TSTP Solution File: ALG120+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG120+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 : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:36:28 EDT 2023
% Result : Theorem 28.04s 4.64s
% Output : Proof 83.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG120+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 28 05:26:23 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.61 ________ _____
% 0.17/0.61 ___ __ \_________(_)________________________________
% 0.17/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.17/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.17/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.17/0.61
% 0.17/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.61 (2023-06-19)
% 0.17/0.61
% 0.17/0.61 (c) Philipp Rümmer, 2009-2023
% 0.17/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.61 Amanda Stjerna.
% 0.17/0.61 Free software under BSD-3-Clause.
% 0.17/0.61
% 0.17/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.61
% 0.17/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.17/0.63 Running up to 7 provers in parallel.
% 0.17/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.17/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.17/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 9.01/2.04 Prover 1: Preprocessing ...
% 9.01/2.06 Prover 4: Preprocessing ...
% 9.49/2.10 Prover 3: Preprocessing ...
% 9.49/2.10 Prover 5: Preprocessing ...
% 9.49/2.10 Prover 0: Preprocessing ...
% 9.49/2.10 Prover 2: Preprocessing ...
% 9.49/2.11 Prover 6: Preprocessing ...
% 17.79/3.26 Prover 3: Constructing countermodel ...
% 17.79/3.26 Prover 4: Constructing countermodel ...
% 17.79/3.26 Prover 1: Constructing countermodel ...
% 17.79/3.26 Prover 2: Constructing countermodel ...
% 17.79/3.28 Prover 6: Constructing countermodel ...
% 17.79/3.32 Prover 0: Constructing countermodel ...
% 24.80/4.33 Prover 5: Constructing countermodel ...
% 28.04/4.64 Prover 0: proved (3998ms)
% 28.04/4.64
% 28.04/4.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.04/4.64
% 28.04/4.64 Prover 2: stopped
% 28.04/4.64 Prover 6: stopped
% 28.37/4.65 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 28.37/4.65 Prover 5: stopped
% 28.37/4.65 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 28.37/4.65 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 28.37/4.65 Prover 3: stopped
% 28.37/4.66 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 28.37/4.66 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 32.47/5.26 Prover 7: Preprocessing ...
% 33.20/5.38 Prover 10: Preprocessing ...
% 33.93/5.42 Prover 11: Preprocessing ...
% 33.93/5.43 Prover 8: Preprocessing ...
% 34.70/5.51 Prover 13: Preprocessing ...
% 34.70/5.61 Prover 8: Constructing countermodel ...
% 37.28/5.89 Prover 7: Constructing countermodel ...
% 37.65/5.92 Prover 11: Constructing countermodel ...
% 37.65/5.93 Prover 10: Constructing countermodel ...
% 38.84/6.08 Prover 13: Constructing countermodel ...
% 67.79/9.85 Prover 13: stopped
% 67.79/9.85 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 70.29/10.12 Prover 16: Preprocessing ...
% 72.61/10.41 Prover 16: Constructing countermodel ...
% 77.81/11.08 Prover 4: Found proof (size 5302)
% 77.81/11.08 Prover 4: proved (10426ms)
% 77.81/11.08 Prover 7: stopped
% 77.81/11.08 Prover 16: stopped
% 77.81/11.08 Prover 10: stopped
% 77.81/11.08 Prover 8: stopped
% 77.81/11.08 Prover 11: stopped
% 77.81/11.08 Prover 1: stopped
% 77.81/11.08
% 77.81/11.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 77.81/11.08
% 79.87/11.75 % SZS output start Proof for theBenchmark
% 79.87/11.78 Assumptions after simplification:
% 79.87/11.78 ---------------------------------
% 79.87/11.78
% 79.87/11.78 (ax1)
% 80.09/11.83 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 80.09/11.83 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 80.09/11.83 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 80.09/11.83 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 80.09/11.83 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 &
% 80.09/11.83 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 80.09/11.83 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 &
% 80.09/11.83 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 80.09/11.83 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 80.09/11.83 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 80.09/11.83 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14
% 80.09/11.83 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13
% 80.09/11.83 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 |
% 80.09/11.83 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 |
% 80.09/11.83 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8
% 80.09/11.83 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 80.09/11.83 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 =
% 80.09/11.83 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13
% 80.09/11.83 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 =
% 80.09/11.83 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12
% 80.09/11.83 | v0 = e11 | v0 = e10))
% 80.09/11.83
% 80.09/11.83 (ax10)
% 80.58/11.85 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 80.58/11.85 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 80.58/11.85 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 80.58/11.85 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 80.58/11.86 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 80.58/11.86 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 80.58/11.86 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v15) = v30
% 80.58/11.86 & op1(e13, v14) = v29 & op1(e13, v13) = v28 & op1(e13, v3) = v31 & op1(e13,
% 80.58/11.86 e13) = v3 & op1(e13, e12) = v15 & op1(e13, e11) = v14 & op1(e13, e10) =
% 80.58/11.86 v13 & op1(e12, v12) = v27 & op1(e12, v11) = v25 & op1(e12, v10) = v24 &
% 80.58/11.86 op1(e12, v2) = v26 & op1(e12, e13) = v12 & op1(e12, e12) = v2 & op1(e12,
% 80.58/11.86 e11) = v11 & op1(e12, e10) = v10 & op1(e11, v9) = v23 & op1(e11, v8) = v22
% 80.58/11.86 & op1(e11, v7) = v20 & op1(e11, v1) = v21 & op1(e11, e13) = v9 & op1(e11,
% 80.58/11.86 e12) = v8 & op1(e11, e11) = v1 & op1(e11, e10) = v7 & op1(e10, v6) = v19 &
% 80.58/11.86 op1(e10, v5) = v18 & op1(e10, v4) = v17 & op1(e10, v0) = v16 & op1(e10, e13)
% 80.58/11.86 = v6 & op1(e10, e12) = v5 & op1(e10, e11) = v4 & op1(e10, e10) = v0 &
% 80.58/11.86 $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 80.58/11.86 $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 80.58/11.86 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 80.58/11.86 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 80.58/11.86 $i(v2) & $i(v1) & $i(v0) & ( ~ (v15 = e13) | v3 = e12 | v2 = e12 | v1 = e12
% 80.58/11.86 | v0 = e12) & ( ~ (v14 = e13) | v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11)
% 80.58/11.86 & ( ~ (v13 = e13) | v3 = e10 | v2 = e10 | v1 = e10 | v0 = e10) & ( ~ (v12 =
% 80.58/11.86 e12) | v3 = e13 | v2 = e13 | v1 = e13 | v0 = e13) & ( ~ (v11 = e12) | v3
% 80.58/11.86 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & ( ~ (v10 = e12) | v3 = e10 | v2
% 80.58/11.86 = e10 | v1 = e10 | v0 = e10) & ( ~ (v9 = e11) | v3 = e13 | v2 = e13 | v1 =
% 80.58/11.86 e13 | v0 = e13) & ( ~ (v8 = e11) | v3 = e12 | v2 = e12 | v1 = e12 | v0 =
% 80.58/11.86 e12) & ( ~ (v7 = e11) | v3 = e10 | v2 = e10 | v1 = e10 | v0 = e10) & ( ~
% 80.58/11.86 (v6 = e10) | v3 = e13 | v2 = e13 | v1 = e13 | v0 = e13) & ( ~ (v5 = e10) |
% 80.58/11.86 v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & ( ~ (v4 = e10) | v3 = e11 |
% 80.58/11.86 v2 = e11 | v1 = e11 | v0 = e11) & ((v15 = e13 & v12 = e13 & ~ (v31 = e13)
% 80.58/11.86 & ~ (v30 = e12) & ~ (v29 = e11) & ~ (v28 = e10)) | (v15 = e12 & v12 =
% 80.58/11.86 e12 & ~ (v27 = e13) & ~ (v26 = e12) & ~ (v25 = e11) & ~ (v24 = e10))
% 80.58/11.86 | (v14 = e13 & v9 = e13 & ~ (v31 = e13) & ~ (v30 = e12) & ~ (v29 = e11)
% 80.58/11.86 & ~ (v28 = e10)) | (v14 = e11 & v9 = e11 & ~ (v23 = e13) & ~ (v22 =
% 80.58/11.86 e12) & ~ (v21 = e11) & ~ (v20 = e10)) | (v13 = e13 & v6 = e13 & ~
% 80.58/11.86 (v31 = e13) & ~ (v30 = e12) & ~ (v29 = e11) & ~ (v28 = e10)) | (v11 =
% 80.58/11.86 e12 & v8 = e12 & ~ (v27 = e13) & ~ (v26 = e12) & ~ (v25 = e11) & ~
% 80.58/11.86 (v24 = e10)) | (v11 = e11 & v8 = e11 & ~ (v23 = e13) & ~ (v22 = e12) &
% 80.58/11.86 ~ (v21 = e11) & ~ (v20 = e10)) | (v10 = e12 & v5 = e12 & ~ (v27 =
% 80.58/11.86 e13) & ~ (v26 = e12) & ~ (v25 = e11) & ~ (v24 = e10)) | (v7 = e11 &
% 80.58/11.86 v4 = e11 & ~ (v23 = e13) & ~ (v22 = e12) & ~ (v21 = e11) & ~ (v20 =
% 80.58/11.86 e10)) | (v3 = e13 & ~ (v31 = e13) & ~ (v30 = e12) & ~ (v29 = e11) &
% 80.58/11.86 ~ (v28 = e10)) | (v2 = e12 & ~ (v27 = e13) & ~ (v26 = e12) & ~ (v25
% 80.58/11.86 = e11) & ~ (v24 = e10)) | (v1 = e11 & ~ (v23 = e13) & ~ (v22 = e12)
% 80.58/11.86 & ~ (v21 = e11) & ~ (v20 = e10)) | ( ~ (v19 = e13) & ~ (v18 = e12) &
% 80.58/11.86 ~ (v17 = e11) & ~ (v16 = e10) & (v0 = e10 | (v13 = e10 & v6 = e10) |
% 80.58/11.86 (v10 = e10 & v5 = e10) | (v7 = e10 & v4 = e10)))))
% 80.58/11.86
% 80.58/11.86 (ax11)
% 80.58/11.88 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 80.58/11.88 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 80.58/11.88 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 80.58/11.88 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 80.58/11.88 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 80.58/11.88 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 80.58/11.88 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v15) = v30
% 80.58/11.88 & op2(e23, v14) = v29 & op2(e23, v13) = v28 & op2(e23, v3) = v31 & op2(e23,
% 80.58/11.88 e23) = v3 & op2(e23, e22) = v15 & op2(e23, e21) = v14 & op2(e23, e20) =
% 80.58/11.88 v13 & op2(e22, v12) = v27 & op2(e22, v11) = v25 & op2(e22, v10) = v24 &
% 80.58/11.88 op2(e22, v2) = v26 & op2(e22, e23) = v12 & op2(e22, e22) = v2 & op2(e22,
% 80.58/11.88 e21) = v11 & op2(e22, e20) = v10 & op2(e21, v9) = v23 & op2(e21, v8) = v22
% 80.58/11.88 & op2(e21, v7) = v20 & op2(e21, v1) = v21 & op2(e21, e23) = v9 & op2(e21,
% 80.58/11.88 e22) = v8 & op2(e21, e21) = v1 & op2(e21, e20) = v7 & op2(e20, v6) = v19 &
% 80.58/11.88 op2(e20, v5) = v18 & op2(e20, v4) = v17 & op2(e20, v0) = v16 & op2(e20, e23)
% 80.58/11.88 = v6 & op2(e20, e22) = v5 & op2(e20, e21) = v4 & op2(e20, e20) = v0 &
% 80.58/11.88 $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 80.58/11.88 $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 80.58/11.88 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 80.58/11.88 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 80.58/11.88 $i(v2) & $i(v1) & $i(v0) & ( ~ (v15 = e23) | v3 = e22 | v2 = e22 | v1 = e22
% 80.58/11.88 | v0 = e22) & ( ~ (v14 = e23) | v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21)
% 80.58/11.88 & ( ~ (v13 = e23) | v3 = e20 | v2 = e20 | v1 = e20 | v0 = e20) & ( ~ (v12 =
% 80.58/11.88 e22) | v3 = e23 | v2 = e23 | v1 = e23 | v0 = e23) & ( ~ (v11 = e22) | v3
% 80.58/11.88 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & ( ~ (v10 = e22) | v3 = e20 | v2
% 80.58/11.88 = e20 | v1 = e20 | v0 = e20) & ( ~ (v9 = e21) | v3 = e23 | v2 = e23 | v1 =
% 80.58/11.88 e23 | v0 = e23) & ( ~ (v8 = e21) | v3 = e22 | v2 = e22 | v1 = e22 | v0 =
% 80.58/11.88 e22) & ( ~ (v7 = e21) | v3 = e20 | v2 = e20 | v1 = e20 | v0 = e20) & ( ~
% 80.58/11.88 (v6 = e20) | v3 = e23 | v2 = e23 | v1 = e23 | v0 = e23) & ( ~ (v5 = e20) |
% 80.58/11.88 v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & ( ~ (v4 = e20) | v3 = e21 |
% 80.58/11.88 v2 = e21 | v1 = e21 | v0 = e21) & ((v15 = e23 & v12 = e23 & ~ (v31 = e23)
% 80.58/11.88 & ~ (v30 = e22) & ~ (v29 = e21) & ~ (v28 = e20)) | (v15 = e22 & v12 =
% 80.58/11.88 e22 & ~ (v27 = e23) & ~ (v26 = e22) & ~ (v25 = e21) & ~ (v24 = e20))
% 80.58/11.88 | (v14 = e23 & v9 = e23 & ~ (v31 = e23) & ~ (v30 = e22) & ~ (v29 = e21)
% 80.58/11.88 & ~ (v28 = e20)) | (v14 = e21 & v9 = e21 & ~ (v23 = e23) & ~ (v22 =
% 80.58/11.88 e22) & ~ (v21 = e21) & ~ (v20 = e20)) | (v13 = e23 & v6 = e23 & ~
% 80.58/11.88 (v31 = e23) & ~ (v30 = e22) & ~ (v29 = e21) & ~ (v28 = e20)) | (v11 =
% 80.58/11.88 e22 & v8 = e22 & ~ (v27 = e23) & ~ (v26 = e22) & ~ (v25 = e21) & ~
% 80.58/11.88 (v24 = e20)) | (v11 = e21 & v8 = e21 & ~ (v23 = e23) & ~ (v22 = e22) &
% 80.58/11.88 ~ (v21 = e21) & ~ (v20 = e20)) | (v10 = e22 & v5 = e22 & ~ (v27 =
% 80.58/11.88 e23) & ~ (v26 = e22) & ~ (v25 = e21) & ~ (v24 = e20)) | (v7 = e21 &
% 80.58/11.88 v4 = e21 & ~ (v23 = e23) & ~ (v22 = e22) & ~ (v21 = e21) & ~ (v20 =
% 80.58/11.88 e20)) | (v3 = e23 & ~ (v31 = e23) & ~ (v30 = e22) & ~ (v29 = e21) &
% 80.58/11.88 ~ (v28 = e20)) | (v2 = e22 & ~ (v27 = e23) & ~ (v26 = e22) & ~ (v25
% 80.58/11.88 = e21) & ~ (v24 = e20)) | (v1 = e21 & ~ (v23 = e23) & ~ (v22 = e22)
% 80.58/11.88 & ~ (v21 = e21) & ~ (v20 = e20)) | ( ~ (v19 = e23) & ~ (v18 = e22) &
% 80.58/11.88 ~ (v17 = e21) & ~ (v16 = e20) & (v0 = e20 | (v13 = e20 & v6 = e20) |
% 80.58/11.88 (v10 = e20 & v5 = e20) | (v7 = e20 & v4 = e20)))))
% 80.58/11.88
% 80.58/11.88 (ax12)
% 80.58/11.88 op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e12, e12) = e13 & $i(e13) &
% 80.58/11.88 $i(e12) & $i(e11) & $i(e10)
% 80.58/11.88
% 80.58/11.88 (ax13)
% 80.58/11.88 op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e22, e22) = e23 & $i(e23) &
% 80.58/11.88 $i(e22) & $i(e21) & $i(e20)
% 80.58/11.88
% 80.58/11.88 (ax14)
% 80.58/11.89 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 80.58/11.89 ? [v2: $i] : (h1(e13) = v1 & h1(e12) = e20 & h1(e11) = v2 & h1(e10) = v0 &
% 80.58/11.89 op2(v1, v1) = v2 & op2(v1, e20) = v0 & op2(e20, e20) = v1 & $i(v2) & $i(v1)
% 80.58/11.89 & $i(v0))
% 80.58/11.89
% 80.58/11.89 (ax15)
% 80.58/11.89 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 80.58/11.89 ? [v2: $i] : (h2(e13) = v1 & h2(e12) = e21 & h2(e11) = v2 & h2(e10) = v0 &
% 80.58/11.89 op2(v1, v1) = v2 & op2(v1, e21) = v0 & op2(e21, e21) = v1 & $i(v2) & $i(v1)
% 80.58/11.89 & $i(v0))
% 80.58/11.89
% 80.58/11.89 (ax16)
% 80.58/11.89 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 80.58/11.89 ? [v2: $i] : (h3(e13) = v1 & h3(e12) = e22 & h3(e11) = v2 & h3(e10) = v0 &
% 80.58/11.89 op2(v1, v1) = v2 & op2(v1, e22) = v0 & op2(e22, e22) = v1 & $i(v2) & $i(v1)
% 80.58/11.89 & $i(v0))
% 80.58/11.89
% 80.58/11.89 (ax17)
% 80.58/11.89 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 80.58/11.89 ? [v2: $i] : (h4(e13) = v1 & h4(e12) = e23 & h4(e11) = v2 & h4(e10) = v0 &
% 80.58/11.89 op2(v1, v1) = v2 & op2(v1, e23) = v0 & op2(e23, e23) = v1 & $i(v2) & $i(v1)
% 80.58/11.89 & $i(v0))
% 80.58/11.89
% 80.58/11.89 (ax2)
% 80.58/11.91 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 80.58/11.91 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 80.58/11.91 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 80.58/11.91 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 80.58/11.91 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 80.58/11.91 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 80.58/11.91 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 &
% 80.58/11.91 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 80.58/11.91 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 80.58/11.91 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 80.58/11.91 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 =
% 80.58/11.91 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 80.58/11.91 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 =
% 80.58/11.91 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 =
% 80.58/11.91 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 =
% 80.58/11.91 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13)
% 80.58/11.91 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 |
% 80.58/11.91 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) &
% 80.58/11.91 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 |
% 80.58/11.91 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) &
% 80.58/11.91 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 80.58/11.91 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 =
% 80.58/11.91 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10
% 80.58/11.91 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 80.58/11.91 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11)
% 80.58/11.91 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 =
% 80.58/11.91 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11
% 80.58/11.91 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 =
% 80.58/11.91 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11
% 80.58/11.91 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) &
% 80.58/11.91 (v3 = e10 | v2 = e10 | v1 = e10))))
% 80.58/11.91
% 80.58/11.91 (ax3)
% 80.58/11.92 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 80.58/11.92 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 80.58/11.92 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 80.58/11.92 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 80.58/11.92 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 80.58/11.92 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 80.58/11.92 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 &
% 80.58/11.92 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 80.58/11.92 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 80.58/11.92 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 80.58/11.92 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14
% 80.58/11.92 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13
% 80.58/11.92 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 |
% 80.58/11.92 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 |
% 80.58/11.92 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8
% 80.58/11.92 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 80.58/11.92 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 =
% 80.58/11.92 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23
% 80.58/11.92 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 =
% 80.58/11.92 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 80.58/11.92 | v0 = e21 | v0 = e20))
% 80.58/11.92
% 80.58/11.92 (ax4)
% 80.86/11.93 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 80.86/11.93 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 80.86/11.93 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 80.86/11.93 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 80.86/11.93 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 80.86/11.93 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 80.86/11.93 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 &
% 80.86/11.93 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 80.86/11.93 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 80.86/11.93 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 80.86/11.93 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 =
% 80.86/11.93 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 80.86/11.93 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 =
% 80.86/11.93 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 =
% 80.86/11.93 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 =
% 80.86/11.93 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23)
% 80.86/11.93 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 |
% 80.86/11.93 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) &
% 80.86/11.93 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 |
% 80.86/11.93 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) &
