) ~ (all_18_9 = e11)
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | SIMP: (3880) implies:
% 86.34/12.80 | | | | | | | | | | | (3881) ~ (all_18_9 = e11)
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | REDUCE: (720), (3876) imply:
% 86.34/12.80 | | | | | | | | | | | (3882) ~ (all_14_1 = e11)
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | SIMP: (3882) implies:
% 86.34/12.80 | | | | | | | | | | | (3883) ~ (all_14_1 = e11)
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | REDUCE: (211), (3876) imply:
% 86.34/12.80 | | | | | | | | | | | (3884) op1(e12, e13) = e11
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | BETA: splitting (307) gives:
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | (3885) all_24_0 = e10
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | COMBINE_EQS: (3833), (3885) imply:
% 86.34/12.80 | | | | | | | | | | | | (3886) e13 = e10
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | REDUCE: (741), (3886) imply:
% 86.34/12.80 | | | | | | | | | | | | (3887) $false
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | CLOSE: (3887) is inconsistent.
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | (3888) all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | BETA: splitting (3888) gives:
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | (3889) all_24_2 = e10
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | BETA: splitting (308) gives:
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | (3890) all_24_0 = e11
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | REF_CLOSE: (884), (3833), (3890) are inconsistent by
% 86.34/12.80 | | | | | | | | | | | | | | sub-proof #30.
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | (3891) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (886), (887), (3879), (3889), (3891)
% 86.34/12.80 | | | | | | | | | | | | | | are inconsistent by sub-proof #37.
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | (3892) all_24_6 = e10 | all_24_12 = e10
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | BETA: splitting (3892) gives:
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | (3893) all_24_6 = e10
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | COMBINE_EQS: (487), (3893) imply:
% 86.34/12.80 | | | | | | | | | | | | | | (3894) e12 = e10
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | REDUCE: (723), (3894) imply:
% 86.34/12.80 | | | | | | | | | | | | | | (3895) $false
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | CLOSE: (3895) is inconsistent.
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | (3896) all_24_12 = e10
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | COMBINE_EQS: (600), (3896) imply:
% 86.34/12.80 | | | | | | | | | | | | | | (3897) all_18_3 = e10
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | REDUCE: (183), (3897) imply:
% 86.34/12.80 | | | | | | | | | | | | | | (3898) ~ (all_18_11 = e10)
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | SIMP: (3898) implies:
% 86.34/12.80 | | | | | | | | | | | | | | (3899) ~ (all_18_11 = e10)
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | REDUCE: (3879), (3897) imply:
% 86.34/12.80 | | | | | | | | | | | | | | (3900) ~ (e11 = e10)
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | (3901) all_22_3 = e11
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | REF_CLOSE: (655), (879), (3901) are inconsistent by sub-proof
% 86.34/12.80 | | | | | | | | | | | | | | | #88.
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | (3902) all_22_3 = e13 | all_22_3 = e12 | all_22_3 = e10
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | (3903) all_24_12 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | COMBINE_EQS: (3896), (3903) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | (3904) e11 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | SIMP: (3904) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | | (3905) e11 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | COMBINE_EQS: (3877), (3905) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | (3906) all_24_2 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3907) all_24_0 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (884), (3833), (3907) are inconsistent by
% 86.34/12.80 | | | | | | | | | | | | | | | | | sub-proof #30.
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3908) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (886), (887), (3879), (3906), (3908)
% 86.34/12.80 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #37.
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | (3909) ~ (all_24_12 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | | (3910) all_24_13 = e11 | all_24_14 = e11 | all_24_15 =
% 86.34/12.80 | | | | | | | | | | | | | | | | e11
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | BETA: splitting (3910) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3911) all_24_13 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (3911) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3912) all_18_7 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | SIMP: (3912) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3913) all_18_7 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (7), (28), (42), (202), (739), (886),
% 86.34/12.80 | | | | | | | | | | | | | | | | | (984), (3884), (3913) are inconsistent by
% 86.34/12.80 | | | | | | | | | | | | | | | | | sub-proof #35.
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3914) ~ (all_24_13 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | REDUCE: (601), (3914) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3915) ~ (all_18_7 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3916) all_24_1 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3916) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3917) all_18_4 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | REDUCE: (178), (3917) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3918) ~ (all_18_8 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | SIMP: (3918) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3919) ~ (all_18_8 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | REDUCE: (177), (3917) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3920) ~ (all_18_12 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | REDUCE: (214), (3917) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3921) op1(e13, e12) = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3922) all_24_4 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3922) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3923) all_18_8 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3923) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3924) ~ (all_18_12 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | SIMP: (3924) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3925) ~ (all_18_12 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (3902) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3926) all_22_3 = e13
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3926) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3927) all_18_12 = e13
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (3837), (3927) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3928) $false
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | CLOSE: (3928) is inconsistent.
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3929) ~ (all_22_3 = e13)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3930) all_22_3 = e12 | all_22_3 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3931) all_24_9 = e12
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3931) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3932) all_18_12 = e12
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (3932) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3933) op1(e13, e10) = e12
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | | (3934) unit1 = e13
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (42), (886), (3884), (3934) are inconsistent
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #36.
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | | (3935) unit1 = e12 | unit1 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (28), (42), (725), (887), (3933), (3935)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #82.
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3936) ~ (all_24_9 = e12)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (3936) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3937) ~ (all_18_12 = e12)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (3925), (3930), (3937) are inconsistent by
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3938) all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (3938) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3939) all_24_5 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (3939) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3940) all_18_9 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (3940) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3941) ~ (all_18_13 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | SIMP: (3941) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3942) ~ (all_18_13 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3873) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3943) all_24_9 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3943) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3944) all_18_12 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (3944) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3945) op1(e13, e10) = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (28), (42), (886), (887), (984),
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3921), (3945) are inconsistent by sub-proof #12.
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3946) all_24_10 = e10 | all_24_11 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (878), (887), (3942), (3946) are
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3947) all_24_8 = e10 | all_24_14 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (604), (741), (3899), (3947) are
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3948) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (601), (700), (887), (3883), (3915), (3948)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #55.
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | End of split
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | (3949) ~ (all_22_4 = e11)
% 86.34/12.80 | | | | | | | | | | | (3950) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e10
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | REDUCE: (642), (3949) imply:
% 86.34/12.80 | | | | | | | | | | | (3951) ~ (all_18_1 = e11)
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | BETA: splitting (3950) gives:
% 86.34/12.80 | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | (3952) all_22_4 = e13
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | REF_CLOSE: (642), (3834), (3952) are inconsistent by
% 86.34/12.80 | | | | | | | | | | | | sub-proof #60.
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | (3953) all_22_4 = e12 | all_22_4 = e10
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | BETA: splitting (308) gives:
% 86.34/12.80 | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | (3954) all_24_0 = e11
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | COMBINE_EQS: (3833), (3954) imply:
% 86.34/12.80 | | | | | | | | | | | | | (3955) e13 = e11
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | REDUCE: (884), (3955) imply:
% 86.34/12.80 | | | | | | | | | | | | | (3956) $false
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | CLOSE: (3956) is inconsistent.
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | (3957) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | BETA: splitting (3957) gives:
% 86.34/12.80 | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | (3958) all_24_2 = e11
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | COMBINE_EQS: (584), (3958) imply:
% 86.34/12.80 | | | | | | | | | | | | | | (3959) all_18_1 = e11
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | REDUCE: (3951), (3959) imply:
% 86.34/12.80 | | | | | | | | | | | | | | (3960) $false
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | CLOSE: (3960) is inconsistent.
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | (3961) all_24_6 = e11 | all_24_12 = e11
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | BETA: splitting (3953) gives:
% 86.34/12.80 | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | (3962) all_22_4 = e12
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | REF_CLOSE: (642), (719), (3962) are inconsistent by sub-proof
% 86.34/12.80 | | | | | | | | | | | | | | | #59.
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | (3963) all_22_4 = e10
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3963) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | (3964) all_18_1 = e10
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | SIMP: (3964) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | (3965) all_18_1 = e10
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | REDUCE: (192), (3965) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | (3966) ~ (all_18_3 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | SIMP: (3966) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | (3967) ~ (all_18_3 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | REDUCE: (189), (3965) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | (3968) ~ (all_18_13 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | SIMP: (3968) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | (3969) ~ (all_18_13 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | REDUCE: (720), (3965) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | (3970) ~ (all_14_1 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | REDUCE: (211), (3965) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | (3971) op1(e12, e13) = e10
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 86.34/12.80 | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | (3972) all_22_12 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (3972) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | (3973) all_18_3 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | SIMP: (3973) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | | (3974) all_18_3 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | REDUCE: (184), (3974) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | (3975) ~ (all_18_7 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | SIMP: (3975) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | | (3976) ~ (all_18_7 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | REDUCE: (203), (3974) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | (3977) op1(e10, e13) = e11
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | BETA: splitting (3873) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3978) all_24_9 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3978) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3979) all_18_12 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | REDUCE: (879), (3979) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3980) ~ (e11 = e10)
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | REDUCE: (212), (3979) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | (3981) op1(e13, e10) = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3982) all_22_1 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (3982) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3983) all_18_4 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | SIMP: (3983) implies:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3984) all_18_4 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | REDUCE: (214), (3984) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3985) op1(e13, e12) = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (28), (42), (886), (887), (984),
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3981), (3985) are inconsistent by sub-proof #12.
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3986) ~ (all_22_1 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3987) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | REDUCE: (641), (3986) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | (3988) ~ (all_18_4 = e11)
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3989) all_24_1 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3989) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3990) all_18_4 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | REDUCE: (3988), (3990) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3991) $false
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | CLOSE: (3991) is inconsistent.
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | (3992) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (3992) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3993) all_24_3 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (3993) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | (3994) all_14_1 = e11
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3995) all_24_1 = e13
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (3995) imply:
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | (3996) all_18_4 = e13
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3836), (3996) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (3997) $false
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3997) is inconsistent.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (3998) ~ (all_24_1 = e13)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (3999) all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3987) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4000) all_22_1 = e13
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (3836), (4000) are inconsistent by
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4001) all_22_1 = e12 | all_22_1 = e10
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3999) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4002) all_24_3 = e13
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3993), (4002) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4003) e13 = e11
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4003) implies:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4004) e13 = e11
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (4004) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4005) $false
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4005) is inconsistent.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4006) ~ (all_24_3 = e13)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4007) all_24_7 = e13 | all_24_13 = e13
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4008) all_22_13 = e11
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (4008) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4009) all_18_7 = e11
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4009) implies:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4010) all_18_7 = e11
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (4010) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4011) all_24_13 = e11
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (700), (741), (884), (4007), (4011) are
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4012) all_22_13 = e13 | all_22_13 = e12 | all_22_13 =
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | e10
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4012) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (4013) all_22_13 = e13
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (4013) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (4014) all_18_7 = e13
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (7), (8), (28), (29), (42), (202),
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (886), (887), (984), (3971), (3977), (4014) are
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (4015) all_22_13 = e12 | all_22_13 = e10
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (179), (641), (662), (730), (739), (4001), (4015)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #17.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | (4016) all_24_7 = e11 | all_24_13 = e11
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (601), (700), (887), (3976), (4016) are
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #56.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | (4017) all_24_10 = e10 | all_24_11 = e10
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (878), (887), (3969), (4017) are
% 86.34/12.81 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | (4018) ~ (all_22_12 = e11)
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | REDUCE: (661), (4018) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | (4019) ~ (all_18_3 = e11)
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | REF_CLOSE: (487), (600), (886), (3961), (4019) are
% 86.34/12.81 | | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | End of split
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | (4020) all_12_0 = e23
% 86.34/12.81 | | | | | | | | (4021) ~ (all_12_1 = e23) | ~ (all_12_2 = e23) | ~
% 86.34/12.81 | | | | | | | | (all_12_3 = e23)
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | COMBINE_EQS: (690), (4020) imply:
% 86.34/12.81 | | | | | | | | (4022) all_8_1 = e23
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | COMBINE_EQS: (558), (4022) imply:
% 86.34/12.81 | | | | | | | | (4023) all_26_0 = e23
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | REDUCE: (756), (4022) imply:
% 86.34/12.81 | | | | | | | | (4024) ~ (all_16_1 = e23)
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | REDUCE: (759), (4022) imply:
% 86.34/12.81 | | | | | | | | (4025) ~ (all_16_3 = e23)
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | REDUCE: (761), (4022) imply:
% 86.34/12.81 | | | | | | | | (4026) ~ (all_16_4 = e23)
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | REDUCE: (765), (4022) imply:
% 86.34/12.81 | | | | | | | | (4027) ~ (all_16_12 = e23)
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | BETA: splitting (244) gives:
% 86.34/12.81 | | | | | | | |
% 86.34/12.81 | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | (4028) all_20_1 = e21
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | COMBINE_EQS: (610), (4028) imply:
% 86.34/12.81 | | | | | | | | | (4029) all_16_4 = e21
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | SIMP: (4029) implies:
% 86.34/12.81 | | | | | | | | | (4030) all_16_4 = e21
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | COMBINE_EQS: (554), (4030) imply:
% 86.34/12.81 | | | | | | | | | (4031) all_26_1 = e21
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | REDUCE: (114), (4030) imply:
% 86.34/12.81 | | | | | | | | | (4032) ~ (all_16_7 = e21)
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | SIMP: (4032) implies:
% 86.34/12.81 | | | | | | | | | (4033) ~ (all_16_7 = e21)
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | REDUCE: (113), (4030) imply:
% 86.34/12.81 | | | | | | | | | (4034) ~ (all_16_8 = e21)
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | SIMP: (4034) implies:
% 86.34/12.81 | | | | | | | | | (4035) ~ (all_16_8 = e21)
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | REDUCE: (112), (4030) imply:
% 86.34/12.81 | | | | | | | | | (4036) ~ (all_16_12 = e21)
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | REDUCE: (776), (4030) imply:
% 86.34/12.81 | | | | | | | | | (4037) ~ (all_6_1 = e21)
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | SIMP: (4037) implies:
% 86.34/12.81 | | | | | | | | | (4038) ~ (all_6_1 = e21)
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | REDUCE: (4026), (4030) imply:
% 86.34/12.81 | | | | | | | | | (4039) ~ (e23 = e21)
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | REDUCE: (149), (4030) imply:
% 86.34/12.81 | | | | | | | | | (4040) op2(e23, e22) = e21
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | BETA: splitting (236) gives:
% 86.34/12.81 | | | | | | | | |
% 86.34/12.81 | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | (4041) all_20_12 = e21
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | COMBINE_EQS: (632), (4041) imply:
% 86.34/12.81 | | | | | | | | | | (4042) all_16_3 = e21
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | SIMP: (4042) implies:
% 86.34/12.81 | | | | | | | | | | (4043) all_16_3 = e21
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | COMBINE_EQS: (525), (4043) imply:
% 86.34/12.81 | | | | | | | | | | (4044) all_26_12 = e21
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | REDUCE: (127), (4043) imply:
% 86.34/12.81 | | | | | | | | | | (4045) ~ (all_16_1 = e21)
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | REDUCE: (118), (4043) imply:
% 86.34/12.81 | | | | | | | | | | (4046) ~ (all_16_11 = e21)
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | SIMP: (4046) implies:
% 86.34/12.81 | | | | | | | | | | (4047) ~ (all_16_11 = e21)
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | REDUCE: (138), (4043) imply:
% 86.34/12.81 | | | | | | | | | | (4048) op2(e20, e23) = e21
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | BETA: splitting (241) gives:
% 86.34/12.81 | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | (4049) all_20_4 = e21
% 86.34/12.81 | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | REF_CLOSE: (612), (4045), (4049) are inconsistent by
% 86.34/12.81 | | | | | | | | | | | sub-proof #174.
% 86.34/12.81 | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | (4050) all_20_4 = e23 | all_20_4 = e22 | all_20_4 = e20
% 86.34/12.81 | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | BETA: splitting (4050) gives:
% 86.34/12.81 | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | (4051) all_20_4 = e23
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | COMBINE_EQS: (612), (4051) imply:
% 86.34/12.81 | | | | | | | | | | | | (4052) all_16_1 = e23
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | SIMP: (4052) implies:
% 86.34/12.81 | | | | | | | | | | | | (4053) all_16_1 = e23
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | REDUCE: (4024), (4053) imply:
% 86.34/12.81 | | | | | | | | | | | | (4054) $false
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | CLOSE: (4054) is inconsistent.
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | (4055) all_20_4 = e22 | all_20_4 = e20
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | BETA: splitting (337) gives:
% 86.34/12.81 | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | (4056) all_26_4 = e21
% 86.34/12.81 | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | REF_CLOSE: (552), (4035), (4056) are inconsistent by
% 86.34/12.81 | | | | | | | | | | | | | sub-proof #32.
% 86.34/12.81 | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | (4057) all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21
% 86.34/12.81 | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | BETA: splitting (4057) gives:
% 86.34/12.81 | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | (4058) all_26_5 = e21
% 86.34/12.81 | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | COMBINE_EQS: (542), (4058) imply:
% 86.34/12.81 | | | | | | | | | | | | | | (4059) all_16_9 = e21
% 86.34/12.81 | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | SIMP: (4059) implies:
% 86.34/12.81 | | | | | | | | | | | | | | (4060) all_16_9 = e21
% 86.34/12.81 | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | REDUCE: (97), (4060) imply:
% 86.34/12.81 | | | | | | | | | | | | | | (4061) ~ (all_16_13 = e21)
% 86.34/12.81 | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | BETA: splitting (4055) gives:
% 86.34/12.81 | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | (4062) all_20_4 = e22
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | COMBINE_EQS: (612), (4062) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | (4063) all_16_1 = e22
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | SIMP: (4063) implies:
% 86.34/12.81 | | | | | | | | | | | | | | | (4064) all_16_1 = e22
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | REDUCE: (766), (4064) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | (4065) $false
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | CLOSE: (4065) is inconsistent.
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | (4066) all_20_4 = e20
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | COMBINE_EQS: (612), (4066) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | (4067) all_16_1 = e20
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | SIMP: (4067) implies:
% 86.34/12.81 | | | | | | | | | | | | | | | (4068) all_16_1 = e20
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | COMBINE_EQS: (548), (4068) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | (4069) all_26_2 = e20
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | REDUCE: (767), (4068) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | (4070) ~ (all_6_1 = e20)
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | REDUCE: (4045), (4068) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | (4071) ~ (e21 = e20)
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | REDUCE: (146), (4068) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | (4072) op2(e22, e23) = e20
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 86.34/12.81 | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | (4073) all_20_2 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | REF_CLOSE: (617), (4035), (4073) are inconsistent by
% 86.34/12.81 | | | | | | | | | | | | | | | | sub-proof #97.
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | (4074) ~ (all_20_2 = e21)
% 86.34/12.81 | | | | | | | | | | | | | | | | (4075) all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | (4076) all_20_3 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (901), (4076) are inconsistent by sub-proof
% 86.34/12.81 | | | | | | | | | | | | | | | | | #120.
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | (4077) ~ (all_20_3 = e21)
% 86.34/12.81 | | | | | | | | | | | | | | | | | (4078) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | (4079) all_20_5 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (4079) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | (4080) all_6_1 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | SIMP: (4080) implies:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | (4081) all_6_1 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | REDUCE: (4038), (4081) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | (4082) $false
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | CLOSE: (4082) is inconsistent.
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | (4083) all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | (4084) all_20_7 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (4084) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | (4085) all_16_13 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | REDUCE: (902), (4085) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | (4086) $false
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | CLOSE: (4086) is inconsistent.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | (4087) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | (4088) all_26_15 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4088) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | (4089) all_4_1 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | SIMP: (4089) implies:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | (4090) all_4_1 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (4090) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | (4091) ~ (all_16_12 = e20)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (4090) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | (4092) ~ (all_16_13 = e20)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (4093) all_26_9 = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (550), (4027), (4093) are inconsistent by
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (4094) ~ (all_26_9 = e23)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (4095) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4095) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4096) all_26_10 = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4096) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4097) all_16_13 = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4097) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4098) op2(e22, e20) = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4078) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4099) all_20_3 = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (4027), (4099) are inconsistent by
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #134.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4100) all_20_3 = e22 | all_20_3 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4100) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_20_3 = e22
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (4101) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4102) all_16_12 = e22
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4102) implies:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4103) all_16_12 = e22
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4103) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4104) op2(e23, e20) = e22
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (4105) unit2 = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (22), (32), (43), (4072), (4105) are
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #172.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (4106) unit2 = e22 | unit2 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4106) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) unit2 = e22
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4107) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) op2(e22, e20) = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4107) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) op2(e23, e22) = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, e20, e20, e22,
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4098), (4108) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) e23 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e23, e22, e23,
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4040), (4109) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) e23 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (4110), (4111) are inconsistent by sub-proof
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | #9.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) unit2 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4112) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) op2(e20, e23) = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4112) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) op2(e23, e20) = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e23, e23, e20,
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4048), (4113) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) e23 = e21
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, e23, e20, e23,
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4104), (4114) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) e23 = e22
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (4115), (4116) are inconsistent by sub-proof
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | #112.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (4117) all_20_3 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (4091), (4117) are inconsistent by
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4118) ~ (all_26_10 = e23)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (4118) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4119) ~ (all_16_13 = e23)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4078) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4120) all_20_3 = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (4120) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4121) all_16_12 = e23
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4027), (4121) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4122) $false
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4122) is inconsistent.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4123) all_20_3 = e22 | all_20_3 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (627), (629), (4087), (4091), (4092),
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | | (4119), (4123) are inconsistent by sub-proof #162.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | (4124) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | all_26_14 = e20)
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | ALPHA: (4124) implies:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | (4125) all_26_12 = e20 | all_26_13 = e20 | all_26_14 =
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4125) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (4126) all_26_12 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (24), (348), (538), (548), (4023),
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (4045), (4126) are inconsistent by sub-proof #138.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | (4127) all_26_13 = e20 | all_26_14 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4127) gives:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4128) all_26_13 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (786), (4128) are inconsistent by sub-proof
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | #111.
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4129) all_26_14 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (4129) imply:
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | (4130) all_16_11 = e20
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.81 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4130) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | (4131) all_16_11 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (4131) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | (4132) ~ (all_16_8 = e20)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4075) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | (4133) all_20_2 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (790), (4133) are inconsistent by sub-proof
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | #96.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | (4134) all_20_2 = e22 | all_20_2 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4134) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_20_2 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (4135) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_16_8 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4136) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | (4137) all_16_8 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (4137) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | (4138) ~ (all_16_12 = e22)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4138) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | (4139) ~ (all_16_12 = e22)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4078) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_20_3 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (4140) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_16_12 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4027), (4141) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (4142) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4142) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (4143) ~ (all_20_3 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_20_3 = e22 | all_20_3 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4144) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) all_20_3 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (4145) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) all_16_12 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4139), (4146) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4147) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) all_20_3 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (4148) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) all_16_12 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (4149) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) ~ (all_16_13 = e20)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4150) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) ~ (all_16_13 = e20)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (4149) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) ~ (all_4_1 = e20)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4152) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) ~ (all_4_1 = e20)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4027), (4149) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) ~ (e23 = e20)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4154) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) ~ (e23 = e20)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4149) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) op2(e23, e20) = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_20_15 = e21
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (904), (4157) are inconsistent by sub-proof
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | #142.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) all_20_15 = e23 | all_20_15 = e22 | all_20_15 =
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_26_12 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4044), (4159) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) e23 = e21
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (4160) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4161) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) ~ (all_26_12 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) all_26_13 = e23 | all_26_14 = e23 | all_26_15 =
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) all_26_2 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4069), (4164) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) e23 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4155), (4165) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4166) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) all_26_12 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4044), (4168) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) e22 = e21
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (4169) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4170) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) all_26_13 = e22 | all_26_14 = e22 | all_26_15 =
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) unit2 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (22), (32), (43), (4072), (4172) are
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #172.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) unit2 = e22 | unit2 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4021) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) ~ (all_12_1 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (4174) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) ~ (all_6_1 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4083) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) all_20_5 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (4175), (4176) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) ~ (all_20_5 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) all_20_5 = e22 | all_20_5 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4167) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) all_26_3 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (4175), (4179) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #102.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_26_5 = e23 | all_26_10 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4178) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_20_5 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (4181) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) all_6_1 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4182) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) all_6_1 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (4183) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) ~ (all_16_7 = e22)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4180) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_26_5 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4058), (4185) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) e23 = e21
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (4186) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4187) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_26_10 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4188) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_16_13 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4189) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_16_13 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (4190) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) ~ (all_4_1 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4191) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) ~ (all_4_1 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4163) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_26_13 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (4193) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) all_16_7 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4194) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) all_16_7 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (4195) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) op2(e20, e22) = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4171) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_26_13 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (4193), (4197) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_26_14 = e22 | all_26_15 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4198) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_26_14 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4129), (4199) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) e22 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (4200) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4201) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_26_15 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4202) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) all_4_1 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4203) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) all_4_1 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (4204) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) op2(all_4_0, e22) = all_28_120
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (4204) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) op2(e22, all_4_0) = all_28_111
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (4204) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) op2(e20, e22) = all_4_0
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_4_0, e22, e20,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4196), (4207) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) all_4_0 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4205), (4208) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) op2(e23, e22) = all_28_120
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (4208) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) op2(e23, e20) = all_28_126
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4206), (4208) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) op2(e22, e23) = all_28_111
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (4208) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) op2(e20, e23) = all_4_2
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_4_2, e23, e20,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4048), (4212) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_4_2 = e21
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_111, e23, e22,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4072), (4211) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_28_111 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_126, e20, e23,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4156), (4210) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) all_28_126 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_120, e22, e23,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4040), (4209) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) all_28_120 = e21
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4173) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) unit2 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4217) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) op2(e22, e23) = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4217) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) op2(e23, e22) = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e23, e22,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4072), (4218) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) e23 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e23, e22, e23,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4040), (4219) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) e23 = e21
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (4220), (4221) are inconsistent by sub-proof
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #9.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) unit2 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4222) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) op2(e20, e23) = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4222) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) op2(e23, e20) = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e23, e23, e20,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4048), (4223) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) e23 = e21
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e20, e23,
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4156), (4224) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) e23 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (4225), (4226) are inconsistent by sub-proof
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #9.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) all_26_14 = e23 | all_26_15 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4158) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_20_15 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (4192), (4228) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #119.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) ~ (all_20_15 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_20_15 = e22 | all_20_15 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4230) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) all_20_15 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (4231) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_4_1 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4232) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_4_1 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4233) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_26_15 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4227) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) all_26_14 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4129), (4235) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) e23 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4155), (4236) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4237) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) all_26_15 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4234), (4238) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) e23 = e22
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (4239) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4240) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_20_15 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (4153), (4241) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) all_20_5 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (778), (4242) are inconsistent by sub-proof
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_12_1 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) ~ (all_12_2 = e23) | ~ (all_12_3 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (4243) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_6_1 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4245) implies:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) all_6_1 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (4246) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) ~ (all_16_7 = e23)
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4163) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) all_26_13 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (4247), (4248) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_26_14 = e23 | all_26_15 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4249) gives:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_26_14 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4129), (4250) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) e23 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4155), (4251) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) $false
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4252) is inconsistent.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_26_15 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4253) imply:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_4_1 = e23
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (694), (696), (4244), (4254) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | (4255) all_20_2 = e20
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (4132), (4255) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #94.
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | (4256) all_26_8 = e21 | all_26_14 = e21
% 86.34/12.82 | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | | REF_CLOSE: (24), (521), (702), (4047), (4256) are
% 86.34/12.82 | | | | | | | | | | | | | | inconsistent by sub-proof #98.
% 86.34/12.82 | | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | End of split
% 86.34/12.82 | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | (4257) ~ (all_20_12 = e21)
% 86.34/12.82 | | | | | | | | | | (4258) all_20_12 = e23 | all_20_12 = e22 | all_20_12 =
% 86.34/12.82 | | | | | | | | | | e20
% 86.34/12.82 | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | REDUCE: (632), (4257) imply:
% 86.34/12.82 | | | | | | | | | | (4259) ~ (all_16_3 = e21)
% 86.34/12.82 | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | BETA: splitting (4258) gives:
% 86.34/12.82 | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | Case 1:
% 86.34/12.82 | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | (4260) all_20_12 = e23
% 86.34/12.82 | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | REF_CLOSE: (632), (4025), (4260) are inconsistent by
% 86.34/12.82 | | | | | | | | | | | sub-proof #3.
% 86.34/12.82 | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | Case 2:
% 86.34/12.82 | | | | | | | | | | |
% 86.34/12.82 | | | | | | | | | | | (4261) ~ (all_20_12 = e23)
% 86.34/12.83 | | | | | | | | | | | (4262) all_20_12 = e22 | all_20_12 = e20
% 86.34/12.83 | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | BETA: splitting (348) gives:
% 86.34/12.83 | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | (4263) all_26_0 = e21
% 86.34/12.83 | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | COMBINE_EQS: (4023), (4263) imply:
% 86.34/12.83 | | | | | | | | | | | | (4264) e23 = e21
% 86.34/12.83 | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | REDUCE: (24), (4264) imply:
% 86.34/12.83 | | | | | | | | | | | | (4265) $false
% 86.34/12.83 | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | CLOSE: (4265) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | (4266) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 86.34/12.83 | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | BETA: splitting (4266) gives:
% 86.34/12.83 | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | (4267) all_26_2 = e21
% 86.34/12.83 | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | BETA: splitting (4262) gives:
% 86.34/12.83 | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | (4268) all_20_12 = e22
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | COMBINE_EQS: (632), (4268) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4269) all_16_3 = e22
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | REDUCE: (769), (4269) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4270) $false
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | CLOSE: (4270) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | (4271) all_20_12 = e20
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | COMBINE_EQS: (632), (4271) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4272) all_16_3 = e20
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | COMBINE_EQS: (525), (4272) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4273) all_26_12 = e20
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | REDUCE: (118), (4272) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4274) ~ (all_16_11 = e20)
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | SIMP: (4274) implies:
% 86.34/12.83 | | | | | | | | | | | | | | (4275) ~ (all_16_11 = e20)
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | REDUCE: (775), (4272) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4276) ~ (all_4_1 = e20)
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | SIMP: (4276) implies:
% 86.34/12.83 | | | | | | | | | | | | | | (4277) ~ (all_4_1 = e20)
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | REDUCE: (4025), (4272) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4278) ~ (e23 = e20)
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | SIMP: (4278) implies:
% 86.34/12.83 | | | | | | | | | | | | | | (4279) ~ (e23 = e20)
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | REDUCE: (4259), (4272) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4280) ~ (e21 = e20)
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | REDUCE: (138), (4272) imply:
% 86.34/12.83 | | | | | | | | | | | | | | (4281) op2(e20, e23) = e20
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 86.34/12.83 | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | (4282) all_26_12 = e21
% 86.34/12.83 | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | REF_CLOSE: (22), (4273), (4282) are inconsistent by sub-proof
% 86.34/12.83 | | | | | | | | | | | | | | | #140.