% 80.86/11.93 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 80.86/11.93 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 =
% 80.86/11.93 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20
% 80.86/11.93 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 80.86/11.93 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21)
% 80.86/11.93 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 =
% 80.86/11.93 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21
% 80.86/11.93 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 =
% 80.86/11.93 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21
% 80.86/11.93 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) &
% 80.86/11.93 (v3 = e20 | v2 = e20 | v1 = e20))))
% 80.86/11.93
% 80.86/11.93 (ax5)
% 80.86/11.93 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 80.86/11.93 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 80.86/11.93 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 80.86/11.94 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 80.86/11.94 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 80.86/11.94 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 80.86/11.94 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 80.86/11.94 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 80.86/11.94 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 80.86/11.94 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 80.86/11.94 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 80.86/11.94 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 80.86/11.94 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 80.86/11.94 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13,
% 80.86/11.94 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14
% 80.86/11.94 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11,
% 80.86/11.94 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1
% 80.86/11.94 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10,
% 80.86/11.94 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 80.86/11.94 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 80.86/11.94 $i(v1) & $i(v0))
% 80.86/11.94
% 80.86/11.94 (ax6)
% 80.86/11.94 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 80.86/11.94 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 80.86/11.94 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 80.86/11.94 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 80.86/11.94 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 80.86/11.94 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 80.86/11.94 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 80.86/11.94 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 80.86/11.94 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 80.86/11.94 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 80.86/11.94 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 80.86/11.94 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 80.86/11.94 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 80.86/11.94 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23,
% 80.86/11.94 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14
% 80.86/11.94 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21,
% 80.86/11.94 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1
% 80.86/11.94 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20,
% 80.86/11.94 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 80.86/11.94 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 80.86/11.94 $i(v1) & $i(v0))
% 80.86/11.94
% 80.86/11.94 (ax7)
% 80.86/11.94 ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 =
% 80.86/11.94 e10) & ~ (e11 = e10) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 80.86/11.94
% 80.86/11.94 (ax8)
% 80.86/11.94 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 80.86/11.94 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 80.86/11.94
% 80.86/11.94 (co1)
% 80.86/11.96 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 80.86/11.96 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 80.86/11.96 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 80.86/11.96 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 80.86/11.96 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 80.86/11.96 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 80.86/11.96 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 80.86/11.96 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 80.86/11.96 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 80.86/11.96 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 80.86/11.96 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 80.86/11.96 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 80.86/11.96 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 80.86/11.96 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 80.86/11.96 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 80.86/11.96 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 80.86/11.96 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 80.86/11.96 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 80.86/11.96 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 80.86/11.96 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 80.86/11.96 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 80.86/11.96 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 80.86/11.96 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 80.86/11.96 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 80.86/11.96 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 80.86/11.96 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 80.86/11.96 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 80.86/11.96 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 80.86/11.96 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 80.86/11.96 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 80.86/11.96 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 80.86/11.96 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 80.86/11.96 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 80.86/11.96 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) =
% 80.86/11.96 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 80.86/11.96 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16)
% 80.86/11.96 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 &
% 80.86/11.96 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49)
% 80.86/11.96 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 &
% 80.86/11.96 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22)
% 80.86/11.96 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 &
% 80.86/11.96 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92
% 80.86/11.96 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) =
% 80.86/11.96 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 &
% 80.86/11.96 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) =
% 80.86/11.96 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) =
% 80.86/11.96 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 &
% 80.86/11.96 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) =
% 80.86/11.96 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 &
% 80.86/11.96 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 &
% 80.86/11.96 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134,
% 80.86/11.96 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 80.86/11.96 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131,
% 80.86/11.96 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 80.86/11.96 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125,
% 80.86/11.96 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125,
% 80.86/11.96 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92)
% 80.86/11.96 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113
% 80.86/11.96 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 80.86/11.96 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 80.86/11.96 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 80.86/11.96 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 80.86/11.96 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 80.86/11.96 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 80.86/11.96 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 80.86/11.96 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 80.86/11.96 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 80.86/11.96 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 80.86/11.96 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 80.86/11.96 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 80.86/11.96 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 80.86/11.96 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 80.86/11.96 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 80.86/11.96 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 80.86/11.96 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 80.86/11.96 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 80.86/11.96 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 80.86/11.96 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 80.86/11.96 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 80.86/11.96 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 80.86/11.96 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 80.86/11.96 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 80.86/11.96 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 80.86/11.96 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 80.86/11.96 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 80.86/11.96 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 80.86/11.96 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 80.86/11.96 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 80.86/11.96 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 80.86/11.96 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 80.86/11.96 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 80.86/11.96 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 80.86/11.96 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 80.86/11.96 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 80.86/11.96 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 80.86/11.96 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 80.86/11.96 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 80.86/11.96 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 80.86/11.96 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 80.86/11.96 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 80.86/11.96 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 80.86/11.96 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 80.86/11.96 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 80.86/11.96 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 80.86/11.96 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 80.86/11.96 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 80.86/11.96 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 80.86/11.96 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 80.86/11.96 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 80.86/11.96 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 80.86/11.96 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 80.86/11.96 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 80.86/11.96 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 80.86/11.96 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 80.86/11.96 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 80.86/11.96 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 80.86/11.96 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 80.86/11.96 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 80.86/11.96 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 80.86/11.96 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 80.86/11.96 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 80.86/11.96 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 80.86/11.96 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 80.86/11.96 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 80.86/11.96 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 80.86/11.96 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 80.86/11.96 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 80.86/11.96 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 80.86/11.96 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 80.86/11.96 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 80.86/11.96
% 80.86/11.96 (function-axioms)
% 80.86/11.97 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 80.86/11.97 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 80.86/11.97 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 80.86/11.97 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 80.86/11.97 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 80.86/11.97 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 80.86/11.97 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 80.86/11.97 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 80.86/11.97
% 80.86/11.97 Further assumptions not needed in the proof:
% 80.86/11.97 --------------------------------------------
% 80.86/11.97 ax9
% 80.86/11.97
% 80.86/11.97 Those formulas are unsatisfiable:
% 80.86/11.97 ---------------------------------
% 80.86/11.97
% 80.86/11.97 Begin of proof
% 80.86/11.97 |
% 80.86/11.97 | ALPHA: (ax1) implies:
% 81.12/11.97 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/11.97 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 81.12/11.97 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 81.12/11.97 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 81.12/11.97 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12,
% 81.12/11.97 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 81.12/11.97 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10)
% 81.12/11.97 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 81.12/11.98 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 81.12/11.98 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 81.12/11.98 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 81.12/11.98 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 81.12/11.98 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 81.12/11.98 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 81.12/11.98 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 81.12/11.98 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 81.12/11.98 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 81.12/11.98 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 81.12/11.98 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 81.12/11.98 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 81.12/11.98 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 81.12/11.98 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 81.12/11.98 |
% 81.12/11.98 | ALPHA: (ax2) implies:
% 81.12/11.98 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/11.98 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 81.12/11.98 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 81.12/11.98 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 81.12/11.98 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12,
% 81.12/11.98 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 81.12/11.98 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10)
% 81.12/11.98 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 81.12/11.98 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 81.12/11.98 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 81.12/11.98 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 =
% 81.12/11.98 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) &
% 81.12/11.98 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 =
% 81.12/11.98 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 |
% 81.12/11.98 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 =
% 81.12/11.98 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 |
% 81.12/11.98 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 =
% 81.12/11.98 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 |
% 81.12/11.98 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 =
% 81.12/11.98 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) &
% 81.12/11.98 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 =
% 81.12/11.98 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 |
% 81.12/11.98 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 =
% 81.12/11.98 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 |
% 81.12/11.98 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 =
% 81.12/11.98 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 81.12/11.98 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4
% 81.12/11.98 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 |
% 81.12/11.98 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 |
% 81.12/11.98 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13
% 81.12/11.98 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12
% 81.12/11.98 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 =
% 81.12/11.98 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1
% 81.12/11.98 | = e10))))
% 81.12/11.98 |
% 81.12/11.98 | ALPHA: (ax3) implies:
% 81.12/11.99 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/11.99 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 81.12/11.99 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 81.12/11.99 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 81.12/11.99 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22,
% 81.12/11.99 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 81.12/11.99 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20)
% 81.12/11.99 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 81.12/11.99 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 81.12/11.99 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 81.12/11.99 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 =
% 81.12/11.99 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20)
% 81.12/11.99 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12
% 81.12/11.99 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21
% 81.12/11.99 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) &
% 81.12/11.99 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 |
% 81.12/11.99 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 81.12/11.99 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22
% 81.12/11.99 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 =
% 81.12/11.99 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2
% 81.12/11.99 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1
% 81.12/11.99 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 81.12/11.99 |
% 81.12/11.99 | ALPHA: (ax4) implies:
% 81.12/11.99 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/11.99 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 81.12/11.99 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 81.12/11.99 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 81.12/11.99 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22,
% 81.12/11.99 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 81.12/11.99 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20)
% 81.12/11.99 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 81.12/11.99 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 81.12/11.99 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 81.12/11.99 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 =