% 86.34/12.83 | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | (4283) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 86.34/12.83 | | | | | | | | | | | | | | | e21
% 86.34/12.83 | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | BETA: splitting (4283) gives:
% 86.34/12.83 | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | (4284) all_26_13 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (4284) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | (4285) all_16_7 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | REDUCE: (4033), (4285) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | (4286) $false
% 86.34/12.83 | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | CLOSE: (4286) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | (4287) all_26_14 = e21 | all_26_15 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | BETA: splitting (4287) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | (4288) all_26_14 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (4288) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | (4289) all_16_11 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | REDUCE: (98), (4289) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | (4290) ~ (all_16_9 = e21)
% 86.34/12.83 | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | (4291) all_20_6 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (4291) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | (4292) all_16_9 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | REDUCE: (4290), (4292) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | (4293) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | CLOSE: (4293) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | (4294) all_20_6 = e23 | all_20_6 = e22 | all_20_6 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | (4295) all_20_15 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (904), (4295) are inconsistent by sub-proof
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | #142.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | (4296) all_20_15 = e23 | all_20_15 = e22 | all_20_15 =
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | (4297) all_20_2 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (4035), (4297) are inconsistent by
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | (4298) ~ (all_20_2 = e21)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | (4299) all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | (4300) all_20_3 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (901), (4300) are inconsistent by sub-proof
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | #120.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | (4301) ~ (all_20_3 = e21)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | (4302) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | (4303) all_20_13 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (4303) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | (4304) all_16_7 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4033), (4304) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | (4305) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4305) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | (4306) all_20_13 = e23 | all_20_13 = e22 | all_20_13 =
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | (4307) all_20_5 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (4307) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | (4308) all_6_1 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4038), (4308) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | (4309) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4309) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | (4310) ~ (all_20_5 = e21)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | (4311) all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (4312) all_20_7 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (902), (4312) are inconsistent by sub-proof
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (4313) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_26_2 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4267), (4314) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | (4315) e23 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (4315) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | (4316) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4316) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) all_26_9 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (550), (4027), (4318) are inconsistent by
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) ~ (all_26_9 = e23)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_26_4 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (4321) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_16_8 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4322) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) all_16_8 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (4323) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) ~ (all_16_9 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4324) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) ~ (all_16_9 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (4323) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) ~ (all_16_12 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4326) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) ~ (all_16_12 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4294) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_20_6 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (4328) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) all_16_9 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (4329) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4330) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) all_20_6 = e22 | all_20_6 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4331) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_20_6 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (4332) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) all_16_9 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (4333) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) ~ (all_6_1 = e22)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4334) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) ~ (all_6_1 = e22)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4302) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) all_20_3 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (4027), (4336) are inconsistent by
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #134.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) all_20_3 = e22 | all_20_3 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4337) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) all_20_3 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (4338) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) all_16_12 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4339) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) all_16_12 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (4340) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) ~ (all_4_1 = e22)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4341) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) ~ (all_4_1 = e22)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4317) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) all_26_3 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (4343) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_6_1 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4344) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_6_1 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (4345) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) all_12_1 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4021) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) ~ (all_12_1 = e23)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4346), (4347) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4348) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) ~ (all_12_2 = e23) | ~ (all_12_3 = e23)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (694), (696), (4277), (4296), (4342),
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) are inconsistent by sub-proof #2.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) ~ (all_26_3 = e23)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (4350) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) ~ (all_6_1 = e23)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (778), (4311), (4335), (4351) are
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) all_20_3 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (4327), (4352) are inconsistent by
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) all_20_6 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (4353) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) all_16_9 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4325), (4354) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4355) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) ~ (all_26_4 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (4356) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) ~ (all_16_8 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) all_26_0 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4023), (4279), (4358) are inconsistent by
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4359) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) all_26_1 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4031), (4360) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) e21 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4361) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) e21 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (4362) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4363) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) all_26_4 = e20 | all_26_9 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) all_26_4 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (4365) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_16_8 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4366) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) all_16_8 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (4367) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) ~ (all_16_12 = e22)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4368) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) ~ (all_16_12 = e22)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4364) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) all_26_4 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (4365), (4370) are inconsistent by
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_26_9 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (4371) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) all_16_12 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4372) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) all_16_12 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (4373) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) ~ (all_16_13 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4374) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) ~ (all_16_13 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4369), (4373) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4376) ~ (e22 = e20)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4373) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4377) op2(e23, e20) = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4378) all_26_12 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4273), (4378) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4379) e22 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (4379) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4380) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4380) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4381) all_26_13 = e22 | all_26_14 = e22 | all_26_15 =
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4382) unit2 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4382) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4383) op2(e23, e22) = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e22, e22, e23,
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4040), (4383) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4384) e22 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (4384) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4385) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4386) unit2 = e22 | unit2 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4021) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4387) ~ (all_12_1 = e23)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (4387) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388) ~ (all_6_1 = e23)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4311) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389) all_20_5 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (4388), (4389) are inconsistent by
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390) all_20_5 = e22 | all_20_5 = e20
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4390) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4391) all_20_5 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (4391) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392) all_6_1 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4392) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393) all_6_1 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (4393) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4394) ~ (all_16_7 = e22)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (4393) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4395) ~ (all_16_13 = e22)
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4306) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4396) all_20_13 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (4396) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4397) all_16_7 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (4397) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4398) all_26_13 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (4397) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4399) op2(e20, e22) = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4320) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4400) all_26_10 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4400) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4401) all_16_13 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4401) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4402) all_16_13 = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4402) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4403) op2(e22, e20) = e23
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4381) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4404) all_26_13 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (4398), (4404) are inconsistent by
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405) all_26_14 = e22 | all_26_15 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4405) gives:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4406) all_26_14 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4288), (4406) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4407) e22 = e21
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (4407) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4408) $false
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4408) is inconsistent.
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) all_26_15 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4409) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) all_4_1 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4410) implies:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) all_4_1 = e22
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (4411) imply:
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) op2(all_4_0, e22) = all_28_120
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (4411) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) op2(e22, all_4_2) = all_28_117
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (4411) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) op2(e22, e20) = all_28_114
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (4411) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) op2(e20, e22) = all_4_0
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_4_0, e22, e20,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4399), (4415) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4416) all_4_0 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_114, e20, e22,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4403), (4414) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417) all_28_114 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (4416) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4418) op2(e23, all_4_2) = all_28_129
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4412), (4416) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419) op2(e23, e22) = all_28_120
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (4416) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4420) op2(e23, e20) = all_28_126
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (4416) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421) op2(e20, e23) = all_4_2
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_4_2, e23, e20,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4281), (4421) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4422) all_4_2 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_126, e20, e23,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4377), (4420) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) all_28_126 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_120, e22, e23,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4040), (4419) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4424) all_28_120 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4418), (4422) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4425) op2(e23, e20) = all_28_129
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4413), (4422) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4426) op2(e22, e20) = all_28_117
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_28_117, e20, e22,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4403), (4426) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4427) all_28_117 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_129, e20, e23,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4377), (4425) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428) all_28_129 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4386) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4429) unit2 = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4429) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4430) op2(e22, e20) = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4429) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4431) op2(e23, e22) = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, e20, e20, e22,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4403), (4430) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4432) e23 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e23, e22, e23,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4040), (4431) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4433) e23 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (4432), (4433) are inconsistent by sub-proof
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #9.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4434) unit2 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435) ~ (unit2 = e22)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4434) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4436) op2(e23, e20) = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (4434) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4437) op2(e22, e20) = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, e22, e20, e22,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4403), (4437) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4438) e23 = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e20, e23,
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4377), (4436) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4439) e23 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (4438), (4439) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #117.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4440) ~ (all_26_10 = e23)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (4440) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) ~ (all_16_13 = e23)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (4313), (4375), (4395), (4441) are
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #166.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) all_20_13 = e22 | all_20_13 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (633), (786), (4394), (4442) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) all_20_5 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (778), (4443) are inconsistent by sub-proof
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) all_12_1 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) ~ (all_12_2 = e23) | ~ (all_12_3 = e23)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (4444) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) all_6_1 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4446) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) all_6_1 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (4447) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) ~ (all_16_13 = e23)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4313) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) all_20_7 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (4448), (4449) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) all_20_7 = e22 | all_20_7 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4450) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_20_7 = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (4451) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) all_16_13 = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4452) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) all_16_13 = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (4453) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) ~ (all_4_1 = e22)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4454) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) ~ (all_4_1 = e22)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (637), (694), (696), (4277), (4296), (4445),
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) are inconsistent by sub-proof #2.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) all_20_7 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (4375), (4456) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #168.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) ~ (all_26_4 = e22)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (4457) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) ~ (all_16_8 = e22)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (790), (4299), (4357), (4458) are
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | (4459) all_26_15 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4459) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | (4460) all_4_1 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | REDUCE: (904), (4460) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | (4461) $false
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | CLOSE: (4461) is inconsistent.
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | (4462) ~ (all_26_2 = e21)
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | REDUCE: (548), (4462) imply:
% 86.34/12.84 | | | | | | | | | | | | | (4463) ~ (all_16_1 = e21)
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | REF_CLOSE: (22), (23), (525), (538), (548), (632), (769),
% 86.34/12.84 | | | | | | | | | | | | | (4262), (4266), (4463) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | sub-proof #31.
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | End of split
% 86.34/12.84 | | | | | | | | |
% 86.34/12.84 | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | |
% 86.34/12.84 | | | | | | | | | (4464) all_20_1 = e23 | all_20_1 = e22 | all_20_1 = e20
% 86.34/12.84 | | | | | | | | |
% 86.34/12.84 | | | | | | | | | BETA: splitting (4464) gives:
% 86.34/12.84 | | | | | | | | |
% 86.34/12.84 | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | (4465) all_20_1 = e23
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | COMBINE_EQS: (610), (4465) imply:
% 86.34/12.84 | | | | | | | | | | (4466) all_16_4 = e23
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | REDUCE: (4026), (4466) imply:
% 86.34/12.84 | | | | | | | | | | (4467) $false
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | CLOSE: (4467) is inconsistent.
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | (4468) ~ (all_20_1 = e23)
% 86.34/12.84 | | | | | | | | | | (4469) all_20_1 = e22 | all_20_1 = e20
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | BETA: splitting (4469) gives:
% 86.34/12.84 | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | (4470) all_20_1 = e22
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | COMBINE_EQS: (610), (4470) imply:
% 86.34/12.84 | | | | | | | | | | | (4471) all_16_4 = e22
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | COMBINE_EQS: (554), (4471) imply:
% 86.34/12.84 | | | | | | | | | | | (4472) all_26_1 = e22
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | REDUCE: (113), (4471) imply:
% 86.34/12.84 | | | | | | | | | | | (4473) ~ (all_16_8 = e22)
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | SIMP: (4473) implies:
% 86.34/12.84 | | | | | | | | | | | (4474) ~ (all_16_8 = e22)
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | REDUCE: (112), (4471) imply:
% 86.34/12.84 | | | | | | | | | | | (4475) ~ (all_16_12 = e22)
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | SIMP: (4475) implies:
% 86.34/12.84 | | | | | | | | | | | (4476) ~ (all_16_12 = e22)
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | REDUCE: (776), (4471) imply:
% 86.34/12.84 | | | | | | | | | | | (4477) ~ (all_6_1 = e22)
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | SIMP: (4477) implies:
% 86.34/12.84 | | | | | | | | | | | (4478) ~ (all_6_1 = e22)
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | REDUCE: (149), (4471) imply:
% 86.34/12.84 | | | | | | | | | | | (4479) op2(e23, e22) = e22
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | BETA: splitting (242) gives:
% 86.34/12.84 | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | (4480) all_20_3 = e21
% 86.34/12.84 | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | REF_CLOSE: (627), (901), (4480) are inconsistent by sub-proof
% 86.34/12.84 | | | | | | | | | | | | #120.
% 86.34/12.84 | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | (4481) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 86.34/12.84 | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | BETA: splitting (4481) gives:
% 86.34/12.84 | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | (4482) all_20_3 = e23
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | REF_CLOSE: (627), (4027), (4482) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | sub-proof #134.
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | (4483) all_20_3 = e22 | all_20_3 = e20
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | BETA: splitting (4483) gives:
% 86.34/12.84 | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | (4484) all_20_3 = e22
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | REF_CLOSE: (627), (4476), (4484) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | | sub-proof #113.
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | (4485) all_20_3 = e20
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | COMBINE_EQS: (627), (4485) imply:
% 86.34/12.84 | | | | | | | | | | | | | | (4486) all_16_12 = e20
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | SIMP: (4486) implies:
% 86.34/12.84 | | | | | | | | | | | | | | (4487) all_16_12 = e20
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | COMBINE_EQS: (550), (4487) imply:
% 86.34/12.84 | | | | | | | | | | | | | | (4488) all_26_9 = e20
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | REDUCE: (100), (4487) imply:
% 86.34/12.84 | | | | | | | | | | | | | | (4489) ~ (all_16_8 = e20)
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | REDUCE: (795), (4487) imply:
% 86.34/12.84 | | | | | | | | | | | | | | (4490) ~ (all_4_1 = e20)
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | SIMP: (4490) implies:
% 86.34/12.84 | | | | | | | | | | | | | | (4491) ~ (all_4_1 = e20)
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | REDUCE: (4476), (4487) imply:
% 86.34/12.84 | | | | | | | | | | | | | | (4492) ~ (e22 = e20)
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | REDUCE: (147), (4487) imply:
% 86.34/12.84 | | | | | | | | | | | | | | (4493) op2(e23, e20) = e20
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 86.34/12.84 | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | (4494) all_20_2 = e21
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | COMBINE_EQS: (617), (4494) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | (4495) all_16_8 = e21
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | COMBINE_EQS: (552), (4495) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | (4496) all_26_4 = e21
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | REDUCE: (103), (4495) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | (4497) ~ (all_16_9 = e21)
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | SIMP: (4497) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | (4498) ~ (all_16_9 = e21)
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | REDUCE: (101), (4495) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | (4499) ~ (all_16_11 = e21)
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | SIMP: (4499) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | (4500) ~ (all_16_11 = e21)
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 86.34/12.84 | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | (4501) all_20_13 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (4501) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | (4502) all_16_7 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (4502) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | (4503) all_26_13 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | REDUCE: (119), (4502) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | (4504) ~ (all_16_3 = e21)
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | REDUCE: (780), (4502) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | (4505) ~ (all_6_1 = e21)
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | SIMP: (4505) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | (4506) ~ (all_6_1 = e21)
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | (4507) all_20_12 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (632), (4504), (4507) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | | | | | sub-proof #176.
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | (4508) all_20_12 = e23 | all_20_12 = e22 | all_20_12 =
% 86.34/12.84 | | | | | | | | | | | | | | | | | e20
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | (4509) all_20_5 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (4509) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | (4510) all_6_1 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | REDUCE: (4506), (4510) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | (4511) $false
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | CLOSE: (4511) is inconsistent.
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | (4512) ~ (all_20_5 = e21)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | (4513) all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | BETA: splitting (4508) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | (4514) all_20_12 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (632), (4025), (4514) are inconsistent by
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | (4515) all_20_12 = e22 | all_20_12 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (4515) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4516) all_20_12 = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (4516) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4517) all_16_3 = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | SIMP: (4517) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4518) all_16_3 = e22
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (4518) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4519) $false
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | CLOSE: (4519) is inconsistent.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4520) all_20_12 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (4520) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4521) all_16_3 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | SIMP: (4521) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4522) all_16_3 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (4522) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4523) all_26_12 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4522) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4524) ~ (all_16_11 = e20)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | SIMP: (4524) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | (4525) ~ (all_16_11 = e20)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4513) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | (4526) all_20_5 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (4526) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | (4527) all_6_1 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | SIMP: (4527) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | (4528) all_6_1 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (4528) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | (4529) all_12_1 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (4528) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | (4530) ~ (e23 = e20)
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | (4531) all_20_14 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (4531) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | (4532) all_16_11 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4532) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | (4533) all_16_11 = e21
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4500), (4533) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | (4534) $false
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4534) is inconsistent.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | (4535) all_20_14 = e23 | all_20_14 = e22 | all_20_14 =
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | (4536) all_26_12 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4523), (4536) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | (4537) e23 = e20
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4530), (4537) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | (4538) $false
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4538) is inconsistent.
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | (4539) all_26_13 = e23 | all_26_14 = e23 | all_26_15 =
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4535) gives:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | (4540) all_20_14 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (4540) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | (4541) all_16_11 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4541) implies:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_16_11 = e23
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (4542) imply:
% 86.34/12.84 | | | | | | | | | | | | | | | | | | | | | | | | (4543) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4543) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4544) ~ (all_20_14 = e23)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4545) all_20_14 = e22 | all_20_14 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4021) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | (4546) ~ (all_12_1 = e23)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4529), (4546) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | (4547) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4547) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | (4548) ~ (all_12_2 = e23) | ~ (all_12_3 = e23)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4545) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4549) all_20_14 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (4549) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4550) all_16_11 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4550) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4551) all_16_11 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (4551) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4552) all_26_14 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4539) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4553) all_26_13 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4503), (4553) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4554) e23 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (4554) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4555) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4555) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4556) all_26_14 = e23 | all_26_15 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4556) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4557) all_26_14 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4552), (4557) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4558) e23 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (4558) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4559) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4560) all_26_15 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4560) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4561) all_4_1 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4561) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4562) all_4_1 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (696), (4562) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4563) all_12_3 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (694), (4548), (4563) are inconsistent by
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4564) all_20_14 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (4564) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4565) all_16_11 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4565) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4566) all_16_11 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4525), (4566) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4567) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4567) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | (4568) all_20_5 = e22 | all_20_5 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (778), (4478), (4568) are inconsistent by
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | sub-proof #151.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | End of split
% 86.34/12.85 | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | (4569) ~ (all_20_13 = e21)
% 86.34/12.85 | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | REDUCE: (633), (4569) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | (4570) ~ (all_16_7 = e21)
% 86.34/12.85 | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | (4571) all_26_12 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (4571) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | (4572) all_16_3 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | SIMP: (4572) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | (4573) all_16_3 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | REDUCE: (127), (4573) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | (4574) ~ (all_16_1 = e21)
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | REDUCE: (4025), (4573) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | (4575) ~ (e23 = e21)
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | REDUCE: (138), (4573) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | (4576) op2(e20, e23) = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | (4577) all_26_2 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (548), (4574), (4577) are inconsistent by
% 86.34/12.85 | | | | | | | | | | | | | | | | | | sub-proof #141.
% 86.34/12.85 | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | (4578) all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | BETA: splitting (4578) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | (4579) all_26_3 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (4579) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | (4580) all_6_1 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | SIMP: (4580) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | (4581) all_6_1 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | REDUCE: (54), (4581) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | (4582) op2(e22, e21) = all_6_0
% 86.34/12.85 | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | REDUCE: (53), (4581) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | (4583) op2(e22, e22) = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | (4584) all_26_15 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4584) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | (4585) all_4_1 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | SIMP: (4585) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | (4586) all_4_1 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (4491), (4586) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | (4587) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | CLOSE: (4587) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | (4588) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | all_26_14 = e20)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | ALPHA: (4588) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | (4589) all_26_12 = e20 | all_26_13 = e20 | all_26_14 =
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4589) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | (4590) all_26_12 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (24), (348), (538), (548), (4023),
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | (4574), (4590) are inconsistent by sub-proof #138.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | (4591) all_26_13 = e20 | all_26_14 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4591) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | (4592) all_26_13 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (786), (4592) are inconsistent by sub-proof
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | #111.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | (4593) all_26_14 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (4593) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | (4594) all_16_11 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4594) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | (4595) all_16_11 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (4595) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | (4596) ~ (e23 = e20)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4596) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | (4597) ~ (e23 = e20)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4500), (4595) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | (4598) ~ (e21 = e20)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | (4599) all_26_1 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4472), (4599) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | (4600) e23 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (4600) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | (4601) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4601) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | (4602) ~ (all_26_1 = e23)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | (4603) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_26_2 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (4604) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_16_1 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4605) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4606) all_16_1 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (4606) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4607) ~ (all_16_9 = e20)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4607) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4608) ~ (all_16_9 = e20)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (4606) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4609) ~ (all_16_13 = e20)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4609) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4610) ~ (all_16_13 = e20)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (4606) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | (4611) op2(e22, e23) = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_26_4 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4496), (4612) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | (4613) e22 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (4613) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | (4614) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4614) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4615) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) all_26_5 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (4616) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) all_16_9 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4617) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_16_9 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (4618) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) ~ (all_16_13 = e22)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4619) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) ~ (all_16_13 = e22)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4618) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) op2(e22, e21) = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) all_20_7 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (902), (4622) are inconsistent by sub-proof
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) ~ (all_20_7 = e21)
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4624) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) all_20_7 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (4625) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) all_16_13 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4626) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) all_16_13 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4627) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_26_10 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_26_9 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4488), (4629) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) e22 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (4630) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4631) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4632) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_26_10 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (4628), (4633) are inconsistent by
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) all_26_11 = e22 | all_26_15 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4603) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) all_26_3 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4579), (4635) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) e23 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (4636) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4637) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_26_7 = e23 | all_26_13 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4638) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) all_26_7 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (4639) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) e23 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4597), (4640) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4641) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_26_13 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (4642) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_16_7 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4643) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) all_16_7 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (4644) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) op2(e20, e22) = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4634) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_26_11 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (900), (4646) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) e22 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (4647) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) $false
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4648) is inconsistent.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) all_26_15 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (4649) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) all_4_1 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4650) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_4_1 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (4651) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) op2(all_4_0, e22) = all_28_120
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (4651) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) op2(e22, all_4_0) = all_28_111
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (4651) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) op2(e22, e22) = all_28_108
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (4651) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) op2(e20, e22) = all_4_0
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e23, all_4_0, e22, e20,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4645), (4655) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_4_0 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_6_0, e21, e22,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4582), (4621) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_6_0 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_108, e22, e22,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4583), (4654) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_28_108 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (4657) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) op2(e22, e22) = all_28_46
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (4657) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) op2(e22, e22) = all_28_48
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4652), (4656) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) op2(e23, e22) = all_28_120
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (4656) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) op2(e23, e20) = all_28_126
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (4656) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) op2(all_4_2, e23) = all_28_148
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (4657) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) op2(e22, e22) = all_6_2
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4653), (4656) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) op2(e22, e23) = all_28_111
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (4656) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) op2(e20, e23) = all_4_2
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_4_2, e23, e20,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4576), (4666) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_4_2 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, all_28_48, e22, e22,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4583), (4660) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) all_28_48 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_28_48, all_28_46, e22,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (4659), (4660) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) all_28_46 = all_28_48
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_6_2, all_28_46, e22,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (4659), (4664) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_28_46 = all_6_2
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_111, e23, e22,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4611), (4665) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) all_28_111 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, all_28_126, e20, e23,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4493), (4662) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) all_28_126 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_120, e22, e23,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4479), (4661) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_28_120 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4669), (4670) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_28_48 = all_6_2
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4674) implies:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) all_28_48 = all_6_2
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4668), (4675) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) all_6_2 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4663), (4667) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) op2(e21, e23) = all_28_148
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, all_28_148, e23, e21,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (4677) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) all_28_148 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) unit2 = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (4679) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) op2(e22, e23) = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (4679) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) op2(e21, e23) = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, e21, e23, e21,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (4681) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) e22 = e21
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e22, e23, e22,
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4611), (4680) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) e22 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (4682), (4683) are inconsistent by sub-proof
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #178.
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) unit2 = e22 | unit2 = e20
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4684) gives:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) unit2 = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4685) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) op2(e22, e23) = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4685) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) op2(e23, e22) = e23
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (4685) imply:
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) op2(e22, e22) = e22
% 86.34/12.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e22, e22, e22,
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4583), (4688) gives:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) e22 = e21
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e23, e22,
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4611), (4686) gives:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) e23 = e20
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e22, e23, e22, e23,
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4479), (4687) gives:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) e23 = e22
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (4689), (4690), (4691) are inconsistent by
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90.
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) unit2 = e20
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4692) imply:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) op2(e20, e23) = e23
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4692) imply:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) op2(e23, e20) = e23
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e21, e23, e23, e20,
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4576), (4693) gives:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) e23 = e21
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (43) with e20, e23, e20, e23,
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4493), (4694) gives:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) e23 = e20
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (4695), (4696) are inconsistent by sub-proof
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #9.
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) all_20_7 = e22 | all_20_7 = e20
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (4610), (4620), (4697) are inconsistent by
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_26_8 = e22 | all_26_14 = e22
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (770), (772), (4593), (4698) are
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | (4699) ~ (all_26_2 = e20)
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (4699) imply:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | (4700) ~ (all_16_1 = e20)
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (24), (346), (348), (538), (548),
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | (770), (4023), (4574), (4597), (4700) are
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | (4701) all_26_5 = e21 | all_26_10 = e21
% 86.34/12.86 | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (4701) gives:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | (4702) all_26_5 = e21
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (542), (4498), (4702) are inconsistent by
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | sub-proof #99.
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | (4703) all_26_10 = e21
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (540), (902), (4703) are inconsistent by sub-proof
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | | #123.
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | (4704) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 86.34/12.86 | | | | | | | | | | | | | | | | | e21
% 86.34/12.86 | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | BETA: splitting (4704) gives:
% 86.34/12.86 | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | Case 1:
% 86.34/12.86 | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | (4705) all_26_13 = e21
% 86.34/12.86 | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (4570), (4705) are inconsistent by
% 86.34/12.86 | | | | | | | | | | | | | | | | | | sub-proof #122.
% 86.34/12.86 | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | (4706) all_26_14 = e21 | all_26_15 = e21
% 86.34/12.86 | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (521), (904), (4500), (4706) are
% 86.34/12.86 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #148.
% 86.34/12.86 | | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | (4707) all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e20
% 86.34/12.86 | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | | REF_CLOSE: (617), (790), (4474), (4489), (4707) are
% 86.34/12.86 | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 86.34/12.86 | | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | Case 2:
% 86.34/12.86 | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | (4708) all_20_1 = e20
% 86.34/12.86 | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | COMBINE_EQS: (610), (4708) imply:
% 86.34/12.86 | | | | | | | | | | | (4709) all_16_4 = e20
% 86.34/12.86 | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | REDUCE: (777), (4709) imply:
% 86.34/12.86 | | | | | | | | | | | (4710) $false
% 86.34/12.86 | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | | CLOSE: (4710) is inconsistent.
% 86.34/12.86 | | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | | |
% 86.34/12.86 | | | | | | | | | End of split
% 86.34/12.86 | | | | | | | | |
% 86.34/12.86 | | | | | | | | End of split
% 86.34/12.86 | | | | | | | |
% 86.34/12.86 | | | | | | | End of split
% 86.34/12.86 | | | | | | |
% 86.34/12.86 | | | | | | End of split
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | End of split
% 86.34/12.86 | | | | |
% 86.34/12.86 | | | | Case 2:
% 86.34/12.86 | | | | |
% 86.34/12.86 | | | | | (4711) ~ (all_20_11 = e21)
% 86.34/12.86 | | | | |
% 86.34/12.86 | | | | | REDUCE: (630), (4711) imply:
% 86.34/12.86 | | | | | (4712) ~ (all_16_14 = e21)
% 86.34/12.86 | | | | |
% 86.34/12.86 | | | | | BETA: splitting (897) gives:
% 86.34/12.86 | | | | |
% 86.34/12.86 | | | | | Case 1:
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | | (4713) all_26_8 = e21
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | | COMBINE_EQS: (702), (4713) imply:
% 86.34/12.86 | | | | | | (4714) e23 = e21
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | | REDUCE: (24), (4714) imply:
% 86.34/12.86 | | | | | | (4715) $false
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | | CLOSE: (4715) is inconsistent.
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | Case 2:
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | | (4716) all_26_11 = e21
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | | COMBINE_EQS: (527), (4716) imply:
% 86.34/12.86 | | | | | | (4717) all_16_14 = e21
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | | REDUCE: (4712), (4717) imply:
% 86.34/12.86 | | | | | | (4718) $false
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | | CLOSE: (4718) is inconsistent.
% 86.34/12.86 | | | | | |
% 86.34/12.86 | | | | | End of split
% 86.34/12.86 | | | | |
% 86.34/12.86 | | | | End of split
% 86.34/12.86 | | | |
% 86.34/12.86 | | | End of split
% 86.34/12.86 | | |
% 86.34/12.86 | | End of split
% 86.34/12.86 | |
% 86.34/12.86 | Case 2:
% 86.34/12.86 | |
% 86.34/12.86 | | (4719) all_22_11 = e13 | all_22_11 = e12 | all_22_11 = e10
% 86.34/12.86 | |
% 86.34/12.86 | | BETA: splitting (4719) gives:
% 86.34/12.86 | |
% 86.34/12.86 | | Case 1:
% 86.34/12.86 | | |
% 86.34/12.86 | | | (4720) all_22_11 = e13
% 86.34/12.86 | | |
% 86.34/12.86 | | | COMBINE_EQS: (659), (4720) imply:
% 86.34/12.86 | | | (4721) all_18_14 = e13
% 86.34/12.86 | | |
% 86.34/12.86 | | | SIMP: (4721) implies:
% 86.34/12.86 | | | (4722) all_18_14 = e13
% 86.34/12.86 | | |
% 86.34/12.86 | | | REDUCE: (750), (4722) imply:
% 86.34/12.86 | | | (4723) $false
% 86.34/12.86 | | |
% 86.34/12.86 | | | CLOSE: (4723) is inconsistent.
% 86.34/12.86 | | |
% 86.34/12.86 | | Case 2:
% 86.34/12.86 | | |
% 86.34/12.86 | | | (4724) all_22_11 = e12 | all_22_11 = e10
% 86.34/12.86 | | |
% 86.34/12.86 | | | BETA: splitting (4724) gives:
% 86.34/12.86 | | |
% 86.34/12.86 | | | Case 1:
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | (4725) all_22_11 = e12
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | COMBINE_EQS: (659), (4725) imply:
% 86.34/12.86 | | | | (4726) all_18_14 = e12
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | SIMP: (4726) implies:
% 86.34/12.86 | | | | (4727) all_18_14 = e12
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | REDUCE: (727), (4727) imply:
% 86.34/12.86 | | | | (4728) $false
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | CLOSE: (4728) is inconsistent.