% 81.12/11.99 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) &
% 81.12/11.99 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 =
% 81.12/11.99 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 |
% 81.12/11.99 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 =
% 81.12/11.99 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 |
% 81.12/11.99 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 =
% 81.12/11.99 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 |
% 81.12/11.99 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 =
% 81.12/11.99 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) &
% 81.12/11.99 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 =
% 81.12/11.99 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 |
% 81.12/11.99 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 =
% 81.12/11.99 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 |
% 81.12/11.99 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 =
% 81.12/11.99 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 81.12/11.99 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4
% 81.12/11.99 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 |
% 81.12/11.99 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 |
% 81.12/11.99 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23
% 81.12/11.99 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22
% 81.12/11.99 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 =
% 81.12/11.99 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1
% 81.12/11.99 | = e20))))
% 81.12/11.99 |
% 81.12/11.99 | ALPHA: (ax5) implies:
% 81.12/12.00 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/12.00 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 81.12/12.00 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 81.12/12.00 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 81.12/12.00 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 81.12/12.00 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 81.12/12.00 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 81.12/12.00 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 81.12/12.00 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 81.12/12.00 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 81.12/12.00 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 81.12/12.00 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 81.12/12.00 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 81.12/12.00 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 81.12/12.00 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 &
% 81.12/12.00 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 &
% 81.12/12.00 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 &
% 81.12/12.00 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 &
% 81.12/12.00 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 &
% 81.12/12.00 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13)
% 81.12/12.00 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 81.12/12.00 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 81.12/12.00 |
% 81.12/12.00 | ALPHA: (ax6) implies:
% 81.12/12.00 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/12.00 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 81.12/12.00 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 81.12/12.00 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 81.12/12.00 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 81.12/12.00 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 81.12/12.00 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 81.12/12.00 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 81.12/12.00 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 81.12/12.00 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 81.12/12.00 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 81.12/12.00 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 81.12/12.00 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 81.12/12.00 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 81.12/12.00 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 &
% 81.12/12.00 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 &
% 81.12/12.00 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 &
% 81.12/12.00 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 &
% 81.12/12.00 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 &
% 81.12/12.00 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13)
% 81.12/12.00 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 81.12/12.00 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 81.12/12.00 |
% 81.12/12.00 | ALPHA: (ax7) implies:
% 81.12/12.00 | (7) ~ (e12 = e10)
% 81.12/12.00 | (8) ~ (e12 = e11)
% 81.12/12.00 | (9) ~ (e13 = e11)
% 81.12/12.00 | (10) ~ (e13 = e12)
% 81.12/12.00 |
% 81.12/12.00 | ALPHA: (ax8) implies:
% 81.12/12.00 | (11) ~ (e23 = e21)
% 81.12/12.00 |
% 81.12/12.00 | ALPHA: (ax10) implies:
% 81.12/12.01 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/12.01 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 81.12/12.01 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 81.12/12.01 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 81.12/12.01 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 81.12/12.01 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 81.12/12.01 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v15) =
% 81.12/12.01 | v30 & op1(e13, v14) = v29 & op1(e13, v13) = v28 & op1(e13, v3) = v31
% 81.12/12.01 | & op1(e13, e13) = v3 & op1(e13, e12) = v15 & op1(e13, e11) = v14 &
% 81.12/12.01 | op1(e13, e10) = v13 & op1(e12, v12) = v27 & op1(e12, v11) = v25 &
% 81.12/12.01 | op1(e12, v10) = v24 & op1(e12, v2) = v26 & op1(e12, e13) = v12 &
% 81.12/12.01 | op1(e12, e12) = v2 & op1(e12, e11) = v11 & op1(e12, e10) = v10 &
% 81.12/12.01 | op1(e11, v9) = v23 & op1(e11, v8) = v22 & op1(e11, v7) = v20 &
% 81.12/12.01 | op1(e11, v1) = v21 & op1(e11, e13) = v9 & op1(e11, e12) = v8 &
% 81.12/12.01 | op1(e11, e11) = v1 & op1(e11, e10) = v7 & op1(e10, v6) = v19 &
% 81.12/12.01 | op1(e10, v5) = v18 & op1(e10, v4) = v17 & op1(e10, v0) = v16 &
% 81.12/12.01 | op1(e10, e13) = v6 & op1(e10, e12) = v5 & op1(e10, e11) = v4 &
% 81.12/12.01 | op1(e10, e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 81.12/12.01 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 81.12/12.01 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 81.12/12.01 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 81.12/12.01 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 81.12/12.01 | (v15 = e13) | v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & ( ~
% 81.12/12.01 | (v14 = e13) | v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & ( ~
% 81.12/12.01 | (v13 = e13) | v3 = e10 | v2 = e10 | v1 = e10 | v0 = e10) & ( ~
% 81.12/12.01 | (v12 = e12) | v3 = e13 | v2 = e13 | v1 = e13 | v0 = e13) & ( ~
% 81.12/12.01 | (v11 = e12) | v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & ( ~
% 81.12/12.01 | (v10 = e12) | v3 = e10 | v2 = e10 | v1 = e10 | v0 = e10) & ( ~ (v9
% 81.12/12.01 | = e11) | v3 = e13 | v2 = e13 | v1 = e13 | v0 = e13) & ( ~ (v8 =
% 81.12/12.01 | e11) | v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & ( ~ (v7 =
% 81.12/12.01 | e11) | v3 = e10 | v2 = e10 | v1 = e10 | v0 = e10) & ( ~ (v6 =
% 81.12/12.01 | e10) | v3 = e13 | v2 = e13 | v1 = e13 | v0 = e13) & ( ~ (v5 =
% 81.12/12.01 | e10) | v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & ( ~ (v4 =
% 81.12/12.01 | e10) | v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & ((v15 = e13
% 81.12/12.01 | & v12 = e13 & ~ (v31 = e13) & ~ (v30 = e12) & ~ (v29 = e11) &
% 81.12/12.01 | ~ (v28 = e10)) | (v15 = e12 & v12 = e12 & ~ (v27 = e13) & ~
% 81.12/12.01 | (v26 = e12) & ~ (v25 = e11) & ~ (v24 = e10)) | (v14 = e13 & v9
% 81.12/12.01 | = e13 & ~ (v31 = e13) & ~ (v30 = e12) & ~ (v29 = e11) & ~
% 81.12/12.01 | (v28 = e10)) | (v14 = e11 & v9 = e11 & ~ (v23 = e13) & ~ (v22
% 81.12/12.01 | = e12) & ~ (v21 = e11) & ~ (v20 = e10)) | (v13 = e13 & v6 =
% 81.12/12.01 | e13 & ~ (v31 = e13) & ~ (v30 = e12) & ~ (v29 = e11) & ~ (v28
% 81.12/12.01 | = e10)) | (v11 = e12 & v8 = e12 & ~ (v27 = e13) & ~ (v26 =
% 81.12/12.01 | e12) & ~ (v25 = e11) & ~ (v24 = e10)) | (v11 = e11 & v8 =
% 81.12/12.01 | e11 & ~ (v23 = e13) & ~ (v22 = e12) & ~ (v21 = e11) & ~ (v20
% 81.12/12.01 | = e10)) | (v10 = e12 & v5 = e12 & ~ (v27 = e13) & ~ (v26 =
% 81.12/12.01 | e12) & ~ (v25 = e11) & ~ (v24 = e10)) | (v7 = e11 & v4 = e11
% 81.12/12.01 | & ~ (v23 = e13) & ~ (v22 = e12) & ~ (v21 = e11) & ~ (v20 =
% 81.12/12.01 | e10)) | (v3 = e13 & ~ (v31 = e13) & ~ (v30 = e12) & ~ (v29
% 81.12/12.01 | = e11) & ~ (v28 = e10)) | (v2 = e12 & ~ (v27 = e13) & ~
% 81.12/12.01 | (v26 = e12) & ~ (v25 = e11) & ~ (v24 = e10)) | (v1 = e11 & ~
% 81.12/12.01 | (v23 = e13) & ~ (v22 = e12) & ~ (v21 = e11) & ~ (v20 = e10))
% 81.12/12.01 | | ( ~ (v19 = e13) & ~ (v18 = e12) & ~ (v17 = e11) & ~ (v16 =
% 81.12/12.01 | e10) & (v0 = e10 | (v13 = e10 & v6 = e10) | (v10 = e10 & v5 =
% 81.12/12.01 | e10) | (v7 = e10 & v4 = e10)))))
% 81.12/12.01 |
% 81.12/12.01 | ALPHA: (ax11) implies:
% 81.12/12.02 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/12.02 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 81.12/12.02 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 81.12/12.02 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 81.12/12.02 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 81.12/12.02 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 81.12/12.02 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v15) =
% 81.12/12.02 | v30 & op2(e23, v14) = v29 & op2(e23, v13) = v28 & op2(e23, v3) = v31
% 81.12/12.02 | & op2(e23, e23) = v3 & op2(e23, e22) = v15 & op2(e23, e21) = v14 &
% 81.12/12.02 | op2(e23, e20) = v13 & op2(e22, v12) = v27 & op2(e22, v11) = v25 &
% 81.12/12.02 | op2(e22, v10) = v24 & op2(e22, v2) = v26 & op2(e22, e23) = v12 &
% 81.12/12.02 | op2(e22, e22) = v2 & op2(e22, e21) = v11 & op2(e22, e20) = v10 &
% 81.12/12.02 | op2(e21, v9) = v23 & op2(e21, v8) = v22 & op2(e21, v7) = v20 &
% 81.12/12.02 | op2(e21, v1) = v21 & op2(e21, e23) = v9 & op2(e21, e22) = v8 &
% 81.12/12.02 | op2(e21, e21) = v1 & op2(e21, e20) = v7 & op2(e20, v6) = v19 &
% 81.12/12.02 | op2(e20, v5) = v18 & op2(e20, v4) = v17 & op2(e20, v0) = v16 &
% 81.12/12.02 | op2(e20, e23) = v6 & op2(e20, e22) = v5 & op2(e20, e21) = v4 &
% 81.12/12.02 | op2(e20, e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 81.12/12.02 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 81.12/12.02 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 81.12/12.02 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 81.12/12.02 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 81.12/12.02 | (v15 = e23) | v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & ( ~
% 81.12/12.02 | (v14 = e23) | v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & ( ~
% 81.12/12.02 | (v13 = e23) | v3 = e20 | v2 = e20 | v1 = e20 | v0 = e20) & ( ~
% 81.12/12.02 | (v12 = e22) | v3 = e23 | v2 = e23 | v1 = e23 | v0 = e23) & ( ~
% 81.12/12.02 | (v11 = e22) | v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & ( ~
% 81.12/12.02 | (v10 = e22) | v3 = e20 | v2 = e20 | v1 = e20 | v0 = e20) & ( ~ (v9
% 81.12/12.02 | = e21) | v3 = e23 | v2 = e23 | v1 = e23 | v0 = e23) & ( ~ (v8 =
% 81.12/12.02 | e21) | v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & ( ~ (v7 =
% 81.12/12.02 | e21) | v3 = e20 | v2 = e20 | v1 = e20 | v0 = e20) & ( ~ (v6 =
% 81.12/12.02 | e20) | v3 = e23 | v2 = e23 | v1 = e23 | v0 = e23) & ( ~ (v5 =
% 81.12/12.02 | e20) | v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & ( ~ (v4 =
% 81.12/12.02 | e20) | v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & ((v15 = e23
% 81.12/12.02 | & v12 = e23 & ~ (v31 = e23) & ~ (v30 = e22) & ~ (v29 = e21) &
% 81.12/12.02 | ~ (v28 = e20)) | (v15 = e22 & v12 = e22 & ~ (v27 = e23) & ~
% 81.12/12.02 | (v26 = e22) & ~ (v25 = e21) & ~ (v24 = e20)) | (v14 = e23 & v9
% 81.12/12.02 | = e23 & ~ (v31 = e23) & ~ (v30 = e22) & ~ (v29 = e21) & ~
% 81.12/12.02 | (v28 = e20)) | (v14 = e21 & v9 = e21 & ~ (v23 = e23) & ~ (v22
% 81.12/12.02 | = e22) & ~ (v21 = e21) & ~ (v20 = e20)) | (v13 = e23 & v6 =
% 81.12/12.02 | e23 & ~ (v31 = e23) & ~ (v30 = e22) & ~ (v29 = e21) & ~ (v28
% 81.12/12.02 | = e20)) | (v11 = e22 & v8 = e22 & ~ (v27 = e23) & ~ (v26 =
% 81.12/12.02 | e22) & ~ (v25 = e21) & ~ (v24 = e20)) | (v11 = e21 & v8 =
% 81.12/12.02 | e21 & ~ (v23 = e23) & ~ (v22 = e22) & ~ (v21 = e21) & ~ (v20
% 81.12/12.02 | = e20)) | (v10 = e22 & v5 = e22 & ~ (v27 = e23) & ~ (v26 =
% 81.12/12.02 | e22) & ~ (v25 = e21) & ~ (v24 = e20)) | (v7 = e21 & v4 = e21
% 81.12/12.02 | & ~ (v23 = e23) & ~ (v22 = e22) & ~ (v21 = e21) & ~ (v20 =
% 81.12/12.02 | e20)) | (v3 = e23 & ~ (v31 = e23) & ~ (v30 = e22) & ~ (v29
% 81.12/12.02 | = e21) & ~ (v28 = e20)) | (v2 = e22 & ~ (v27 = e23) & ~
% 81.12/12.02 | (v26 = e22) & ~ (v25 = e21) & ~ (v24 = e20)) | (v1 = e21 & ~
% 81.12/12.02 | (v23 = e23) & ~ (v22 = e22) & ~ (v21 = e21) & ~ (v20 = e20))
% 81.12/12.02 | | ( ~ (v19 = e23) & ~ (v18 = e22) & ~ (v17 = e21) & ~ (v16 =
% 81.12/12.02 | e20) & (v0 = e20 | (v13 = e20 & v6 = e20) | (v10 = e20 & v5 =
% 81.12/12.02 | e20) | (v7 = e20 & v4 = e20)))))
% 81.12/12.02 |
% 81.12/12.02 | ALPHA: (ax12) implies:
% 81.12/12.02 | (14) op1(e12, e12) = e13
% 81.12/12.02 | (15) op1(e13, e12) = e10
% 81.12/12.02 | (16) op1(e13, e13) = e11
% 81.12/12.02 |
% 81.12/12.02 | ALPHA: (ax13) implies:
% 81.12/12.02 | (17) op2(e22, e22) = e23
% 81.12/12.02 | (18) op2(e23, e22) = e20
% 81.12/12.02 | (19) op2(e23, e23) = e21
% 81.12/12.02 |
% 81.12/12.02 | ALPHA: (ax14) implies:
% 81.12/12.02 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = v1 & h1(e12) =
% 81.12/12.02 | e20 & h1(e11) = v2 & h1(e10) = v0 & op2(v1, v1) = v2 & op2(v1, e20)
% 81.12/12.02 | = v0 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0))
% 81.12/12.02 |
% 81.12/12.02 | ALPHA: (ax15) implies:
% 81.12/12.02 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = v1 & h2(e12) =
% 81.12/12.02 | e21 & h2(e11) = v2 & h2(e10) = v0 & op2(v1, v1) = v2 & op2(v1, e21)
% 81.12/12.02 | = v0 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0))
% 81.12/12.02 |
% 81.12/12.02 | ALPHA: (ax16) implies:
% 81.12/12.02 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = v1 & h3(e12) =
% 81.12/12.02 | e22 & h3(e11) = v2 & h3(e10) = v0 & op2(v1, v1) = v2 & op2(v1, e22)
% 81.12/12.02 | = v0 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0))
% 81.12/12.02 |
% 81.12/12.02 | ALPHA: (ax17) implies:
% 81.12/12.02 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = v1 & h4(e12) =
% 81.12/12.02 | e23 & h4(e11) = v2 & h4(e10) = v0 & op2(v1, v1) = v2 & op2(v1, e23)
% 81.12/12.02 | = v0 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0))
% 81.12/12.02 |
% 81.12/12.02 | ALPHA: (co1) implies:
% 81.12/12.03 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 81.12/12.03 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 81.12/12.03 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 81.12/12.03 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 81.12/12.03 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 81.12/12.03 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 81.12/12.03 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 81.12/12.03 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 81.12/12.03 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 81.12/12.03 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 81.12/12.03 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 81.12/12.03 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 81.12/12.03 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 81.12/12.03 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 81.12/12.03 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 81.12/12.03 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 81.12/12.03 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 81.12/12.03 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 81.12/12.03 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 81.12/12.03 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 81.12/12.03 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 81.12/12.03 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 81.12/12.03 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 81.12/12.03 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 81.12/12.03 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 81.12/12.03 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 81.12/12.03 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 81.12/12.03 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 81.12/12.03 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 81.12/12.03 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 81.12/12.03 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 81.12/12.03 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 81.12/12.03 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 81.12/12.03 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 81.12/12.03 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 81.12/12.03 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 &
% 81.12/12.03 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 81.12/12.03 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 &
% 81.12/12.03 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 &
% 81.12/12.03 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 &
% 81.12/12.03 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 &
% 81.12/12.03 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 &
% 81.12/12.03 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 &
% 81.12/12.03 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 &
% 81.12/12.03 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 &
% 81.12/12.03 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 &
% 81.12/12.03 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 &
% 81.12/12.03 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 &
% 81.12/12.03 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0)
% 81.12/12.03 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) =
% 81.12/12.03 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41
% 81.12/12.03 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 &
% 81.12/12.03 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 &
% 81.12/12.03 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) =
% 81.12/12.03 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134)
% 81.12/12.03 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 81.12/12.03 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 &
% 81.12/12.03 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) =
% 81.12/12.03 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128,
% 81.12/12.03 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 &
% 81.12/12.03 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) =
% 81.12/12.03 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) =
% 81.12/12.03 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) =
% 81.12/12.03 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) =
% 81.12/12.03 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) =
% 81.12/12.03 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) =
% 81.12/12.03 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 81.12/12.03 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) =
% 81.12/12.03 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) =
% 81.12/12.03 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) =
% 81.12/12.03 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) =
% 81.12/12.03 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) =
% 81.12/12.03 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39
% 81.12/12.03 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 &
% 81.12/12.03 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 &
% 81.12/12.03 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 81.12/12.03 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13,
% 81.12/12.03 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12,
% 81.12/12.03 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12,
% 81.12/12.03 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11,
% 81.12/12.03 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10,
% 81.12/12.03 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) &
% 81.12/12.03 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 81.12/12.03 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) &
% 81.12/12.03 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 81.12/12.03 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) &
% 81.12/12.03 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) &
% 81.12/12.03 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 81.12/12.03 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) &
% 81.12/12.03 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 81.12/12.03 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) &
% 81.12/12.03 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 81.12/12.03 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92)
% 81.12/12.03 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) &
% 81.12/12.03 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79)
% 81.12/12.03 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 81.12/12.03 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66)
% 81.12/12.03 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 81.12/12.03 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53)
% 81.12/12.03 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 81.12/12.03 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40)
% 81.12/12.03 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 81.12/12.03 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 81.12/12.03 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 81.12/12.03 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 81.12/12.03 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 81.12/12.03 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 81.12/12.03 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 =
% 81.12/12.03 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) |
% 81.12/12.03 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139
% 81.12/12.03 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130)
% 81.12/12.03 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~
% 81.12/12.03 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 =
% 81.12/12.03 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) |
% 81.12/12.03 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 =
% 81.12/12.03 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) &
% 81.12/12.03 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~
% 81.12/12.03 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 =
% 81.12/12.03 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) |
% 81.12/12.03 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 =
% 81.12/12.03 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~
% 81.12/12.03 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23))
% 81.12/12.03 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 81.12/12.03 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~
% 81.12/12.03 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20)
% 81.12/12.03 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83
% 81.12/12.03 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~
% 81.12/12.03 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) |
% 81.12/12.03 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) |
% 81.12/12.03 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23)
% 81.12/12.03 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 =
% 81.12/12.03 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~
% 81.12/12.03 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20)
% 81.12/12.03 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 81.12/12.03 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~
% 81.12/12.03 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) |
% 81.12/12.03 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) |
% 81.12/12.03 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~
% 81.12/12.03 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) |
% 81.12/12.03 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22))
% 81.12/12.03 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 =
% 81.12/12.03 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~
% 81.12/12.03 | (v2 = e20))))
% 81.12/12.03 |
% 81.12/12.03 | ALPHA: (function-axioms) implies:
% 81.12/12.03 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 81.12/12.03 | | ~ (h1(v2) = v0))
% 81.12/12.03 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 81.12/12.03 | | ~ (h2(v2) = v0))
% 81.12/12.03 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 81.12/12.03 | | ~ (h3(v2) = v0))
% 81.12/12.03 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 81.12/12.03 | | ~ (h4(v2) = v0))
% 81.12/12.03 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 81.12/12.03 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 81.12/12.03 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 81.12/12.03 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 81.12/12.03 |
% 81.12/12.03 | DELTA: instantiating (21) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 81.12/12.03 | (31) h2(e13) = all_4_1 & h2(e12) = e21 & h2(e11) = all_4_0 & h2(e10) =
% 81.12/12.03 | all_4_2 & op2(all_4_1, all_4_1) = all_4_0 & op2(all_4_1, e21) =
% 81.12/12.03 | all_4_2 & op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) &
% 81.12/12.03 | $i(all_4_2)
% 81.12/12.03 |
% 81.12/12.03 | ALPHA: (31) implies:
% 81.12/12.03 | (32) op2(e21, e21) = all_4_1
% 81.12/12.03 | (33) h2(e12) = e21
% 81.12/12.03 |
% 81.12/12.03 | DELTA: instantiating (22) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 81.12/12.04 | (34) h3(e13) = all_6_1 & h3(e12) = e22 & h3(e11) = all_6_0 & h3(e10) =
% 81.12/12.04 | all_6_2 & op2(all_6_1, all_6_1) = all_6_0 & op2(all_6_1, e22) =
% 81.12/12.04 | all_6_2 & op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) &
% 81.12/12.04 | $i(all_6_2)
% 81.12/12.04 |
% 81.12/12.04 | ALPHA: (34) implies:
% 81.12/12.04 | (35) op2(e22, e22) = all_6_1
% 81.12/12.04 | (36) op2(all_6_1, e22) = all_6_2
% 81.12/12.04 | (37) op2(all_6_1, all_6_1) = all_6_0
% 81.12/12.04 | (38) h3(e10) = all_6_2
% 81.12/12.04 | (39) h3(e11) = all_6_0
% 81.12/12.04 | (40) h3(e12) = e22
% 81.12/12.04 | (41) h3(e13) = all_6_1
% 81.12/12.04 |
% 81.12/12.04 | DELTA: instantiating (23) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 81.12/12.04 | (42) h4(e13) = all_8_1 & h4(e12) = e23 & h4(e11) = all_8_0 & h4(e10) =
% 81.12/12.04 | all_8_2 & op2(all_8_1, all_8_1) = all_8_0 & op2(all_8_1, e23) =
% 81.12/12.04 | all_8_2 & op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) &
% 81.12/12.04 | $i(all_8_2)
% 81.12/12.04 |
% 81.12/12.04 | ALPHA: (42) implies:
% 81.12/12.04 | (43) op2(e23, e23) = all_8_1
% 81.12/12.04 | (44) op2(all_8_1, e23) = all_8_2
% 81.12/12.04 | (45) op2(all_8_1, all_8_1) = all_8_0
% 81.12/12.04 | (46) h4(e10) = all_8_2
% 81.12/12.04 | (47) h4(e12) = e23
% 81.12/12.04 | (48) h4(e13) = all_8_1
% 81.12/12.04 |
% 81.12/12.04 | DELTA: instantiating (20) with fresh symbols all_10_0, all_10_1, all_10_2
% 81.12/12.04 | gives:
% 81.12/12.04 | (49) h1(e13) = all_10_1 & h1(e12) = e20 & h1(e11) = all_10_0 & h1(e10) =
% 81.12/12.04 | all_10_2 & op2(all_10_1, all_10_1) = all_10_0 & op2(all_10_1, e20) =
% 81.12/12.04 | all_10_2 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) &
% 81.12/12.04 | $i(all_10_2)
% 81.12/12.04 |
% 81.12/12.04 | ALPHA: (49) implies:
% 81.12/12.04 | (50) op2(e20, e20) = all_10_1
% 81.12/12.04 | (51) op2(all_10_1, e20) = all_10_2
% 81.12/12.04 | (52) op2(all_10_1, all_10_1) = all_10_0
% 81.12/12.04 | (53) h1(e12) = e20
% 81.12/12.04 | (54) h1(e13) = all_10_1
% 81.12/12.04 |
% 81.12/12.04 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2,
% 81.12/12.04 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 81.12/12.04 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives:
% 81.12/12.04 | (55) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 =
% 81.12/12.04 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~
% 81.12/12.04 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 =
% 81.12/12.04 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~
% 81.12/12.04 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 =
% 81.12/12.04 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) &
% 81.12/12.04 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 =
% 81.12/12.04 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) &
% 81.12/12.04 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 =
% 81.12/12.04 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) &
% 81.12/12.04 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 =
% 81.12/12.04 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) &
% 81.12/12.04 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 =
% 81.12/12.04 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) &
% 81.12/12.04 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 =
% 81.12/12.04 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11)
% 81.12/12.04 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~
% 81.12/12.04 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 =
% 81.12/12.04 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15)
% 81.12/12.04 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13,
% 81.12/12.04 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) =
% 81.12/12.04 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 &
% 81.12/12.04 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) =
% 81.12/12.04 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 &
% 81.12/12.04 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) =
% 81.12/12.04 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 &
% 81.12/12.04 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) &
% 81.12/12.04 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 81.12/12.04 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 81.12/12.04 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15)
% 81.12/12.04 |
% 81.12/12.04 | ALPHA: (55) implies:
% 81.12/12.04 | (56) ~ (all_12_14 = all_12_15)
% 81.12/12.04 | (57) ~ (all_12_13 = all_12_15)
% 81.12/12.04 | (58) ~ (all_12_13 = all_12_14)
% 81.12/12.04 | (59) ~ (all_12_12 = all_12_15)
% 81.12/12.04 | (60) ~ (all_12_12 = all_12_14)
% 81.12/12.04 | (61) ~ (all_12_12 = all_12_13)
% 81.12/12.04 | (62) ~ (all_12_11 = all_12_15)
% 81.12/12.04 | (63) ~ (all_12_10 = all_12_14)
% 81.12/12.04 | (64) ~ (all_12_10 = all_12_11)
% 81.12/12.04 | (65) ~ (all_12_9 = all_12_13)
% 81.12/12.04 | (66) ~ (all_12_9 = all_12_11)
% 81.12/12.04 | (67) ~ (all_12_9 = all_12_10)
% 81.12/12.04 | (68) ~ (all_12_8 = all_12_12)
% 81.12/12.04 | (69) ~ (all_12_8 = all_12_11)
% 81.12/12.04 | (70) ~ (all_12_8 = all_12_10)
% 81.12/12.04 | (71) ~ (all_12_8 = all_12_9)
% 81.12/12.04 | (72) ~ (all_12_7 = all_12_15)
% 81.12/12.04 | (73) ~ (all_12_7 = all_12_11)
% 81.12/12.04 | (74) ~ (all_12_6 = all_12_14)
% 81.12/12.04 | (75) ~ (all_12_6 = all_12_10)
% 81.12/12.04 | (76) ~ (all_12_6 = all_12_7)
% 81.12/12.04 | (77) ~ (all_12_5 = all_12_13)
% 81.12/12.04 | (78) ~ (all_12_5 = all_12_9)
% 81.12/12.04 | (79) ~ (all_12_5 = all_12_7)
% 81.12/12.04 | (80) ~ (all_12_5 = all_12_6)
% 81.12/12.04 | (81) ~ (all_12_4 = all_12_12)
% 81.12/12.04 | (82) ~ (all_12_4 = all_12_8)
% 81.12/12.04 | (83) ~ (all_12_4 = all_12_7)
% 81.12/12.04 | (84) ~ (all_12_4 = all_12_6)
% 81.12/12.04 | (85) ~ (all_12_4 = all_12_5)
% 81.12/12.04 | (86) ~ (all_12_3 = all_12_15)
% 81.12/12.04 | (87) ~ (all_12_3 = all_12_11)
% 81.12/12.04 | (88) ~ (all_12_3 = all_12_7)
% 81.12/12.04 | (89) ~ (all_12_2 = all_12_14)
% 81.12/12.04 | (90) ~ (all_12_2 = all_12_10)
% 81.12/12.04 | (91) ~ (all_12_2 = all_12_6)
% 81.12/12.04 | (92) ~ (all_12_2 = all_12_3)
% 81.12/12.04 | (93) ~ (all_12_1 = all_12_13)
% 81.12/12.04 | (94) ~ (all_12_1 = all_12_9)
% 81.12/12.04 | (95) ~ (all_12_1 = all_12_5)
% 81.12/12.04 | (96) ~ (all_12_1 = all_12_3)
% 81.12/12.04 | (97) ~ (all_12_1 = all_12_2)
% 81.12/12.04 | (98) ~ (all_12_0 = all_12_12)
% 81.12/12.04 | (99) ~ (all_12_0 = all_12_8)
% 81.12/12.04 | (100) ~ (all_12_0 = all_12_4)
% 81.12/12.05 | (101) ~ (all_12_0 = all_12_3)
% 81.12/12.05 | (102) ~ (all_12_0 = all_12_2)
% 81.12/12.05 | (103) ~ (all_12_0 = all_12_1)
% 81.12/12.05 | (104) op1(e10, e10) = all_12_15
% 81.12/12.05 | (105) op1(e10, e11) = all_12_11
% 81.12/12.05 | (106) op1(e10, e12) = all_12_7
% 81.12/12.05 | (107) op1(e10, e13) = all_12_3
% 81.12/12.05 | (108) op1(e11, e10) = all_12_14
% 81.12/12.05 | (109) op1(e11, e11) = all_12_10
% 81.12/12.05 | (110) op1(e11, e12) = all_12_6
% 81.12/12.05 | (111) op1(e11, e13) = all_12_2
% 81.12/12.05 | (112) op1(e12, e10) = all_12_13
% 81.12/12.05 | (113) op1(e12, e11) = all_12_9
% 81.12/12.05 | (114) op1(e12, e12) = all_12_5
% 81.12/12.05 | (115) op1(e12, e13) = all_12_1
% 81.12/12.05 | (116) op1(e13, e10) = all_12_12
% 81.12/12.05 | (117) op1(e13, e11) = all_12_8
% 81.12/12.05 | (118) op1(e13, e12) = all_12_4
% 81.12/12.05 | (119) op1(e13, e13) = all_12_0
% 81.12/12.05 |
% 81.12/12.05 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2,
% 81.12/12.05 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 81.12/12.05 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives:
% 81.48/12.05 | (120) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 =
% 81.48/12.05 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) &
% 81.48/12.05 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 =
% 81.48/12.05 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) &
% 81.48/12.05 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 =
% 81.48/12.05 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) &
% 81.48/12.05 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 =
% 81.48/12.05 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) &
% 81.48/12.05 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 =
% 81.48/12.05 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) &
% 81.48/12.05 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 =
% 81.48/12.05 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) &
% 81.48/12.05 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8
% 81.48/12.05 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11)
% 81.48/12.05 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~
% 81.48/12.05 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 =
% 81.48/12.05 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 =
% 81.48/12.05 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 =
% 81.48/12.05 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 =
% 81.48/12.05 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 =
% 81.48/12.05 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 &
% 81.48/12.05 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23)
% 81.48/12.05 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 &
% 81.48/12.05 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22)
% 81.48/12.05 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 &
% 81.48/12.05 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) =
% 81.48/12.05 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) &
% 81.48/12.05 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) &
% 81.48/12.05 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) &
% 81.48/12.05 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) &
% 81.48/12.05 | $i(all_14_14) & $i(all_14_15)
% 81.48/12.05 |
% 81.48/12.05 | ALPHA: (120) implies:
% 81.48/12.05 | (121) ~ (all_14_14 = all_14_15)
% 81.48/12.05 | (122) ~ (all_14_13 = all_14_15)
% 81.48/12.05 | (123) ~ (all_14_13 = all_14_14)
% 81.48/12.05 | (124) ~ (all_14_12 = all_14_15)
% 81.48/12.05 | (125) ~ (all_14_12 = all_14_14)
% 81.48/12.05 | (126) ~ (all_14_12 = all_14_13)
% 81.48/12.05 | (127) ~ (all_14_11 = all_14_15)
% 81.48/12.05 | (128) ~ (all_14_10 = all_14_14)
% 81.48/12.05 | (129) ~ (all_14_10 = all_14_11)
% 81.48/12.05 | (130) ~ (all_14_9 = all_14_13)
% 81.48/12.05 | (131) ~ (all_14_9 = all_14_11)
% 81.48/12.05 | (132) ~ (all_14_9 = all_14_10)
% 81.48/12.05 | (133) ~ (all_14_8 = all_14_12)
% 81.48/12.05 | (134) ~ (all_14_8 = all_14_11)
% 81.48/12.05 | (135) ~ (all_14_8 = all_14_10)
% 81.48/12.05 | (136) ~ (all_14_8 = all_14_9)
% 81.48/12.05 | (137) ~ (all_14_7 = all_14_15)
% 81.48/12.05 | (138) ~ (all_14_7 = all_14_11)
% 81.48/12.05 | (139) ~ (all_14_6 = all_14_14)
% 81.48/12.05 | (140) ~ (all_14_6 = all_14_10)
% 81.48/12.05 | (141) ~ (all_14_6 = all_14_7)
% 81.48/12.05 | (142) ~ (all_14_5 = all_14_13)
% 81.48/12.05 | (143) ~ (all_14_5 = all_14_9)
% 81.48/12.05 | (144) ~ (all_14_5 = all_14_7)
% 81.48/12.05 | (145) ~ (all_14_5 = all_14_6)
% 81.48/12.05 | (146) ~ (all_14_4 = all_14_12)
% 81.48/12.05 | (147) ~ (all_14_4 = all_14_8)
% 81.48/12.05 | (148) ~ (all_14_4 = all_14_7)
% 81.48/12.05 | (149) ~ (all_14_4 = all_14_6)
% 81.48/12.05 | (150) ~ (all_14_4 = all_14_5)
% 81.48/12.05 | (151) ~ (all_14_3 = all_14_15)
% 81.48/12.05 | (152) ~ (all_14_3 = all_14_11)
% 81.48/12.05 | (153) ~ (all_14_3 = all_14_7)
% 81.48/12.05 | (154) ~ (all_14_2 = all_14_14)
% 81.48/12.05 | (155) ~ (all_14_2 = all_14_10)
% 81.48/12.05 | (156) ~ (all_14_2 = all_14_6)
% 81.48/12.05 | (157) ~ (all_14_2 = all_14_3)
% 81.48/12.05 | (158) ~ (all_14_1 = all_14_13)
% 81.48/12.05 | (159) ~ (all_14_1 = all_14_9)
% 81.48/12.05 | (160) ~ (all_14_1 = all_14_5)
% 81.48/12.05 | (161) ~ (all_14_1 = all_14_3)
% 81.48/12.05 | (162) ~ (all_14_1 = all_14_2)
% 81.48/12.05 | (163) ~ (all_14_0 = all_14_12)
% 81.48/12.05 | (164) ~ (all_14_0 = all_14_8)
% 81.48/12.05 | (165) ~ (all_14_0 = all_14_4)
% 81.48/12.05 | (166) ~ (all_14_0 = all_14_3)
% 81.48/12.05 | (167) ~ (all_14_0 = all_14_2)
% 81.48/12.05 | (168) ~ (all_14_0 = all_14_1)
% 81.48/12.05 | (169) op2(e20, e20) = all_14_15
% 81.48/12.05 | (170) op2(e20, e21) = all_14_11
% 81.48/12.05 | (171) op2(e20, e22) = all_14_7
% 81.48/12.05 | (172) op2(e20, e23) = all_14_3
% 81.48/12.05 | (173) op2(e21, e20) = all_14_14
% 81.48/12.05 | (174) op2(e21, e21) = all_14_10
% 81.48/12.05 | (175) op2(e21, e22) = all_14_6
% 81.48/12.05 | (176) op2(e21, e23) = all_14_2
% 81.48/12.05 | (177) op2(e22, e20) = all_14_13
% 81.48/12.05 | (178) op2(e22, e21) = all_14_9
% 81.48/12.05 | (179) op2(e22, e22) = all_14_5
% 81.48/12.05 | (180) op2(e22, e23) = all_14_1
% 81.48/12.05 | (181) op2(e23, e20) = all_14_12
% 81.48/12.05 | (182) op2(e23, e21) = all_14_8
% 81.48/12.05 | (183) op2(e23, e22) = all_14_4
% 81.48/12.06 | (184) op2(e23, e23) = all_14_0
% 81.48/12.06 |
% 81.48/12.06 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2,
% 81.48/12.06 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 81.48/12.06 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives:
% 81.48/12.06 | (185) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) =
% 81.48/12.06 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 &
% 81.48/12.06 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) =