% 86.34/12.86 | | | |
% 86.34/12.86 | | | Case 2:
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | (4729) all_22_11 = e10
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | COMBINE_EQS: (659), (4729) imply:
% 86.34/12.86 | | | | (4730) all_18_14 = e10
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | SIMP: (4730) implies:
% 86.34/12.86 | | | | (4731) all_18_14 = e10
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | REDUCE: (743), (4731) imply:
% 86.34/12.86 | | | | (4732) $false
% 86.34/12.86 | | | |
% 86.34/12.86 | | | | CLOSE: (4732) is inconsistent.
% 86.34/12.86 | | | |
% 86.34/12.86 | | | End of split
% 86.34/12.86 | | |
% 86.34/12.86 | | End of split
% 86.34/12.86 | |
% 86.34/12.86 | End of split
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #1 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) all_20_2 = all_16_8
% 86.34/12.86 (2) ~ (all_16_8 = e22)
% 86.34/12.86 (3) ~ (all_16_8 = e23)
% 86.34/12.86 (4) all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e20
% 86.34/12.86 (5) ~ (all_16_8 = e20)
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | BETA: splitting (4) gives:
% 86.34/12.86 |
% 86.34/12.86 | Case 1:
% 86.34/12.86 | |
% 86.34/12.86 | | (6) all_20_2 = e23
% 86.34/12.86 | |
% 86.34/12.86 | | COMBINE_EQS: (1), (6) imply:
% 86.34/12.86 | | (7) all_16_8 = e23
% 86.34/12.86 | |
% 86.34/12.86 | | REDUCE: (3), (7) imply:
% 86.34/12.86 | | (8) $false
% 86.34/12.86 | |
% 86.34/12.86 | | CLOSE: (8) is inconsistent.
% 86.34/12.86 | |
% 86.34/12.86 | Case 2:
% 86.34/12.86 | |
% 86.34/12.86 | | (9) all_20_2 = e22 | all_20_2 = e20
% 86.34/12.86 | |
% 86.34/12.86 | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #33.
% 86.34/12.86 | |
% 86.34/12.86 | End of split
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #2 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) ~ (all_12_2 = e23) | ~ (all_12_3 = e23)
% 86.34/12.86 (2) all_20_15 = all_4_1
% 86.34/12.86 (3) all_20_15 = e23 | all_20_15 = e22 | all_20_15 = e20
% 86.34/12.86 (4) ~ (all_4_1 = e22)
% 86.34/12.86 (5) all_12_3 = all_4_1
% 86.34/12.86 (6) all_12_2 = e23
% 86.34/12.86 (7) ~ (all_4_1 = e20)
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | BETA: splitting (3) gives:
% 86.34/12.86 |
% 86.34/12.86 | Case 1:
% 86.34/12.86 | |
% 86.34/12.86 | | (8) all_20_15 = e23
% 86.34/12.86 | |
% 86.34/12.86 | | COMBINE_EQS: (2), (8) imply:
% 86.34/12.86 | | (9) all_4_1 = e23
% 86.34/12.86 | |
% 86.34/12.86 | | REF_CLOSE: (1), (5), (6), (9) are inconsistent by sub-proof #4.
% 86.34/12.86 | |
% 86.34/12.86 | Case 2:
% 86.34/12.86 | |
% 86.34/12.86 | | (10) all_20_15 = e22 | all_20_15 = e20
% 86.34/12.86 | |
% 86.34/12.86 | | BETA: splitting (10) gives:
% 86.34/12.86 | |
% 86.34/12.86 | | Case 1:
% 86.34/12.86 | | |
% 86.34/12.86 | | | (11) all_20_15 = e22
% 86.34/12.86 | | |
% 86.34/12.86 | | | COMBINE_EQS: (2), (11) imply:
% 86.34/12.86 | | | (12) all_4_1 = e22
% 86.34/12.86 | | |
% 86.34/12.86 | | | SIMP: (12) implies:
% 86.34/12.86 | | | (13) all_4_1 = e22
% 86.34/12.86 | | |
% 86.34/12.86 | | | REDUCE: (4), (13) imply:
% 86.34/12.86 | | | (14) $false
% 86.34/12.86 | | |
% 86.34/12.86 | | | CLOSE: (14) is inconsistent.
% 86.34/12.86 | | |
% 86.34/12.86 | | Case 2:
% 86.34/12.86 | | |
% 86.34/12.86 | | | (15) all_20_15 = e20
% 86.34/12.86 | | |
% 86.34/12.86 | | | REF_CLOSE: (2), (7), (15) are inconsistent by sub-proof #6.
% 86.34/12.86 | | |
% 86.34/12.86 | | End of split
% 86.34/12.86 | |
% 86.34/12.86 | End of split
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #3 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) all_20_12 = all_16_3
% 86.34/12.86 (2) all_20_12 = e23
% 86.34/12.86 (3) ~ (all_16_3 = e23)
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | COMBINE_EQS: (1), (2) imply:
% 86.34/12.86 | (4) all_16_3 = e23
% 86.34/12.86 |
% 86.34/12.86 | SIMP: (4) implies:
% 86.34/12.86 | (5) all_16_3 = e23
% 86.34/12.86 |
% 86.34/12.86 | REDUCE: (3), (5) imply:
% 86.34/12.86 | (6) $false
% 86.34/12.86 |
% 86.34/12.86 | CLOSE: (6) is inconsistent.
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #4 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) all_4_1 = e23
% 86.34/12.86 (2) all_12_3 = all_4_1
% 86.34/12.86 (3) ~ (all_12_2 = e23) | ~ (all_12_3 = e23)
% 86.34/12.86 (4) all_12_2 = e23
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | SIMP: (1) implies:
% 86.34/12.86 | (5) all_4_1 = e23
% 86.34/12.86 |
% 86.34/12.86 | COMBINE_EQS: (2), (5) imply:
% 86.34/12.86 | (6) all_12_3 = e23
% 86.34/12.86 |
% 86.34/12.86 | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #5.
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #5 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) ~ (all_12_2 = e23) | ~ (all_12_3 = e23)
% 86.34/12.86 (2) all_12_2 = e23
% 86.34/12.86 (3) all_12_3 = e23
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | BETA: splitting (1) gives:
% 86.34/12.86 |
% 86.34/12.86 | Case 1:
% 86.34/12.86 | |
% 86.34/12.86 | | (4) ~ (all_12_2 = e23)
% 86.34/12.86 | |
% 86.34/12.86 | | REDUCE: (2), (4) imply:
% 86.34/12.86 | | (5) $false
% 86.34/12.86 | |
% 86.34/12.86 | | CLOSE: (5) is inconsistent.
% 86.34/12.86 | |
% 86.34/12.86 | Case 2:
% 86.34/12.86 | |
% 86.34/12.86 | | (6) ~ (all_12_3 = e23)
% 86.34/12.86 | |
% 86.34/12.86 | | REDUCE: (3), (6) imply:
% 86.34/12.86 | | (7) $false
% 86.34/12.86 | |
% 86.34/12.86 | | CLOSE: (7) is inconsistent.
% 86.34/12.86 | |
% 86.34/12.86 | End of split
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #6 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) all_20_15 = all_4_1
% 86.34/12.86 (2) all_20_15 = e20
% 86.34/12.86 (3) ~ (all_4_1 = e20)
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | COMBINE_EQS: (1), (2) imply:
% 86.34/12.86 | (4) all_4_1 = e20
% 86.34/12.86 |
% 86.34/12.86 | SIMP: (4) implies:
% 86.34/12.86 | (5) all_4_1 = e20
% 86.34/12.86 |
% 86.34/12.86 | REDUCE: (3), (5) imply:
% 86.34/12.86 | (6) $false
% 86.34/12.86 |
% 86.34/12.86 | CLOSE: (6) is inconsistent.
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #7 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) all_26_13 = e23
% 86.34/12.86 (2) all_26_13 = e22
% 86.34/12.86 (3) ~ (e23 = e22)
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | COMBINE_EQS: (1), (2) imply:
% 86.34/12.86 | (4) e23 = e22
% 86.34/12.86 |
% 86.34/12.86 | SIMP: (4) implies:
% 86.34/12.86 | (5) e23 = e22
% 86.34/12.86 |
% 86.34/12.86 | REDUCE: (3), (5) imply:
% 86.34/12.86 | (6) $false
% 86.34/12.86 |
% 86.34/12.86 | CLOSE: (6) is inconsistent.
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #8 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) all_20_3 = all_16_12
% 86.34/12.86 (2) all_20_3 = e20
% 86.34/12.86 (3) ~ (all_16_12 = e20)
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | COMBINE_EQS: (1), (2) imply:
% 86.34/12.86 | (4) all_16_12 = e20
% 86.34/12.86 |
% 86.34/12.86 | SIMP: (4) implies:
% 86.34/12.86 | (5) all_16_12 = e20
% 86.34/12.86 |
% 86.34/12.86 | REDUCE: (3), (5) imply:
% 86.34/12.86 | (6) $false
% 86.34/12.86 |
% 86.34/12.86 | CLOSE: (6) is inconsistent.
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #9 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) e23 = e21
% 86.34/12.86 (2) e23 = e20
% 86.34/12.86 (3) ~ (e21 = e20)
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | COMBINE_EQS: (1), (2) imply:
% 86.34/12.86 | (4) e21 = e20
% 86.34/12.86 |
% 86.34/12.86 | SIMP: (4) implies:
% 86.34/12.86 | (5) e21 = e20
% 86.34/12.86 |
% 86.34/12.86 | REDUCE: (3), (5) imply:
% 86.34/12.86 | (6) $false
% 86.34/12.86 |
% 86.34/12.86 | CLOSE: (6) is inconsistent.
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #10 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) all_26_9 = all_16_12
% 86.34/12.86 (2) all_26_9 = e23
% 86.34/12.86 (3) ~ (all_16_12 = e23)
% 86.34/12.86
% 86.34/12.86 Begin of proof
% 86.34/12.86 |
% 86.34/12.86 | COMBINE_EQS: (1), (2) imply:
% 86.34/12.86 | (4) all_16_12 = e23
% 86.34/12.86 |
% 86.34/12.86 | SIMP: (4) implies:
% 86.34/12.86 | (5) all_16_12 = e23
% 86.34/12.86 |
% 86.34/12.86 | REDUCE: (3), (5) imply:
% 86.34/12.86 | (6) $false
% 86.34/12.86 |
% 86.34/12.86 | CLOSE: (6) is inconsistent.
% 86.34/12.86 |
% 86.34/12.86 End of proof
% 86.34/12.86
% 86.34/12.86 Sub-proof #11 shows that the following formulas are inconsistent:
% 86.34/12.86 ----------------------------------------------------------------
% 86.34/12.86 (1) all_24_11 = e11
% 86.34/12.86 (2) all_24_10 = e10 | all_24_11 = e10
% 86.34/12.87 (3) ~ (all_18_13 = e10)
% 86.34/12.87 (4) all_24_10 = all_18_13
% 86.34/12.87 (5) ~ (e11 = e10)
% 86.34/12.87
% 86.34/12.87 Begin of proof
% 86.34/12.87 |
% 86.34/12.87 | BETA: splitting (2) gives:
% 86.34/12.87 |
% 86.34/12.87 | Case 1:
% 86.34/12.87 | |
% 86.34/12.87 | | (6) all_24_10 = e10
% 86.34/12.87 | |
% 86.34/12.87 | | COMBINE_EQS: (4), (6) imply:
% 86.34/12.87 | | (7) all_18_13 = e10
% 86.34/12.87 | |
% 86.34/12.87 | | REDUCE: (3), (7) imply:
% 86.34/12.87 | | (8) $false
% 86.34/12.87 | |
% 86.34/12.87 | | CLOSE: (8) is inconsistent.
% 86.34/12.87 | |
% 86.34/12.87 | Case 2:
% 86.34/12.87 | |
% 86.34/12.87 | | (9) all_24_11 = e10
% 86.34/12.87 | |
% 86.34/12.87 | | COMBINE_EQS: (1), (9) imply:
% 86.34/12.87 | | (10) e11 = e10
% 86.34/12.87 | |
% 86.34/12.87 | | REDUCE: (5), (10) imply:
% 86.34/12.87 | | (11) $false
% 86.34/12.87 | |
% 86.34/12.87 | | CLOSE: (11) is inconsistent.
% 86.34/12.87 | |
% 86.34/12.87 | End of split
% 86.34/12.87 |
% 86.34/12.87 End of proof
% 86.34/12.87
% 86.34/12.87 Sub-proof #12 shows that the following formulas are inconsistent:
% 86.34/12.87 ----------------------------------------------------------------
% 86.34/12.87 (1) ~ (e12 = e11)
% 86.34/12.87 (2) op1(e13, unit1) = e13
% 86.34/12.87 (3) unit1 = e13 | unit1 = e12 | unit1 = e10
% 86.34/12.87 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.34/12.87 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.34/12.87 (5) op1(unit1, e12) = e12
% 86.34/12.87 (6) op1(e13, e10) = e10
% 86.34/12.87 (7) op1(e11, unit1) = e11
% 86.34/12.87 (8) ~ (e11 = e10)
% 86.34/12.87 (9) op1(e13, e12) = e11
% 86.34/12.87 (10) op1(e11, e12) = e10
% 86.34/12.87
% 86.34/12.87 Begin of proof
% 86.34/12.87 |
% 86.34/12.87 | BETA: splitting (3) gives:
% 86.34/12.87 |
% 86.34/12.87 | Case 1:
% 86.34/12.87 | |
% 86.34/12.87 | | (11) unit1 = e13
% 86.34/12.87 | |
% 86.34/12.87 | | REDUCE: (5), (11) imply:
% 86.34/12.87 | | (12) op1(e13, e12) = e12
% 86.34/12.87 | |
% 86.34/12.87 | | GROUND_INST: instantiating (4) with e11, e12, e12, e13, simplifying with
% 86.34/12.87 | | (9), (12) gives:
% 86.34/12.87 | | (13) e12 = e11
% 86.34/12.87 | |
% 86.34/12.87 | | REDUCE: (1), (13) imply:
% 86.34/12.87 | | (14) $false
% 86.34/12.87 | |
% 86.34/12.87 | | CLOSE: (14) is inconsistent.
% 86.34/12.87 | |
% 86.34/12.87 | Case 2:
% 86.34/12.87 | |
% 86.34/12.87 | | (15) ~ (unit1 = e13)
% 86.34/12.87 | | (16) unit1 = e12 | unit1 = e10
% 86.34/12.87 | |
% 86.34/12.87 | | REF_CLOSE: (2), (4), (6), (7), (8), (10), (15), (16) are inconsistent by
% 86.34/12.87 | | sub-proof #85.
% 86.34/12.87 | |
% 86.34/12.87 | End of split
% 86.34/12.87 |
% 86.34/12.87 End of proof
% 86.34/12.87
% 86.34/12.87 Sub-proof #13 shows that the following formulas are inconsistent:
% 86.34/12.87 ----------------------------------------------------------------
% 86.34/12.87 (1) ~ (e12 = e11)
% 86.34/12.87 (2) op1(e10, e13) = e11
% 86.34/12.87 (3) op1(unit1, e13) = e13
% 86.34/12.87 (4) op1(e12, unit1) = e12
% 86.34/12.87 (5) unit1 = e13 | unit1 = e12 | unit1 = e10
% 86.34/12.87 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.34/12.87 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.34/12.87 (7) op1(e10, e12) = all_18_7
% 86.34/12.87 (8) op1(unit1, e12) = e12
% 86.34/12.87 (9) all_18_7 = e13
% 86.34/12.87 (10) op1(e11, unit1) = e11
% 86.34/12.87 (11) ~ (e11 = e10)
% 86.34/12.87 (12) op1(e11, e13) = e12
% 86.34/12.87 (13) op1(e11, e12) = e10
% 86.34/12.87 (14) op1(e12, e13) = e10
% 86.34/12.87
% 86.34/12.87 Begin of proof
% 86.34/12.87 |
% 86.34/12.87 | REDUCE: (7), (9) imply:
% 86.34/12.87 | (15) op1(e10, e12) = e13
% 86.34/12.87 |
% 86.34/12.87 | BETA: splitting (5) gives:
% 86.34/12.87 |
% 86.34/12.87 | Case 1:
% 86.34/12.87 | |
% 86.34/12.87 | | (16) unit1 = e13
% 86.34/12.87 | |
% 86.34/12.87 | | REDUCE: (4), (16) imply:
% 86.34/12.87 | | (17) op1(e12, e13) = e12
% 86.34/12.87 | |
% 86.34/12.87 | | REDUCE: (10), (16) imply:
% 86.34/12.87 | | (18) op1(e11, e13) = e11
% 86.34/12.87 | |
% 86.34/12.87 | | GROUND_INST: instantiating (6) with e12, e11, e13, e11, simplifying with
% 86.34/12.87 | | (12), (18) gives:
% 86.34/12.87 | | (19) e12 = e11
% 86.34/12.87 | |
% 86.34/12.87 | | GROUND_INST: instantiating (6) with e10, e12, e13, e12, simplifying with
% 86.34/12.87 | | (14), (17) gives:
% 86.34/12.87 | | (20) e12 = e10
% 86.34/12.87 | |
% 86.34/12.87 | | REF_CLOSE: (11), (19), (20) are inconsistent by sub-proof #177.
% 86.34/12.87 | |
% 86.34/12.87 | Case 2:
% 86.34/12.87 | |
% 86.34/12.87 | | (21) unit1 = e12 | unit1 = e10
% 86.34/12.87 | |
% 86.34/12.87 | | REF_CLOSE: (1), (2), (3), (6), (8), (10), (11), (13), (15), (21) are
% 86.34/12.87 | | inconsistent by sub-proof #40.
% 86.34/12.87 | |
% 86.34/12.87 | End of split
% 86.34/12.87 |
% 86.34/12.87 End of proof
% 86.34/12.87
% 86.34/12.87 Sub-proof #14 shows that the following formulas are inconsistent:
% 86.34/12.87 ----------------------------------------------------------------
% 86.34/12.87 (1) op1(e12, e10) = e12
% 86.34/12.87 (2) op1(e10, e13) = e11
% 86.34/12.87 (3) op1(e12, e10) = e10
% 86.34/12.87 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.34/12.87 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.34/12.87 (5) op1(e10, e12) = e13
% 86.34/12.87 (6) ~ (e11 = e10)
% 86.34/12.87 (7) op1(e10, e13) = e13
% 86.34/12.87 (8) op1(e10, e12) = e12
% 86.34/12.87
% 86.34/12.87 Begin of proof
% 86.34/12.87 |
% 86.34/12.87 | GROUND_INST: instantiating (4) with e13, e12, e12, e10, simplifying with (5),
% 86.34/12.87 | (8) gives:
% 86.34/12.87 | (9) e13 = e12
% 86.34/12.87 |
% 86.34/12.87 | GROUND_INST: instantiating (4) with e11, e13, e13, e10, simplifying with (2),
% 86.34/12.87 | (7) gives:
% 86.34/12.87 | (10) e13 = e11
% 86.34/12.87 |
% 86.34/12.87 | GROUND_INST: instantiating (4) with e10, e12, e10, e12, simplifying with (1),
% 86.34/12.87 | (3) gives:
% 86.34/12.87 | (11) e12 = e10
% 86.34/12.87 |
% 86.34/12.87 | COMBINE_EQS: (9), (10) imply:
% 86.34/12.87 | (12) e12 = e11
% 86.34/12.87 |
% 86.34/12.87 | SIMP: (12) implies:
% 86.34/12.87 | (13) e12 = e11
% 86.34/12.87 |
% 86.34/12.87 | REF_CLOSE: (6), (11), (13) are inconsistent by sub-proof #177.
% 86.34/12.87 |
% 86.34/12.87 End of proof
% 86.34/12.87
% 86.34/12.87 Sub-proof #15 shows that the following formulas are inconsistent:
% 86.34/12.87 ----------------------------------------------------------------
% 86.34/12.87 (1) op1(e12, e13) = e13
% 86.34/12.87 (2) unit1 = e13
% 86.34/12.87 (3) op1(e13, e13) = e10
% 86.34/12.87 (4) op1(e12, unit1) = e12
% 86.34/12.87 (5) op1(e13, unit1) = e13
% 86.34/12.87 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.34/12.87 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.34/12.87 (7) op1(e11, unit1) = e11
% 86.34/12.87 (8) ~ (e11 = e10)
% 86.34/12.87 (9) op1(e11, e13) = e12
% 86.34/12.87
% 86.34/12.87 Begin of proof
% 86.34/12.87 |
% 86.34/12.87 | REDUCE: (2), (5) imply:
% 86.34/12.87 | (10) op1(e13, e13) = e13
% 86.34/12.87 |
% 86.34/12.87 | REDUCE: (2), (4) imply:
% 86.34/12.87 | (11) op1(e12, e13) = e12
% 86.34/12.87 |
% 86.34/12.87 | REDUCE: (2), (7) imply:
% 86.34/12.87 | (12) op1(e11, e13) = e11
% 86.34/12.87 |
% 86.34/12.87 | GROUND_INST: instantiating (6) with e12, e11, e13, e11, simplifying with (9),
% 86.34/12.87 | (12) gives:
% 86.34/12.87 | (13) e12 = e11
% 86.34/12.87 |
% 86.34/12.87 | GROUND_INST: instantiating (6) with e13, e12, e13, e12, simplifying with (1),
% 86.34/12.87 | (11) gives:
% 86.34/12.87 | (14) e13 = e12
% 86.34/12.87 |
% 86.34/12.87 | GROUND_INST: instantiating (6) with e10, e13, e13, e13, simplifying with (3),
% 86.34/12.87 | (10) gives:
% 86.34/12.87 | (15) e13 = e10
% 86.34/12.87 |
% 86.34/12.87 | REF_CLOSE: (8), (13), (14), (15) are inconsistent by sub-proof #16.
% 86.34/12.87 |
% 86.34/12.87 End of proof
% 86.34/12.87
% 86.34/12.87 Sub-proof #16 shows that the following formulas are inconsistent:
% 86.34/12.87 ----------------------------------------------------------------
% 86.34/12.87 (1) e13 = e10
% 86.34/12.87 (2) e13 = e12
% 86.34/12.87 (3) e12 = e11
% 86.34/12.87 (4) ~ (e11 = e10)
% 86.34/12.87
% 86.34/12.87 Begin of proof
% 86.34/12.87 |
% 86.34/12.87 | COMBINE_EQS: (1), (2) imply:
% 86.34/12.87 | (5) e12 = e10
% 86.34/12.87 |
% 86.34/12.87 | COMBINE_EQS: (3), (5) imply:
% 86.34/12.87 | (6) e11 = e10
% 86.34/12.87 |
% 86.34/12.87 | REDUCE: (4), (6) imply:
% 86.34/12.87 | (7) $false
% 86.34/12.87 |
% 86.34/12.87 | CLOSE: (7) is inconsistent.
% 86.34/12.87 |
% 86.34/12.87 End of proof
% 86.34/12.87
% 86.34/12.87 Sub-proof #17 shows that the following formulas are inconsistent:
% 86.34/12.87 ----------------------------------------------------------------
% 86.34/12.87 (1) all_22_1 = e12 | all_22_1 = e10
% 86.34/12.87 (2) ~ (all_18_4 = e10)
% 86.34/12.87 (3) ~ (all_18_7 = e10)
% 86.34/12.87 (4) all_22_13 = all_18_7
% 86.34/12.87 (5) all_22_13 = e12 | all_22_13 = e10
% 86.34/12.87 (6) ~ (all_18_4 = all_18_7)
% 86.34/12.87 (7) all_22_1 = all_18_4
% 86.34/12.87
% 86.34/12.87 Begin of proof
% 86.34/12.87 |
% 86.34/12.87 | BETA: splitting (1) gives:
% 86.34/12.87 |
% 86.34/12.87 | Case 1:
% 86.34/12.87 | |
% 86.34/12.87 | | (8) all_22_1 = e12
% 86.34/12.87 | |
% 86.34/12.87 | | COMBINE_EQS: (7), (8) imply:
% 86.34/12.87 | | (9) all_18_4 = e12
% 86.34/12.87 | |
% 86.34/12.87 | | SIMP: (9) implies:
% 86.34/12.87 | | (10) all_18_4 = e12
% 86.34/12.87 | |
% 86.34/12.87 | | REDUCE: (6), (10) imply:
% 86.34/12.87 | | (11) ~ (all_18_7 = e12)
% 86.34/12.87 | |
% 86.34/12.87 | | SIMP: (11) implies:
% 86.34/12.87 | | (12) ~ (all_18_7 = e12)
% 86.34/12.87 | |
% 86.34/12.87 | | REF_CLOSE: (3), (4), (5), (12) are inconsistent by sub-proof #45.
% 86.34/12.87 | |
% 86.34/12.87 | Case 2:
% 86.34/12.87 | |
% 86.34/12.87 | | (13) all_22_1 = e10
% 86.34/12.87 | |
% 86.65/12.87 | | REF_CLOSE: (2), (7), (13) are inconsistent by sub-proof #76.
% 86.65/12.87 | |
% 86.65/12.87 | End of split
% 86.65/12.87 |
% 86.65/12.87 End of proof
% 86.65/12.87
% 86.65/12.87 Sub-proof #18 shows that the following formulas are inconsistent:
% 86.65/12.87 ----------------------------------------------------------------
% 86.65/12.87 (1) all_24_8 = e11 | all_24_14 = e11
% 86.65/12.87 (2) all_24_14 = e10
% 86.65/12.87 (3) all_24_8 = e13
% 86.65/12.87 (4) ~ (e11 = e10)
% 86.65/12.87 (5) ~ (e13 = e11)
% 86.65/12.87
% 86.65/12.87 Begin of proof
% 86.65/12.87 |
% 86.65/12.87 | BETA: splitting (1) gives:
% 86.65/12.87 |
% 86.65/12.87 | Case 1:
% 86.65/12.87 | |
% 86.65/12.87 | | (6) all_24_8 = e11
% 86.65/12.87 | |
% 86.65/12.87 | | COMBINE_EQS: (3), (6) imply:
% 86.65/12.87 | | (7) e13 = e11
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (5), (7) imply:
% 86.65/12.87 | | (8) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (8) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | Case 2:
% 86.65/12.87 | |
% 86.65/12.87 | | (9) all_24_14 = e11
% 86.65/12.87 | |
% 86.65/12.87 | | COMBINE_EQS: (2), (9) imply:
% 86.65/12.87 | | (10) e11 = e10
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (4), (10) imply:
% 86.65/12.87 | | (11) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (11) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | End of split
% 86.65/12.87 |
% 86.65/12.87 End of proof
% 86.65/12.87
% 86.65/12.87 Sub-proof #19 shows that the following formulas are inconsistent:
% 86.65/12.87 ----------------------------------------------------------------
% 86.65/12.87 (1) op1(e12, e10) = e10
% 86.65/12.87 (2) op1(e12, unit1) = e12
% 86.65/12.87 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.65/12.87 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.65/12.87 (4) op1(unit1, e12) = e12
% 86.65/12.87 (5) ~ (unit1 = e11)
% 86.65/12.87 (6) unit1 = e12 | unit1 = e10
% 86.65/12.87 (7) op1(e10, e12) = e11
% 86.65/12.87 (8) op1(e11, unit1) = e11
% 86.65/12.87 (9) ~ (e11 = e10)
% 86.65/12.87 (10) op1(e11, e12) = e10
% 86.65/12.87
% 86.65/12.87 Begin of proof
% 86.65/12.87 |
% 86.65/12.87 | BETA: splitting (6) gives:
% 86.65/12.87 |
% 86.65/12.87 | Case 1:
% 86.65/12.87 | |
% 86.65/12.87 | | (11) unit1 = e12
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (8), (11) imply:
% 86.65/12.87 | | (12) op1(e11, e12) = e11
% 86.65/12.87 | |
% 86.65/12.87 | | GROUND_INST: instantiating (3) with e10, e11, e12, e11, simplifying with
% 86.65/12.87 | | (10), (12) gives:
% 86.65/12.87 | | (13) e11 = e10
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (9), (13) imply:
% 86.65/12.87 | | (14) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (14) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | Case 2:
% 86.65/12.87 | |
% 86.65/12.87 | | (15) unit1 = e10
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (5), (15) imply:
% 86.65/12.87 | | (16) ~ (e11 = e10)
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (4), (15) imply:
% 86.65/12.87 | | (17) op1(e10, e12) = e12
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (2), (15) imply:
% 86.65/12.87 | | (18) op1(e12, e10) = e12
% 86.65/12.87 | |
% 86.65/12.87 | | GROUND_INST: instantiating (3) with e11, e12, e12, e10, simplifying with
% 86.65/12.87 | | (7), (17) gives:
% 86.65/12.87 | | (19) e12 = e11
% 86.65/12.87 | |
% 86.65/12.87 | | GROUND_INST: instantiating (3) with e10, e12, e10, e12, simplifying with
% 86.65/12.87 | | (1), (18) gives:
% 86.65/12.87 | | (20) e12 = e10
% 86.65/12.87 | |
% 86.65/12.87 | | COMBINE_EQS: (19), (20) imply:
% 86.65/12.87 | | (21) e11 = e10
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (9), (21) imply:
% 86.65/12.87 | | (22) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (22) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | End of split
% 86.65/12.87 |
% 86.65/12.87 End of proof
% 86.65/12.87
% 86.65/12.87 Sub-proof #20 shows that the following formulas are inconsistent:
% 86.65/12.87 ----------------------------------------------------------------
% 86.65/12.87 (1) ~ (e13 = e12)
% 86.65/12.87 (2) all_24_14 = e10
% 86.65/12.87 (3) all_24_8 = e13
% 86.65/12.87 (4) all_24_8 = e12 | all_24_14 = e12
% 86.65/12.87 (5) ~ (e12 = e10)
% 86.65/12.87
% 86.65/12.87 Begin of proof
% 86.65/12.87 |
% 86.65/12.87 | BETA: splitting (4) gives:
% 86.65/12.87 |
% 86.65/12.87 | Case 1:
% 86.65/12.87 | |
% 86.65/12.87 | | (6) all_24_8 = e12
% 86.65/12.87 | |
% 86.65/12.87 | | COMBINE_EQS: (3), (6) imply:
% 86.65/12.87 | | (7) e13 = e12
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (1), (7) imply:
% 86.65/12.87 | | (8) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (8) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | Case 2:
% 86.65/12.87 | |
% 86.65/12.87 | | (9) all_24_14 = e12
% 86.65/12.87 | |
% 86.65/12.87 | | COMBINE_EQS: (2), (9) imply:
% 86.65/12.87 | | (10) e12 = e10
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (5), (10) imply:
% 86.65/12.87 | | (11) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (11) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | End of split
% 86.65/12.87 |
% 86.65/12.87 End of proof
% 86.65/12.87
% 86.65/12.87 Sub-proof #21 shows that the following formulas are inconsistent:
% 86.65/12.87 ----------------------------------------------------------------
% 86.65/12.87 (1) ~ (e13 = e12)
% 86.65/12.87 (2) all_24_11 = e11
% 86.65/12.87 (3) all_24_10 = e10
% 86.65/12.87 (4) all_24_15 = e12
% 86.65/12.87 (5) ~ (e13 = e10)
% 86.65/12.87 (6) ~ (e13 = e11)
% 86.65/12.87 (7) all_24_10 = e13 | all_24_11 = e13 | all_24_15 = e13
% 86.65/12.87
% 86.65/12.87 Begin of proof
% 86.65/12.87 |
% 86.65/12.87 | BETA: splitting (7) gives:
% 86.65/12.87 |
% 86.65/12.87 | Case 1:
% 86.65/12.87 | |
% 86.65/12.87 | | (8) all_24_10 = e13
% 86.65/12.87 | |
% 86.65/12.87 | | COMBINE_EQS: (3), (8) imply:
% 86.65/12.87 | | (9) e13 = e10
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (5), (9) imply:
% 86.65/12.87 | | (10) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (10) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | Case 2:
% 86.65/12.87 | |
% 86.65/12.87 | | (11) all_24_11 = e13 | all_24_15 = e13
% 86.65/12.87 | |
% 86.65/12.87 | | REF_CLOSE: (1), (2), (4), (6), (11) are inconsistent by sub-proof #22.