% 81.48/12.06 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 &
% 81.48/12.06 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13)
% 81.48/12.06 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 &
% 81.48/12.06 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) &
% 81.48/12.06 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) &
% 81.48/12.06 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) &
% 81.48/12.06 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) &
% 81.48/12.06 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 |
% 81.48/12.06 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12
% 81.48/12.06 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 =
% 81.48/12.06 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3
% 81.48/12.06 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 |
% 81.48/12.06 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13
% 81.48/12.06 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 =
% 81.48/12.06 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7
% 81.48/12.06 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) &
% 81.48/12.06 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) &
% 81.48/12.06 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) &
% 81.48/12.06 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 81.48/12.06 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 |
% 81.48/12.06 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 =
% 81.48/12.06 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 |
% 81.48/12.06 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 =
% 81.48/12.06 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 |
% 81.48/12.06 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10)
% 81.48/12.06 |
% 81.48/12.06 | ALPHA: (185) implies:
% 81.48/12.06 | (186) op1(e10, e10) = all_16_15
% 81.48/12.06 | (187) op1(e10, e11) = all_16_14
% 81.48/12.06 | (188) op1(e10, e12) = all_16_13
% 81.48/12.06 | (189) op1(e10, e13) = all_16_12
% 81.48/12.06 | (190) op1(e11, e10) = all_16_11
% 81.48/12.06 | (191) op1(e11, e12) = all_16_9
% 81.48/12.06 | (192) op1(e11, e13) = all_16_8
% 81.48/12.06 | (193) op1(e12, e10) = all_16_7
% 81.48/12.06 | (194) op1(e12, e11) = all_16_6
% 81.48/12.06 | (195) op1(e12, e12) = all_16_5
% 81.48/12.06 | (196) op1(e12, e13) = all_16_4
% 81.48/12.06 | (197) op1(e13, e10) = all_16_3
% 81.48/12.06 | (198) op1(e13, e11) = all_16_2
% 81.48/12.06 | (199) op1(e13, e12) = all_16_1
% 81.48/12.06 | (200) op1(e13, e13) = all_16_0
% 81.48/12.06 | (201) all_16_15 = e13 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10
% 81.48/12.06 | (202) all_16_14 = e13 | all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 81.48/12.06 | (203) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 81.48/12.06 | (204) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 81.48/12.06 | (205) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 81.48/12.06 | (206) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 81.48/12.06 | (207) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 81.48/12.06 | (208) all_16_7 = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 81.48/12.06 | (209) all_16_6 = e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10
% 81.48/12.06 | (210) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 81.48/12.06 | (211) all_16_3 = e13 | all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10
% 81.48/12.06 | (212) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10
% 81.48/12.06 |
% 81.48/12.06 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2,
% 81.48/12.06 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 81.48/12.06 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives:
% 81.48/12.06 | (213) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) =
% 81.48/12.06 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 &
% 81.48/12.06 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) =
% 81.48/12.06 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 &
% 81.48/12.06 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23)
% 81.48/12.06 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 &
% 81.48/12.06 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) &
% 81.48/12.06 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) &
% 81.48/12.06 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) &
% 81.48/12.06 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) &
% 81.48/12.06 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 |
% 81.48/12.06 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22
% 81.48/12.06 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 =
% 81.48/12.06 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3
% 81.48/12.06 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 |
% 81.48/12.06 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23
% 81.48/12.06 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 =
% 81.48/12.06 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7
% 81.48/12.06 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) &
% 81.48/12.06 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) &
% 81.48/12.06 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) &
% 81.48/12.06 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 81.48/12.06 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 |
% 81.48/12.06 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 =
% 81.48/12.06 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 |
% 81.48/12.06 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 =
% 81.48/12.06 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 |
% 81.48/12.06 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20)
% 81.48/12.06 |
% 81.48/12.06 | ALPHA: (213) implies:
% 81.48/12.06 | (214) op2(e20, e20) = all_18_15
% 81.48/12.06 | (215) op2(e20, e21) = all_18_14
% 81.48/12.06 | (216) op2(e20, e22) = all_18_13
% 81.48/12.06 | (217) op2(e20, e23) = all_18_12
% 81.48/12.06 | (218) op2(e21, e20) = all_18_11
% 81.48/12.06 | (219) op2(e21, e21) = all_18_10
% 81.48/12.06 | (220) op2(e21, e22) = all_18_9
% 81.48/12.06 | (221) op2(e21, e23) = all_18_8
% 81.48/12.06 | (222) op2(e22, e20) = all_18_7
% 81.48/12.06 | (223) op2(e22, e21) = all_18_6
% 81.48/12.06 | (224) op2(e22, e22) = all_18_5
% 81.48/12.06 | (225) op2(e22, e23) = all_18_4
% 81.48/12.06 | (226) op2(e23, e20) = all_18_3
% 81.48/12.06 | (227) op2(e23, e21) = all_18_2
% 81.48/12.06 | (228) op2(e23, e22) = all_18_1
% 81.48/12.06 | (229) op2(e23, e23) = all_18_0
% 81.48/12.07 | (230) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20
% 81.48/12.07 | (231) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 81.48/12.07 | (232) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 81.48/12.07 | (233) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 81.48/12.07 | (234) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 81.48/12.07 | (235) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 81.48/12.07 | (236) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 81.48/12.07 | (237) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 81.48/12.07 | (238) all_18_7 = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 81.48/12.07 | (239) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 81.48/12.07 | (240) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 81.48/12.07 | (241) all_18_3 = e23 | all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 81.48/12.07 | (242) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 81.48/12.07 |
% 81.48/12.07 | DELTA: instantiating (4) with fresh symbols all_20_0, all_20_1, all_20_2,
% 81.48/12.07 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 81.48/12.07 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives:
% 81.48/12.07 | (243) op2(e23, e23) = all_20_0 & op2(e23, e22) = all_20_1 & op2(e23, e21) =
% 81.48/12.07 | all_20_4 & op2(e23, e20) = all_20_9 & op2(e22, e23) = all_20_2 &
% 81.48/12.07 | op2(e22, e22) = all_20_3 & op2(e22, e21) = all_20_5 & op2(e22, e20) =
% 81.48/12.07 | all_20_10 & op2(e21, e23) = all_20_6 & op2(e21, e22) = all_20_7 &
% 81.48/12.07 | op2(e21, e21) = all_20_8 & op2(e21, e20) = all_20_11 & op2(e20, e23)
% 81.48/12.07 | = all_20_12 & op2(e20, e22) = all_20_13 & op2(e20, e21) = all_20_14 &
% 81.48/12.07 | op2(e20, e20) = all_20_15 & $i(all_20_0) & $i(all_20_1) &
% 81.48/12.07 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) &
% 81.48/12.07 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) &
% 81.48/12.07 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) &
% 81.48/12.07 | $i(all_20_14) & $i(all_20_15) & (all_20_0 = e23 | all_20_1 = e23 |
% 81.48/12.07 | all_20_4 = e23 | all_20_9 = e23) & (all_20_0 = e23 | all_20_2 = e23
% 81.48/12.07 | | all_20_6 = e23 | all_20_12 = e23) & (all_20_0 = e22 | all_20_1 =
% 81.48/12.07 | e22 | all_20_4 = e22 | all_20_9 = e22) & (all_20_0 = e22 | all_20_2
% 81.48/12.07 | = e22 | all_20_6 = e22 | all_20_12 = e22) & (all_20_0 = e21 |
% 81.48/12.07 | all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21) & (all_20_0 = e21
% 81.48/12.07 | | all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21) & (all_20_0 =
% 81.48/12.07 | e20 | all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20) & (all_20_0
% 81.48/12.07 | = e20 | all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20) &
% 81.48/12.07 | (all_20_1 = e23 | all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23)
% 81.48/12.07 | & (all_20_1 = e22 | all_20_3 = e22 | all_20_7 = e22 | all_20_13 =
% 81.48/12.07 | e22) & (all_20_1 = e21 | all_20_3 = e21 | all_20_7 = e21 |
% 81.48/12.07 | all_20_13 = e21) & (all_20_1 = e20 | all_20_3 = e20 | all_20_7 =
% 81.48/12.07 | e20 | all_20_13 = e20) & (all_20_2 = e23 | all_20_3 = e23 |
% 81.48/12.07 | all_20_5 = e23 | all_20_10 = e23) & (all_20_2 = e22 | all_20_3 =
% 81.48/12.07 | e22 | all_20_5 = e22 | all_20_10 = e22) & (all_20_2 = e21 |
% 81.48/12.07 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21) & (all_20_2 =
% 81.48/12.07 | e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20) &
% 81.48/12.07 | (all_20_4 = e23 | all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23)
% 81.48/12.07 | & (all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 =
% 81.48/12.07 | e22) & (all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 |
% 81.48/12.07 | all_20_14 = e21) & (all_20_4 = e20 | all_20_5 = e20 | all_20_8 =
% 81.48/12.07 | e20 | all_20_14 = e20) & (all_20_6 = e23 | all_20_7 = e23 |
% 81.48/12.07 | all_20_8 = e23 | all_20_11 = e23) & (all_20_6 = e22 | all_20_7 =
% 81.48/12.07 | e22 | all_20_8 = e22 | all_20_11 = e22) & (all_20_6 = e21 |
% 81.48/12.07 | all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21) & (all_20_6 =
% 81.48/12.07 | e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20) &
% 81.48/12.07 | (all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 =
% 81.48/12.07 | e23) & (all_20_9 = e22 | all_20_10 = e22 | all_20_11 = e22 |
% 81.48/12.07 | all_20_15 = e22) & (all_20_9 = e21 | all_20_10 = e21 | all_20_11 =
% 81.48/12.07 | e21 | all_20_15 = e21) & (all_20_12 = e23 | all_20_13 = e23 |
% 81.48/12.07 | all_20_14 = e23 | all_20_15 = e23) & (all_20_12 = e22 | all_20_13 =
% 81.48/12.07 | e22 | all_20_14 = e22 | all_20_15 = e22) & (all_20_12 = e21 |
% 81.48/12.07 | all_20_13 = e21 | all_20_14 = e21 | all_20_15 = e21) & (all_20_15 =
% 81.48/12.07 | e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 = e20) &
% 81.48/12.07 | (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20)))
% 81.48/12.07 |
% 81.48/12.07 | ALPHA: (243) implies:
% 81.48/12.07 | (244) op2(e20, e20) = all_20_15
% 81.48/12.07 | (245) op2(e20, e21) = all_20_14
% 81.48/12.07 | (246) op2(e20, e22) = all_20_13
% 81.48/12.07 | (247) op2(e20, e23) = all_20_12
% 81.48/12.07 | (248) op2(e21, e20) = all_20_11
% 81.48/12.07 | (249) op2(e21, e21) = all_20_8
% 81.48/12.07 | (250) op2(e21, e22) = all_20_7
% 81.48/12.07 | (251) op2(e21, e23) = all_20_6
% 81.48/12.07 | (252) op2(e22, e20) = all_20_10
% 81.48/12.07 | (253) op2(e22, e21) = all_20_5
% 81.48/12.07 | (254) op2(e22, e22) = all_20_3
% 81.48/12.07 | (255) op2(e22, e23) = all_20_2
% 81.48/12.07 | (256) op2(e23, e20) = all_20_9
% 81.59/12.07 | (257) op2(e23, e21) = all_20_4
% 81.59/12.07 | (258) op2(e23, e22) = all_20_1
% 81.59/12.07 | (259) op2(e23, e23) = all_20_0
% 81.59/12.07 | (260) all_20_15 = e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 =
% 81.59/12.07 | e20) & (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20))
% 81.59/12.07 | (261) all_20_12 = e21 | all_20_13 = e21 | all_20_14 = e21 | all_20_15 = e21
% 81.59/12.07 | (262) all_20_12 = e22 | all_20_13 = e22 | all_20_14 = e22 | all_20_15 = e22
% 81.59/12.07 | (263) all_20_12 = e23 | all_20_13 = e23 | all_20_14 = e23 | all_20_15 = e23
% 81.59/12.07 | (264) all_20_9 = e21 | all_20_10 = e21 | all_20_11 = e21 | all_20_15 = e21
% 81.59/12.07 | (265) all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 = e23
% 81.59/12.07 | (266) all_20_6 = e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20
% 81.59/12.07 | (267) all_20_6 = e22 | all_20_7 = e22 | all_20_8 = e22 | all_20_11 = e22
% 81.59/12.07 | (268) all_20_6 = e23 | all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23
% 81.59/12.07 | (269) all_20_4 = e20 | all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20
% 81.59/12.07 | (270) all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21
% 81.59/12.07 | (271) all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22
% 81.59/12.07 | (272) all_20_4 = e23 | all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23
% 81.59/12.07 | (273) all_20_2 = e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20
% 81.59/12.07 | (274) all_20_2 = e21 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21
% 81.59/12.07 | (275) all_20_2 = e22 | all_20_3 = e22 | all_20_5 = e22 | all_20_10 = e22
% 81.59/12.07 | (276) all_20_1 = e22 | all_20_3 = e22 | all_20_7 = e22 | all_20_13 = e22
% 81.59/12.07 | (277) all_20_0 = e20 | all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20
% 81.59/12.07 | (278) all_20_0 = e23 | all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23
% 81.59/12.07 | (279) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 81.59/12.07 |
% 81.59/12.07 | DELTA: instantiating (2) with fresh symbols all_22_0, all_22_1, all_22_2,
% 81.59/12.07 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 81.59/12.07 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives:
% 81.59/12.08 | (280) op1(e13, e13) = all_22_0 & op1(e13, e12) = all_22_1 & op1(e13, e11) =
% 81.59/12.08 | all_22_4 & op1(e13, e10) = all_22_9 & op1(e12, e13) = all_22_2 &
% 81.59/12.08 | op1(e12, e12) = all_22_3 & op1(e12, e11) = all_22_5 & op1(e12, e10) =
% 81.59/12.08 | all_22_10 & op1(e11, e13) = all_22_6 & op1(e11, e12) = all_22_7 &
% 81.59/12.08 | op1(e11, e11) = all_22_8 & op1(e11, e10) = all_22_11 & op1(e10, e13)
% 81.59/12.08 | = all_22_12 & op1(e10, e12) = all_22_13 & op1(e10, e11) = all_22_14 &
% 81.59/12.08 | op1(e10, e10) = all_22_15 & $i(all_22_0) & $i(all_22_1) &
% 81.59/12.08 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 81.59/12.08 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) &
% 81.59/12.08 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) &
% 81.59/12.08 | $i(all_22_14) & $i(all_22_15) & (all_22_0 = e13 | all_22_1 = e13 |
% 81.59/12.08 | all_22_4 = e13 | all_22_9 = e13) & (all_22_0 = e13 | all_22_2 = e13
% 81.59/12.08 | | all_22_6 = e13 | all_22_12 = e13) & (all_22_0 = e12 | all_22_1 =
% 81.59/12.08 | e12 | all_22_4 = e12 | all_22_9 = e12) & (all_22_0 = e12 | all_22_2
% 81.59/12.08 | = e12 | all_22_6 = e12 | all_22_12 = e12) & (all_22_0 = e11 |
% 81.59/12.08 | all_22_1 = e11 | all_22_4 = e11 | all_22_9 = e11) & (all_22_0 = e11
% 81.59/12.08 | | all_22_2 = e11 | all_22_6 = e11 | all_22_12 = e11) & (all_22_0 =
% 81.59/12.08 | e10 | all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10) & (all_22_0
% 81.59/12.08 | = e10 | all_22_2 = e10 | all_22_6 = e10 | all_22_12 = e10) &
% 81.59/12.08 | (all_22_1 = e13 | all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13)
% 81.59/12.08 | & (all_22_1 = e12 | all_22_3 = e12 | all_22_7 = e12 | all_22_13 =
% 81.59/12.08 | e12) & (all_22_1 = e11 | all_22_3 = e11 | all_22_7 = e11 |
% 81.59/12.08 | all_22_13 = e11) & (all_22_1 = e10 | all_22_3 = e10 | all_22_7 =
% 81.59/12.08 | e10 | all_22_13 = e10) & (all_22_2 = e13 | all_22_3 = e13 |
% 81.59/12.08 | all_22_5 = e13 | all_22_10 = e13) & (all_22_2 = e12 | all_22_3 =
% 81.59/12.08 | e12 | all_22_5 = e12 | all_22_10 = e12) & (all_22_2 = e11 |
% 81.59/12.08 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11) & (all_22_2 =
% 81.59/12.08 | e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10) &
% 81.59/12.08 | (all_22_4 = e13 | all_22_5 = e13 | all_22_8 = e13 | all_22_14 = e13)
% 81.59/12.08 | & (all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 =
% 81.59/12.08 | e12) & (all_22_4 = e11 | all_22_5 = e11 | all_22_8 = e11 |
% 81.59/12.08 | all_22_14 = e11) & (all_22_4 = e10 | all_22_5 = e10 | all_22_8 =
% 81.59/12.08 | e10 | all_22_14 = e10) & (all_22_6 = e13 | all_22_7 = e13 |
% 81.59/12.08 | all_22_8 = e13 | all_22_11 = e13) & (all_22_6 = e12 | all_22_7 =
% 81.59/12.08 | e12 | all_22_8 = e12 | all_22_11 = e12) & (all_22_6 = e11 |
% 81.59/12.08 | all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11) & (all_22_6 =
% 81.59/12.08 | e10 | all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10) &
% 81.59/12.08 | (all_22_9 = e13 | all_22_10 = e13 | all_22_11 = e13 | all_22_15 =
% 81.59/12.08 | e13) & (all_22_9 = e12 | all_22_10 = e12 | all_22_11 = e12 |
% 81.59/12.08 | all_22_15 = e12) & (all_22_9 = e11 | all_22_10 = e11 | all_22_11 =
% 81.59/12.08 | e11 | all_22_15 = e11) & (all_22_12 = e13 | all_22_13 = e13 |
% 81.59/12.08 | all_22_14 = e13 | all_22_15 = e13) & (all_22_12 = e12 | all_22_13 =
% 81.59/12.08 | e12 | all_22_14 = e12 | all_22_15 = e12) & (all_22_12 = e11 |
% 81.59/12.08 | all_22_13 = e11 | all_22_14 = e11 | all_22_15 = e11) & (all_22_15 =
% 81.59/12.08 | e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10) &
% 81.59/12.08 | (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10)))
% 81.59/12.08 |
% 81.59/12.08 | ALPHA: (280) implies:
% 81.59/12.08 | (281) op1(e10, e10) = all_22_15
% 81.59/12.08 | (282) op1(e10, e11) = all_22_14
% 81.59/12.08 | (283) op1(e10, e12) = all_22_13
% 81.59/12.08 | (284) op1(e10, e13) = all_22_12
% 81.59/12.08 | (285) op1(e11, e10) = all_22_11
% 81.59/12.08 | (286) op1(e11, e11) = all_22_8
% 81.59/12.08 | (287) op1(e11, e12) = all_22_7
% 81.59/12.08 | (288) op1(e11, e13) = all_22_6
% 81.59/12.08 | (289) op1(e12, e10) = all_22_10
% 81.59/12.08 | (290) op1(e12, e11) = all_22_5
% 81.59/12.08 | (291) op1(e12, e12) = all_22_3
% 81.59/12.08 | (292) op1(e12, e13) = all_22_2
% 81.59/12.08 | (293) op1(e13, e10) = all_22_9
% 81.59/12.08 | (294) op1(e13, e11) = all_22_4
% 81.59/12.08 | (295) op1(e13, e12) = all_22_1
% 81.59/12.08 | (296) op1(e13, e13) = all_22_0
% 81.59/12.08 | (297) all_22_15 = e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 =
% 81.59/12.08 | e10) & (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10))
% 81.59/12.08 | (298) all_22_12 = e11 | all_22_13 = e11 | all_22_14 = e11 | all_22_15 = e11
% 81.59/12.08 | (299) all_22_12 = e12 | all_22_13 = e12 | all_22_14 = e12 | all_22_15 = e12
% 81.59/12.08 | (300) all_22_9 = e13 | all_22_10 = e13 | all_22_11 = e13 | all_22_15 = e13
% 81.59/12.08 | (301) all_22_6 = e10 | all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10
% 81.59/12.08 | (302) all_22_6 = e13 | all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13
% 81.59/12.08 | (303) all_22_4 = e11 | all_22_5 = e11 | all_22_8 = e11 | all_22_14 = e11
% 81.59/12.08 | (304) all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 81.59/12.08 | (305) all_22_2 = e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10
% 81.59/12.08 | (306) all_22_2 = e11 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 81.59/12.08 | (307) all_22_2 = e12 | all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 81.59/12.08 | (308) all_22_1 = e11 | all_22_3 = e11 | all_22_7 = e11 | all_22_13 = e11
% 81.59/12.08 | (309) all_22_0 = e10 | all_22_2 = e10 | all_22_6 = e10 | all_22_12 = e10
% 81.59/12.08 | (310) all_22_0 = e12 | all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 81.59/12.08 | (311) all_22_0 = e12 | all_22_1 = e12 | all_22_4 = e12 | all_22_9 = e12
% 81.59/12.08 | (312) all_22_0 = e13 | all_22_2 = e13 | all_22_6 = e13 | all_22_12 = e13
% 81.59/12.08 | (313) all_22_0 = e13 | all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 81.59/12.08 |
% 81.59/12.08 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2,
% 81.59/12.08 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 81.59/12.08 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15,
% 81.59/12.08 | all_24_16, all_24_17, all_24_18, all_24_19, all_24_20, all_24_21,
% 81.59/12.08 | all_24_22, all_24_23, all_24_24, all_24_25, all_24_26, all_24_27,
% 81.59/12.08 | all_24_28, all_24_29, all_24_30, all_24_31 gives:
% 81.59/12.09 | (314) op2(e23, all_24_16) = all_24_1 & op2(e23, all_24_17) = all_24_2 &
% 81.59/12.09 | op2(e23, all_24_18) = all_24_3 & op2(e23, all_24_28) = all_24_0 &
% 81.59/12.09 | op2(e23, e23) = all_24_28 & op2(e23, e22) = all_24_16 & op2(e23, e21)
% 81.59/12.09 | = all_24_17 & op2(e23, e20) = all_24_18 & op2(e22, all_24_19) =
% 81.59/12.09 | all_24_4 & op2(e22, all_24_20) = all_24_6 & op2(e22, all_24_21) =
% 81.59/12.09 | all_24_7 & op2(e22, all_24_29) = all_24_5 & op2(e22, e23) = all_24_19
% 81.59/12.09 | & op2(e22, e22) = all_24_29 & op2(e22, e21) = all_24_20 & op2(e22,
% 81.59/12.09 | e20) = all_24_21 & op2(e21, all_24_22) = all_24_8 & op2(e21,
% 81.59/12.09 | all_24_23) = all_24_9 & op2(e21, all_24_24) = all_24_11 & op2(e21,
% 81.59/12.09 | all_24_30) = all_24_10 & op2(e21, e23) = all_24_22 & op2(e21, e22)
% 81.59/12.09 | = all_24_23 & op2(e21, e21) = all_24_30 & op2(e21, e20) = all_24_24 &
% 81.59/12.09 | op2(e20, all_24_25) = all_24_12 & op2(e20, all_24_26) = all_24_13 &
% 81.59/12.09 | op2(e20, all_24_27) = all_24_14 & op2(e20, all_24_31) = all_24_15 &
% 81.59/12.09 | op2(e20, e23) = all_24_25 & op2(e20, e22) = all_24_26 & op2(e20, e21)
% 81.59/12.09 | = all_24_27 & op2(e20, e20) = all_24_31 & $i(all_24_0) & $i(all_24_1)
% 81.59/12.09 | & $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) &
% 81.59/12.09 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) &
% 81.59/12.09 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) &
% 81.59/12.09 | $i(all_24_14) & $i(all_24_15) & $i(all_24_16) & $i(all_24_17) &
% 81.59/12.09 | $i(all_24_18) & $i(all_24_19) & $i(all_24_20) & $i(all_24_21) &
% 81.59/12.09 | $i(all_24_22) & $i(all_24_23) & $i(all_24_24) & $i(all_24_25) &
% 81.59/12.09 | $i(all_24_26) & $i(all_24_27) & $i(all_24_28) & $i(all_24_29) &
% 81.59/12.09 | $i(all_24_30) & $i(all_24_31) & ( ~ (all_24_16 = e23) | all_24_28 =
% 81.59/12.09 | e22 | all_24_29 = e22 | all_24_30 = e22 | all_24_31 = e22) & ( ~
% 81.59/12.09 | (all_24_17 = e23) | all_24_28 = e21 | all_24_29 = e21 | all_24_30 =
% 81.59/12.09 | e21 | all_24_31 = e21) & ( ~ (all_24_18 = e23) | all_24_28 = e20 |
% 81.59/12.09 | all_24_29 = e20 | all_24_30 = e20 | all_24_31 = e20) & ( ~
% 81.59/12.09 | (all_24_19 = e22) | all_24_28 = e23 | all_24_29 = e23 | all_24_30 =
% 81.59/12.09 | e23 | all_24_31 = e23) & ( ~ (all_24_20 = e22) | all_24_28 = e21 |
% 81.59/12.09 | all_24_29 = e21 | all_24_30 = e21 | all_24_31 = e21) & ( ~
% 81.59/12.09 | (all_24_21 = e22) | all_24_28 = e20 | all_24_29 = e20 | all_24_30 =
% 81.59/12.09 | e20 | all_24_31 = e20) & ( ~ (all_24_22 = e21) | all_24_28 = e23 |
% 81.59/12.09 | all_24_29 = e23 | all_24_30 = e23 | all_24_31 = e23) & ( ~
% 81.59/12.09 | (all_24_23 = e21) | all_24_28 = e22 | all_24_29 = e22 | all_24_30 =
% 81.59/12.09 | e22 | all_24_31 = e22) & ( ~ (all_24_24 = e21) | all_24_28 = e20 |
% 81.59/12.09 | all_24_29 = e20 | all_24_30 = e20 | all_24_31 = e20) & ( ~
% 81.59/12.09 | (all_24_25 = e20) | all_24_28 = e23 | all_24_29 = e23 | all_24_30 =
% 81.59/12.09 | e23 | all_24_31 = e23) & ( ~ (all_24_26 = e20) | all_24_28 = e22 |
% 81.59/12.09 | all_24_29 = e22 | all_24_30 = e22 | all_24_31 = e22) & ( ~
% 81.59/12.09 | (all_24_27 = e20) | all_24_28 = e21 | all_24_29 = e21 | all_24_30 =
% 81.59/12.09 | e21 | all_24_31 = e21) & ((all_24_16 = e23 & all_24_19 = e23 & ~
% 81.59/12.09 | (all_24_0 = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 81.59/12.09 | (all_24_3 = e20)) | (all_24_16 = e22 & all_24_19 = e22 & ~
% 81.59/12.09 | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 81.59/12.09 | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22 = e23 & ~
% 81.59/12.09 | (all_24_0 = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 81.59/12.09 | (all_24_3 = e20)) | (all_24_17 = e21 & all_24_22 = e21 & ~
% 81.59/12.09 | (all_24_8 = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 = e21) &
% 81.59/12.09 | ~ (all_24_11 = e20)) | (all_24_18 = e23 & all_24_25 = e23 & ~
% 81.59/12.09 | (all_24_0 = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 81.59/12.09 | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23 = e22 & ~
% 81.59/12.09 | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 81.59/12.09 | (all_24_7 = e20)) | (all_24_20 = e21 & all_24_23 = e21 & ~
% 81.59/12.09 | (all_24_8 = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 = e21) &
% 81.59/12.09 | ~ (all_24_11 = e20)) | (all_24_21 = e22 & all_24_26 = e22 & ~
% 81.59/12.09 | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 81.59/12.09 | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27 = e21 & ~
% 81.59/12.09 | (all_24_8 = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 = e21) &
% 81.59/12.09 | ~ (all_24_11 = e20)) | (all_24_28 = e23 & ~ (all_24_0 = e23) &
% 81.59/12.09 | ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)) |
% 81.59/12.09 | (all_24_29 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 81.59/12.09 | (all_24_6 = e21) & ~ (all_24_7 = e20)) | (all_24_30 = e21 & ~
% 81.59/12.09 | (all_24_8 = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 = e21) &
% 81.59/12.09 | ~ (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~ (all_24_13 =
% 81.59/12.09 | e22) & ~ (all_24_14 = e21) & ~ (all_24_15 = e20) & (all_24_31
% 81.59/12.09 | = e20 | (all_24_18 = e20 & all_24_25 = e20) | (all_24_21 = e20
% 81.59/12.09 | & all_24_26 = e20) | (all_24_24 = e20 & all_24_27 = e20))))
% 81.59/12.09 |
% 81.59/12.09 | ALPHA: (314) implies:
% 81.59/12.10 | (315) op2(e20, e20) = all_24_31
% 81.59/12.10 | (316) op2(e20, e21) = all_24_27
% 81.59/12.10 | (317) op2(e20, e22) = all_24_26
% 81.59/12.10 | (318) op2(e20, e23) = all_24_25
% 81.59/12.10 | (319) op2(e20, all_24_31) = all_24_15
% 81.59/12.10 | (320) op2(e21, e20) = all_24_24
% 81.59/12.10 | (321) op2(e21, e21) = all_24_30
% 81.59/12.10 | (322) op2(e21, e22) = all_24_23
% 81.59/12.10 | (323) op2(e21, e23) = all_24_22
% 81.59/12.10 | (324) op2(e21, all_24_24) = all_24_11
% 81.59/12.10 | (325) op2(e21, all_24_22) = all_24_8
% 81.59/12.10 | (326) op2(e22, e20) = all_24_21
% 81.59/12.10 | (327) op2(e22, e21) = all_24_20
% 81.59/12.10 | (328) op2(e22, e22) = all_24_29
% 81.59/12.10 | (329) op2(e22, e23) = all_24_19
% 81.59/12.10 | (330) op2(e22, all_24_29) = all_24_5
% 81.59/12.10 | (331) op2(e23, e20) = all_24_18
% 81.59/12.10 | (332) op2(e23, e21) = all_24_17
% 81.59/12.10 | (333) op2(e23, e22) = all_24_16
% 81.59/12.10 | (334) op2(e23, e23) = all_24_28
% 81.59/12.10 | (335) op2(e23, all_24_28) = all_24_0
% 81.59/12.10 | (336) op2(e23, all_24_18) = all_24_3
% 81.59/12.10 | (337) op2(e23, all_24_16) = all_24_1
% 81.59/12.10 | (338) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 = e23) & ~
% 81.59/12.10 | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)) |
% 81.59/12.10 | (all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 81.59/12.10 | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 81.59/12.10 | (all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 = e23) & ~
% 81.59/12.10 | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)) |
% 81.59/12.10 | (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 = e23) & ~
% 81.59/12.10 | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 81.59/12.10 | (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 81.59/12.10 | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)) |
% 81.59/12.10 | (all_24_20 = e22 & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 81.59/12.10 | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 81.59/12.10 | (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8 = e23) & ~
% 81.59/12.10 | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 81.59/12.10 | (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 81.59/12.10 | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 81.59/12.10 | (all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 81.59/12.10 | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 81.59/12.10 | (all_24_28 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 = e22) & ~
% 81.59/12.10 | (all_24_2 = e21) & ~ (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 81.59/12.10 | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 81.59/12.10 | (all_24_7 = e20)) | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 81.59/12.10 | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)) | (
% 81.59/12.10 | ~ (all_24_12 = e23) & ~ (all_24_13 = e22) & ~ (all_24_14 = e21) &
% 81.59/12.10 | ~ (all_24_15 = e20) & (all_24_31 = e20 | (all_24_18 = e20 &
% 81.59/12.10 | all_24_25 = e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 81.59/12.10 | (all_24_24 = e20 & all_24_27 = e20)))
% 81.59/12.10 | (339) ~ (all_24_23 = e21) | all_24_28 = e22 | all_24_29 = e22 | all_24_30
% 81.59/12.10 | = e22 | all_24_31 = e22
% 81.59/12.10 | (340) ~ (all_24_18 = e23) | all_24_28 = e20 | all_24_29 = e20 | all_24_30
% 81.59/12.10 | = e20 | all_24_31 = e20
% 81.59/12.10 |
% 81.59/12.10 | DELTA: instantiating (12) with fresh symbols all_26_0, all_26_1, all_26_2,
% 81.59/12.10 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 81.59/12.10 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15,
% 81.59/12.10 | all_26_16, all_26_17, all_26_18, all_26_19, all_26_20, all_26_21,
% 81.59/12.10 | all_26_22, all_26_23, all_26_24, all_26_25, all_26_26, all_26_27,
% 81.59/12.10 | all_26_28, all_26_29, all_26_30, all_26_31 gives:
% 81.59/12.11 | (341) op1(e13, all_26_16) = all_26_1 & op1(e13, all_26_17) = all_26_2 &
% 81.59/12.11 | op1(e13, all_26_18) = all_26_3 & op1(e13, all_26_28) = all_26_0 &
% 81.59/12.11 | op1(e13, e13) = all_26_28 & op1(e13, e12) = all_26_16 & op1(e13, e11)
% 81.59/12.11 | = all_26_17 & op1(e13, e10) = all_26_18 & op1(e12, all_26_19) =
% 81.59/12.11 | all_26_4 & op1(e12, all_26_20) = all_26_6 & op1(e12, all_26_21) =
% 81.59/12.11 | all_26_7 & op1(e12, all_26_29) = all_26_5 & op1(e12, e13) = all_26_19
% 81.59/12.11 | & op1(e12, e12) = all_26_29 & op1(e12, e11) = all_26_20 & op1(e12,
% 81.59/12.11 | e10) = all_26_21 & op1(e11, all_26_22) = all_26_8 & op1(e11,
% 81.59/12.11 | all_26_23) = all_26_9 & op1(e11, all_26_24) = all_26_11 & op1(e11,
% 81.59/12.11 | all_26_30) = all_26_10 & op1(e11, e13) = all_26_22 & op1(e11, e12)
% 81.59/12.11 | = all_26_23 & op1(e11, e11) = all_26_30 & op1(e11, e10) = all_26_24 &
% 81.59/12.11 | op1(e10, all_26_25) = all_26_12 & op1(e10, all_26_26) = all_26_13 &
% 81.59/12.11 | op1(e10, all_26_27) = all_26_14 & op1(e10, all_26_31) = all_26_15 &
% 81.59/12.11 | op1(e10, e13) = all_26_25 & op1(e10, e12) = all_26_26 & op1(e10, e11)
% 81.59/12.11 | = all_26_27 & op1(e10, e10) = all_26_31 & $i(all_26_0) & $i(all_26_1)
% 81.59/12.11 | & $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) &
% 81.59/12.11 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) &
% 81.59/12.11 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) &
% 81.59/12.11 | $i(all_26_14) & $i(all_26_15) & $i(all_26_16) & $i(all_26_17) &
% 81.59/12.11 | $i(all_26_18) & $i(all_26_19) & $i(all_26_20) & $i(all_26_21) &
% 81.59/12.11 | $i(all_26_22) & $i(all_26_23) & $i(all_26_24) & $i(all_26_25) &
% 81.59/12.11 | $i(all_26_26) & $i(all_26_27) & $i(all_26_28) & $i(all_26_29) &
% 81.59/12.11 | $i(all_26_30) & $i(all_26_31) & ( ~ (all_26_16 = e13) | all_26_28 =
% 81.59/12.11 | e12 | all_26_29 = e12 | all_26_30 = e12 | all_26_31 = e12) & ( ~
% 81.59/12.11 | (all_26_17 = e13) | all_26_28 = e11 | all_26_29 = e11 | all_26_30 =
% 81.59/12.11 | e11 | all_26_31 = e11) & ( ~ (all_26_18 = e13) | all_26_28 = e10 |
% 81.59/12.11 | all_26_29 = e10 | all_26_30 = e10 | all_26_31 = e10) & ( ~
% 81.59/12.11 | (all_26_19 = e12) | all_26_28 = e13 | all_26_29 = e13 | all_26_30 =
% 81.59/12.11 | e13 | all_26_31 = e13) & ( ~ (all_26_20 = e12) | all_26_28 = e11 |
% 81.59/12.11 | all_26_29 = e11 | all_26_30 = e11 | all_26_31 = e11) & ( ~
% 81.59/12.11 | (all_26_21 = e12) | all_26_28 = e10 | all_26_29 = e10 | all_26_30 =
% 81.59/12.11 | e10 | all_26_31 = e10) & ( ~ (all_26_22 = e11) | all_26_28 = e13 |
% 81.59/12.11 | all_26_29 = e13 | all_26_30 = e13 | all_26_31 = e13) & ( ~
% 81.59/12.11 | (all_26_23 = e11) | all_26_28 = e12 | all_26_29 = e12 | all_26_30 =
% 81.59/12.11 | e12 | all_26_31 = e12) & ( ~ (all_26_24 = e11) | all_26_28 = e10 |
% 81.59/12.11 | all_26_29 = e10 | all_26_30 = e10 | all_26_31 = e10) & ( ~
% 81.59/12.11 | (all_26_25 = e10) | all_26_28 = e13 | all_26_29 = e13 | all_26_30 =
% 81.59/12.11 | e13 | all_26_31 = e13) & ( ~ (all_26_26 = e10) | all_26_28 = e12 |
% 81.59/12.11 | all_26_29 = e12 | all_26_30 = e12 | all_26_31 = e12) & ( ~
% 81.59/12.11 | (all_26_27 = e10) | all_26_28 = e11 | all_26_29 = e11 | all_26_30 =
% 81.59/12.11 | e11 | all_26_31 = e11) & ((all_26_16 = e13 & all_26_19 = e13 & ~
% 81.59/12.11 | (all_26_0 = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 81.59/12.11 | (all_26_3 = e10)) | (all_26_16 = e12 & all_26_19 = e12 & ~
% 81.59/12.11 | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 81.59/12.11 | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22 = e13 & ~
% 81.59/12.11 | (all_26_0 = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 81.59/12.11 | (all_26_3 = e10)) | (all_26_17 = e11 & all_26_22 = e11 & ~
% 81.59/12.11 | (all_26_8 = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 = e11) &
% 81.59/12.11 | ~ (all_26_11 = e10)) | (all_26_18 = e13 & all_26_25 = e13 & ~
% 81.59/12.11 | (all_26_0 = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 81.59/12.11 | (all_26_3 = e10)) | (all_26_20 = e12 & all_26_23 = e12 & ~
% 81.59/12.11 | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 81.59/12.11 | (all_26_7 = e10)) | (all_26_20 = e11 & all_26_23 = e11 & ~
% 81.59/12.11 | (all_26_8 = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 = e11) &
% 81.59/12.11 | ~ (all_26_11 = e10)) | (all_26_21 = e12 & all_26_26 = e12 & ~
% 81.59/12.11 | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 81.59/12.11 | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27 = e11 & ~
% 81.59/12.11 | (all_26_8 = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 = e11) &
% 81.59/12.11 | ~ (all_26_11 = e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13) &
% 81.59/12.11 | ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)) |
% 81.59/12.11 | (all_26_29 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 81.59/12.11 | (all_26_6 = e11) & ~ (all_26_7 = e10)) | (all_26_30 = e11 & ~
% 81.59/12.11 | (all_26_8 = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 = e11) &
% 81.59/12.11 | ~ (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~ (all_26_13 =
% 81.59/12.11 | e12) & ~ (all_26_14 = e11) & ~ (all_26_15 = e10) & (all_26_31
% 81.59/12.11 | = e10 | (all_26_18 = e10 & all_26_25 = e10) | (all_26_21 = e10
% 81.59/12.11 | & all_26_26 = e10) | (all_26_24 = e10 & all_26_27 = e10))))
% 81.59/12.11 |
% 81.59/12.11 | ALPHA: (341) implies:
% 81.59/12.11 | (342) op1(e10, e10) = all_26_31
% 81.59/12.11 | (343) op1(e10, e11) = all_26_27
% 81.59/12.11 | (344) op1(e10, e12) = all_26_26
% 81.59/12.11 | (345) op1(e10, e13) = all_26_25
% 81.59/12.11 | (346) op1(e10, all_26_31) = all_26_15
% 81.59/12.11 | (347) op1(e11, e10) = all_26_24
% 81.59/12.11 | (348) op1(e11, e11) = all_26_30
% 81.59/12.11 | (349) op1(e11, e12) = all_26_23
% 81.59/12.11 | (350) op1(e11, e13) = all_26_22
% 81.59/12.11 | (351) op1(e11, all_26_24) = all_26_11
% 81.59/12.11 | (352) op1(e11, all_26_22) = all_26_8
% 81.59/12.11 | (353) op1(e12, e10) = all_26_21
% 81.59/12.11 | (354) op1(e12, e11) = all_26_20
% 81.59/12.11 | (355) op1(e12, e12) = all_26_29
% 81.59/12.11 | (356) op1(e12, e13) = all_26_19
% 81.59/12.11 | (357) op1(e13, e10) = all_26_18
% 81.59/12.11 | (358) op1(e13, e11) = all_26_17
% 81.59/12.11 | (359) op1(e13, e12) = all_26_16
% 81.59/12.11 | (360) op1(e13, e13) = all_26_28
% 81.59/12.11 | (361) op1(e13, all_26_18) = all_26_3
% 81.59/12.12 | (362) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 = e13) & ~
% 81.59/12.12 | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)) |
% 81.59/12.12 | (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 81.59/12.12 | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 81.59/12.12 | (all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 81.59/12.12 | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)) |
% 81.59/12.12 | (all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 = e13) & ~
% 81.59/12.12 | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 81.59/12.12 | (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~
% 81.59/12.12 | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)) |
% 81.59/12.12 | (all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 81.59/12.12 | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 81.59/12.12 | (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8 = e13) & ~
% 81.59/12.12 | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 81.59/12.12 | (all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 81.59/12.12 | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 81.59/12.12 | (all_26_24 = e11 & all_26_27 = e11 & ~ (all_26_8 = e13) & ~
% 81.59/12.12 | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 81.59/12.12 | (all_26_28 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 = e12) & ~
% 81.59/12.12 | (all_26_2 = e11) & ~ (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 81.59/12.12 | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 81.59/12.12 | (all_26_7 = e10)) | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 81.59/12.12 | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)) | (
% 81.59/12.12 | ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~ (all_26_14 = e11) &
% 81.59/12.12 | ~ (all_26_15 = e10) & (all_26_31 = e10 | (all_26_18 = e10 &
% 81.59/12.12 | all_26_25 = e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 81.59/12.12 | (all_26_24 = e10 & all_26_27 = e10)))
% 81.59/12.12 | (363) ~ (all_26_23 = e11) | all_26_28 = e12 | all_26_29 = e12 | all_26_30
% 81.59/12.12 | = e12 | all_26_31 = e12
% 81.59/12.12 | (364) ~ (all_26_18 = e13) | all_26_28 = e10 | all_26_29 = e10 | all_26_30
% 81.59/12.12 | = e10 | all_26_31 = e10
% 81.59/12.12 |
% 81.59/12.12 | DELTA: instantiating (24) with fresh symbols all_28_0, all_28_1, all_28_2,