% 86.65/12.87 | |
% 86.65/12.87 | End of split
% 86.65/12.87 |
% 86.65/12.87 End of proof
% 86.65/12.87
% 86.65/12.87 Sub-proof #22 shows that the following formulas are inconsistent:
% 86.65/12.87 ----------------------------------------------------------------
% 86.65/12.87 (1) ~ (e13 = e12)
% 86.65/12.87 (2) all_24_11 = e11
% 86.65/12.87 (3) all_24_11 = e13 | all_24_15 = e13
% 86.65/12.87 (4) all_24_15 = e12
% 86.65/12.87 (5) ~ (e13 = e11)
% 86.65/12.87
% 86.65/12.87 Begin of proof
% 86.65/12.87 |
% 86.65/12.87 | BETA: splitting (3) gives:
% 86.65/12.87 |
% 86.65/12.87 | Case 1:
% 86.65/12.87 | |
% 86.65/12.87 | | (6) all_24_11 = e13
% 86.65/12.87 | |
% 86.65/12.87 | | COMBINE_EQS: (2), (6) imply:
% 86.65/12.87 | | (7) e13 = e11
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (5), (7) imply:
% 86.65/12.87 | | (8) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (8) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | Case 2:
% 86.65/12.87 | |
% 86.65/12.87 | | (9) all_24_15 = e13
% 86.65/12.87 | |
% 86.65/12.87 | | COMBINE_EQS: (4), (9) imply:
% 86.65/12.87 | | (10) e13 = e12
% 86.65/12.87 | |
% 86.65/12.87 | | REDUCE: (1), (10) imply:
% 86.65/12.87 | | (11) $false
% 86.65/12.87 | |
% 86.65/12.87 | | CLOSE: (11) is inconsistent.
% 86.65/12.87 | |
% 86.65/12.87 | End of split
% 86.65/12.87 |
% 86.65/12.87 End of proof
% 86.65/12.87
% 86.65/12.87 Sub-proof #23 shows that the following formulas are inconsistent:
% 86.65/12.87 ----------------------------------------------------------------
% 86.65/12.87 (1) op1(e13, e13) = e13
% 86.65/12.87 (2) op1(e13, e12) = e13
% 86.65/12.87 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.65/12.87 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.65/12.87 (4) op1(e13, e12) = e12
% 86.65/12.87 (5) ~ (e11 = e10)
% 86.65/12.87 (6) e12 = e10
% 86.65/12.87 (7) op1(e13, e13) = e11
% 86.65/12.87
% 86.65/12.87 Begin of proof
% 86.65/12.87 |
% 86.65/12.87 | GROUND_INST: instantiating (3) with e13, e12, e12, e13, simplifying with (2),
% 86.65/12.87 | (4) gives:
% 86.65/12.87 | (8) e13 = e12
% 86.65/12.87 |
% 86.65/12.87 | GROUND_INST: instantiating (3) with e11, e13, e13, e13, simplifying with (1),
% 86.65/12.87 | (7) gives:
% 86.65/12.87 | (9) e13 = e11
% 86.65/12.87 |
% 86.65/12.87 | COMBINE_EQS: (8), (9) imply:
% 86.65/12.87 | (10) e12 = e11
% 86.65/12.87 |
% 86.65/12.87 | SIMP: (10) implies:
% 86.65/12.87 | (11) e12 = e11
% 86.65/12.87 |
% 86.65/12.87 | COMBINE_EQS: (6), (11) imply:
% 86.65/12.87 | (12) e11 = e10
% 86.65/12.87 |
% 86.65/12.87 | REDUCE: (5), (12) imply:
% 86.65/12.87 | (13) $false
% 86.65/12.87 |
% 86.65/12.87 | CLOSE: (13) is inconsistent.
% 86.65/12.87 |
% 86.65/12.87 End of proof
% 86.65/12.87
% 86.65/12.88 Sub-proof #24 shows that the following formulas are inconsistent:
% 86.65/12.88 ----------------------------------------------------------------
% 86.65/12.88 (1) all_24_9 = e13
% 86.65/12.88 (2) all_24_9 = e10
% 86.65/12.88 (3) ~ (e13 = e10)
% 86.65/12.88
% 86.65/12.88 Begin of proof
% 86.65/12.88 |
% 86.65/12.88 | COMBINE_EQS: (1), (2) imply:
% 86.65/12.88 | (4) e13 = e10
% 86.65/12.88 |
% 86.65/12.88 | SIMP: (4) implies:
% 86.65/12.88 | (5) e13 = e10
% 86.65/12.88 |
% 86.65/12.88 | REDUCE: (3), (5) imply:
% 86.65/12.88 | (6) $false
% 86.65/12.88 |
% 86.65/12.88 | CLOSE: (6) is inconsistent.
% 86.65/12.88 |
% 86.65/12.88 End of proof
% 86.65/12.88
% 86.65/12.88 Sub-proof #25 shows that the following formulas are inconsistent:
% 86.65/12.88 ----------------------------------------------------------------
% 86.65/12.88 (1) all_24_7 = e13 | all_24_13 = e13
% 86.65/12.88 (2) all_24_13 = e11
% 86.65/12.88 (3) all_24_7 = e10
% 86.65/12.88 (4) ~ (e13 = e10)
% 86.65/12.88 (5) ~ (e13 = e11)
% 86.65/12.88
% 86.65/12.88 Begin of proof
% 86.65/12.88 |
% 86.65/12.88 | BETA: splitting (1) gives:
% 86.65/12.88 |
% 86.65/12.88 | Case 1:
% 86.65/12.88 | |
% 86.65/12.88 | | (6) all_24_7 = e13
% 86.65/12.88 | |
% 86.65/12.88 | | COMBINE_EQS: (3), (6) imply:
% 86.65/12.88 | | (7) e13 = e10
% 86.65/12.88 | |
% 86.65/12.88 | | REDUCE: (4), (7) imply:
% 86.65/12.88 | | (8) $false
% 86.65/12.88 | |
% 86.65/12.88 | | CLOSE: (8) is inconsistent.
% 86.65/12.88 | |
% 86.65/12.88 | Case 2:
% 86.65/12.88 | |
% 86.65/12.88 | | (9) all_24_13 = e13
% 86.65/12.88 | |
% 86.65/12.88 | | COMBINE_EQS: (2), (9) imply:
% 86.65/12.88 | | (10) e13 = e11
% 86.65/12.88 | |
% 86.65/12.88 | | REDUCE: (5), (10) imply:
% 86.65/12.88 | | (11) $false
% 86.65/12.88 | |
% 86.65/12.88 | | CLOSE: (11) is inconsistent.
% 86.65/12.88 | |
% 86.65/12.88 | End of split
% 86.65/12.88 |
% 86.65/12.88 End of proof
% 86.65/12.88
% 86.65/12.88 Sub-proof #26 shows that the following formulas are inconsistent:
% 86.65/12.88 ----------------------------------------------------------------
% 86.65/12.88 (1) all_22_15 = e12 | all_22_15 = e10
% 86.65/12.88 (2) all_22_15 = all_14_3
% 86.65/12.88 (3) ~ (all_14_3 = e12)
% 86.65/12.88 (4) ~ (all_14_3 = e10)
% 86.65/12.88
% 86.65/12.88 Begin of proof
% 86.65/12.88 |
% 86.65/12.88 | BETA: splitting (1) gives:
% 86.65/12.88 |
% 86.65/12.88 | Case 1:
% 86.65/12.88 | |
% 86.65/12.88 | | (5) all_22_15 = e12
% 86.65/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (2), (5) imply:
% 86.67/12.88 | | (6) all_14_3 = e12
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (3), (6) imply:
% 86.67/12.88 | | (7) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (7) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | Case 2:
% 86.67/12.88 | |
% 86.67/12.88 | | (8) all_22_15 = e10
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (2), (8) imply:
% 86.67/12.88 | | (9) all_14_3 = e10
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (4), (9) imply:
% 86.67/12.88 | | (10) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (10) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | End of split
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #27 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_22_15 = all_14_3
% 86.67/12.88 (2) all_22_15 = e13
% 86.67/12.88 (3) ~ (all_14_3 = e13)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.88 | (4) all_14_3 = e13
% 86.67/12.88 |
% 86.67/12.88 | SIMP: (4) implies:
% 86.67/12.88 | (5) all_14_3 = e13
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (3), (5) imply:
% 86.67/12.88 | (6) $false
% 86.67/12.88 |
% 86.67/12.88 | CLOSE: (6) is inconsistent.
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #28 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_24_5 = e12
% 86.67/12.88 (2) all_24_5 = e11
% 86.67/12.88 (3) ~ (e12 = e11)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.88 | (4) e12 = e11
% 86.67/12.88 |
% 86.67/12.88 | SIMP: (4) implies:
% 86.67/12.88 | (5) e12 = e11
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (3), (5) imply:
% 86.67/12.88 | (6) $false
% 86.67/12.88 |
% 86.67/12.88 | CLOSE: (6) is inconsistent.
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #29 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_24_1 = e13
% 86.67/12.88 (2) all_24_1 = e12
% 86.67/12.88 (3) ~ (e13 = e12)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.88 | (4) e13 = e12
% 86.67/12.88 |
% 86.67/12.88 | SIMP: (4) implies:
% 86.67/12.88 | (5) e13 = e12
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (3), (5) imply:
% 86.67/12.88 | (6) $false
% 86.67/12.88 |
% 86.67/12.88 | CLOSE: (6) is inconsistent.
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #30 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_24_0 = e13
% 86.67/12.88 (2) all_24_0 = e11
% 86.67/12.88 (3) ~ (e13 = e11)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.88 | (4) e13 = e11
% 86.67/12.88 |
% 86.67/12.88 | SIMP: (4) implies:
% 86.67/12.88 | (5) e13 = e11
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (3), (5) imply:
% 86.67/12.88 | (6) $false
% 86.67/12.88 |
% 86.67/12.88 | CLOSE: (6) is inconsistent.
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #31 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_20_12 = all_16_3
% 86.67/12.88 (2) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 86.67/12.88 (3) ~ (all_16_1 = e21)
% 86.67/12.88 (4) ~ (e21 = e20)
% 86.67/12.88 (5) all_26_12 = all_16_3
% 86.67/12.88 (6) ~ (all_16_3 = e22)
% 86.67/12.88 (7) all_26_6 = e22
% 86.67/12.88 (8) all_20_12 = e22 | all_20_12 = e20
% 86.67/12.88 (9) ~ (e22 = e21)
% 86.67/12.88 (10) all_26_2 = all_16_1
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | BETA: splitting (8) gives:
% 86.67/12.88 |
% 86.67/12.88 | Case 1:
% 86.67/12.88 | |
% 86.67/12.88 | | (11) all_20_12 = e22
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (1), (11) imply:
% 86.67/12.88 | | (12) all_16_3 = e22
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (6), (12) imply:
% 86.67/12.88 | | (13) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (13) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | Case 2:
% 86.67/12.88 | |
% 86.67/12.88 | | (14) all_20_12 = e20
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (1), (14) imply:
% 86.67/12.88 | | (15) all_16_3 = e20
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (5), (15) imply:
% 86.67/12.88 | | (16) all_26_12 = e20
% 86.67/12.88 | |
% 86.67/12.88 | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (16) are inconsistent by sub-proof
% 86.67/12.88 | | #139.
% 86.67/12.88 | |
% 86.67/12.88 | End of split
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #32 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_26_4 = all_16_8
% 86.67/12.88 (2) all_26_4 = e21
% 86.67/12.88 (3) ~ (all_16_8 = e21)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.88 | (4) all_16_8 = e21
% 86.67/12.88 |
% 86.67/12.88 | SIMP: (4) implies:
% 86.67/12.88 | (5) all_16_8 = e21
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (3), (5) imply:
% 86.67/12.88 | (6) $false
% 86.67/12.88 |
% 86.67/12.88 | CLOSE: (6) is inconsistent.
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #33 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_20_2 = e22 | all_20_2 = e20
% 86.67/12.88 (2) all_20_2 = all_16_8
% 86.67/12.88 (3) ~ (all_16_8 = e22)
% 86.67/12.88 (4) ~ (all_16_8 = e20)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | BETA: splitting (1) gives:
% 86.67/12.88 |
% 86.67/12.88 | Case 1:
% 86.67/12.88 | |
% 86.67/12.88 | | (5) all_20_2 = e22
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (2), (5) imply:
% 86.67/12.88 | | (6) all_16_8 = e22
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (3), (6) imply:
% 86.67/12.88 | | (7) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (7) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | Case 2:
% 86.67/12.88 | |
% 86.67/12.88 | | (8) all_20_2 = e20
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (2), (8) imply:
% 86.67/12.88 | | (9) all_16_8 = e20
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (4), (9) imply:
% 86.67/12.88 | | (10) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (10) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | End of split
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #34 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_22_14 = all_18_11
% 86.67/12.88 (2) all_22_14 = e10
% 86.67/12.88 (3) ~ (all_18_11 = e10)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.88 | (4) all_18_11 = e10
% 86.67/12.88 |
% 86.67/12.88 | SIMP: (4) implies:
% 86.67/12.88 | (5) all_18_11 = e10
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (3), (5) imply:
% 86.67/12.88 | (6) $false
% 86.67/12.88 |
% 86.67/12.88 | CLOSE: (6) is inconsistent.
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #35 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) ~ (e12 = e11)
% 86.67/12.88 (2) op1(e12, unit1) = e12
% 86.67/12.88 (3) ~ (all_18_7 = e10)
% 86.67/12.88 (4) unit1 = e13 | unit1 = e12 | unit1 = e10
% 86.67/12.88 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.67/12.88 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.67/12.88 (6) op1(e10, e12) = all_18_7
% 86.67/12.88 (7) op1(e12, e13) = e11
% 86.67/12.88 (8) op1(unit1, e12) = e12
% 86.67/12.88 (9) all_18_7 = e11
% 86.67/12.88 (10) op1(e11, unit1) = e11
% 86.67/12.88 (11) op1(e11, e12) = e10
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (3), (9) imply:
% 86.67/12.88 | (12) ~ (e11 = e10)
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (6), (9) imply:
% 86.67/12.88 | (13) op1(e10, e12) = e11
% 86.67/12.88 |
% 86.67/12.88 | BETA: splitting (4) gives:
% 86.67/12.88 |
% 86.67/12.88 | Case 1:
% 86.67/12.88 | |
% 86.67/12.88 | | (14) unit1 = e13
% 86.67/12.88 | |
% 86.67/12.88 | | REF_CLOSE: (1), (2), (5), (7), (14) are inconsistent by sub-proof #36.
% 86.67/12.88 | |
% 86.67/12.88 | Case 2:
% 86.67/12.88 | |
% 86.67/12.88 | | (15) unit1 = e12 | unit1 = e10
% 86.67/12.88 | |
% 86.67/12.88 | | REF_CLOSE: (1), (5), (8), (10), (11), (12), (13), (15) are inconsistent by
% 86.67/12.88 | | sub-proof #50.
% 86.67/12.88 | |
% 86.67/12.88 | End of split
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #36 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) ~ (e12 = e11)
% 86.67/12.88 (2) unit1 = e13
% 86.67/12.88 (3) op1(e12, unit1) = e12
% 86.67/12.88 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.67/12.88 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.67/12.88 (5) op1(e12, e13) = e11
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (2), (3) imply:
% 86.67/12.88 | (6) op1(e12, e13) = e12
% 86.67/12.88 |
% 86.67/12.88 | GROUND_INST: instantiating (4) with e11, e12, e13, e12, simplifying with (5),
% 86.67/12.88 | (6) gives:
% 86.67/12.88 | (7) e12 = e11
% 86.67/12.88 |
% 86.67/12.88 | REDUCE: (1), (7) imply:
% 86.67/12.88 | (8) $false
% 86.67/12.88 |
% 86.67/12.88 | CLOSE: (8) is inconsistent.
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #37 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) ~ (e12 = e11)
% 86.67/12.88 (2) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 86.67/12.88 (3) ~ (all_18_3 = e11)
% 86.67/12.88 (4) all_24_6 = e12
% 86.67/12.88 (5) all_24_2 = e10
% 86.67/12.88 (6) ~ (e11 = e10)
% 86.67/12.88 (7) all_24_12 = all_18_3
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | BETA: splitting (2) gives:
% 86.67/12.88 |
% 86.67/12.88 | Case 1:
% 86.67/12.88 | |
% 86.67/12.88 | | (8) all_24_2 = e11
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (5), (8) imply:
% 86.67/12.88 | | (9) e11 = e10
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (6), (9) imply:
% 86.67/12.88 | | (10) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (10) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | Case 2:
% 86.67/12.88 | |
% 86.67/12.88 | | (11) all_24_6 = e11 | all_24_12 = e11
% 86.67/12.88 | |
% 86.67/12.88 | | REF_CLOSE: (1), (3), (4), (7), (11) are inconsistent by sub-proof #54.
% 86.67/12.88 | |
% 86.67/12.88 | End of split
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #38 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) ~ (all_18_11 = e13)
% 86.67/12.88 (2) all_24_14 = all_18_11
% 86.67/12.88 (3) all_24_15 = e10
% 86.67/12.88 (4) all_24_14 = e13 | all_24_15 = e13
% 86.67/12.88 (5) ~ (e13 = e10)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | BETA: splitting (4) gives:
% 86.67/12.88 |
% 86.67/12.88 | Case 1:
% 86.67/12.88 | |
% 86.67/12.88 | | (6) all_24_14 = e13
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (2), (6) imply:
% 86.67/12.88 | | (7) all_18_11 = e13
% 86.67/12.88 | |
% 86.67/12.88 | | SIMP: (7) implies:
% 86.67/12.88 | | (8) all_18_11 = e13
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (1), (8) imply:
% 86.67/12.88 | | (9) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (9) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | Case 2:
% 86.67/12.88 | |
% 86.67/12.88 | | (10) all_24_15 = e13
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (3), (10) imply:
% 86.67/12.88 | | (11) e13 = e10
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (5), (11) imply:
% 86.67/12.88 | | (12) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (12) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | End of split
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #39 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_22_3 = e12 | all_22_3 = e10
% 86.67/12.88 (2) all_22_3 = all_18_12
% 86.67/12.88 (3) ~ (all_18_12 = e12)
% 86.67/12.88 (4) ~ (all_18_12 = e10)
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | BETA: splitting (1) gives:
% 86.67/12.88 |
% 86.67/12.88 | Case 1:
% 86.67/12.88 | |
% 86.67/12.88 | | (5) all_22_3 = e12
% 86.67/12.88 | |
% 86.67/12.88 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #66.
% 86.67/12.88 | |
% 86.67/12.88 | Case 2:
% 86.67/12.88 | |
% 86.67/12.88 | | (6) all_22_3 = e10
% 86.67/12.88 | |
% 86.67/12.88 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #65.
% 86.67/12.88 | |
% 86.67/12.88 | End of split
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #40 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) ~ (e12 = e11)
% 86.67/12.88 (2) op1(e10, e13) = e11
% 86.67/12.88 (3) op1(unit1, e13) = e13
% 86.67/12.88 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.67/12.88 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.67/12.88 (5) op1(unit1, e12) = e12
% 86.67/12.88 (6) unit1 = e12 | unit1 = e10
% 86.67/12.88 (7) op1(e10, e12) = e13
% 86.67/12.88 (8) op1(e11, unit1) = e11
% 86.67/12.88 (9) ~ (e11 = e10)
% 86.67/12.88 (10) op1(e11, e12) = e10
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | BETA: splitting (6) gives:
% 86.67/12.88 |
% 86.67/12.88 | Case 1:
% 86.67/12.88 | |
% 86.67/12.88 | | (11) unit1 = e12
% 86.67/12.88 | |
% 86.67/12.88 | | REF_CLOSE: (4), (8), (9), (10), (11) are inconsistent by sub-proof #86.
% 86.67/12.88 | |
% 86.67/12.88 | Case 2:
% 86.67/12.88 | |
% 86.67/12.88 | | (12) unit1 = e10
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (3), (12) imply:
% 86.67/12.88 | | (13) op1(e10, e13) = e13
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (5), (12) imply:
% 86.67/12.88 | | (14) op1(e10, e12) = e12
% 86.67/12.88 | |
% 86.67/12.88 | | GROUND_INST: instantiating (4) with e13, e12, e12, e10, simplifying with
% 86.67/12.88 | | (7), (14) gives:
% 86.67/12.88 | | (15) e13 = e12
% 86.67/12.88 | |
% 86.67/12.88 | | GROUND_INST: instantiating (4) with e11, e13, e13, e10, simplifying with
% 86.67/12.88 | | (2), (13) gives:
% 86.67/12.88 | | (16) e13 = e11
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (15), (16) imply:
% 86.67/12.88 | | (17) e12 = e11
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (1), (17) imply:
% 86.67/12.88 | | (18) $false
% 86.67/12.88 | |
% 86.67/12.88 | | CLOSE: (18) is inconsistent.
% 86.67/12.88 | |
% 86.67/12.88 | End of split
% 86.67/12.88 |
% 86.67/12.88 End of proof
% 86.67/12.88
% 86.67/12.88 Sub-proof #41 shows that the following formulas are inconsistent:
% 86.67/12.88 ----------------------------------------------------------------
% 86.67/12.88 (1) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13
% 86.67/12.88 (2) op1(e12, e13) = e13
% 86.67/12.88 (3) op1(unit1, e13) = e13
% 86.67/12.88 (4) op1(e12, unit1) = e12
% 86.67/12.88 (5) ~ (all_18_7 = e10)
% 86.67/12.88 (6) all_22_13 = all_18_7
% 86.67/12.88 (7) unit1 = e13 | unit1 = e12 | unit1 = e10
% 86.67/12.88 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.67/12.88 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.67/12.88 (9) op1(e10, e12) = all_18_7
% 86.67/12.88 (10) all_24_13 = all_18_7
% 86.67/12.88 (11) all_22_13 = e13 | all_22_13 = e12 | all_22_13 = e10
% 86.67/12.88 (12) op1(unit1, e12) = e12
% 86.67/12.88 (13) op1(e13, e10) = e13
% 86.67/12.88 (14) op1(e10, e13) = e10
% 86.67/12.88 (15) op1(unit1, e10) = e10
% 86.67/12.88 (16) ~ (all_18_7 = e12)
% 86.67/12.88 (17) op1(e11, unit1) = e11
% 86.67/12.88 (18) ~ (e11 = e10)
% 86.67/12.88 (19) op1(e11, e13) = e12
% 86.67/12.88 (20) op1(e11, e12) = e10
% 86.67/12.88
% 86.67/12.88 Begin of proof
% 86.67/12.88 |
% 86.67/12.88 | BETA: splitting (1) gives:
% 86.67/12.88 |
% 86.67/12.88 | Case 1:
% 86.67/12.88 | |
% 86.67/12.88 | | (21) all_24_13 = e13
% 86.67/12.88 | |
% 86.67/12.88 | | COMBINE_EQS: (10), (21) imply:
% 86.67/12.88 | | (22) all_18_7 = e13
% 86.67/12.88 | |
% 86.67/12.88 | | SIMP: (22) implies:
% 86.67/12.88 | | (23) all_18_7 = e13
% 86.67/12.88 | |
% 86.67/12.88 | | REDUCE: (9), (23) imply:
% 86.67/12.88 | | (24) op1(e10, e12) = e13
% 86.67/12.88 | |
% 86.67/12.88 | | BETA: splitting (7) gives:
% 86.67/12.88 | |
% 86.67/12.88 | | Case 1:
% 86.67/12.88 | | |
% 86.67/12.88 | | | (25) unit1 = e13
% 86.67/12.88 | | |
% 86.67/12.88 | | | REDUCE: (15), (25) imply:
% 86.67/12.88 | | | (26) op1(e13, e10) = e10
% 86.67/12.88 | | |
% 86.67/12.88 | | | REDUCE: (4), (25) imply:
% 86.67/12.88 | | | (27) op1(e12, e13) = e12
% 86.67/12.88 | | |
% 86.67/12.88 | | | REDUCE: (17), (25) imply:
% 86.67/12.88 | | | (28) op1(e11, e13) = e11
% 86.67/12.88 | | |
% 86.67/12.88 | | | GROUND_INST: instantiating (8) with e12, e11, e13, e11, simplifying with
% 86.67/12.88 | | | (19), (28) gives:
% 86.67/12.88 | | | (29) e12 = e11
% 86.67/12.88 | | |
% 86.67/12.88 | | | GROUND_INST: instantiating (8) with e13, e12, e13, e12, simplifying with
% 86.67/12.88 | | | (2), (27) gives:
% 86.67/12.88 | | | (30) e13 = e12
% 86.67/12.88 | | |
% 86.67/12.88 | | | GROUND_INST: instantiating (8) with e13, e10, e10, e13, simplifying with
% 86.67/12.88 | | | (13), (26) gives:
% 86.67/12.88 | | | (31) e13 = e10
% 86.67/12.88 | | |
% 86.67/12.88 | | | REF_CLOSE: (18), (29), (30), (31) are inconsistent by sub-proof #42.
% 86.67/12.88 | | |
% 86.67/12.88 | | Case 2:
% 86.67/12.88 | | |
% 86.67/12.88 | | | (32) unit1 = e12 | unit1 = e10
% 86.67/12.88 | | |
% 86.67/12.88 | | | BETA: splitting (32) gives:
% 86.67/12.88 | | |
% 86.67/12.88 | | | Case 1:
% 86.67/12.88 | | | |
% 86.67/12.88 | | | | (33) unit1 = e12
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | REF_CLOSE: (8), (17), (18), (20), (33) are inconsistent by sub-proof
% 86.67/12.89 | | | | #86.
% 86.67/12.89 | | | |
% 86.67/12.89 | | | Case 2:
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | (34) unit1 = e10
% 86.67/12.89 | | | | (35) ~ (unit1 = e12)
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | REDUCE: (34), (35) imply:
% 86.67/12.89 | | | | (36) ~ (e12 = e10)
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | SIMP: (36) implies:
% 86.67/12.89 | | | | (37) ~ (e12 = e10)
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | REDUCE: (3), (34) imply:
% 86.67/12.89 | | | | (38) op1(e10, e13) = e13
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | REDUCE: (12), (34) imply:
% 86.67/12.89 | | | | (39) op1(e10, e12) = e12
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | GROUND_INST: instantiating (8) with e13, e12, e12, e10, simplifying with
% 86.67/12.89 | | | | (24), (39) gives:
% 86.67/12.89 | | | | (40) e13 = e12
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | GROUND_INST: instantiating (8) with e10, e13, e13, e10, simplifying with
% 86.67/12.89 | | | | (14), (38) gives:
% 86.67/12.89 | | | | (41) e13 = e10
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | COMBINE_EQS: (40), (41) imply:
% 86.67/12.89 | | | | (42) e12 = e10
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | REDUCE: (37), (42) imply:
% 86.67/12.89 | | | | (43) $false
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | CLOSE: (43) is inconsistent.