% 81.59/12.12 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 81.59/12.12 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 81.59/12.12 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 81.59/12.12 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 81.59/12.12 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 81.59/12.12 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 81.59/12.12 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 81.59/12.12 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 81.59/12.12 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 81.59/12.12 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 81.59/12.12 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 81.59/12.12 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 81.59/12.12 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 81.59/12.12 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 81.59/12.12 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 81.59/12.12 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 81.59/12.12 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 81.59/12.12 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 81.59/12.12 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 81.59/12.12 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 81.59/12.12 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 81.59/12.12 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 81.59/12.12 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 81.59/12.12 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 81.59/12.12 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 81.59/12.12 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 81.59/12.12 | gives:
% 81.83/12.13 | (365) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 &
% 81.83/12.13 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 &
% 81.83/12.13 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 &
% 81.83/12.13 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 &
% 81.83/12.13 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 &
% 81.83/12.13 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 &
% 81.83/12.13 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 &
% 81.83/12.13 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) =
% 81.83/12.13 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) =
% 81.83/12.13 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 &
% 81.83/12.13 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 &
% 81.83/12.13 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 &
% 81.83/12.13 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 &
% 81.83/12.13 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 &
% 81.83/12.13 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 &
% 81.83/12.13 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 &
% 81.83/12.13 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) =
% 81.83/12.13 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) =
% 81.83/12.13 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 &
% 81.83/12.13 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 &
% 81.83/12.13 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 &
% 81.83/12.13 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 &
% 81.83/12.13 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 &
% 81.83/12.13 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 &
% 81.83/12.13 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 &
% 81.83/12.13 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) =
% 81.83/12.13 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) =
% 81.83/12.13 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) =
% 81.83/12.13 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) =
% 81.83/12.13 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) =
% 81.83/12.13 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) =
% 81.83/12.13 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) =
% 81.83/12.13 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) =
% 81.83/12.13 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) =
% 81.83/12.13 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) =
% 81.83/12.13 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) =
% 81.83/12.13 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) =
% 81.83/12.13 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25,
% 81.83/12.13 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 &
% 81.83/12.13 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) =
% 81.83/12.13 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28,
% 81.83/12.13 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 &
% 81.83/12.13 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) =
% 81.83/12.13 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34,
% 81.83/12.13 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 &
% 81.83/12.13 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) =
% 81.83/12.13 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61,
% 81.83/12.13 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 &
% 81.83/12.13 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) =
% 81.83/12.13 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64,
% 81.83/12.13 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 &
% 81.83/12.13 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) =
% 81.83/12.13 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67,
% 81.83/12.13 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 &
% 81.83/12.13 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) =
% 81.83/12.13 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97,
% 81.83/12.13 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 &
% 81.83/12.13 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) =
% 81.83/12.13 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100,
% 81.83/12.13 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 &
% 81.83/12.13 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97)
% 81.83/12.13 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 &
% 81.83/12.13 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106)
% 81.83/12.13 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 &
% 81.83/12.13 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103)
% 81.83/12.13 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 &
% 81.83/12.13 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145,
% 81.83/12.13 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114
% 81.83/12.13 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149,
% 81.83/12.13 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123
% 81.83/12.13 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149,
% 81.83/12.13 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132
% 81.83/12.13 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153,
% 81.83/12.13 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141
% 81.83/12.13 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157,
% 81.83/12.13 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152
% 81.83/12.13 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) =
% 81.83/12.13 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116
% 81.83/12.13 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12,
% 81.83/12.13 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) =
% 81.83/12.13 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137
% 81.83/12.13 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10,
% 81.83/12.13 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) =
% 81.83/12.13 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1)
% 81.83/12.13 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) &
% 81.83/12.13 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) &
% 81.83/12.13 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) &
% 81.83/12.13 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) &
% 81.83/12.13 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) &
% 81.83/12.13 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) &
% 81.83/12.13 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) &
% 81.83/12.13 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) &
% 81.83/12.13 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) &
% 81.83/12.13 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) &
% 81.83/12.13 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) &
% 81.83/12.13 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) &
% 81.83/12.13 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) &
% 81.83/12.13 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) &
% 81.83/12.13 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) &
% 81.83/12.13 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) &
% 81.83/12.13 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) &
% 81.83/12.13 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) &
% 81.83/12.13 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) &
% 81.83/12.13 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) &
% 81.83/12.13 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) &
% 81.83/12.13 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) &
% 81.83/12.13 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) &
% 81.83/12.13 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) &
% 81.83/12.13 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) &
% 81.83/12.13 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) &
% 81.83/12.13 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) &
% 81.83/12.13 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) &
% 81.83/12.13 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) &
% 81.83/12.13 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) &
% 81.83/12.13 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) &
% 81.83/12.13 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) &
% 81.83/12.13 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) &
% 81.83/12.13 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) &
% 81.83/12.13 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) &
% 81.83/12.13 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) &
% 81.83/12.13 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) &
% 81.83/12.13 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) &
% 81.83/12.13 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) &
% 81.83/12.13 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~
% 81.83/12.13 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 81.83/12.13 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 81.83/12.13 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 81.83/12.13 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 81.83/12.13 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 81.83/12.13 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 81.83/12.13 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 81.83/12.13 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 81.83/12.13 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 81.83/12.13 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 81.83/12.13 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) &
% 81.83/12.13 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 81.83/12.13 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~
% 81.83/12.13 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 81.83/12.13 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 81.83/12.13 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 81.83/12.13 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 81.83/12.13 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 81.83/12.13 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 81.83/12.13 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 81.83/12.13 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 81.83/12.13 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 81.83/12.13 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 81.83/12.13 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 81.83/12.13 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) &
% 81.83/12.13 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 81.83/12.13 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~
% 81.83/12.13 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 81.83/12.13 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 81.83/12.13 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 81.83/12.13 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 81.83/12.13 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 81.83/12.13 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 81.83/12.13 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 81.83/12.13 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 81.83/12.13 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 81.83/12.13 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100
% 81.83/12.13 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 81.83/12.13 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 81.83/12.13 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 81.83/12.13 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 81.83/12.13 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 81.83/12.14 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 81.83/12.14 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 81.83/12.14 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 81.83/12.14 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 81.83/12.14 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 81.83/12.14 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 81.83/12.14 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 81.83/12.14 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 81.83/12.14 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 81.83/12.14 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 81.83/12.14 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 81.83/12.14 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 81.83/12.14 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 81.83/12.14 | (all_28_157 = e20)))
% 81.83/12.14 |
% 81.83/12.14 | ALPHA: (365) implies:
% 81.83/12.14 | (366) op1(e10, e10) = all_28_159
% 81.83/12.14 | (367) op1(e10, e11) = all_28_155
% 81.83/12.14 | (368) op1(e10, e12) = all_28_151
% 81.83/12.14 | (369) op1(e10, e13) = all_28_147
% 81.83/12.14 | (370) op1(e11, e10) = all_28_143
% 81.83/12.14 | (371) op1(e11, e11) = all_28_140
% 81.83/12.14 | (372) op1(e11, e12) = all_28_137
% 81.83/12.14 | (373) op1(e11, e13) = all_28_134
% 81.83/12.14 | (374) op1(e12, e10) = all_28_131
% 81.83/12.14 | (375) op1(e12, e11) = all_28_128
% 81.83/12.14 | (376) op1(e12, e12) = all_28_125
% 81.83/12.14 | (377) op1(e12, e13) = all_28_122
% 81.83/12.14 | (378) op1(e13, e10) = all_28_119
% 81.83/12.14 | (379) op1(e13, e11) = all_28_116
% 81.83/12.14 | (380) op1(e13, e12) = all_28_113
% 81.83/12.14 | (381) op1(e13, e13) = all_28_110
% 81.83/12.14 | (382) op2(all_28_149, all_28_149) = all_28_123
% 81.83/12.14 | (383) op2(all_28_149, all_28_145) = all_28_120
% 81.83/12.14 | (384) op2(all_28_145, all_28_149) = all_28_111
% 81.83/12.14 | (385) op2(all_28_145, all_28_145) = all_28_108
% 81.83/12.14 | (386) op2(all_28_100, all_28_100) = all_28_82
% 81.83/12.14 | (387) op2(all_28_70, all_28_70) = all_28_69
% 81.83/12.14 | (388) op2(all_28_70, all_28_67) = all_28_66
% 81.83/12.14 | (389) op2(all_28_70, all_28_64) = all_28_63
% 81.83/12.14 | (390) op2(all_28_70, all_28_61) = all_28_60
% 81.83/12.14 | (391) op2(all_28_67, all_28_70) = all_28_58
% 81.83/12.14 | (392) op2(all_28_67, all_28_67) = all_28_56
% 81.83/12.14 | (393) op2(all_28_67, all_28_64) = all_28_54
% 81.83/12.14 | (394) op2(all_28_67, all_28_61) = all_28_52
% 81.83/12.14 | (395) op2(all_28_64, all_28_70) = all_28_50
% 81.83/12.14 | (396) op2(all_28_64, all_28_67) = all_28_48
% 81.83/12.14 | (397) op2(all_28_64, all_28_64) = all_28_46
% 81.83/12.14 | (398) op2(all_28_64, all_28_61) = all_28_44
% 81.83/12.14 | (399) op2(all_28_61, all_28_70) = all_28_42
% 81.83/12.14 | (400) op2(all_28_61, all_28_67) = all_28_40
% 81.83/12.14 | (401) op2(all_28_61, all_28_64) = all_28_38
% 81.83/12.14 | (402) op2(all_28_61, all_28_61) = all_28_36
% 81.83/12.14 | (403) op2(all_28_28, all_28_28) = all_28_10
% 81.83/12.14 | (404) op2(all_28_28, all_28_25) = all_28_8
% 81.83/12.14 | (405) op2(all_28_25, all_28_34) = all_28_6
% 81.83/12.14 | (406) op2(all_28_25, all_28_28) = all_28_2
% 81.83/12.14 | (407) op2(all_28_25, all_28_25) = all_28_0
% 81.83/12.14 | (408) h1(e12) = all_28_149
% 81.83/12.14 | (409) h1(e13) = all_28_145
% 81.83/12.14 | (410) h2(e12) = all_28_100
% 81.83/12.14 | (411) h3(e10) = all_28_70
% 81.83/12.14 | (412) h3(e11) = all_28_67
% 81.83/12.14 | (413) h3(e12) = all_28_64
% 81.83/12.14 | (414) h3(e13) = all_28_61
% 81.83/12.14 | (415) h3(all_28_159) = all_28_71
% 81.83/12.14 | (416) h3(all_28_155) = all_28_68
% 81.83/12.14 | (417) h3(all_28_151) = all_28_65
% 81.83/12.14 | (418) h3(all_28_147) = all_28_62
% 81.83/12.14 | (419) h3(all_28_143) = all_28_59
% 81.83/12.14 | (420) h3(all_28_140) = all_28_57
% 81.83/12.15 | (421) h3(all_28_137) = all_28_55
% 81.83/12.15 | (422) h3(all_28_134) = all_28_53
% 81.83/12.15 | (423) h3(all_28_131) = all_28_51
% 81.83/12.15 | (424) h3(all_28_128) = all_28_49
% 81.83/12.15 | (425) h3(all_28_125) = all_28_47
% 81.83/12.15 | (426) h3(all_28_122) = all_28_45
% 81.83/12.15 | (427) h3(all_28_119) = all_28_43
% 81.83/12.15 | (428) h3(all_28_116) = all_28_41
% 81.94/12.15 | (429) h3(all_28_113) = all_28_39
% 81.94/12.15 | (430) h3(all_28_110) = all_28_37
% 81.94/12.15 | (431) h4(e10) = all_28_34
% 81.94/12.15 | (432) h4(e12) = all_28_28
% 81.94/12.15 | (433) h4(e13) = all_28_25
% 81.94/12.15 | (434) ~ (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 81.94/12.15 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~ (all_28_44
% 81.94/12.15 | = all_28_45) | ~ (all_28_46 = all_28_47) | ~ (all_28_48 =
% 81.94/12.15 | all_28_49) | ~ (all_28_50 = all_28_51) | ~ (all_28_52 =
% 81.94/12.15 | all_28_53) | ~ (all_28_54 = all_28_55) | ~ (all_28_56 =
% 81.94/12.15 | all_28_57) | ~ (all_28_58 = all_28_59) | ~ (all_28_60 =
% 81.94/12.15 | all_28_62) | ~ (all_28_63 = all_28_65) | ~ (all_28_66 =
% 81.94/12.15 | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 81.94/12.15 | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~ (all_28_70 = e23))
% 81.94/12.15 | | ( ~ (all_28_61 = e22) & ~ (all_28_64 = e22) & ~ (all_28_67 = e22)
% 81.94/12.15 | & ~ (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~ (all_28_64 =
% 81.94/12.15 | e21) & ~ (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 81.94/12.15 | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~ (all_28_67 = e20) &
% 81.94/12.15 | ~ (all_28_70 = e20))
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_16_15, all_22_15, e10, e10,
% 81.94/12.15 | simplifying with (186), (281) gives:
% 81.94/12.15 | (435) all_22_15 = all_16_15
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_22_15, all_26_31, e10, e10,
% 81.94/12.15 | simplifying with (281), (342) gives:
% 81.94/12.15 | (436) all_26_31 = all_22_15
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_26_31, all_28_159, e10, e10,
% 81.94/12.15 | simplifying with (342), (366) gives:
% 81.94/12.15 | (437) all_28_159 = all_26_31
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_12_15, all_28_159, e10, e10,
% 81.94/12.15 | simplifying with (104), (366) gives:
% 81.94/12.15 | (438) all_28_159 = all_12_15
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_26_27, all_28_155, e11, e10,
% 81.94/12.15 | simplifying with (343), (367) gives:
% 81.94/12.15 | (439) all_28_155 = all_26_27