% 86.67/12.89 | | | |
% 86.67/12.89 | | | End of split
% 86.67/12.89 | | |
% 86.67/12.89 | | End of split
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (44) ~ (all_24_13 = e13)
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (10), (44) imply:
% 86.67/12.89 | | (45) ~ (all_18_7 = e13)
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (5), (6), (11), (16), (45) are inconsistent by sub-proof #44.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #42 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) e13 = e12
% 86.67/12.89 (2) e13 = e10
% 86.67/12.89 (3) e12 = e11
% 86.67/12.89 (4) ~ (e11 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (5) e12 = e10
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (5) implies:
% 86.67/12.89 | (6) e12 = e10
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (3), (6) imply:
% 86.67/12.89 | (7) e11 = e10
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (4), (7) imply:
% 86.67/12.89 | (8) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (8) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #43 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_13 = all_18_7
% 86.67/12.89 (2) all_22_13 = e11
% 86.67/12.89 (3) ~ (all_18_7 = e11)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_18_7 = e11
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_18_7 = e11
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #44 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) ~ (all_18_7 = e10)
% 86.67/12.89 (2) all_22_13 = all_18_7
% 86.67/12.89 (3) all_22_13 = e13 | all_22_13 = e12 | all_22_13 = e10
% 86.67/12.89 (4) ~ (all_18_7 = e12)
% 86.67/12.89 (5) ~ (all_18_7 = e13)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (3) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (6) all_22_13 = e13
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (2), (6) imply:
% 86.67/12.89 | | (7) all_18_7 = e13
% 86.67/12.89 | |
% 86.67/12.89 | | SIMP: (7) implies:
% 86.67/12.89 | | (8) all_18_7 = e13
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (5), (8) imply:
% 86.67/12.89 | | (9) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (9) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (10) all_22_13 = e12 | all_22_13 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #45.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #45 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_13 = e12 | all_22_13 = e10
% 86.67/12.89 (2) all_22_13 = all_18_7
% 86.67/12.89 (3) ~ (all_18_7 = e12)
% 86.67/12.89 (4) ~ (all_18_7 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (1) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (5) all_22_13 = e12
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (2), (5) imply:
% 86.67/12.89 | | (6) all_18_7 = e12
% 86.67/12.89 | |
% 86.67/12.89 | | SIMP: (6) implies:
% 86.67/12.89 | | (7) all_18_7 = e12
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (3), (7) imply:
% 86.67/12.89 | | (8) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (8) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (9) all_22_13 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #46.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #46 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_13 = all_18_7
% 86.67/12.89 (2) all_22_13 = e10
% 86.67/12.89 (3) ~ (all_18_7 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_18_7 = e10
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_18_7 = e10
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #47 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_5 = e13 | all_22_5 = e12 | all_22_5 = e10
% 86.67/12.89 (2) all_22_5 = all_14_1
% 86.67/12.89 (3) ~ (all_14_1 = e10)
% 86.67/12.89 (4) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 86.67/12.89 (5) ~ (all_18_4 = e10)
% 86.67/12.89 (6) ~ (all_24_3 = e12)
% 86.67/12.89 (7) ~ (all_18_4 = e12)
% 86.67/12.89 (8) ~ (all_18_4 = all_14_1)
% 86.67/12.89 (9) all_24_3 = all_14_1
% 86.67/12.89 (10) all_22_1 = all_18_4
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (6), (9) imply:
% 86.67/12.89 | (11) ~ (all_14_1 = e12)
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (4) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (12) all_22_1 = e13
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (10), (12) imply:
% 86.67/12.89 | | (13) all_18_4 = e13
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (8), (13) imply:
% 86.67/12.89 | | (14) ~ (all_14_1 = e13)
% 86.67/12.89 | |
% 86.67/12.89 | | SIMP: (14) implies:
% 86.67/12.89 | | (15) ~ (all_14_1 = e13)
% 86.67/12.89 | |
% 86.67/12.89 | | BETA: splitting (1) gives:
% 86.67/12.89 | |
% 86.67/12.89 | | Case 1:
% 86.67/12.89 | | |
% 86.67/12.89 | | | (16) all_22_5 = e13
% 86.67/12.89 | | |
% 86.67/12.89 | | | REF_CLOSE: (2), (15), (16) are inconsistent by sub-proof #63.
% 86.67/12.89 | | |
% 86.67/12.89 | | Case 2:
% 86.67/12.89 | | |
% 86.67/12.89 | | | (17) all_22_5 = e12 | all_22_5 = e10
% 86.67/12.89 | | |
% 86.67/12.89 | | | BETA: splitting (17) gives:
% 86.67/12.89 | | |
% 86.67/12.89 | | | Case 1:
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | (18) all_22_5 = e12
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | COMBINE_EQS: (2), (18) imply:
% 86.67/12.89 | | | | (19) all_14_1 = e12
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | SIMP: (19) implies:
% 86.67/12.89 | | | | (20) all_14_1 = e12
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | REDUCE: (11), (20) imply:
% 86.67/12.89 | | | | (21) $false
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | CLOSE: (21) is inconsistent.
% 86.67/12.89 | | | |
% 86.67/12.89 | | | Case 2:
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | (22) all_22_5 = e10
% 86.67/12.89 | | | |
% 86.67/12.89 | | | | REF_CLOSE: (2), (3), (22) are inconsistent by sub-proof #62.
% 86.67/12.89 | | | |
% 86.67/12.89 | | | End of split
% 86.67/12.89 | | |
% 86.67/12.89 | | End of split
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (23) all_22_1 = e12 | all_22_1 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (5), (7), (10), (23) are inconsistent by sub-proof #75.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #48 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) ~ (all_18_4 = e11)
% 86.67/12.89 (2) ~ (all_18_4 = e10)
% 86.67/12.89 (3) ~ (all_18_4 = e13)
% 86.67/12.89 (4) ~ (all_18_4 = e12)
% 86.67/12.89 (5) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e11 | all_22_1 = e10
% 86.67/12.89 (6) all_22_1 = all_18_4
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (5) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (7) all_22_1 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #51.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (8) all_22_1 = e13 | all_22_1 = e12 | all_22_1 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | BETA: splitting (8) gives:
% 86.67/12.89 | |
% 86.67/12.89 | | Case 1:
% 86.67/12.89 | | |
% 86.67/12.89 | | | (9) all_22_1 = e13
% 86.67/12.89 | | |
% 86.67/12.89 | | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #49.
% 86.67/12.89 | | |
% 86.67/12.89 | | Case 2:
% 86.67/12.89 | | |
% 86.67/12.89 | | | (10) all_22_1 = e12 | all_22_1 = e10
% 86.67/12.89 | | |
% 86.67/12.89 | | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #75.
% 86.67/12.89 | | |
% 86.67/12.89 | | End of split
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #49 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_1 = all_18_4
% 86.67/12.89 (2) all_22_1 = e13
% 86.67/12.89 (3) ~ (all_18_4 = e13)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_18_4 = e13
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_18_4 = e13
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #50 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) ~ (e12 = e11)
% 86.67/12.89 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.67/12.89 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.67/12.89 (3) op1(unit1, e12) = e12
% 86.67/12.89 (4) unit1 = e12 | unit1 = e10
% 86.67/12.89 (5) op1(e10, e12) = e11
% 86.67/12.89 (6) op1(e11, unit1) = e11
% 86.67/12.89 (7) ~ (e11 = e10)
% 86.67/12.89 (8) op1(e11, e12) = e10
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (4) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (9) unit1 = e12
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (2), (6), (7), (8), (9) are inconsistent by sub-proof #86.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (10) unit1 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (3), (10) imply:
% 86.67/12.89 | | (11) op1(e10, e12) = e12
% 86.67/12.89 | |
% 86.67/12.89 | | GROUND_INST: instantiating (2) with e11, e12, e12, e10, simplifying with
% 86.67/12.89 | | (5), (11) gives:
% 86.67/12.89 | | (12) e12 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (1), (12) imply:
% 86.67/12.89 | | (13) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (13) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #51 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_1 = all_18_4
% 86.67/12.89 (2) all_22_1 = e11
% 86.67/12.89 (3) ~ (all_18_4 = e11)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_18_4 = e11
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_18_4 = e11
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #52 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_14 = all_18_11
% 86.67/12.89 (2) all_22_14 = e13
% 86.67/12.89 (3) ~ (all_18_11 = e13)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_18_11 = e13
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_18_11 = e13
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #53 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_12 = e12 | all_22_12 = e10
% 86.67/12.89 (2) all_22_12 = all_18_3
% 86.67/12.89 (3) ~ (all_18_3 = e12)
% 86.67/12.89 (4) ~ (all_18_3 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (1) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (5) all_22_12 = e12
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (2), (5) imply:
% 86.67/12.89 | | (6) all_18_3 = e12
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (3), (6) imply:
% 86.67/12.89 | | (7) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (7) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (8) all_22_12 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (2), (8) imply:
% 86.67/12.89 | | (9) all_18_3 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (4), (9) imply:
% 86.67/12.89 | | (10) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (10) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #54 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) ~ (e12 = e11)
% 86.67/12.89 (2) all_24_6 = e11 | all_24_12 = e11
% 86.67/12.89 (3) ~ (all_18_3 = e11)
% 86.67/12.89 (4) all_24_6 = e12
% 86.67/12.89 (5) all_24_12 = all_18_3
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (2) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (6) all_24_6 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (4), (6) imply:
% 86.67/12.89 | | (7) e12 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | SIMP: (7) implies:
% 86.67/12.89 | | (8) e12 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (1), (8) imply:
% 86.67/12.89 | | (9) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (9) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (10) all_24_12 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (5), (10) imply:
% 86.67/12.89 | | (11) all_18_3 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | SIMP: (11) implies:
% 86.67/12.89 | | (12) all_18_3 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (3), (12) imply:
% 86.67/12.89 | | (13) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (13) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #55 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) ~ (all_14_1 = e11)
% 86.67/12.89 (2) all_24_13 = all_18_7
% 86.67/12.89 (3) all_24_7 = e10
% 86.67/12.89 (4) ~ (all_18_7 = e11)
% 86.67/12.89 (5) ~ (e11 = e10)
% 86.67/12.89 (6) all_24_3 = all_14_1
% 86.67/12.89 (7) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (7) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (8) all_24_3 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (6), (8) imply:
% 86.67/12.89 | | (9) all_14_1 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | SIMP: (9) implies:
% 86.67/12.89 | | (10) all_14_1 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (1), (10) imply:
% 86.67/12.89 | | (11) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (11) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (12) all_24_7 = e11 | all_24_13 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (2), (3), (4), (5), (12) are inconsistent by sub-proof #56.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #56 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_24_13 = all_18_7
% 86.67/12.89 (2) all_24_7 = e11 | all_24_13 = e11
% 86.67/12.89 (3) all_24_7 = e10
% 86.67/12.89 (4) ~ (all_18_7 = e11)
% 86.67/12.89 (5) ~ (e11 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (2) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (6) all_24_7 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (3), (6) imply:
% 86.67/12.89 | | (7) e11 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (5), (7) imply:
% 86.67/12.89 | | (8) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (8) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (9) all_24_13 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (1), (9) imply:
% 86.67/12.89 | | (10) all_18_7 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | SIMP: (10) implies:
% 86.67/12.89 | | (11) all_18_7 = e11
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (4), (11) imply:
% 86.67/12.89 | | (12) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (12) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #57 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_4 = e13 | all_22_4 = e12 | all_22_4 = e10
% 86.67/12.89 (2) all_22_4 = all_18_1
% 86.67/12.89 (3) ~ (all_18_1 = e13)
% 86.67/12.89 (4) ~ (all_18_1 = e12)
% 86.67/12.89 (5) ~ (all_18_1 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (1) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (6) all_22_4 = e13
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #60.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (7) all_22_4 = e12 | all_22_4 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #58.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #58 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_4 = e12 | all_22_4 = e10
% 86.67/12.89 (2) all_22_4 = all_18_1
% 86.67/12.89 (3) ~ (all_18_1 = e12)
% 86.67/12.89 (4) ~ (all_18_1 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | BETA: splitting (1) gives:
% 86.67/12.89 |
% 86.67/12.89 | Case 1:
% 86.67/12.89 | |
% 86.67/12.89 | | (5) all_22_4 = e12
% 86.67/12.89 | |
% 86.67/12.89 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #59.
% 86.67/12.89 | |
% 86.67/12.89 | Case 2:
% 86.67/12.89 | |
% 86.67/12.89 | | (6) all_22_4 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | COMBINE_EQS: (2), (6) imply:
% 86.67/12.89 | | (7) all_18_1 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | SIMP: (7) implies:
% 86.67/12.89 | | (8) all_18_1 = e10
% 86.67/12.89 | |
% 86.67/12.89 | | REDUCE: (4), (8) imply:
% 86.67/12.89 | | (9) $false
% 86.67/12.89 | |
% 86.67/12.89 | | CLOSE: (9) is inconsistent.
% 86.67/12.89 | |
% 86.67/12.89 | End of split
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #59 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_4 = all_18_1
% 86.67/12.89 (2) all_22_4 = e12
% 86.67/12.89 (3) ~ (all_18_1 = e12)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_18_1 = e12
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_18_1 = e12
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #60 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_4 = all_18_1
% 86.67/12.89 (2) all_22_4 = e13
% 86.67/12.89 (3) ~ (all_18_1 = e13)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_18_1 = e13
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_18_1 = e13
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #61 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_2 = all_18_8
% 86.67/12.89 (2) all_22_2 = e10
% 86.67/12.89 (3) ~ (all_18_8 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_18_8 = e10
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_18_8 = e10
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #62 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_5 = all_14_1
% 86.67/12.89 (2) all_22_5 = e10
% 86.67/12.89 (3) ~ (all_14_1 = e10)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_14_1 = e10
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_14_1 = e10
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.89 |
% 86.67/12.89 End of proof
% 86.67/12.89
% 86.67/12.89 Sub-proof #63 shows that the following formulas are inconsistent:
% 86.67/12.89 ----------------------------------------------------------------
% 86.67/12.89 (1) all_22_5 = all_14_1
% 86.67/12.89 (2) all_22_5 = e13
% 86.67/12.89 (3) ~ (all_14_1 = e13)
% 86.67/12.89
% 86.67/12.89 Begin of proof
% 86.67/12.89 |
% 86.67/12.89 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.89 | (4) all_14_1 = e13
% 86.67/12.89 |
% 86.67/12.89 | SIMP: (4) implies:
% 86.67/12.89 | (5) all_14_1 = e13
% 86.67/12.89 |
% 86.67/12.89 | REDUCE: (3), (5) imply:
% 86.67/12.89 | (6) $false
% 86.67/12.89 |
% 86.67/12.89 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #64 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_3 = e12 | all_22_3 = e10
% 86.67/12.90 (2) all_22_3 = all_18_12
% 86.67/12.90 (3) ~ (all_18_12 = e12)
% 86.67/12.90 (4) ~ (all_18_12 = e10)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | BETA: splitting (1) gives:
% 86.67/12.90 |
% 86.67/12.90 | Case 1:
% 86.67/12.90 | |
% 86.67/12.90 | | (5) all_22_3 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #66.
% 86.67/12.90 | |
% 86.67/12.90 | Case 2:
% 86.67/12.90 | |
% 86.67/12.90 | | (6) all_22_3 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #65.
% 86.67/12.90 | |
% 86.67/12.90 | End of split
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #65 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_3 = all_18_12
% 86.67/12.90 (2) all_22_3 = e10
% 86.67/12.90 (3) ~ (all_18_12 = e10)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_12 = e10
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_12 = e10
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #66 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_3 = all_18_12
% 86.67/12.90 (2) all_22_3 = e12
% 86.67/12.90 (3) ~ (all_18_12 = e12)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_12 = e12
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_12 = e12
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #67 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_3 = all_18_12
% 86.67/12.90 (2) all_22_3 = e13
% 86.67/12.90 (3) ~ (all_18_12 = e13)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_12 = e13
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_12 = e13
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #68 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_2 = all_18_8
% 86.67/12.90 (2) all_22_2 = e13
% 86.67/12.90 (3) ~ (all_18_8 = e13)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_8 = e13
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_8 = e13
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #69 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_2 = all_18_8
% 86.67/12.90 (2) all_22_2 = e11
% 86.67/12.90 (3) ~ (all_18_8 = e11)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_8 = e11
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_8 = e11
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #70 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_0 = all_14_0
% 86.67/12.90 (2) all_22_0 = e12
% 86.67/12.90 (3) ~ (all_14_0 = e12)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_14_0 = e12
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_14_0 = e12
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #71 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_5 = all_14_1
% 86.67/12.90 (2) all_22_5 = e11
% 86.67/12.90 (3) ~ (all_14_1 = e11)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_14_1 = e11
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_14_1 = e11
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #72 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_24_0 = all_14_0
% 86.67/12.90 (2) all_24_0 = e11
% 86.67/12.90 (3) ~ (all_14_0 = e11)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_14_0 = e11
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_14_0 = e11
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #73 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) ~ (all_18_3 = e10)
% 86.67/12.90 (2) all_24_6 = e12
% 86.67/12.90 (3) all_24_6 = e10 | all_24_12 = e10
% 86.67/12.90 (4) ~ (e12 = e10)
% 86.67/12.90 (5) all_24_12 = all_18_3
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | BETA: splitting (3) gives:
% 86.67/12.90 |
% 86.67/12.90 | Case 1:
% 86.67/12.90 | |
% 86.67/12.90 | | (6) all_24_6 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | COMBINE_EQS: (2), (6) imply:
% 86.67/12.90 | | (7) e12 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | SIMP: (7) implies:
% 86.67/12.90 | | (8) e12 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | REDUCE: (4), (8) imply:
% 86.67/12.90 | | (9) $false
% 86.67/12.90 | |
% 86.67/12.90 | | CLOSE: (9) is inconsistent.
% 86.67/12.90 | |
% 86.67/12.90 | Case 2:
% 86.67/12.90 | |
% 86.67/12.90 | | (10) all_24_12 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #74.
% 86.67/12.90 | |
% 86.67/12.90 | End of split
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #74 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_24_12 = all_18_3
% 86.67/12.90 (2) all_24_12 = e10
% 86.67/12.90 (3) ~ (all_18_3 = e10)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_3 = e10
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_3 = e10
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #75 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_1 = e12 | all_22_1 = e10
% 86.67/12.90 (2) all_22_1 = all_18_4
% 86.67/12.90 (3) ~ (all_18_4 = e12)
% 86.67/12.90 (4) ~ (all_18_4 = e10)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | BETA: splitting (1) gives:
% 86.67/12.90 |
% 86.67/12.90 | Case 1:
% 86.67/12.90 | |
% 86.67/12.90 | | (5) all_22_1 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | COMBINE_EQS: (2), (5) imply:
% 86.67/12.90 | | (6) all_18_4 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | SIMP: (6) implies:
% 86.67/12.90 | | (7) all_18_4 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | REDUCE: (3), (7) imply:
% 86.67/12.90 | | (8) $false
% 86.67/12.90 | |
% 86.67/12.90 | | CLOSE: (8) is inconsistent.
% 86.67/12.90 | |
% 86.67/12.90 | Case 2:
% 86.67/12.90 | |
% 86.67/12.90 | | (9) all_22_1 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #76.
% 86.67/12.90 | |
% 86.67/12.90 | End of split
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #76 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_22_1 = all_18_4
% 86.67/12.90 (2) all_22_1 = e10
% 86.67/12.90 (3) ~ (all_18_4 = e10)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_4 = e10
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_4 = e10
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #77 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_24_8 = e10 | all_24_14 = e10
% 86.67/12.90 (2) all_24_8 = e13
% 86.67/12.90 (3) all_24_14 = all_18_11
% 86.67/12.90 (4) ~ (all_18_11 = e10)
% 86.67/12.90 (5) ~ (e13 = e10)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | BETA: splitting (1) gives:
% 86.67/12.90 |
% 86.67/12.90 | Case 1:
% 86.67/12.90 | |
% 86.67/12.90 | | (6) all_24_8 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | COMBINE_EQS: (2), (6) imply:
% 86.67/12.90 | | (7) e13 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | SIMP: (7) implies:
% 86.67/12.90 | | (8) e13 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | REDUCE: (5), (8) imply:
% 86.67/12.90 | | (9) $false
% 86.67/12.90 | |
% 86.67/12.90 | | CLOSE: (9) is inconsistent.
% 86.67/12.90 | |
% 86.67/12.90 | Case 2:
% 86.67/12.90 | |
% 86.67/12.90 | | (10) all_24_14 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | COMBINE_EQS: (3), (10) imply:
% 86.67/12.90 | | (11) all_18_11 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | REDUCE: (4), (11) imply:
% 86.67/12.90 | | (12) $false
% 86.67/12.90 | |
% 86.67/12.90 | | CLOSE: (12) is inconsistent.
% 86.67/12.90 | |
% 86.67/12.90 | End of split
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #78 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_24_5 = all_18_9
% 86.67/12.90 (2) all_24_5 = e10
% 86.67/12.90 (3) ~ (all_18_9 = e10)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_9 = e10
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_9 = e10
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #79 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) ~ (e12 = e11)
% 86.67/12.90 (2) ~ (all_18_13 = e12)
% 86.67/12.90 (3) all_24_11 = e11
% 86.67/12.90 (4) op1(e10, unit1) = e10
% 86.67/12.90 (5) op1(e13, e12) = e13
% 86.67/12.90 (6) op1(unit1, e13) = e13
% 86.67/12.90 (7) op1(e13, unit1) = e13
% 86.67/12.90 (8) unit1 = e13 | unit1 = e12 | unit1 = e10
% 86.67/12.90 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.67/12.90 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.67/12.90 (10) all_24_9 = all_18_12
% 86.67/12.90 (11) ~ (all_18_12 = e11)
% 86.67/12.90 (12) op1(unit1, e12) = e12
% 86.67/12.90 (13) ~ (all_18_12 = e13)
% 86.67/12.90 (14) all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 | all_24_15 = e12
% 86.67/12.90 (15) all_24_15 = e10
% 86.67/12.90 (16) op1(e13, e10) = all_18_12
% 86.67/12.90 (17) op1(unit1, e10) = e10
% 86.67/12.90 (18) all_24_10 = all_18_13
% 86.67/12.90 (19) op1(e11, unit1) = e11
% 86.67/12.90 (20) ~ (e11 = e10)
% 86.67/12.90 (21) ~ (e12 = e10)
% 86.67/12.90 (22) op1(e13, e13) = e11
% 86.67/12.90 (23) op1(e11, e12) = e10
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | BETA: splitting (14) gives:
% 86.67/12.90 |
% 86.67/12.90 | Case 1:
% 86.67/12.90 | |
% 86.67/12.90 | | (24) all_24_9 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | COMBINE_EQS: (10), (24) imply:
% 86.67/12.90 | | (25) all_18_12 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | REDUCE: (13), (25) imply:
% 86.67/12.90 | | (26) ~ (e13 = e12)
% 86.67/12.90 | |
% 86.67/12.90 | | SIMP: (26) implies:
% 86.67/12.90 | | (27) ~ (e13 = e12)
% 86.67/12.90 | |
% 86.67/12.90 | | REDUCE: (16), (25) imply:
% 86.67/12.90 | | (28) op1(e13, e10) = e12
% 86.67/12.90 | |
% 86.67/12.90 | | BETA: splitting (8) gives:
% 86.67/12.90 | |
% 86.67/12.90 | | Case 1:
% 86.67/12.90 | | |
% 86.67/12.90 | | | (29) unit1 = e13
% 86.67/12.90 | | |
% 86.67/12.90 | | | REDUCE: (4), (29) imply:
% 86.67/12.90 | | | (30) op1(e10, e13) = e10
% 86.67/12.90 | | |
% 86.67/12.90 | | | REF_CLOSE: (1), (5), (6), (7), (8), (9), (12), (17), (19), (20), (22),
% 86.67/12.90 | | | (23), (28), (30) are inconsistent by sub-proof #83.
% 86.67/12.90 | | |
% 86.67/12.90 | | Case 2:
% 86.67/12.90 | | |
% 86.67/12.90 | | | (31) unit1 = e12 | unit1 = e10
% 86.67/12.90 | | |
% 86.67/12.90 | | | REF_CLOSE: (7), (9), (19), (20), (23), (27), (28), (31) are inconsistent
% 86.67/12.90 | | | by sub-proof #82.
% 86.67/12.90 | | |
% 86.67/12.90 | | End of split
% 86.67/12.90 | |
% 86.67/12.90 | Case 2:
% 86.67/12.90 | |
% 86.67/12.90 | | (32) all_24_10 = e12 | all_24_11 = e12 | all_24_15 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | REF_CLOSE: (1), (2), (3), (15), (18), (21), (32) are inconsistent by
% 86.67/12.90 | | sub-proof #80.
% 86.67/12.90 | |
% 86.67/12.90 | End of split
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #80 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) ~ (e12 = e11)
% 86.67/12.90 (2) ~ (all_18_13 = e12)
% 86.67/12.90 (3) all_24_11 = e11
% 86.67/12.90 (4) all_24_15 = e10
% 86.67/12.90 (5) all_24_10 = all_18_13
% 86.67/12.90 (6) all_24_10 = e12 | all_24_11 = e12 | all_24_15 = e12
% 86.67/12.90 (7) ~ (e12 = e10)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | BETA: splitting (6) gives:
% 86.67/12.90 |
% 86.67/12.90 | Case 1:
% 86.67/12.90 | |
% 86.67/12.90 | | (8) all_24_10 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #81.
% 86.67/12.90 | |
% 86.67/12.90 | Case 2:
% 86.67/12.90 | |
% 86.67/12.90 | | (9) all_24_11 = e12 | all_24_15 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | BETA: splitting (9) gives:
% 86.67/12.90 | |
% 86.67/12.90 | | Case 1:
% 86.67/12.90 | | |
% 86.67/12.90 | | | (10) all_24_11 = e12
% 86.67/12.90 | | |
% 86.67/12.90 | | | COMBINE_EQS: (3), (10) imply:
% 86.67/12.90 | | | (11) e12 = e11
% 86.67/12.90 | | |
% 86.67/12.90 | | | REDUCE: (1), (11) imply:
% 86.67/12.90 | | | (12) $false
% 86.67/12.90 | | |
% 86.67/12.90 | | | CLOSE: (12) is inconsistent.
% 86.67/12.90 | | |
% 86.67/12.90 | | Case 2:
% 86.67/12.90 | | |
% 86.67/12.90 | | | (13) all_24_15 = e12
% 86.67/12.90 | | |
% 86.67/12.90 | | | COMBINE_EQS: (4), (13) imply:
% 86.67/12.90 | | | (14) e12 = e10
% 86.67/12.90 | | |
% 86.67/12.90 | | | REDUCE: (7), (14) imply:
% 86.67/12.90 | | | (15) $false
% 86.67/12.90 | | |
% 86.67/12.90 | | | CLOSE: (15) is inconsistent.
% 86.67/12.90 | | |
% 86.67/12.90 | | End of split
% 86.67/12.90 | |
% 86.67/12.90 | End of split
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #81 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) all_24_10 = all_18_13
% 86.67/12.90 (2) all_24_10 = e12
% 86.67/12.90 (3) ~ (all_18_13 = e12)
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | COMBINE_EQS: (1), (2) imply:
% 86.67/12.90 | (4) all_18_13 = e12
% 86.67/12.90 |
% 86.67/12.90 | SIMP: (4) implies:
% 86.67/12.90 | (5) all_18_13 = e12
% 86.67/12.90 |
% 86.67/12.90 | REDUCE: (3), (5) imply:
% 86.67/12.90 | (6) $false
% 86.67/12.90 |
% 86.67/12.90 | CLOSE: (6) is inconsistent.
% 86.67/12.90 |
% 86.67/12.90 End of proof
% 86.67/12.90
% 86.67/12.90 Sub-proof #82 shows that the following formulas are inconsistent:
% 86.67/12.90 ----------------------------------------------------------------
% 86.67/12.90 (1) ~ (e13 = e12)
% 86.67/12.90 (2) op1(e13, unit1) = e13
% 86.67/12.90 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.67/12.90 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.67/12.90 (4) op1(e13, e10) = e12
% 86.67/12.90 (5) unit1 = e12 | unit1 = e10
% 86.67/12.90 (6) op1(e11, unit1) = e11
% 86.67/12.90 (7) ~ (e11 = e10)
% 86.67/12.90 (8) op1(e11, e12) = e10
% 86.67/12.90
% 86.67/12.90 Begin of proof
% 86.67/12.90 |
% 86.67/12.90 | BETA: splitting (5) gives:
% 86.67/12.90 |
% 86.67/12.90 | Case 1:
% 86.67/12.90 | |
% 86.67/12.90 | | (9) unit1 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | REF_CLOSE: (3), (6), (7), (8), (9) are inconsistent by sub-proof #86.
% 86.67/12.90 | |
% 86.67/12.90 | Case 2:
% 86.67/12.90 | |
% 86.67/12.90 | | (10) unit1 = e10
% 86.67/12.90 | |
% 86.67/12.90 | | REDUCE: (2), (10) imply:
% 86.67/12.90 | | (11) op1(e13, e10) = e13
% 86.67/12.90 | |
% 86.67/12.90 | | GROUND_INST: instantiating (3) with e12, e13, e10, e13, simplifying with
% 86.67/12.90 | | (4), (11) gives:
% 86.67/12.90 | | (12) e13 = e12
% 86.67/12.90 | |
% 86.67/12.90 | | REDUCE: (1), (12) imply:
% 86.67/12.90 | | (13) $false
% 86.67/12.90 | |
% 86.67/12.90 | | CLOSE: (13) is inconsistent.
% 86.67/12.90 | |
% 86.67/12.90 | End of split
% 86.79/12.90 |
% 86.79/12.90 End of proof
% 86.79/12.90
% 86.79/12.90 Sub-proof #83 shows that the following formulas are inconsistent:
% 86.79/12.90 ----------------------------------------------------------------
% 86.79/12.90 (1) ~ (e12 = e11)
% 86.79/12.90 (2) op1(e13, e12) = e13
% 86.79/12.90 (3) op1(unit1, e13) = e13
% 86.79/12.90 (4) op1(e13, unit1) = e13
% 86.79/12.90 (5) unit1 = e13 | unit1 = e12 | unit1 = e10
% 86.79/12.90 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.79/12.90 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.79/12.90 (7) op1(e13, e10) = e12
% 86.79/12.90 (8) op1(unit1, e12) = e12
% 86.79/12.90 (9) op1(e10, e13) = e10
% 86.79/12.90 (10) op1(unit1, e10) = e10
% 86.79/12.90 (11) op1(e11, unit1) = e11
% 86.79/12.90 (12) ~ (e11 = e10)
% 86.79/12.90 (13) op1(e13, e13) = e11
% 86.79/12.90 (14) op1(e11, e12) = e10
% 86.79/12.90
% 86.79/12.90 Begin of proof
% 86.79/12.90 |
% 86.79/12.90 | BETA: splitting (5) gives:
% 86.79/12.90 |
% 86.79/12.90 | Case 1:
% 86.79/12.90 | |
% 86.79/12.90 | | (15) unit1 = e13
% 86.79/12.90 | |
% 86.79/12.90 | | REDUCE: (10), (15) imply:
% 86.79/12.90 | | (16) op1(e13, e10) = e10
% 86.79/12.90 | |
% 86.79/12.90 | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (11), (12), (13), (14), (16) are
% 86.79/12.90 | | inconsistent by sub-proof #84.
% 86.79/12.90 | |
% 86.79/12.90 | Case 2:
% 86.79/12.90 | |
% 86.79/12.90 | | (17) unit1 = e12 | unit1 = e10
% 86.79/12.90 | |
% 86.79/12.90 | | BETA: splitting (17) gives:
% 86.79/12.90 | |
% 86.79/12.90 | | Case 1:
% 86.79/12.90 | | |
% 86.79/12.90 | | | (18) unit1 = e12
% 86.79/12.90 | | |
% 86.79/12.90 | | | REF_CLOSE: (6), (11), (12), (14), (18) are inconsistent by sub-proof #86.
% 86.79/12.90 | | |
% 86.79/12.90 | | Case 2:
% 86.79/12.90 | | |
% 86.79/12.90 | | | (19) unit1 = e10
% 86.79/12.90 | | | (20) ~ (unit1 = e12)
% 86.79/12.90 | | |
% 86.79/12.90 | | | REDUCE: (19), (20) imply:
% 86.79/12.90 | | | (21) ~ (e12 = e10)
% 86.79/12.90 | | |
% 86.79/12.90 | | | SIMP: (21) implies:
% 86.79/12.90 | | | (22) ~ (e12 = e10)
% 86.79/12.90 | | |
% 86.79/12.90 | | | REDUCE: (3), (19) imply:
% 86.79/12.90 | | | (23) op1(e10, e13) = e13
% 86.79/12.90 | | |
% 86.79/12.90 | | | REDUCE: (4), (19) imply:
% 86.79/12.90 | | | (24) op1(e13, e10) = e13
% 86.79/12.90 | | |
% 86.79/12.90 | | | GROUND_INST: instantiating (6) with e10, e13, e13, e10, simplifying with
% 86.79/12.90 | | | (9), (23) gives:
% 86.79/12.90 | | | (25) e13 = e10
% 86.79/12.90 | | |
% 86.79/12.90 | | | GROUND_INST: instantiating (6) with e12, e13, e10, e13, simplifying with
% 86.79/12.90 | | | (7), (24) gives:
% 86.79/12.90 | | | (26) e13 = e12
% 86.79/12.90 | | |
% 86.79/12.90 | | | COMBINE_EQS: (25), (26) imply:
% 86.79/12.90 | | | (27) e12 = e10
% 86.79/12.90 | | |
% 86.79/12.90 | | | REDUCE: (22), (27) imply:
% 86.79/12.90 | | | (28) $false
% 86.79/12.90 | | |
% 86.79/12.90 | | | CLOSE: (28) is inconsistent.
% 86.79/12.90 | | |
% 86.79/12.90 | | End of split
% 86.79/12.90 | |
% 86.79/12.90 | End of split
% 86.79/12.90 |
% 86.79/12.90 End of proof
% 86.79/12.90
% 86.79/12.90 Sub-proof #84 shows that the following formulas are inconsistent:
% 86.79/12.90 ----------------------------------------------------------------
% 86.79/12.90 (1) ~ (e12 = e11)
% 86.79/12.90 (2) op1(e13, e12) = e13
% 86.79/12.90 (3) op1(e13, unit1) = e13
% 86.79/12.90 (4) unit1 = e13 | unit1 = e12 | unit1 = e10
% 86.79/12.90 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.79/12.90 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.79/12.90 (6) op1(unit1, e12) = e12
% 86.79/12.90 (7) op1(e13, e10) = e10
% 86.79/12.90 (8) op1(e11, unit1) = e11
% 86.79/12.90 (9) ~ (e11 = e10)
% 86.79/12.90 (10) op1(e13, e13) = e11
% 86.79/12.90 (11) op1(e11, e12) = e10
% 86.79/12.90
% 86.79/12.90 Begin of proof
% 86.79/12.90 |
% 86.79/12.90 | BETA: splitting (4) gives:
% 86.79/12.90 |
% 86.79/12.90 | Case 1:
% 86.79/12.90 | |
% 86.79/12.90 | | (12) unit1 = e13
% 86.79/12.90 | |
% 86.79/12.90 | | REDUCE: (6), (12) imply:
% 86.79/12.90 | | (13) op1(e13, e12) = e12
% 86.79/12.90 | |
% 86.79/12.90 | | REDUCE: (3), (12) imply:
% 86.79/12.90 | | (14) op1(e13, e13) = e13
% 86.79/12.90 | |
% 86.79/12.90 | | GROUND_INST: instantiating (5) with e13, e12, e12, e13, simplifying with
% 86.79/12.91 | | (2), (13) gives:
% 86.79/12.91 | | (15) e13 = e12
% 86.79/12.91 | |
% 86.79/12.91 | | GROUND_INST: instantiating (5) with e11, e13, e13, e13, simplifying with
% 86.79/12.91 | | (10), (14) gives:
% 86.79/12.91 | | (16) e13 = e11
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (15), (16) imply:
% 86.79/12.91 | | (17) e12 = e11
% 86.79/12.91 | |
% 86.79/12.91 | | SIMP: (17) implies:
% 86.79/12.91 | | (18) e12 = e11
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (1), (18) imply:
% 86.79/12.91 | | (19) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (19) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (20) ~ (unit1 = e13)
% 86.79/12.91 | | (21) unit1 = e12 | unit1 = e10
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (3), (5), (7), (8), (9), (11), (20), (21) are inconsistent by
% 86.79/12.91 | | sub-proof #85.
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #85 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) ~ (unit1 = e13)
% 86.79/12.91 (2) op1(e13, unit1) = e13
% 86.79/12.91 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.79/12.91 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.79/12.91 (4) unit1 = e12 | unit1 = e10
% 86.79/12.91 (5) op1(e13, e10) = e10
% 86.79/12.91 (6) op1(e11, unit1) = e11
% 86.79/12.91 (7) ~ (e11 = e10)
% 86.79/12.91 (8) op1(e11, e12) = e10
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (4) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (9) unit1 = e12
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (3), (6), (7), (8), (9) are inconsistent by sub-proof #86.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (10) unit1 = e10
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (1), (10) imply:
% 86.79/12.91 | | (11) ~ (e13 = e10)
% 86.79/12.91 | |
% 86.79/12.91 | | SIMP: (11) implies:
% 86.79/12.91 | | (12) ~ (e13 = e10)
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (2), (10) imply:
% 86.79/12.91 | | (13) op1(e13, e10) = e13
% 86.79/12.91 | |
% 86.79/12.91 | | GROUND_INST: instantiating (3) with e10, e13, e10, e13, simplifying with
% 86.79/12.91 | | (5), (13) gives:
% 86.79/12.91 | | (14) e13 = e10
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (12), (14) imply:
% 86.79/12.91 | | (15) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (15) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #86 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.79/12.91 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 86.79/12.91 (2) op1(e11, unit1) = e11
% 86.79/12.91 (3) ~ (e11 = e10)
% 86.79/12.91 (4) unit1 = e12
% 86.79/12.91 (5) op1(e11, e12) = e10
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (2), (4) imply:
% 86.79/12.91 | (6) op1(e11, e12) = e11
% 86.79/12.91 |
% 86.79/12.91 | GROUND_INST: instantiating (1) with e10, e11, e12, e11, simplifying with (5),
% 86.79/12.91 | (6) gives:
% 86.79/12.91 | (7) e11 = e10
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (7) imply:
% 86.79/12.91 | (8) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (8) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #87 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_24_0 = e11
% 86.79/12.91 (2) all_24_0 = e10
% 86.79/12.91 (3) ~ (e11 = e10)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) e11 = e10
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) e11 = e10
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #88 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_22_3 = all_18_12
% 86.79/12.91 (2) all_22_3 = e11
% 86.79/12.91 (3) ~ (all_18_12 = e11)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) all_18_12 = e11
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) all_18_12 = e11
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #89 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_26_4 = e22
% 86.79/12.91 (2) all_26_4 = e20
% 86.79/12.91 (3) ~ (e22 = e20)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) e22 = e20
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) e22 = e20
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #90 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) e23 = e20
% 86.79/12.91 (2) e23 = e22
% 86.79/12.91 (3) e22 = e21
% 86.79/12.91 (4) ~ (e21 = e20)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (5) e22 = e20
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (3), (5) imply:
% 86.79/12.91 | (6) e21 = e20
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (4), (6) imply:
% 86.79/12.91 | (7) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (7) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #91 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_26_9 = e23
% 86.79/12.91 (2) all_26_4 = e22 | all_26_9 = e22
% 86.79/12.91 (3) all_26_4 = e21
% 86.79/12.91 (4) ~ (e23 = e22)
% 86.79/12.91 (5) ~ (e22 = e21)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (2) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (6) all_26_4 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (3), (6) imply:
% 86.79/12.91 | | (7) e22 = e21
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (5), (7) imply:
% 86.79/12.91 | | (8) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (8) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (9) all_26_9 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #92.
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #92 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_26_9 = e23
% 86.79/12.91 (2) all_26_9 = e22
% 86.79/12.91 (3) ~ (e23 = e22)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) e23 = e22
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) e23 = e22
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #93 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) op2(unit2, e23) = e23
% 86.79/12.91 (2) ~ (e21 = e20)
% 86.79/12.91 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.79/12.91 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.79/12.91 (4) op2(e23, e22) = e22
% 86.79/12.91 (5) unit2 = e22 | unit2 = e20
% 86.79/12.91 (6) op2(e23, unit2) = e23
% 86.79/12.91 (7) op2(unit2, e22) = e22
% 86.79/12.91 (8) op2(e22, e20) = e22
% 86.79/12.91 (9) op2(e20, e22) = e21
% 86.79/12.91 (10) op2(e22, e23) = e21
% 86.79/12.91 (11) op2(unit2, e20) = e20
% 86.79/12.91 (12) ~ (e22 = e21)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (5) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (13) unit2 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (1), (13) imply:
% 86.79/12.91 | | (14) op2(e22, e23) = e23
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (11), (13) imply:
% 86.79/12.91 | | (15) op2(e22, e20) = e20
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (6), (13) imply:
% 86.79/12.91 | | (16) op2(e23, e22) = e23
% 86.79/12.91 | |
% 86.79/12.91 | | GROUND_INST: instantiating (3) with e22, e20, e20, e22, simplifying with
% 86.79/12.91 | | (8), (15) gives:
% 86.79/12.91 | | (17) e22 = e20
% 86.79/12.91 | |
% 86.79/12.91 | | GROUND_INST: instantiating (3) with e21, e23, e23, e22, simplifying with
% 86.79/12.91 | | (10), (14) gives:
% 86.79/12.91 | | (18) e23 = e21
% 86.79/12.91 | |
% 86.79/12.91 | | GROUND_INST: instantiating (3) with e22, e23, e22, e23, simplifying with
% 86.79/12.91 | | (4), (16) gives:
% 86.79/12.91 | | (19) e23 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (18), (19) imply:
% 86.79/12.91 | | (20) e22 = e21
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (2), (17), (20) are inconsistent by sub-proof #178.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (21) unit2 = e20
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (3), (7), (9), (12), (21) are inconsistent by sub-proof #157.
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #94 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_20_2 = all_16_8
% 86.79/12.91 (2) all_20_2 = e20
% 86.79/12.91 (3) ~ (all_16_8 = e20)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) all_16_8 = e20
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) all_16_8 = e20
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #95 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_20_3 = e22 | all_20_3 = e20
% 86.79/12.91 (2) all_20_3 = all_8_0
% 86.79/12.91 (3) ~ (all_8_0 = e22)
% 86.79/12.91 (4) ~ (all_8_0 = e20)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (1) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (5) all_20_3 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (2), (5) imply:
% 86.79/12.91 | | (6) all_8_0 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | SIMP: (6) implies:
% 86.79/12.91 | | (7) all_8_0 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (3), (7) imply:
% 86.79/12.91 | | (8) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (8) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (9) all_20_3 = e20
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #100.
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #96 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_20_2 = all_16_8
% 86.79/12.91 (2) all_20_2 = e23
% 86.79/12.91 (3) ~ (all_16_8 = e23)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) all_16_8 = e23
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) all_16_8 = e23
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #97 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_20_2 = all_16_8
% 86.79/12.91 (2) all_20_2 = e21
% 86.79/12.91 (3) ~ (all_16_8 = e21)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) all_16_8 = e21
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) all_16_8 = e21
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #98 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_26_8 = e23
% 86.79/12.91 (2) ~ (all_16_11 = e21)
% 86.79/12.91 (3) ~ (e23 = e21)
% 86.79/12.91 (4) all_26_14 = all_16_11
% 86.79/12.91 (5) all_26_8 = e21 | all_26_14 = e21
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (5) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (6) all_26_8 = e21
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (1), (6) imply:
% 86.79/12.91 | | (7) e23 = e21
% 86.79/12.91 | |
% 86.79/12.91 | | SIMP: (7) implies:
% 86.79/12.91 | | (8) e23 = e21
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (3), (8) imply:
% 86.79/12.91 | | (9) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (9) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (10) all_26_14 = e21
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (2), (4), (10) are inconsistent by sub-proof #149.
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #99 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_26_5 = all_16_9
% 86.79/12.91 (2) all_26_5 = e21
% 86.79/12.91 (3) ~ (all_16_9 = e21)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) all_16_9 = e21
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) all_16_9 = e21
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #100 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_20_3 = all_8_0
% 86.79/12.91 (2) all_20_3 = e20
% 86.79/12.91 (3) ~ (all_8_0 = e20)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) all_8_0 = e20
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) all_8_0 = e20
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #101 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) ~ (all_16_13 = e23)
% 86.79/12.91 (2) all_26_2 = e23 | all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 86.79/12.91 (3) ~ (all_6_1 = e23)
% 86.79/12.91 (4) ~ (e23 = e21)
% 86.79/12.91 (5) all_26_5 = e20
% 86.79/12.91 (6) all_26_3 = all_6_1
% 86.79/12.91 (7) all_26_10 = all_16_13
% 86.79/12.91 (8) all_26_2 = e21
% 86.79/12.91 (9) ~ (e23 = e20)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (2) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (10) all_26_2 = e23
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (8), (10) imply:
% 86.79/12.91 | | (11) e23 = e21
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (4), (11) imply:
% 86.79/12.91 | | (12) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (12) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (13) all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 86.79/12.91 | |
% 86.79/12.91 | | BETA: splitting (13) gives:
% 86.79/12.91 | |
% 86.79/12.91 | | Case 1:
% 86.79/12.91 | | |
% 86.79/12.91 | | | (14) all_26_3 = e23
% 86.79/12.91 | | |
% 86.79/12.91 | | | REF_CLOSE: (3), (6), (14) are inconsistent by sub-proof #102.
% 86.79/12.91 | | |
% 86.79/12.91 | | Case 2:
% 86.79/12.91 | | |
% 86.79/12.91 | | | (15) all_26_5 = e23 | all_26_10 = e23
% 86.79/12.91 | | |
% 86.79/12.91 | | | BETA: splitting (15) gives:
% 86.79/12.91 | | |
% 86.79/12.91 | | | Case 1:
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | (16) all_26_5 = e23
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | COMBINE_EQS: (5), (16) imply:
% 86.79/12.91 | | | | (17) e23 = e20
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | REDUCE: (9), (17) imply:
% 86.79/12.91 | | | | (18) $false
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | CLOSE: (18) is inconsistent.
% 86.79/12.91 | | | |
% 86.79/12.91 | | | Case 2:
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | (19) all_26_10 = e23
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | COMBINE_EQS: (7), (19) imply:
% 86.79/12.91 | | | | (20) all_16_13 = e23
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | REDUCE: (1), (20) imply:
% 86.79/12.91 | | | | (21) $false
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | CLOSE: (21) is inconsistent.
% 86.79/12.91 | | | |
% 86.79/12.91 | | | End of split
% 86.79/12.91 | | |
% 86.79/12.91 | | End of split
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #102 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_26_3 = all_6_1
% 86.79/12.91 (2) all_26_3 = e23
% 86.79/12.91 (3) ~ (all_6_1 = e23)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) all_6_1 = e23
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) all_6_1 = e23
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #103 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) ~ (all_16_7 = e20)
% 86.79/12.91 (2) ~ (all_16_7 = e23)
% 86.79/12.91 (3) ~ (all_16_7 = e22)
% 86.79/12.91 (4) all_20_13 = all_16_7
% 86.79/12.91 (5) all_20_13 = e23 | all_20_13 = e22 | all_20_13 = e20
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (5) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (6) all_20_13 = e23
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (4), (6) imply:
% 86.79/12.91 | | (7) all_16_7 = e23
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (2), (7) imply:
% 86.79/12.91 | | (8) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (8) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (9) all_20_13 = e22 | all_20_13 = e20
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #106.
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #104 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_26_0 = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20
% 86.79/12.91 (2) ~ (all_16_1 = e21)
% 86.79/12.91 (3) ~ (e21 = e20)
% 86.79/12.91 (4) ~ (e23 = e21)
% 86.79/12.91 (5) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 86.79/12.91 (6) all_26_0 = e23
% 86.79/12.91 (7) all_26_6 = e22
% 86.79/12.91 (8) ~ (all_16_1 = e20)
% 86.79/12.91 (9) ~ (e22 = e21)
% 86.79/12.91 (10) ~ (e22 = e20)
% 86.79/12.91 (11) ~ (e23 = e20)
% 86.79/12.91 (12) all_26_2 = all_16_1
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (1) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (13) all_26_0 = e20
% 86.79/12.91 | |
% 86.79/12.91 | | REF_CLOSE: (6), (11), (13) are inconsistent by sub-proof #105.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (14) all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20
% 86.79/12.91 | |
% 86.79/12.91 | | BETA: splitting (14) gives:
% 86.79/12.91 | |
% 86.79/12.91 | | Case 1:
% 86.79/12.91 | | |
% 86.79/12.91 | | | (15) all_26_2 = e20
% 86.79/12.91 | | |
% 86.79/12.91 | | | COMBINE_EQS: (12), (15) imply:
% 86.79/12.91 | | | (16) all_16_1 = e20
% 86.79/12.91 | | |
% 86.79/12.91 | | | SIMP: (16) implies:
% 86.79/12.91 | | | (17) all_16_1 = e20
% 86.79/12.91 | | |
% 86.79/12.91 | | | REDUCE: (8), (17) imply:
% 86.79/12.91 | | | (18) $false
% 86.79/12.91 | | |
% 86.79/12.91 | | | CLOSE: (18) is inconsistent.
% 86.79/12.91 | | |
% 86.79/12.91 | | Case 2:
% 86.79/12.91 | | |
% 86.79/12.91 | | | (19) all_26_6 = e20 | all_26_12 = e20
% 86.79/12.91 | | |
% 86.79/12.91 | | | BETA: splitting (19) gives:
% 86.79/12.91 | | |
% 86.79/12.91 | | | Case 1:
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | (20) all_26_6 = e20
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | REF_CLOSE: (7), (10), (20) are inconsistent by sub-proof #145.
% 86.79/12.91 | | | |
% 86.79/12.91 | | | Case 2:
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | (21) all_26_12 = e20
% 86.79/12.91 | | | |
% 86.79/12.91 | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (12), (21) are
% 86.79/12.91 | | | | inconsistent by sub-proof #138.
% 86.79/12.91 | | | |
% 86.79/12.91 | | | End of split
% 86.79/12.91 | | |
% 86.79/12.91 | | End of split
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #105 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_26_0 = e23
% 86.79/12.91 (2) all_26_0 = e20
% 86.79/12.91 (3) ~ (e23 = e20)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.91 | (4) e23 = e20
% 86.79/12.91 |
% 86.79/12.91 | SIMP: (4) implies:
% 86.79/12.91 | (5) e23 = e20
% 86.79/12.91 |
% 86.79/12.91 | REDUCE: (3), (5) imply:
% 86.79/12.91 | (6) $false
% 86.79/12.91 |
% 86.79/12.91 | CLOSE: (6) is inconsistent.
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #106 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) all_20_13 = e22 | all_20_13 = e20
% 86.79/12.91 (2) all_20_13 = all_16_7
% 86.79/12.91 (3) ~ (all_16_7 = e22)
% 86.79/12.91 (4) ~ (all_16_7 = e20)
% 86.79/12.91
% 86.79/12.91 Begin of proof
% 86.79/12.91 |
% 86.79/12.91 | BETA: splitting (1) gives:
% 86.79/12.91 |
% 86.79/12.91 | Case 1:
% 86.79/12.91 | |
% 86.79/12.91 | | (5) all_20_13 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (2), (5) imply:
% 86.79/12.91 | | (6) all_16_7 = e22
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (3), (6) imply:
% 86.79/12.91 | | (7) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (7) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | Case 2:
% 86.79/12.91 | |
% 86.79/12.91 | | (8) all_20_13 = e20
% 86.79/12.91 | |
% 86.79/12.91 | | COMBINE_EQS: (2), (8) imply:
% 86.79/12.91 | | (9) all_16_7 = e20
% 86.79/12.91 | |
% 86.79/12.91 | | REDUCE: (4), (9) imply:
% 86.79/12.91 | | (10) $false
% 86.79/12.91 | |
% 86.79/12.91 | | CLOSE: (10) is inconsistent.
% 86.79/12.91 | |
% 86.79/12.91 | End of split
% 86.79/12.91 |
% 86.79/12.91 End of proof
% 86.79/12.91
% 86.79/12.91 Sub-proof #107 shows that the following formulas are inconsistent:
% 86.79/12.91 ----------------------------------------------------------------
% 86.79/12.91 (1) op2(unit2, e23) = e23
% 86.79/12.91 (2) ~ (e21 = e20)
% 86.79/12.92 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.79/12.92 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.79/12.92 (4) op2(e20, e23) = e21
% 86.79/12.92 (5) op2(e23, e20) = e23
% 86.79/12.92 (6) op2(e21, e22) = e20
% 86.79/12.92 (7) ~ (all_16_7 = e20)
% 86.79/12.92 (8) all_16_7 = e23
% 86.79/12.92 (9) op2(e20, e22) = all_16_7
% 86.79/12.92 (10) op2(unit2, e22) = e22
% 86.79/12.92 (11) op2(e21, unit2) = e21
% 86.79/12.92 (12) unit2 = e23 | unit2 = e22 | unit2 = e20
% 86.79/12.92 (13) op2(unit2, e20) = e20
% 86.79/12.92 (14) ~ (e22 = e21)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (8) implies:
% 86.79/12.92 | (15) all_16_7 = e23
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (7), (15) imply:
% 86.79/12.92 | (16) ~ (e23 = e20)
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (9), (15) imply:
% 86.79/12.92 | (17) op2(e20, e22) = e23
% 86.79/12.92 |
% 86.79/12.92 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10), (11), (12), (13), (14), (16),
% 86.79/12.92 | (17) are inconsistent by sub-proof #108.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #108 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) op2(e20, e22) = e23
% 86.79/12.92 (2) op2(unit2, e23) = e23
% 86.79/12.92 (3) ~ (e21 = e20)
% 86.79/12.92 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.79/12.92 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.79/12.92 (5) op2(e20, e23) = e21
% 86.79/12.92 (6) op2(e23, e20) = e23
% 86.79/12.92 (7) op2(e21, e22) = e20
% 86.79/12.92 (8) op2(unit2, e22) = e22
% 86.79/12.92 (9) op2(e21, unit2) = e21
% 86.79/12.92 (10) unit2 = e23 | unit2 = e22 | unit2 = e20
% 86.79/12.92 (11) op2(unit2, e20) = e20
% 86.79/12.92 (12) ~ (e22 = e21)
% 86.79/12.92 (13) ~ (e23 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | BETA: splitting (10) gives:
% 86.79/12.92 |
% 86.79/12.92 | Case 1:
% 86.79/12.92 | |
% 86.79/12.92 | | (14) unit2 = e23
% 86.79/12.92 | |
% 86.79/12.92 | | REF_CLOSE: (4), (6), (11), (13), (14) are inconsistent by sub-proof #118.
% 86.79/12.92 | |
% 86.79/12.92 | Case 2:
% 86.79/12.92 | |
% 86.79/12.92 | | (15) unit2 = e22 | unit2 = e20
% 86.79/12.92 | |
% 86.79/12.92 | | BETA: splitting (15) gives:
% 86.79/12.92 | |
% 86.79/12.92 | | Case 1:
% 86.79/12.92 | | |
% 86.79/12.92 | | | (16) unit2 = e22
% 86.79/12.92 | | |
% 86.79/12.92 | | | REF_CLOSE: (3), (4), (7), (9), (16) are inconsistent by sub-proof #171.
% 86.79/12.92 | | |
% 86.79/12.92 | | Case 2:
% 86.79/12.92 | | |
% 86.79/12.92 | | | (17) unit2 = e20
% 86.79/12.92 | | |
% 86.79/12.92 | | | REDUCE: (2), (17) imply:
% 86.79/12.92 | | | (18) op2(e20, e23) = e23
% 86.79/12.92 | | |
% 86.79/12.92 | | | REDUCE: (8), (17) imply:
% 86.79/12.92 | | | (19) op2(e20, e22) = e22
% 86.79/12.92 | | |
% 86.79/12.92 | | | GROUND_INST: instantiating (4) with e23, e22, e22, e20, simplifying with
% 86.79/12.92 | | | (1), (19) gives:
% 86.79/12.92 | | | (20) e23 = e22
% 86.79/12.92 | | |
% 86.79/12.92 | | | GROUND_INST: instantiating (4) with e21, e23, e23, e20, simplifying with
% 86.79/12.92 | | | (5), (18) gives:
% 86.79/12.92 | | | (21) e23 = e21
% 86.79/12.92 | | |
% 86.79/12.92 | | | REF_CLOSE: (12), (20), (21) are inconsistent by sub-proof #112.
% 86.79/12.92 | | |
% 86.79/12.92 | | End of split
% 86.79/12.92 | |
% 86.79/12.92 | End of split
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #109 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_7 = e21 | all_26_13 = e21
% 86.79/12.92 (2) all_26_13 = all_16_7
% 86.79/12.92 (3) ~ (e21 = e20)
% 86.79/12.92 (4) ~ (all_16_7 = e21)
% 86.79/12.92 (5) all_26_7 = e20
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | BETA: splitting (1) gives:
% 86.79/12.92 |
% 86.79/12.92 | Case 1:
% 86.79/12.92 | |
% 86.79/12.92 | | (6) all_26_7 = e21
% 86.79/12.92 | |
% 86.79/12.92 | | COMBINE_EQS: (5), (6) imply:
% 86.79/12.92 | | (7) e21 = e20
% 86.79/12.92 | |
% 86.79/12.92 | | REDUCE: (3), (7) imply:
% 86.79/12.92 | | (8) $false
% 86.79/12.92 | |
% 86.79/12.92 | | CLOSE: (8) is inconsistent.
% 86.79/12.92 | |
% 86.79/12.92 | Case 2:
% 86.79/12.92 | |
% 86.79/12.92 | | (9) all_26_13 = e21
% 86.79/12.92 | |
% 86.79/12.92 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #122.
% 86.79/12.92 | |
% 86.79/12.92 | End of split
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #110 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_15 = all_4_1
% 86.79/12.92 (2) all_26_15 = e21
% 86.79/12.92 (3) ~ (all_4_1 = e21)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_4_1 = e21
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_4_1 = e21
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #111 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_13 = all_16_7
% 86.79/12.92 (2) all_26_13 = e20
% 86.79/12.92 (3) ~ (all_16_7 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_16_7 = e20
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_16_7 = e20
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #112 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) e23 = e22
% 86.79/12.92 (2) e23 = e21
% 86.79/12.92 (3) ~ (e22 = e21)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) e22 = e21
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) e22 = e21
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #113 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_20_3 = all_16_12
% 86.79/12.92 (2) all_20_3 = e22
% 86.79/12.92 (3) ~ (all_16_12 = e22)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_16_12 = e22
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_16_12 = e22
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #114 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_20_2 = all_8_0
% 86.79/12.92 (2) all_20_2 = e23
% 86.79/12.92 (3) ~ (all_8_0 = e23)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_8_0 = e23
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_8_0 = e23
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #115 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_8 = e23
% 86.79/12.92 (2) ~ (e21 = e20)
% 86.79/12.92 (3) all_26_14 = e21
% 86.79/12.92 (4) all_26_8 = e20 | all_26_14 = e20
% 86.79/12.92 (5) ~ (e23 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | BETA: splitting (4) gives:
% 86.79/12.92 |
% 86.79/12.92 | Case 1:
% 86.79/12.92 | |
% 86.79/12.92 | | (6) all_26_8 = e20
% 86.79/12.92 | |
% 86.79/12.92 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #147.
% 86.79/12.92 | |
% 86.79/12.92 | Case 2:
% 86.79/12.92 | |
% 86.79/12.92 | | (7) all_26_14 = e20
% 86.79/12.92 | |
% 86.79/12.92 | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #116.
% 86.79/12.92 | |
% 86.79/12.92 | End of split
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #116 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_14 = e21
% 86.79/12.92 (2) all_26_14 = e20
% 86.79/12.92 (3) ~ (e21 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) e21 = e20
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) e21 = e20
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #117 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) e23 = e22
% 86.79/12.92 (2) e23 = e20
% 86.79/12.92 (3) ~ (e22 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) e22 = e20
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) e22 = e20
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #118 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.79/12.92 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.79/12.92 (2) op2(e23, e20) = e23
% 86.79/12.92 (3) unit2 = e23
% 86.79/12.92 (4) op2(unit2, e20) = e20
% 86.79/12.92 (5) ~ (e23 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (4) imply:
% 86.79/12.92 | (6) op2(e23, e20) = e20
% 86.79/12.92 |
% 86.79/12.92 | GROUND_INST: instantiating (1) with e20, e23, e20, e23, simplifying with (2),
% 86.79/12.92 | (6) gives:
% 86.79/12.92 | (7) e23 = e20
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (5), (7) imply:
% 86.79/12.92 | (8) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (8) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #119 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_20_15 = all_4_1
% 86.79/12.92 (2) all_20_15 = e23
% 86.79/12.92 (3) ~ (all_4_1 = e23)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_4_1 = e23
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_4_1 = e23
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #120 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_20_3 = all_16_12
% 86.79/12.92 (2) all_20_3 = e21
% 86.79/12.92 (3) ~ (all_16_12 = e21)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_16_12 = e21
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_16_12 = e21
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #121 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_20_7 = all_16_13
% 86.79/12.92 (2) all_20_7 = e21
% 86.79/12.92 (3) ~ (all_16_13 = e21)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_16_13 = e21
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_16_13 = e21
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #122 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_13 = all_16_7
% 86.79/12.92 (2) all_26_13 = e21
% 86.79/12.92 (3) ~ (all_16_7 = e21)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_16_7 = e21
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_16_7 = e21
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #123 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_10 = all_16_13
% 86.79/12.92 (2) all_26_10 = e21
% 86.79/12.92 (3) ~ (all_16_13 = e21)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_16_13 = e21
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) all_16_13 = e21
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #124 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_11 = e21
% 86.79/12.92 (2) all_26_11 = e20
% 86.79/12.92 (3) ~ (e21 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) e21 = e20
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) e21 = e20
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #125 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_14 = e20
% 86.79/12.92 (2) all_26_8 = e23
% 86.79/12.92 (3) all_26_8 = e22 | all_26_14 = e22
% 86.79/12.92 (4) ~ (e23 = e22)
% 86.79/12.92 (5) ~ (e22 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | BETA: splitting (3) gives:
% 86.79/12.92 |
% 86.79/12.92 | Case 1:
% 86.79/12.92 | |
% 86.79/12.92 | | (6) all_26_8 = e22
% 86.79/12.92 | |
% 86.79/12.92 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #126.
% 86.79/12.92 | |
% 86.79/12.92 | Case 2:
% 86.79/12.92 | |
% 86.79/12.92 | | (7) all_26_14 = e22
% 86.79/12.92 | |
% 86.79/12.92 | | COMBINE_EQS: (1), (7) imply:
% 86.79/12.92 | | (8) e22 = e20
% 86.79/12.92 | |
% 86.79/12.92 | | REDUCE: (5), (8) imply:
% 86.79/12.92 | | (9) $false
% 86.79/12.92 | |
% 86.79/12.92 | | CLOSE: (9) is inconsistent.
% 86.79/12.92 | |
% 86.79/12.92 | End of split
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #126 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_8 = e23
% 86.79/12.92 (2) all_26_8 = e22
% 86.79/12.92 (3) ~ (e23 = e22)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) e23 = e22
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) e23 = e22
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #127 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_13 = e21
% 86.79/12.92 (2) all_26_13 = e20
% 86.79/12.92 (3) ~ (e21 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) e21 = e20
% 86.79/12.92 |
% 86.79/12.92 | SIMP: (4) implies:
% 86.79/12.92 | (5) e21 = e20
% 86.79/12.92 |
% 86.79/12.92 | REDUCE: (3), (5) imply:
% 86.79/12.92 | (6) $false
% 86.79/12.92 |
% 86.79/12.92 | CLOSE: (6) is inconsistent.
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #128 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_26_13 = e21
% 86.79/12.92 (2) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 86.79/12.92 (3) ~ (all_6_1 = e22)
% 86.79/12.92 (4) all_26_3 = all_6_1
% 86.79/12.92 (5) all_26_7 = e20
% 86.79/12.92 (6) ~ (e22 = e21)
% 86.79/12.92 (7) ~ (e22 = e20)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | BETA: splitting (2) gives:
% 86.79/12.92 |
% 86.79/12.92 | Case 1:
% 86.79/12.92 | |
% 86.79/12.92 | | (8) all_26_3 = e22
% 86.79/12.92 | |
% 86.79/12.92 | | COMBINE_EQS: (4), (8) imply:
% 86.79/12.92 | | (9) all_6_1 = e22
% 86.79/12.92 | |
% 86.79/12.92 | | SIMP: (9) implies:
% 86.79/12.92 | | (10) all_6_1 = e22
% 86.79/12.92 | |
% 86.79/12.92 | | REDUCE: (3), (10) imply:
% 86.79/12.92 | | (11) $false
% 86.79/12.92 | |
% 86.79/12.92 | | CLOSE: (11) is inconsistent.
% 86.79/12.92 | |
% 86.79/12.92 | Case 2:
% 86.79/12.92 | |
% 86.79/12.92 | | (12) all_26_7 = e22 | all_26_13 = e22
% 86.79/12.92 | |
% 86.79/12.92 | | REF_CLOSE: (1), (5), (6), (7), (12) are inconsistent by sub-proof #158.
% 86.79/12.92 | |
% 86.79/12.92 | End of split
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #129 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_20_5 = all_6_1
% 86.79/12.92 (2) ~ (all_6_1 = e20)
% 86.79/12.92 (3) ~ (all_6_1 = e23)
% 86.79/12.92 (4) all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e20
% 86.79/12.92 (5) ~ (all_6_1 = e22)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | BETA: splitting (4) gives:
% 86.79/12.92 |
% 86.79/12.92 | Case 1:
% 86.79/12.92 | |
% 86.79/12.92 | | (6) all_20_5 = e23
% 86.79/12.92 | |
% 86.79/12.92 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #130.
% 86.79/12.92 | |
% 86.79/12.92 | Case 2:
% 86.79/12.92 | |
% 86.79/12.92 | | (7) all_20_5 = e22 | all_20_5 = e20
% 86.79/12.92 | |
% 86.79/12.92 | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #151.
% 86.79/12.92 | |
% 86.79/12.92 | End of split
% 86.79/12.92 |
% 86.79/12.92 End of proof
% 86.79/12.92
% 86.79/12.92 Sub-proof #130 shows that the following formulas are inconsistent:
% 86.79/12.92 ----------------------------------------------------------------
% 86.79/12.92 (1) all_20_5 = all_6_1
% 86.79/12.92 (2) all_20_5 = e23
% 86.79/12.92 (3) ~ (all_6_1 = e23)
% 86.79/12.92
% 86.79/12.92 Begin of proof
% 86.79/12.92 |
% 86.79/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.79/12.92 | (4) all_6_1 = e23
% 86.88/12.92 |
% 86.88/12.92 | SIMP: (4) implies:
% 86.88/12.92 | (5) all_6_1 = e23
% 86.88/12.92 |
% 86.88/12.92 | REDUCE: (3), (5) imply:
% 86.88/12.92 | (6) $false
% 86.88/12.92 |
% 86.88/12.92 | CLOSE: (6) is inconsistent.
% 86.88/12.92 |
% 86.88/12.92 End of proof
% 86.88/12.92
% 86.88/12.92 Sub-proof #131 shows that the following formulas are inconsistent:
% 86.88/12.92 ----------------------------------------------------------------
% 86.88/12.92 (1) ~ (all_16_1 = e23)
% 86.88/12.92 (2) ~ (all_16_1 = e22)
% 86.88/12.92 (3) ~ (all_16_1 = e20)
% 86.88/12.92 (4) all_20_4 = e23 | all_20_4 = e22 | all_20_4 = e20
% 86.88/12.92 (5) all_20_4 = all_16_1
% 86.88/12.92
% 86.88/12.92 Begin of proof
% 86.88/12.92 |
% 86.88/12.92 | BETA: splitting (4) gives:
% 86.88/12.92 |
% 86.88/12.92 | Case 1:
% 86.88/12.92 | |
% 86.88/12.92 | | (6) all_20_4 = e23
% 86.88/12.92 | |
% 86.88/12.92 | | COMBINE_EQS: (5), (6) imply:
% 86.88/12.92 | | (7) all_16_1 = e23
% 86.88/12.92 | |
% 86.88/12.92 | | REDUCE: (1), (7) imply:
% 86.88/12.92 | | (8) $false
% 86.88/12.92 | |
% 86.88/12.92 | | CLOSE: (8) is inconsistent.
% 86.88/12.92 | |
% 86.88/12.92 | Case 2:
% 86.88/12.92 | |
% 86.88/12.92 | | (9) all_20_4 = e22 | all_20_4 = e20
% 86.88/12.92 | |
% 86.88/12.92 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #132.
% 86.88/12.92 | |
% 86.88/12.92 | End of split
% 86.88/12.92 |
% 86.88/12.92 End of proof
% 86.88/12.92
% 86.88/12.92 Sub-proof #132 shows that the following formulas are inconsistent:
% 86.88/12.92 ----------------------------------------------------------------
% 86.88/12.92 (1) all_20_4 = e22 | all_20_4 = e20
% 86.88/12.92 (2) all_20_4 = all_16_1
% 86.88/12.92 (3) ~ (all_16_1 = e22)
% 86.88/12.92 (4) ~ (all_16_1 = e20)
% 86.88/12.92
% 86.88/12.92 Begin of proof
% 86.88/12.92 |
% 86.88/12.92 | BETA: splitting (1) gives:
% 86.88/12.92 |
% 86.88/12.92 | Case 1:
% 86.88/12.92 | |
% 86.88/12.92 | | (5) all_20_4 = e22
% 86.88/12.92 | |
% 86.88/12.92 | | COMBINE_EQS: (2), (5) imply:
% 86.88/12.92 | | (6) all_16_1 = e22
% 86.88/12.92 | |
% 86.88/12.92 | | REDUCE: (3), (6) imply:
% 86.88/12.92 | | (7) $false
% 86.88/12.92 | |
% 86.88/12.92 | | CLOSE: (7) is inconsistent.
% 86.88/12.92 | |
% 86.88/12.92 | Case 2:
% 86.88/12.92 | |
% 86.88/12.92 | | (8) all_20_4 = e20
% 86.88/12.92 | |
% 86.88/12.92 | | COMBINE_EQS: (2), (8) imply:
% 86.88/12.92 | | (9) all_16_1 = e20
% 86.88/12.92 | |
% 86.88/12.92 | | REDUCE: (4), (9) imply:
% 86.88/12.92 | | (10) $false
% 86.88/12.92 | |
% 86.88/12.92 | | CLOSE: (10) is inconsistent.
% 86.88/12.92 | |
% 86.88/12.92 | End of split
% 86.88/12.92 |
% 86.88/12.92 End of proof
% 86.88/12.92
% 86.88/12.92 Sub-proof #133 shows that the following formulas are inconsistent:
% 86.88/12.92 ----------------------------------------------------------------
% 86.88/12.92 (1) all_20_3 = e22 | all_20_3 = e20
% 86.88/12.92 (2) all_20_3 = all_16_12
% 86.88/12.92 (3) ~ (all_16_12 = e22)
% 86.88/12.92 (4) ~ (all_16_12 = e20)
% 86.88/12.92
% 86.88/12.92 Begin of proof
% 86.88/12.92 |
% 86.88/12.92 | BETA: splitting (1) gives:
% 86.88/12.92 |
% 86.88/12.92 | Case 1:
% 86.88/12.92 | |
% 86.88/12.92 | | (5) all_20_3 = e22
% 86.88/12.92 | |
% 86.88/12.92 | | COMBINE_EQS: (2), (5) imply:
% 86.88/12.92 | | (6) all_16_12 = e22
% 86.88/12.92 | |
% 86.88/12.92 | | REDUCE: (3), (6) imply:
% 86.88/12.92 | | (7) $false
% 86.88/12.92 | |
% 86.88/12.92 | | CLOSE: (7) is inconsistent.
% 86.88/12.92 | |
% 86.88/12.92 | Case 2:
% 86.88/12.92 | |
% 86.88/12.92 | | (8) all_20_3 = e20
% 86.88/12.92 | |
% 86.88/12.92 | | COMBINE_EQS: (2), (8) imply:
% 86.88/12.92 | | (9) all_16_12 = e20
% 86.88/12.92 | |
% 86.88/12.92 | | REDUCE: (4), (9) imply:
% 86.88/12.92 | | (10) $false
% 86.88/12.92 | |
% 86.88/12.92 | | CLOSE: (10) is inconsistent.
% 86.88/12.92 | |
% 86.88/12.92 | End of split
% 86.88/12.92 |
% 86.88/12.92 End of proof
% 86.88/12.92
% 86.88/12.92 Sub-proof #134 shows that the following formulas are inconsistent:
% 86.88/12.92 ----------------------------------------------------------------
% 86.88/12.92 (1) all_20_3 = all_16_12
% 86.88/12.92 (2) all_20_3 = e23
% 86.88/12.92 (3) ~ (all_16_12 = e23)
% 86.88/12.92
% 86.88/12.92 Begin of proof
% 86.88/12.92 |
% 86.88/12.92 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.92 | (4) all_16_12 = e23
% 86.88/12.92 |
% 86.88/12.92 | SIMP: (4) implies:
% 86.88/12.92 | (5) all_16_12 = e23
% 86.88/12.92 |
% 86.88/12.92 | REDUCE: (3), (5) imply:
% 86.88/12.92 | (6) $false
% 86.88/12.92 |
% 86.88/12.92 | CLOSE: (6) is inconsistent.
% 86.88/12.92 |
% 86.88/12.92 End of proof
% 86.88/12.92
% 86.88/12.92 Sub-proof #135 shows that the following formulas are inconsistent:
% 86.88/12.92 ----------------------------------------------------------------
% 86.88/12.92 (1) ~ (all_26_1 = e23)
% 86.88/12.92 (2) all_20_1 = e23 | all_20_1 = e22 | all_20_1 = e20
% 86.88/12.92 (3) all_26_1 = all_16_4
% 86.88/12.92 (4) ~ (all_16_4 = e20)
% 86.88/12.92 (5) all_20_1 = all_16_4
% 86.88/12.92 (6) ~ (all_16_4 = e22)
% 86.88/12.92
% 86.88/12.92 Begin of proof
% 86.88/12.92 |
% 86.88/12.92 | REDUCE: (1), (3) imply:
% 86.88/12.93 | (7) ~ (all_16_4 = e23)
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (2) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (8) all_20_1 = e23
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (5), (8) imply:
% 86.88/12.93 | | (9) all_16_4 = e23
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (7), (9) imply:
% 86.88/12.93 | | (10) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (10) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (11) all_20_1 = e22 | all_20_1 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REF_CLOSE: (4), (5), (6), (11) are inconsistent by sub-proof #136.
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #136 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_20_1 = e22 | all_20_1 = e20
% 86.88/12.93 (2) all_20_1 = all_16_4
% 86.88/12.93 (3) ~ (all_16_4 = e22)
% 86.88/12.93 (4) ~ (all_16_4 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (1) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (5) all_20_1 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (2), (5) imply:
% 86.88/12.93 | | (6) all_16_4 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | SIMP: (6) implies:
% 86.88/12.93 | | (7) all_16_4 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (3), (7) imply:
% 86.88/12.93 | | (8) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (8) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (9) all_20_1 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #150.
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #137 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) op2(all_4_0, e20) = all_28_126
% 86.88/12.93 (2) op2(e20, e23) = all_4_0
% 86.88/12.93 (3) op2(e23, all_4_0) = all_28_111
% 86.88/12.93 (4) op2(e23, e22) = e23
% 86.88/12.93 (5) op2(e20, e20) = e23
% 86.88/12.93 (6) ~ (e21 = e20)
% 86.88/12.93 (7) op2(e23, e20) = all_8_2
% 86.88/12.93 (8) op2(e23, e20) = e22
% 86.88/12.93 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.88/12.93 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.88/12.93 (10) op2(all_4_2, e23) = all_28_144
% 86.88/12.93 (11) op2(all_4_2, e20) = all_28_152
% 86.88/12.93 (12) op2(all_4_2, all_4_2) = all_28_156
% 86.88/12.93 (13) op2(e21, e22) = e20
% 86.88/12.93 (14) op2(e23, all_4_2) = all_28_117
% 86.88/12.93 (15) op2(e20, all_4_0) = all_4_2
% 86.88/12.93 (16) op2(e23, all_8_2) = all_28_22
% 86.88/12.93 (17) op2(e20, e23) = all_28_12
% 86.88/12.93 (18) op2(e21, all_8_2) = all_28_6
% 86.88/12.93 (19) op2(e23, unit2) = e23
% 86.88/12.93 (20) op2(all_4_0, all_4_0) = all_28_123
% 86.88/12.93 (21) op2(unit2, e22) = e22
% 86.88/12.93 (22) op2(e23, e23) = e21
% 86.88/12.93 (23) op2(e21, unit2) = e21
% 86.88/12.93 (24) op2(e20, e20) = all_28_10
% 86.88/12.93 (25) ~ (e23 = e22)
% 86.88/12.93 (26) unit2 = e23 | unit2 = e22 | unit2 = e20
% 86.88/12.93 (27) op2(e20, e23) = e20
% 86.88/12.93 (28) op2(e23, e20) = all_28_114
% 86.88/12.93 (29) op2(unit2, e20) = e20
% 86.88/12.93 (30) op2(e23, e23) = all_28_108
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e23, all_28_10, e20, e20, simplifying with
% 86.88/12.93 | (5), (24) gives:
% 86.88/12.93 | (31) all_28_10 = e23
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with all_4_0, all_28_12, e23, e20, simplifying
% 86.88/12.93 | with (2), (17) gives:
% 86.88/12.93 | (32) all_28_12 = all_4_0
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e20, all_28_12, e23, e20, simplifying with
% 86.88/12.93 | (17), (27) gives:
% 86.88/12.93 | (33) all_28_12 = e20
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with all_8_2, all_28_114, e20, e23, simplifying
% 86.88/12.93 | with (7), (28) gives:
% 86.88/12.93 | (34) all_28_114 = all_8_2
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e22, all_28_114, e20, e23, simplifying
% 86.88/12.93 | with (8), (28) gives:
% 86.88/12.93 | (35) all_28_114 = e22
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e21, all_28_108, e23, e23, simplifying
% 86.88/12.93 | with (22), (30) gives:
% 86.88/12.93 | (36) all_28_108 = e21
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (32), (33) imply:
% 86.88/12.93 | (37) all_4_0 = e20
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (34), (35) imply:
% 86.88/12.93 | (38) all_8_2 = e22
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (38) implies:
% 86.88/12.93 | (39) all_8_2 = e22
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (20), (37) imply:
% 86.88/12.93 | (40) op2(e20, e20) = all_28_123
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (1), (37) imply:
% 86.88/12.93 | (41) op2(e20, e20) = all_28_126
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (16), (39) imply:
% 86.88/12.93 | (42) op2(e23, e22) = all_28_22
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (37) imply:
% 86.88/12.93 | (43) op2(e23, e20) = all_28_111
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (18), (39) imply:
% 86.88/12.93 | (44) op2(e21, e22) = all_28_6
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (15), (37) imply:
% 86.88/12.93 | (45) op2(e20, e20) = all_4_2
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with all_4_2, all_28_126, e20, e20, simplifying
% 86.88/12.93 | with (41), (45) gives:
% 86.88/12.93 | (46) all_28_126 = all_4_2
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e23, all_28_123, e20, e20, simplifying
% 86.88/12.93 | with (5), (40) gives:
% 86.88/12.93 | (47) all_28_123 = e23
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with all_28_126, all_28_123, e20, e20,
% 86.88/12.93 | simplifying with (40), (41) gives:
% 86.88/12.93 | (48) all_28_123 = all_28_126
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e20, all_28_6, e22, e21, simplifying with
% 86.88/12.93 | (13), (44) gives:
% 86.88/12.93 | (49) all_28_6 = e20
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e22, all_28_111, e20, e23, simplifying
% 86.88/12.93 | with (8), (43) gives:
% 86.88/12.93 | (50) all_28_111 = e22
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e23, all_28_22, e22, e23, simplifying with
% 86.88/12.93 | (4), (42) gives:
% 86.88/12.93 | (51) all_28_22 = e23
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (47), (48) imply:
% 86.88/12.93 | (52) all_28_126 = e23
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (52) implies:
% 86.88/12.93 | (53) all_28_126 = e23
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (46), (53) imply:
% 86.88/12.93 | (54) all_4_2 = e23
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (54) implies:
% 86.88/12.93 | (55) all_4_2 = e23
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (12), (55) imply:
% 86.88/12.93 | (56) op2(e23, e23) = all_28_156
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (10), (55) imply:
% 86.88/12.93 | (57) op2(e23, e23) = all_28_144
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (11), (55) imply:
% 86.88/12.93 | (58) op2(e23, e20) = all_28_152
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (14), (55) imply:
% 86.88/12.93 | (59) op2(e23, e23) = all_28_117
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e22, all_28_152, e20, e23, simplifying
% 86.88/12.93 | with (8), (58) gives:
% 86.88/12.93 | (60) all_28_152 = e22
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with e21, all_28_117, e23, e23, simplifying
% 86.88/12.93 | with (22), (59) gives:
% 86.88/12.93 | (61) all_28_117 = e21
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with all_28_144, all_28_117, e23, e23,
% 86.88/12.93 | simplifying with (57), (59) gives:
% 86.88/12.93 | (62) all_28_117 = all_28_144
% 86.88/12.93 |
% 86.88/12.93 | GROUND_INST: instantiating (9) with all_28_156, all_28_117, e23, e23,
% 86.88/12.93 | simplifying with (56), (59) gives:
% 86.88/12.93 | (63) all_28_117 = all_28_156
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (62), (63) imply:
% 86.88/12.93 | (64) all_28_144 = all_28_156
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (61), (62) imply:
% 86.88/12.93 | (65) all_28_144 = e21
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (64), (65) imply:
% 86.88/12.93 | (66) all_28_156 = e21
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (66) implies:
% 86.88/12.93 | (67) all_28_156 = e21
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (26) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (68) unit2 = e23
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (21), (68) imply:
% 86.88/12.93 | | (69) op2(e23, e22) = e22
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (29), (68) imply:
% 86.88/12.93 | | (70) op2(e23, e20) = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (19), (68) imply:
% 86.88/12.93 | | (71) op2(e23, e23) = e23
% 86.88/12.93 | |
% 86.88/12.93 | | GROUND_INST: instantiating (9) with e22, e20, e20, e23, simplifying with
% 86.88/12.93 | | (8), (70) gives:
% 86.88/12.93 | | (72) e22 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | GROUND_INST: instantiating (9) with e23, e22, e22, e23, simplifying with
% 86.88/12.93 | | (4), (69) gives:
% 86.88/12.93 | | (73) e23 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | GROUND_INST: instantiating (9) with e21, e23, e23, e23, simplifying with
% 86.88/12.93 | | (22), (71) gives:
% 86.88/12.93 | | (74) e23 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (73), (74) imply:
% 86.88/12.93 | | (75) e22 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | SIMP: (75) implies:
% 86.88/12.93 | | (76) e22 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (72), (76) imply:
% 86.88/12.93 | | (77) e21 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (6), (77) imply:
% 86.88/12.93 | | (78) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (78) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (79) unit2 = e22 | unit2 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REF_CLOSE: (6), (8), (9), (13), (19), (23), (25), (79) are inconsistent by
% 86.88/12.93 | | sub-proof #170.
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #138 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) ~ (all_16_1 = e21)
% 86.88/12.93 (2) ~ (e21 = e20)
% 86.88/12.93 (3) ~ (e23 = e21)
% 86.88/12.93 (4) all_26_12 = e20
% 86.88/12.93 (5) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 86.88/12.93 (6) all_26_0 = e23
% 86.88/12.93 (7) all_26_6 = e22
% 86.88/12.93 (8) ~ (e22 = e21)
% 86.88/12.93 (9) all_26_2 = all_16_1
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (5) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (10) all_26_0 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (6), (10) imply:
% 86.88/12.93 | | (11) e23 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | SIMP: (11) implies:
% 86.88/12.93 | | (12) e23 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (3), (12) imply:
% 86.88/12.93 | | (13) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (13) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (14) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | REF_CLOSE: (1), (2), (4), (7), (8), (9), (14) are inconsistent by sub-proof
% 86.88/12.93 | | #139.
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #139 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 86.88/12.93 (2) ~ (all_16_1 = e21)
% 86.88/12.93 (3) ~ (e21 = e20)
% 86.88/12.93 (4) all_26_12 = e20
% 86.88/12.93 (5) all_26_6 = e22
% 86.88/12.93 (6) ~ (e22 = e21)
% 86.88/12.93 (7) all_26_2 = all_16_1
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (1) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (8) all_26_2 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | REF_CLOSE: (2), (7), (8) are inconsistent by sub-proof #141.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (9) all_26_6 = e21 | all_26_12 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | BETA: splitting (9) gives:
% 86.88/12.93 | |
% 86.88/12.93 | | Case 1:
% 86.88/12.93 | | |
% 86.88/12.93 | | | (10) all_26_6 = e21
% 86.88/12.93 | | |
% 86.88/12.93 | | | COMBINE_EQS: (5), (10) imply:
% 86.88/12.93 | | | (11) e22 = e21
% 86.88/12.93 | | |
% 86.88/12.93 | | | SIMP: (11) implies:
% 86.88/12.93 | | | (12) e22 = e21
% 86.88/12.93 | | |
% 86.88/12.93 | | | REDUCE: (6), (12) imply:
% 86.88/12.93 | | | (13) $false
% 86.88/12.93 | | |
% 86.88/12.93 | | | CLOSE: (13) is inconsistent.
% 86.88/12.93 | | |
% 86.88/12.93 | | Case 2:
% 86.88/12.93 | | |
% 86.88/12.93 | | | (14) all_26_12 = e21
% 86.88/12.93 | | |
% 86.88/12.93 | | | REF_CLOSE: (3), (4), (14) are inconsistent by sub-proof #140.
% 86.88/12.93 | | |
% 86.88/12.93 | | End of split
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #140 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_26_12 = e21
% 86.88/12.93 (2) all_26_12 = e20
% 86.88/12.93 (3) ~ (e21 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) e21 = e20
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.93 | (5) e21 = e20
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (5) imply:
% 86.88/12.93 | (6) $false
% 86.88/12.93 |
% 86.88/12.93 | CLOSE: (6) is inconsistent.
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #141 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_26_2 = all_16_1
% 86.88/12.93 (2) all_26_2 = e21
% 86.88/12.93 (3) ~ (all_16_1 = e21)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) all_16_1 = e21
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.93 | (5) all_16_1 = e21
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (5) imply:
% 86.88/12.93 | (6) $false
% 86.88/12.93 |
% 86.88/12.93 | CLOSE: (6) is inconsistent.
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #142 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_20_15 = all_4_1
% 86.88/12.93 (2) all_20_15 = e21
% 86.88/12.93 (3) ~ (all_4_1 = e21)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) all_4_1 = e21
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.93 | (5) all_4_1 = e21
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (5) imply:
% 86.88/12.93 | (6) $false
% 86.88/12.93 |
% 86.88/12.93 | CLOSE: (6) is inconsistent.
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #143 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_20_12 = e22 | all_20_12 = e20
% 86.88/12.93 (2) all_20_12 = all_16_3
% 86.88/12.93 (3) ~ (all_16_3 = e22)
% 86.88/12.93 (4) ~ (all_16_3 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (1) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (5) all_20_12 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (2), (5) imply:
% 86.88/12.93 | | (6) all_16_3 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (3), (6) imply:
% 86.88/12.93 | | (7) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (7) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (8) all_20_12 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (2), (8) imply:
% 86.88/12.93 | | (9) all_16_3 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (4), (9) imply:
% 86.88/12.93 | | (10) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (10) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #144 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_26_12 = e23
% 86.88/12.93 (2) all_26_12 = e20
% 86.88/12.93 (3) ~ (e23 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) e23 = e20
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.93 | (5) e23 = e20
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (5) imply:
% 86.88/12.93 | (6) $false
% 86.88/12.93 |
% 86.88/12.93 | CLOSE: (6) is inconsistent.
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #145 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_26_6 = e22
% 86.88/12.93 (2) all_26_6 = e20
% 86.88/12.93 (3) ~ (e22 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) e22 = e20
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.93 | (5) e22 = e20
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (5) imply:
% 86.88/12.93 | (6) $false
% 86.88/12.93 |
% 86.88/12.93 | CLOSE: (6) is inconsistent.
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #146 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_26_8 = e23
% 86.88/12.93 (2) all_26_14 = all_16_11
% 86.88/12.93 (3) ~ (all_16_11 = e20)
% 86.88/12.93 (4) all_26_8 = e20 | all_26_14 = e20
% 86.88/12.93 (5) ~ (e23 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (4) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (6) all_26_8 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #147.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (7) all_26_14 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (2), (7) imply:
% 86.88/12.93 | | (8) all_16_11 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | SIMP: (8) implies:
% 86.88/12.93 | | (9) all_16_11 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (3), (9) imply:
% 86.88/12.93 | | (10) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (10) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #147 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_26_8 = e23
% 86.88/12.93 (2) all_26_8 = e20
% 86.88/12.93 (3) ~ (e23 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) e23 = e20
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.93 | (5) e23 = e20
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (5) imply:
% 86.88/12.93 | (6) $false
% 86.88/12.93 |
% 86.88/12.93 | CLOSE: (6) is inconsistent.
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #148 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) ~ (all_16_11 = e21)
% 86.88/12.93 (2) all_26_15 = all_4_1
% 86.88/12.93 (3) all_26_14 = e21 | all_26_15 = e21
% 86.88/12.93 (4) all_26_14 = all_16_11
% 86.88/12.93 (5) ~ (all_4_1 = e21)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (3) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (6) all_26_14 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #149.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (7) all_26_15 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (2), (7) imply:
% 86.88/12.93 | | (8) all_4_1 = e21
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (5), (8) imply:
% 86.88/12.93 | | (9) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (9) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #149 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_26_14 = all_16_11
% 86.88/12.93 (2) all_26_14 = e21
% 86.88/12.93 (3) ~ (all_16_11 = e21)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) all_16_11 = e21
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.93 | (5) all_16_11 = e21
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (5) imply:
% 86.88/12.93 | (6) $false
% 86.88/12.93 |
% 86.88/12.93 | CLOSE: (6) is inconsistent.
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #150 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_20_1 = all_16_4
% 86.88/12.93 (2) all_20_1 = e20
% 86.88/12.93 (3) ~ (all_16_4 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) all_16_4 = e20
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.93 | (5) all_16_4 = e20
% 86.88/12.93 |
% 86.88/12.93 | REDUCE: (3), (5) imply:
% 86.88/12.93 | (6) $false
% 86.88/12.93 |
% 86.88/12.93 | CLOSE: (6) is inconsistent.
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #151 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_20_5 = e22 | all_20_5 = e20
% 86.88/12.93 (2) all_20_5 = all_6_1
% 86.88/12.93 (3) ~ (all_6_1 = e22)
% 86.88/12.93 (4) ~ (all_6_1 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | BETA: splitting (1) gives:
% 86.88/12.93 |
% 86.88/12.93 | Case 1:
% 86.88/12.93 | |
% 86.88/12.93 | | (5) all_20_5 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | COMBINE_EQS: (2), (5) imply:
% 86.88/12.93 | | (6) all_6_1 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | SIMP: (6) implies:
% 86.88/12.93 | | (7) all_6_1 = e22
% 86.88/12.93 | |
% 86.88/12.93 | | REDUCE: (3), (7) imply:
% 86.88/12.93 | | (8) $false
% 86.88/12.93 | |
% 86.88/12.93 | | CLOSE: (8) is inconsistent.
% 86.88/12.93 | |
% 86.88/12.93 | Case 2:
% 86.88/12.93 | |
% 86.88/12.93 | | (9) all_20_5 = e20
% 86.88/12.93 | |
% 86.88/12.93 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #152.
% 86.88/12.93 | |
% 86.88/12.93 | End of split
% 86.88/12.93 |
% 86.88/12.93 End of proof
% 86.88/12.93
% 86.88/12.93 Sub-proof #152 shows that the following formulas are inconsistent:
% 86.88/12.93 ----------------------------------------------------------------
% 86.88/12.93 (1) all_20_5 = all_6_1
% 86.88/12.93 (2) all_20_5 = e20
% 86.88/12.93 (3) ~ (all_6_1 = e20)
% 86.88/12.93
% 86.88/12.93 Begin of proof
% 86.88/12.93 |
% 86.88/12.93 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.93 | (4) all_6_1 = e20
% 86.88/12.93 |
% 86.88/12.93 | SIMP: (4) implies:
% 86.88/12.94 | (5) all_6_1 = e20
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (3), (5) imply:
% 86.88/12.94 | (6) $false
% 86.88/12.94 |
% 86.88/12.94 | CLOSE: (6) is inconsistent.
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #153 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 86.88/12.94 (2) all_26_3 = e23
% 86.88/12.94 (3) ~ (all_16_13 = e23)
% 86.88/12.94 (4) all_26_13 = all_16_7
% 86.88/12.94 (5) all_26_11 = e21
% 86.88/12.94 (6) all_26_15 = e20
% 86.88/12.94 (7) ~ (e23 = e21)
% 86.88/12.94 (8) ~ (all_16_7 = e23)
% 86.88/12.94 (9) all_26_10 = e23 | all_26_11 = e23 | all_26_15 = e23
% 86.88/12.94 (10) all_26_10 = all_16_13
% 86.88/12.94 (11) all_26_7 = e20
% 86.88/12.94 (12) ~ (e23 = e20)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (9) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (13) all_26_10 = e23
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (10), (13) imply:
% 86.88/12.94 | | (14) all_16_13 = e23
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (3), (14) imply:
% 86.88/12.94 | | (15) $false
% 86.88/12.94 | |
% 86.88/12.94 | | CLOSE: (15) is inconsistent.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (16) all_26_11 = e23 | all_26_15 = e23
% 86.88/12.94 | |
% 86.88/12.94 | | BETA: splitting (16) gives:
% 86.88/12.94 | |
% 86.88/12.94 | | Case 1:
% 86.88/12.94 | | |
% 86.88/12.94 | | | (17) all_26_11 = e23
% 86.88/12.94 | | |
% 86.88/12.94 | | | COMBINE_EQS: (5), (17) imply:
% 86.88/12.94 | | | (18) e23 = e21
% 86.88/12.94 | | |
% 86.88/12.94 | | | COMBINE_EQS: (2), (18) imply:
% 86.88/12.94 | | | (19) all_26_3 = e21
% 86.88/12.94 | | |
% 86.88/12.94 | | | BETA: splitting (1) gives:
% 86.88/12.94 | | |
% 86.88/12.94 | | | Case 1:
% 86.88/12.94 | | | |
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | REDUCE: (7), (18) imply:
% 86.88/12.94 | | | | (20) $false
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | CLOSE: (20) is inconsistent.
% 86.88/12.94 | | | |
% 86.88/12.94 | | | Case 2:
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | (21) all_26_7 = e23 | all_26_13 = e23
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | REF_CLOSE: (4), (8), (11), (12), (21) are inconsistent by sub-proof
% 86.88/12.94 | | | | #154.
% 86.88/12.94 | | | |
% 86.88/12.94 | | | End of split
% 86.88/12.94 | | |
% 86.88/12.94 | | Case 2:
% 86.88/12.94 | | |
% 86.88/12.94 | | | (22) all_26_15 = e23
% 86.88/12.94 | | |
% 86.88/12.94 | | | COMBINE_EQS: (6), (22) imply:
% 86.88/12.94 | | | (23) e23 = e20
% 86.88/12.94 | | |
% 86.88/12.94 | | | REDUCE: (12), (23) imply:
% 86.88/12.94 | | | (24) $false
% 86.88/12.94 | | |
% 86.88/12.94 | | | CLOSE: (24) is inconsistent.
% 86.88/12.94 | | |
% 86.88/12.94 | | End of split
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #154 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_13 = all_16_7
% 86.88/12.94 (2) all_26_7 = e23 | all_26_13 = e23
% 86.88/12.94 (3) ~ (all_16_7 = e23)
% 86.88/12.94 (4) all_26_7 = e20
% 86.88/12.94 (5) ~ (e23 = e20)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (2) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (6) all_26_7 = e23
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (4), (6) imply:
% 86.88/12.94 | | (7) e23 = e20
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (5), (7) imply:
% 86.88/12.94 | | (8) $false
% 86.88/12.94 | |
% 86.88/12.94 | | CLOSE: (8) is inconsistent.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (9) all_26_13 = e23
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #155.
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #155 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_13 = all_16_7
% 86.88/12.94 (2) all_26_13 = e23
% 86.88/12.94 (3) ~ (all_16_7 = e23)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.94 | (4) all_16_7 = e23
% 86.88/12.94 |
% 86.88/12.94 | SIMP: (4) implies:
% 86.88/12.94 | (5) all_16_7 = e23
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (3), (5) imply:
% 86.88/12.94 | (6) $false
% 86.88/12.94 |
% 86.88/12.94 | CLOSE: (6) is inconsistent.
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #156 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) op2(e22, unit2) = e22
% 86.88/12.94 (2) ~ (e21 = e20)
% 86.88/12.94 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.88/12.94 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.88/12.94 (4) op2(e21, e22) = e20
% 86.88/12.94 (5) op2(e22, e23) = e20
% 86.88/12.94 (6) op2(e21, e23) = e22
% 86.88/12.94 (7) op2(unit2, e22) = e22
% 86.88/12.94 (8) op2(e21, unit2) = e21
% 86.88/12.94 (9) unit2 = e23 | unit2 = e22 | unit2 = e20
% 86.88/12.94 (10) op2(e20, e22) = e21
% 86.88/12.94 (11) ~ (e22 = e21)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (9) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (12) unit2 = e23
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (12) are inconsistent by sub-proof
% 86.88/12.94 | | #172.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (13) unit2 = e22 | unit2 = e20
% 86.88/12.94 | |
% 86.88/12.94 | | BETA: splitting (13) gives:
% 86.88/12.94 | |
% 86.88/12.94 | | Case 1:
% 86.88/12.94 | | |
% 86.88/12.94 | | | (14) unit2 = e22
% 86.88/12.94 | | |
% 86.88/12.94 | | | REF_CLOSE: (2), (3), (4), (8), (14) are inconsistent by sub-proof #171.
% 86.88/12.94 | | |
% 86.88/12.94 | | Case 2:
% 86.88/12.94 | | |
% 86.88/12.94 | | | (15) unit2 = e20
% 86.88/12.94 | | |
% 86.88/12.94 | | | REF_CLOSE: (3), (7), (10), (11), (15) are inconsistent by sub-proof #157.
% 86.88/12.94 | | |
% 86.88/12.94 | | End of split
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #157 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.88/12.94 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.88/12.94 (2) unit2 = e20
% 86.88/12.94 (3) op2(unit2, e22) = e22
% 86.88/12.94 (4) op2(e20, e22) = e21
% 86.88/12.94 (5) ~ (e22 = e21)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (2), (3) imply:
% 86.88/12.94 | (6) op2(e20, e22) = e22
% 86.88/12.94 |
% 86.88/12.94 | GROUND_INST: instantiating (1) with e21, e22, e22, e20, simplifying with (4),
% 86.88/12.94 | (6) gives:
% 86.88/12.94 | (7) e22 = e21
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (5), (7) imply:
% 86.88/12.94 | (8) $false
% 86.88/12.94 |
% 86.88/12.94 | CLOSE: (8) is inconsistent.
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #158 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_13 = e21
% 86.88/12.94 (2) all_26_7 = e22 | all_26_13 = e22
% 86.88/12.94 (3) all_26_7 = e20
% 86.88/12.94 (4) ~ (e22 = e21)
% 86.88/12.94 (5) ~ (e22 = e20)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (2) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (6) all_26_7 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (3), (6) imply:
% 86.88/12.94 | | (7) e22 = e20
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (5), (7) imply:
% 86.88/12.94 | | (8) $false
% 86.88/12.94 | |
% 86.88/12.94 | | CLOSE: (8) is inconsistent.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (9) all_26_13 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (1), (9) imply:
% 86.88/12.94 | | (10) e22 = e21
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (4), (10) imply:
% 86.88/12.94 | | (11) $false
% 86.88/12.94 | |
% 86.88/12.94 | | CLOSE: (11) is inconsistent.
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #159 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_1 = e23
% 86.88/12.94 (2) all_26_1 = e22
% 86.88/12.94 (3) ~ (e23 = e22)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.94 | (4) e23 = e22
% 86.88/12.94 |
% 86.88/12.94 | SIMP: (4) implies:
% 86.88/12.94 | (5) e23 = e22
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (3), (5) imply:
% 86.88/12.94 | (6) $false
% 86.88/12.94 |
% 86.88/12.94 | CLOSE: (6) is inconsistent.
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #160 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_12 = e23
% 86.88/12.94 (2) all_26_12 = e21
% 86.88/12.94 (3) ~ (e23 = e21)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.94 | (4) e23 = e21
% 86.88/12.94 |
% 86.88/12.94 | SIMP: (4) implies:
% 86.88/12.94 | (5) e23 = e21
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (3), (5) imply:
% 86.88/12.94 | (6) $false
% 86.88/12.94 |
% 86.88/12.94 | CLOSE: (6) is inconsistent.
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #161 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_20_7 = all_16_13
% 86.88/12.94 (2) op2(e22, unit2) = e22
% 86.88/12.94 (3) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e21 | all_20_3 = e20
% 86.88/12.94 (4) ~ (e21 = e20)
% 86.88/12.94 (5) all_26_11 = e21
% 86.88/12.94 (6) op2(e23, e20) = all_8_2
% 86.88/12.94 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.88/12.94 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.88/12.94 (8) all_26_9 = all_8_2
% 86.88/12.94 (9) all_26_15 = e20
% 86.88/12.94 (10) ~ (all_16_12 = e20)
% 86.88/12.94 (11) op2(e21, e22) = e20
% 86.88/12.94 (12) all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 = e23
% 86.88/12.94 (13) ~ (all_16_13 = all_8_2)
% 86.88/12.94 (14) ~ (all_16_13 = e22)
% 86.88/12.94 (15) op2(e22, e23) = e20
% 86.88/12.94 (16) op2(e21, e23) = e22
% 86.88/12.94 (17) op2(e23, unit2) = e23
% 86.88/12.94 (18) all_20_3 = all_8_2
% 86.88/12.94 (19) ~ (all_8_2 = e21)
% 86.88/12.94 (20) all_26_10 = all_16_13
% 86.88/12.94 (21) ~ (all_16_12 = all_16_13)
% 86.88/12.94 (22) op2(e21, unit2) = e21
% 86.88/12.94 (23) ~ (e23 = e22)
% 86.88/12.94 (24) unit2 = e23 | unit2 = e22 | unit2 = e20
% 86.88/12.94 (25) all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22
% 86.88/12.94 (26) all_20_3 = all_16_12
% 86.88/12.94 (27) ~ (e22 = e21)
% 86.88/12.94 (28) ~ (e22 = e20)
% 86.88/12.94 (29) ~ (all_16_13 = e20)
% 86.88/12.94 (30) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (25) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (31) all_26_9 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (8), (31) imply:
% 86.88/12.94 | | (32) all_8_2 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | SIMP: (32) implies:
% 86.88/12.94 | | (33) all_8_2 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (6), (33) imply:
% 86.88/12.94 | | (34) op2(e23, e20) = e22
% 86.88/12.94 | |
% 86.88/12.94 | | BETA: splitting (24) gives:
% 86.88/12.94 | |
% 86.88/12.94 | | Case 1:
% 86.88/12.94 | | |
% 86.88/12.94 | | | (35) unit2 = e23
% 86.88/12.94 | | |
% 86.88/12.94 | | | REF_CLOSE: (2), (4), (7), (15), (16), (22), (35) are inconsistent by
% 86.88/12.94 | | | sub-proof #172.
% 86.88/12.94 | | |
% 86.88/12.94 | | Case 2:
% 86.88/12.94 | | |
% 86.88/12.94 | | | (36) unit2 = e22 | unit2 = e20
% 86.88/12.94 | | |
% 86.88/12.94 | | | REF_CLOSE: (4), (7), (11), (17), (22), (23), (34), (36) are inconsistent
% 86.88/12.94 | | | by sub-proof #170.
% 86.88/12.94 | | |
% 86.88/12.94 | | End of split
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (37) all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | BETA: splitting (3) gives:
% 86.88/12.94 | |
% 86.88/12.94 | | Case 1:
% 86.88/12.94 | | |
% 86.88/12.94 | | | (38) all_20_3 = e21
% 86.88/12.94 | | |
% 86.88/12.94 | | | COMBINE_EQS: (18), (38) imply:
% 86.88/12.94 | | | (39) all_8_2 = e21
% 86.88/12.94 | | |
% 86.88/12.94 | | | SIMP: (39) implies:
% 86.88/12.94 | | | (40) all_8_2 = e21
% 86.88/12.94 | | |
% 86.88/12.94 | | | REDUCE: (19), (40) imply:
% 86.88/12.94 | | | (41) $false
% 86.88/12.94 | | |
% 86.88/12.94 | | | CLOSE: (41) is inconsistent.
% 86.88/12.94 | | |
% 86.88/12.94 | | Case 2:
% 86.88/12.94 | | |
% 86.88/12.94 | | | (42) all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e20
% 86.88/12.94 | | |
% 86.88/12.94 | | | BETA: splitting (42) gives:
% 86.88/12.94 | | |
% 86.88/12.94 | | | Case 1:
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | (43) all_20_3 = e23
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | COMBINE_EQS: (18), (43) imply:
% 86.88/12.94 | | | | (44) all_8_2 = e23
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | SIMP: (44) implies:
% 86.88/12.94 | | | | (45) all_8_2 = e23
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | REDUCE: (13), (45) imply:
% 86.88/12.94 | | | | (46) ~ (all_16_13 = e23)
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | REF_CLOSE: (1), (14), (29), (30), (46) are inconsistent by sub-proof
% 86.88/12.94 | | | | #166.
% 86.88/12.94 | | | |
% 86.88/12.94 | | | Case 2:
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | (47) ~ (all_20_3 = e23)
% 86.88/12.94 | | | | (48) all_20_3 = e22 | all_20_3 = e20
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | REDUCE: (18), (47) imply:
% 86.88/12.94 | | | | (49) ~ (all_8_2 = e23)
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | BETA: splitting (12) gives:
% 86.88/12.94 | | | |
% 86.88/12.94 | | | | Case 1:
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | | (50) all_26_9 = e23
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | | COMBINE_EQS: (8), (50) imply:
% 86.88/12.94 | | | | | (51) all_8_2 = e23
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | | SIMP: (51) implies:
% 86.88/12.94 | | | | | (52) all_8_2 = e23
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | | REDUCE: (49), (52) imply:
% 86.88/12.94 | | | | | (53) $false
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | | CLOSE: (53) is inconsistent.
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | Case 2:
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | | (54) all_26_10 = e23 | all_26_11 = e23 | all_26_15 = e23
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | | BETA: splitting (54) gives:
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | | Case 1:
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | | (55) all_26_10 = e23
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | | COMBINE_EQS: (20), (55) imply:
% 86.88/12.94 | | | | | | (56) all_16_13 = e23
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | | SIMP: (56) implies:
% 86.88/12.94 | | | | | | (57) all_16_13 = e23
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | | REF_CLOSE: (5), (9), (23), (27), (28), (37), (55) are inconsistent
% 86.88/12.94 | | | | | | by sub-proof #163.
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | Case 2:
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | | (58) ~ (all_26_10 = e23)
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | | REDUCE: (20), (58) imply:
% 86.88/12.94 | | | | | | (59) ~ (all_16_13 = e23)
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | | REF_CLOSE: (1), (10), (21), (26), (29), (30), (48), (59) are
% 86.88/12.94 | | | | | | inconsistent by sub-proof #162.
% 86.88/12.94 | | | | | |
% 86.88/12.94 | | | | | End of split
% 86.88/12.94 | | | | |
% 86.88/12.94 | | | | End of split
% 86.88/12.94 | | | |
% 86.88/12.94 | | | End of split
% 86.88/12.94 | | |
% 86.88/12.94 | | End of split
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #162 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) ~ (all_16_13 = e23)
% 86.88/12.94 (2) all_20_7 = all_16_13
% 86.88/12.94 (3) ~ (all_16_12 = e20)
% 86.88/12.94 (4) ~ (all_16_12 = all_16_13)
% 86.88/12.94 (5) all_20_3 = e22 | all_20_3 = e20
% 86.88/12.94 (6) all_20_3 = all_16_12
% 86.88/12.94 (7) ~ (all_16_13 = e20)
% 86.88/12.94 (8) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (5) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (9) all_20_3 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (6), (9) imply:
% 86.88/12.94 | | (10) all_16_12 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (4), (10) imply:
% 86.88/12.94 | | (11) ~ (all_16_13 = e22)
% 86.88/12.94 | |
% 86.88/12.94 | | SIMP: (11) implies:
% 86.88/12.94 | | (12) ~ (all_16_13 = e22)
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (1), (2), (7), (8), (12) are inconsistent by sub-proof #166.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (13) all_20_3 = e20
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (6), (13) imply:
% 86.88/12.94 | | (14) all_16_12 = e20
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (3), (14) imply:
% 86.88/12.94 | | (15) $false
% 86.88/12.94 | |
% 86.88/12.94 | | CLOSE: (15) is inconsistent.
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #163 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_10 = e23
% 86.88/12.94 (2) all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22
% 86.88/12.94 (3) all_26_11 = e21
% 86.88/12.94 (4) all_26_15 = e20
% 86.88/12.94 (5) ~ (e23 = e22)
% 86.88/12.94 (6) ~ (e22 = e21)
% 86.88/12.94 (7) ~ (e22 = e20)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (2) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (8) all_26_10 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #165.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (9) all_26_11 = e22 | all_26_15 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (3), (4), (6), (7), (9) are inconsistent by sub-proof #164.
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #164 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_11 = e21
% 86.88/12.94 (2) all_26_15 = e20
% 86.88/12.94 (3) ~ (e22 = e21)
% 86.88/12.94 (4) ~ (e22 = e20)
% 86.88/12.94 (5) all_26_11 = e22 | all_26_15 = e22
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (5) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (6) all_26_11 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (1), (6) imply:
% 86.88/12.94 | | (7) e22 = e21
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (3), (7) imply:
% 86.88/12.94 | | (8) $false
% 86.88/12.94 | |
% 86.88/12.94 | | CLOSE: (8) is inconsistent.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (9) all_26_15 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (2), (9) imply:
% 86.88/12.94 | | (10) e22 = e20
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (4), (10) imply:
% 86.88/12.94 | | (11) $false
% 86.88/12.94 | |
% 86.88/12.94 | | CLOSE: (11) is inconsistent.
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #165 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_26_10 = e23
% 86.88/12.94 (2) all_26_10 = e22
% 86.88/12.94 (3) ~ (e23 = e22)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.94 | (4) e23 = e22
% 86.88/12.94 |
% 86.88/12.94 | SIMP: (4) implies:
% 86.88/12.94 | (5) e23 = e22
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (3), (5) imply:
% 86.88/12.94 | (6) $false
% 86.88/12.94 |
% 86.88/12.94 | CLOSE: (6) is inconsistent.
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #166 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) ~ (all_16_13 = e23)
% 86.88/12.94 (2) all_20_7 = all_16_13
% 86.88/12.94 (3) ~ (all_16_13 = e22)
% 86.88/12.94 (4) ~ (all_16_13 = e20)
% 86.88/12.94 (5) all_20_7 = e23 | all_20_7 = e22 | all_20_7 = e20
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (5) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (6) all_20_7 = e23
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #169.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (7) all_20_7 = e22 | all_20_7 = e20
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #167.
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #167 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_20_7 = e22 | all_20_7 = e20
% 86.88/12.94 (2) all_20_7 = all_16_13
% 86.88/12.94 (3) ~ (all_16_13 = e22)
% 86.88/12.94 (4) ~ (all_16_13 = e20)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (1) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (5) all_20_7 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | COMBINE_EQS: (2), (5) imply:
% 86.88/12.94 | | (6) all_16_13 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | SIMP: (6) implies:
% 86.88/12.94 | | (7) all_16_13 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | REDUCE: (3), (7) imply:
% 86.88/12.94 | | (8) $false
% 86.88/12.94 | |
% 86.88/12.94 | | CLOSE: (8) is inconsistent.
% 86.88/12.94 | |
% 86.88/12.94 | Case 2:
% 86.88/12.94 | |
% 86.88/12.94 | | (9) all_20_7 = e20
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #168.
% 86.88/12.94 | |
% 86.88/12.94 | End of split
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #168 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_20_7 = all_16_13
% 86.88/12.94 (2) all_20_7 = e20
% 86.88/12.94 (3) ~ (all_16_13 = e20)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.94 | (4) all_16_13 = e20
% 86.88/12.94 |
% 86.88/12.94 | SIMP: (4) implies:
% 86.88/12.94 | (5) all_16_13 = e20
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (3), (5) imply:
% 86.88/12.94 | (6) $false
% 86.88/12.94 |
% 86.88/12.94 | CLOSE: (6) is inconsistent.
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #169 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) all_20_7 = all_16_13
% 86.88/12.94 (2) all_20_7 = e23
% 86.88/12.94 (3) ~ (all_16_13 = e23)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.94 | (4) all_16_13 = e23
% 86.88/12.94 |
% 86.88/12.94 | SIMP: (4) implies:
% 86.88/12.94 | (5) all_16_13 = e23
% 86.88/12.94 |
% 86.88/12.94 | REDUCE: (3), (5) imply:
% 86.88/12.94 | (6) $false
% 86.88/12.94 |
% 86.88/12.94 | CLOSE: (6) is inconsistent.
% 86.88/12.94 |
% 86.88/12.94 End of proof
% 86.88/12.94
% 86.88/12.94 Sub-proof #170 shows that the following formulas are inconsistent:
% 86.88/12.94 ----------------------------------------------------------------
% 86.88/12.94 (1) ~ (e21 = e20)
% 86.88/12.94 (2) op2(e23, e20) = e22
% 86.88/12.94 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.88/12.94 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.88/12.94 (4) op2(e21, e22) = e20
% 86.88/12.94 (5) unit2 = e22 | unit2 = e20
% 86.88/12.94 (6) op2(e23, unit2) = e23
% 86.88/12.94 (7) op2(e21, unit2) = e21
% 86.88/12.94 (8) ~ (e23 = e22)
% 86.88/12.94
% 86.88/12.94 Begin of proof
% 86.88/12.94 |
% 86.88/12.94 | BETA: splitting (5) gives:
% 86.88/12.94 |
% 86.88/12.94 | Case 1:
% 86.88/12.94 | |
% 86.88/12.94 | | (9) unit2 = e22
% 86.88/12.94 | |
% 86.88/12.94 | | REF_CLOSE: (1), (3), (4), (7), (9) are inconsistent by sub-proof #171.
% 86.88/12.94 | |
% 86.88/12.95 | Case 2:
% 86.88/12.95 | |
% 86.88/12.95 | | (10) unit2 = e20
% 86.88/12.95 | |
% 86.88/12.95 | | REDUCE: (6), (10) imply:
% 86.88/12.95 | | (11) op2(e23, e20) = e23
% 86.88/12.95 | |
% 86.88/12.95 | | GROUND_INST: instantiating (3) with e22, e23, e20, e23, simplifying with
% 86.88/12.95 | | (2), (11) gives:
% 86.88/12.95 | | (12) e23 = e22
% 86.88/12.95 | |
% 86.88/12.95 | | REDUCE: (8), (12) imply:
% 86.88/12.95 | | (13) $false
% 86.88/12.95 | |
% 86.88/12.95 | | CLOSE: (13) is inconsistent.
% 86.88/12.95 | |
% 86.88/12.95 | End of split
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95
% 86.88/12.95 Sub-proof #171 shows that the following formulas are inconsistent:
% 86.88/12.95 ----------------------------------------------------------------
% 86.88/12.95 (1) ~ (e21 = e20)
% 86.88/12.95 (2) unit2 = e22
% 86.88/12.95 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.88/12.95 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.88/12.95 (4) op2(e21, e22) = e20
% 86.88/12.95 (5) op2(e21, unit2) = e21
% 86.88/12.95
% 86.88/12.95 Begin of proof
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (2), (5) imply:
% 86.88/12.95 | (6) op2(e21, e22) = e21
% 86.88/12.95 |
% 86.88/12.95 | GROUND_INST: instantiating (3) with e20, e21, e22, e21, simplifying with (4),
% 86.88/12.95 | (6) gives:
% 86.88/12.95 | (7) e21 = e20
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (1), (7) imply:
% 86.88/12.95 | (8) $false
% 86.88/12.95 |
% 86.88/12.95 | CLOSE: (8) is inconsistent.
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95
% 86.88/12.95 Sub-proof #172 shows that the following formulas are inconsistent:
% 86.88/12.95 ----------------------------------------------------------------
% 86.88/12.95 (1) op2(e22, unit2) = e22
% 86.88/12.95 (2) ~ (e21 = e20)
% 86.88/12.95 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 86.88/12.95 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 86.88/12.95 (4) unit2 = e23
% 86.88/12.95 (5) op2(e22, e23) = e20
% 86.88/12.95 (6) op2(e21, e23) = e22
% 86.88/12.95 (7) op2(e21, unit2) = e21
% 86.88/12.95
% 86.88/12.95 Begin of proof
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (1), (4) imply:
% 86.88/12.95 | (8) op2(e22, e23) = e22
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (4), (7) imply:
% 86.88/12.95 | (9) op2(e21, e23) = e21
% 86.88/12.95 |
% 86.88/12.95 | GROUND_INST: instantiating (3) with e22, e21, e23, e21, simplifying with (6),
% 86.88/12.95 | (9) gives:
% 86.88/12.95 | (10) e22 = e21
% 86.88/12.95 |
% 86.88/12.95 | GROUND_INST: instantiating (3) with e20, e22, e23, e22, simplifying with (5),
% 86.88/12.95 | (8) gives:
% 86.88/12.95 | (11) e22 = e20
% 86.88/12.95 |
% 86.88/12.95 | REF_CLOSE: (2), (10), (11) are inconsistent by sub-proof #178.
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95
% 86.88/12.95 Sub-proof #173 shows that the following formulas are inconsistent:
% 86.88/12.95 ----------------------------------------------------------------
% 86.88/12.95 (1) all_26_0 = e21
% 86.88/12.95 (2) all_26_0 = e20
% 86.88/12.95 (3) ~ (e21 = e20)
% 86.88/12.95
% 86.88/12.95 Begin of proof
% 86.88/12.95 |
% 86.88/12.95 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.95 | (4) e21 = e20
% 86.88/12.95 |
% 86.88/12.95 | SIMP: (4) implies:
% 86.88/12.95 | (5) e21 = e20
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (3), (5) imply:
% 86.88/12.95 | (6) $false
% 86.88/12.95 |
% 86.88/12.95 | CLOSE: (6) is inconsistent.
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95
% 86.88/12.95 Sub-proof #174 shows that the following formulas are inconsistent:
% 86.88/12.95 ----------------------------------------------------------------
% 86.88/12.95 (1) all_20_4 = all_16_1
% 86.88/12.95 (2) all_20_4 = e21
% 86.88/12.95 (3) ~ (all_16_1 = e21)
% 86.88/12.95
% 86.88/12.95 Begin of proof
% 86.88/12.95 |
% 86.88/12.95 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.95 | (4) all_16_1 = e21
% 86.88/12.95 |
% 86.88/12.95 | SIMP: (4) implies:
% 86.88/12.95 | (5) all_16_1 = e21
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (3), (5) imply:
% 86.88/12.95 | (6) $false
% 86.88/12.95 |
% 86.88/12.95 | CLOSE: (6) is inconsistent.
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95
% 86.88/12.95 Sub-proof #175 shows that the following formulas are inconsistent:
% 86.88/12.95 ----------------------------------------------------------------
% 86.88/12.95 (1) all_20_1 = all_16_4
% 86.88/12.95 (2) all_20_1 = e21
% 86.88/12.95 (3) ~ (all_16_4 = e21)
% 86.88/12.95
% 86.88/12.95 Begin of proof
% 86.88/12.95 |
% 86.88/12.95 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.95 | (4) all_16_4 = e21
% 86.88/12.95 |
% 86.88/12.95 | SIMP: (4) implies:
% 86.88/12.95 | (5) all_16_4 = e21
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (3), (5) imply:
% 86.88/12.95 | (6) $false
% 86.88/12.95 |
% 86.88/12.95 | CLOSE: (6) is inconsistent.
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95
% 86.88/12.95 Sub-proof #176 shows that the following formulas are inconsistent:
% 86.88/12.95 ----------------------------------------------------------------
% 86.88/12.95 (1) all_20_12 = all_16_3
% 86.88/12.95 (2) all_20_12 = e21
% 86.88/12.95 (3) ~ (all_16_3 = e21)
% 86.88/12.95
% 86.88/12.95 Begin of proof
% 86.88/12.95 |
% 86.88/12.95 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.95 | (4) all_16_3 = e21
% 86.88/12.95 |
% 86.88/12.95 | SIMP: (4) implies:
% 86.88/12.95 | (5) all_16_3 = e21
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (3), (5) imply:
% 86.88/12.95 | (6) $false
% 86.88/12.95 |
% 86.88/12.95 | CLOSE: (6) is inconsistent.
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95
% 86.88/12.95 Sub-proof #177 shows that the following formulas are inconsistent:
% 86.88/12.95 ----------------------------------------------------------------
% 86.88/12.95 (1) e12 = e11
% 86.88/12.95 (2) e12 = e10
% 86.88/12.95 (3) ~ (e11 = e10)
% 86.88/12.95
% 86.88/12.95 Begin of proof
% 86.88/12.95 |
% 86.88/12.95 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.95 | (4) e11 = e10
% 86.88/12.95 |
% 86.88/12.95 | SIMP: (4) implies:
% 86.88/12.95 | (5) e11 = e10
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (3), (5) imply:
% 86.88/12.95 | (6) $false
% 86.88/12.95 |
% 86.88/12.95 | CLOSE: (6) is inconsistent.
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95
% 86.88/12.95 Sub-proof #178 shows that the following formulas are inconsistent:
% 86.88/12.95 ----------------------------------------------------------------
% 86.88/12.95 (1) e22 = e21
% 86.88/12.95 (2) e22 = e20
% 86.88/12.95 (3) ~ (e21 = e20)
% 86.88/12.95
% 86.88/12.95 Begin of proof
% 86.88/12.95 |
% 86.88/12.95 | COMBINE_EQS: (1), (2) imply:
% 86.88/12.95 | (4) e21 = e20
% 86.88/12.95 |
% 86.88/12.95 | SIMP: (4) implies:
% 86.88/12.95 | (5) e21 = e20
% 86.88/12.95 |
% 86.88/12.95 | REDUCE: (3), (5) imply:
% 86.88/12.95 | (6) $false
% 86.88/12.95 |
% 86.88/12.95 | CLOSE: (6) is inconsistent.
% 86.88/12.95 |
% 86.88/12.95 End of proof
% 86.88/12.95 % SZS output end Proof for theBenchmark
% 86.88/12.95
% 86.88/12.95 12340ms
%------------------------------------------------------------------------------