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_22_14, all_28_155, e11, e10,
% 81.94/12.15 | simplifying with (282), (367) gives:
% 81.94/12.15 | (440) all_28_155 = all_22_14
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_16_14, all_28_155, e11, e10,
% 81.94/12.15 | simplifying with (187), (367) gives:
% 81.94/12.15 | (441) all_28_155 = all_16_14
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_12_11, all_28_155, e11, e10,
% 81.94/12.15 | simplifying with (105), (367) gives:
% 81.94/12.15 | (442) all_28_155 = all_12_11
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_16_13, all_26_26, e12, e10,
% 81.94/12.15 | simplifying with (188), (344) gives:
% 81.94/12.15 | (443) all_26_26 = all_16_13
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_12_7, all_26_26, e12, e10,
% 81.94/12.15 | simplifying with (106), (344) gives:
% 81.94/12.15 | (444) all_26_26 = all_12_7
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_26_26, all_28_151, e12, e10,
% 81.94/12.15 | simplifying with (344), (368) gives:
% 81.94/12.15 | (445) all_28_151 = all_26_26
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_22_13, all_28_151, e12, e10,
% 81.94/12.15 | simplifying with (283), (368) gives:
% 81.94/12.15 | (446) all_28_151 = all_22_13
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_16_12, all_26_25, e13, e10,
% 81.94/12.15 | simplifying with (189), (345) gives:
% 81.94/12.15 | (447) all_26_25 = all_16_12
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_12_3, all_26_25, e13, e10,
% 81.94/12.15 | simplifying with (107), (345) gives:
% 81.94/12.15 | (448) all_26_25 = all_12_3
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_26_25, all_28_147, e13, e10,
% 81.94/12.15 | simplifying with (345), (369) gives:
% 81.94/12.15 | (449) all_28_147 = all_26_25
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_22_12, all_28_147, e13, e10,
% 81.94/12.15 | simplifying with (284), (369) gives:
% 81.94/12.15 | (450) all_28_147 = all_22_12
% 81.94/12.15 |
% 81.94/12.15 | GROUND_INST: instantiating (29) with all_16_11, all_26_24, e10, e11,
% 81.94/12.16 | simplifying with (190), (347) gives:
% 81.94/12.16 | (451) all_26_24 = all_16_11
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_14, all_26_24, e10, e11,
% 81.94/12.16 | simplifying with (108), (347) gives:
% 81.94/12.16 | (452) all_26_24 = all_12_14
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_26_24, all_28_143, e10, e11,
% 81.94/12.16 | simplifying with (347), (370) gives:
% 81.94/12.16 | (453) all_28_143 = all_26_24
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_11, all_28_143, e10, e11,
% 81.94/12.16 | simplifying with (285), (370) gives:
% 81.94/12.16 | (454) all_28_143 = all_22_11
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_8, all_26_30, e11, e11,
% 81.94/12.16 | simplifying with (286), (348) gives:
% 81.94/12.16 | (455) all_26_30 = all_22_8
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_26_30, all_28_140, e11, e11,
% 81.94/12.16 | simplifying with (348), (371) gives:
% 81.94/12.16 | (456) all_28_140 = all_26_30
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_10, all_28_140, e11, e11,
% 81.94/12.16 | simplifying with (109), (371) gives:
% 81.94/12.16 | (457) all_28_140 = all_12_10
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_6, all_26_23, e12, e11,
% 81.94/12.16 | simplifying with (110), (349) gives:
% 81.94/12.16 | (458) all_26_23 = all_12_6
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_26_23, all_28_137, e12, e11,
% 81.94/12.16 | simplifying with (349), (372) gives:
% 81.94/12.16 | (459) all_28_137 = all_26_23
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_7, all_28_137, e12, e11,
% 81.94/12.16 | simplifying with (287), (372) gives:
% 81.94/12.16 | (460) all_28_137 = all_22_7
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_16_9, all_28_137, e12, e11,
% 81.94/12.16 | simplifying with (191), (372) gives:
% 81.94/12.16 | (461) all_28_137 = all_16_9
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_16_8, all_26_22, e13, e11,
% 81.94/12.16 | simplifying with (192), (350) gives:
% 81.94/12.16 | (462) all_26_22 = all_16_8
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_26_22, all_28_134, e13, e11,
% 81.94/12.16 | simplifying with (350), (373) gives:
% 81.94/12.16 | (463) all_28_134 = all_26_22
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_6, all_28_134, e13, e11,
% 81.94/12.16 | simplifying with (288), (373) gives:
% 81.94/12.16 | (464) all_28_134 = all_22_6
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_2, all_28_134, e13, e11,
% 81.94/12.16 | simplifying with (111), (373) gives:
% 81.94/12.16 | (465) all_28_134 = all_12_2
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_16_7, all_22_10, e10, e12,
% 81.94/12.16 | simplifying with (193), (289) gives:
% 81.94/12.16 | (466) all_22_10 = all_16_7
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_10, all_26_21, e10, e12,
% 81.94/12.16 | simplifying with (289), (353) gives:
% 81.94/12.16 | (467) all_26_21 = all_22_10
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_26_21, all_28_131, e10, e12,
% 81.94/12.16 | simplifying with (353), (374) gives:
% 81.94/12.16 | (468) all_28_131 = all_26_21
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_13, all_28_131, e10, e12,
% 81.94/12.16 | simplifying with (112), (374) gives:
% 81.94/12.16 | (469) all_28_131 = all_12_13
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_5, all_26_20, e11, e12,
% 81.94/12.16 | simplifying with (290), (354) gives:
% 81.94/12.16 | (470) all_26_20 = all_22_5
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_16_6, all_26_20, e11, e12,
% 81.94/12.16 | simplifying with (194), (354) gives:
% 81.94/12.16 | (471) all_26_20 = all_16_6
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_26_20, all_28_128, e11, e12,
% 81.94/12.16 | simplifying with (354), (375) gives:
% 81.94/12.16 | (472) all_28_128 = all_26_20
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_9, all_28_128, e11, e12,
% 81.94/12.16 | simplifying with (113), (375) gives:
% 81.94/12.16 | (473) all_28_128 = all_12_9
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_5, all_22_3, e12, e12, simplifying
% 81.94/12.16 | with (114), (291) gives:
% 81.94/12.16 | (474) all_22_3 = all_12_5
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with e13, all_22_3, e12, e12, simplifying with
% 81.94/12.16 | (14), (291) gives:
% 81.94/12.16 | (475) all_22_3 = e13
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_26_29, all_28_125, e12, e12,
% 81.94/12.16 | simplifying with (355), (376) gives:
% 81.94/12.16 | (476) all_28_125 = all_26_29
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_3, all_28_125, e12, e12,
% 81.94/12.16 | simplifying with (291), (376) gives:
% 81.94/12.16 | (477) all_28_125 = all_22_3
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_16_5, all_28_125, e12, e12,
% 81.94/12.16 | simplifying with (195), (376) gives:
% 81.94/12.16 | (478) all_28_125 = all_16_5
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_16_4, all_22_2, e13, e12, simplifying
% 81.94/12.16 | with (196), (292) gives:
% 81.94/12.16 | (479) all_22_2 = all_16_4
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_2, all_26_19, e13, e12,
% 81.94/12.16 | simplifying with (292), (356) gives:
% 81.94/12.16 | (480) all_26_19 = all_22_2
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_26_19, all_28_122, e13, e12,
% 81.94/12.16 | simplifying with (356), (377) gives:
% 81.94/12.16 | (481) all_28_122 = all_26_19
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_1, all_28_122, e13, e12,
% 81.94/12.16 | simplifying with (115), (377) gives:
% 81.94/12.16 | (482) all_28_122 = all_12_1
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_22_9, all_26_18, e10, e13,
% 81.94/12.16 | simplifying with (293), (357) gives:
% 81.94/12.16 | (483) all_26_18 = all_22_9
% 81.94/12.16 |
% 81.94/12.16 | GROUND_INST: instantiating (29) with all_12_12, all_26_18, e10, e13,
% 81.94/12.16 | simplifying with (116), (357) gives:
% 81.94/12.16 | (484) all_26_18 = all_12_12
% 81.94/12.16 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_22_9, all_28_119, e10, e13,
% 81.94/12.17 | simplifying with (293), (378) gives:
% 81.94/12.17 | (485) all_28_119 = all_22_9
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_16_3, all_28_119, e10, e13,
% 81.94/12.17 | simplifying with (197), (378) gives:
% 81.94/12.17 | (486) all_28_119 = all_16_3
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_22_4, all_26_17, e11, e13,
% 81.94/12.17 | simplifying with (294), (358) gives:
% 81.94/12.17 | (487) all_26_17 = all_22_4
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_12_8, all_26_17, e11, e13,
% 81.94/12.17 | simplifying with (117), (358) gives:
% 81.94/12.17 | (488) all_26_17 = all_12_8
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_22_4, all_28_116, e11, e13,
% 81.94/12.17 | simplifying with (294), (379) gives:
% 81.94/12.17 | (489) all_28_116 = all_22_4
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_16_2, all_28_116, e11, e13,
% 81.94/12.17 | simplifying with (198), (379) gives:
% 81.94/12.17 | (490) all_28_116 = all_16_2
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_16_1, all_22_1, e12, e13, simplifying
% 81.94/12.17 | with (199), (295) gives:
% 81.94/12.17 | (491) all_22_1 = all_16_1
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_16_1, all_26_16, e12, e13,
% 81.94/12.17 | simplifying with (199), (359) gives:
% 81.94/12.17 | (492) all_26_16 = all_16_1
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_12_4, all_26_16, e12, e13,
% 81.94/12.17 | simplifying with (118), (359) gives:
% 81.94/12.17 | (493) all_26_16 = all_12_4
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_22_1, all_28_113, e12, e13,
% 81.94/12.17 | simplifying with (295), (380) gives:
% 81.94/12.17 | (494) all_28_113 = all_22_1
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with e10, all_28_113, e12, e13, simplifying
% 81.94/12.17 | with (15), (380) gives:
% 81.94/12.17 | (495) all_28_113 = e10
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_16_0, all_22_0, e13, e13, simplifying
% 81.94/12.17 | with (200), (296) gives:
% 81.94/12.17 | (496) all_22_0 = all_16_0
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_12_0, all_22_0, e13, e13, simplifying
% 81.94/12.17 | with (119), (296) gives:
% 81.94/12.17 | (497) all_22_0 = all_12_0
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_22_0, all_26_28, e13, e13,
% 81.94/12.17 | simplifying with (296), (360) gives:
% 81.94/12.17 | (498) all_26_28 = all_22_0
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with all_26_28, all_28_110, e13, e13,
% 81.94/12.17 | simplifying with (360), (381) gives:
% 81.94/12.17 | (499) all_28_110 = all_26_28
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (29) with e11, all_28_110, e13, e13, simplifying
% 81.94/12.17 | with (16), (381) gives:
% 81.94/12.17 | (500) all_28_110 = e11
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_18_15, all_20_15, e20, e20,
% 81.94/12.17 | simplifying with (214), (244) gives:
% 81.94/12.17 | (501) all_20_15 = all_18_15
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_10_1, all_20_15, e20, e20,
% 81.94/12.17 | simplifying with (50), (244) gives:
% 81.94/12.17 | (502) all_20_15 = all_10_1
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_20_15, all_24_31, e20, e20,
% 81.94/12.17 | simplifying with (244), (315) gives:
% 81.94/12.17 | (503) all_24_31 = all_20_15
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_14_15, all_24_31, e20, e20,
% 81.94/12.17 | simplifying with (169), (315) gives:
% 81.94/12.17 | (504) all_24_31 = all_14_15
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_18_14, all_20_14, e21, e20,
% 81.94/12.17 | simplifying with (215), (245) gives:
% 81.94/12.17 | (505) all_20_14 = all_18_14
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_20_14, all_24_27, e21, e20,
% 81.94/12.17 | simplifying with (245), (316) gives:
% 81.94/12.17 | (506) all_24_27 = all_20_14
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_14_11, all_24_27, e21, e20,
% 81.94/12.17 | simplifying with (170), (316) gives:
% 81.94/12.17 | (507) all_24_27 = all_14_11
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_14_7, all_20_13, e22, e20,
% 81.94/12.17 | simplifying with (171), (246) gives:
% 81.94/12.17 | (508) all_20_13 = all_14_7
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_20_13, all_24_26, e22, e20,
% 81.94/12.17 | simplifying with (246), (317) gives:
% 81.94/12.17 | (509) all_24_26 = all_20_13
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_18_13, all_24_26, e22, e20,
% 81.94/12.17 | simplifying with (216), (317) gives:
% 81.94/12.17 | (510) all_24_26 = all_18_13
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_14_3, all_20_12, e23, e20,
% 81.94/12.17 | simplifying with (172), (247) gives:
% 81.94/12.17 | (511) all_20_12 = all_14_3
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_20_12, all_24_25, e23, e20,
% 81.94/12.17 | simplifying with (247), (318) gives:
% 81.94/12.17 | (512) all_24_25 = all_20_12
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_18_12, all_24_25, e23, e20,
% 81.94/12.17 | simplifying with (217), (318) gives:
% 81.94/12.17 | (513) all_24_25 = all_18_12
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_18_11, all_20_11, e20, e21,
% 81.94/12.17 | simplifying with (218), (248) gives:
% 81.94/12.17 | (514) all_20_11 = all_18_11
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_20_11, all_24_24, e20, e21,
% 81.94/12.17 | simplifying with (248), (320) gives:
% 81.94/12.17 | (515) all_24_24 = all_20_11
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_14_14, all_24_24, e20, e21,
% 81.94/12.17 | simplifying with (173), (320) gives:
% 81.94/12.17 | (516) all_24_24 = all_14_14
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_14_10, all_18_10, e21, e21,
% 81.94/12.17 | simplifying with (174), (219) gives:
% 81.94/12.17 | (517) all_18_10 = all_14_10
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_18_10, all_20_8, e21, e21,
% 81.94/12.17 | simplifying with (219), (249) gives:
% 81.94/12.17 | (518) all_20_8 = all_18_10
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_20_8, all_24_30, e21, e21,
% 81.94/12.17 | simplifying with (249), (321) gives:
% 81.94/12.17 | (519) all_24_30 = all_20_8
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_4_1, all_24_30, e21, e21, simplifying
% 81.94/12.17 | with (32), (321) gives:
% 81.94/12.17 | (520) all_24_30 = all_4_1
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_18_9, all_20_7, e22, e21, simplifying
% 81.94/12.17 | with (220), (250) gives:
% 81.94/12.17 | (521) all_20_7 = all_18_9
% 81.94/12.17 |
% 81.94/12.17 | GROUND_INST: instantiating (30) with all_20_7, all_24_23, e22, e21,
% 81.94/12.17 | simplifying with (250), (322) gives:
% 81.94/12.18 | (522) all_24_23 = all_20_7
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_6, all_24_23, e22, e21,
% 81.94/12.18 | simplifying with (175), (322) gives:
% 81.94/12.18 | (523) all_24_23 = all_14_6
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_8, all_20_6, e23, e21, simplifying
% 81.94/12.18 | with (221), (251) gives:
% 81.94/12.18 | (524) all_20_6 = all_18_8
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_6, all_24_22, e23, e21,
% 81.94/12.18 | simplifying with (251), (323) gives:
% 81.94/12.18 | (525) all_24_22 = all_20_6
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_2, all_24_22, e23, e21,
% 81.94/12.18 | simplifying with (176), (323) gives:
% 81.94/12.18 | (526) all_24_22 = all_14_2
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_7, all_20_10, e20, e22,
% 81.94/12.18 | simplifying with (222), (252) gives:
% 81.94/12.18 | (527) all_20_10 = all_18_7
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_10, all_24_21, e20, e22,
% 81.94/12.18 | simplifying with (252), (326) gives:
% 81.94/12.18 | (528) all_24_21 = all_20_10
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_13, all_24_21, e20, e22,
% 81.94/12.18 | simplifying with (177), (326) gives:
% 81.94/12.18 | (529) all_24_21 = all_14_13
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_9, all_20_5, e21, e22, simplifying
% 81.94/12.18 | with (178), (253) gives:
% 81.94/12.18 | (530) all_20_5 = all_14_9
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_5, all_24_20, e21, e22,
% 81.94/12.18 | simplifying with (253), (327) gives:
% 81.94/12.18 | (531) all_24_20 = all_20_5
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_6, all_24_20, e21, e22,
% 81.94/12.18 | simplifying with (223), (327) gives:
% 81.94/12.18 | (532) all_24_20 = all_18_6
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with e23, all_14_5, e22, e22, simplifying with
% 81.94/12.18 | (17), (179) gives:
% 81.94/12.18 | (533) all_14_5 = e23
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_6_1, all_20_3, e22, e22, simplifying
% 81.94/12.18 | with (35), (254) gives:
% 81.94/12.18 | (534) all_20_3 = all_6_1
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_3, all_24_29, e22, e22,
% 81.94/12.18 | simplifying with (254), (328) gives:
% 81.94/12.18 | (535) all_24_29 = all_20_3
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_5, all_24_29, e22, e22,
% 81.94/12.18 | simplifying with (224), (328) gives:
% 81.94/12.18 | (536) all_24_29 = all_18_5
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_5, all_24_29, e22, e22,
% 81.94/12.18 | simplifying with (179), (328) gives:
% 81.94/12.18 | (537) all_24_29 = all_14_5
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_4, all_20_2, e23, e22, simplifying
% 81.94/12.18 | with (225), (255) gives:
% 81.94/12.18 | (538) all_20_2 = all_18_4
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_2, all_24_19, e23, e22,
% 81.94/12.18 | simplifying with (255), (329) gives:
% 81.94/12.18 | (539) all_24_19 = all_20_2
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_1, all_24_19, e23, e22,
% 81.94/12.18 | simplifying with (180), (329) gives:
% 81.94/12.18 | (540) all_24_19 = all_14_1
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_9, all_24_18, e20, e23,
% 81.94/12.18 | simplifying with (256), (331) gives:
% 81.94/12.18 | (541) all_24_18 = all_20_9
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_3, all_24_18, e20, e23,
% 81.94/12.18 | simplifying with (226), (331) gives:
% 81.94/12.18 | (542) all_24_18 = all_18_3
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_12, all_24_18, e20, e23,
% 81.94/12.18 | simplifying with (181), (331) gives:
% 81.94/12.18 | (543) all_24_18 = all_14_12
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_2, all_20_4, e21, e23, simplifying
% 81.94/12.18 | with (227), (257) gives:
% 81.94/12.18 | (544) all_20_4 = all_18_2
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_4, all_24_17, e21, e23,
% 81.94/12.18 | simplifying with (257), (332) gives:
% 81.94/12.18 | (545) all_24_17 = all_20_4
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_8, all_24_17, e21, e23,
% 81.94/12.18 | simplifying with (182), (332) gives:
% 81.94/12.18 | (546) all_24_17 = all_14_8
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_1, all_20_1, e22, e23, simplifying
% 81.94/12.18 | with (228), (258) gives:
% 81.94/12.18 | (547) all_20_1 = all_18_1
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with e20, all_20_1, e22, e23, simplifying with
% 81.94/12.18 | (18), (258) gives:
% 81.94/12.18 | (548) all_20_1 = e20
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_1, all_24_16, e22, e23,
% 81.94/12.18 | simplifying with (258), (333) gives:
% 81.94/12.18 | (549) all_24_16 = all_20_1
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_4, all_24_16, e22, e23,
% 81.94/12.18 | simplifying with (183), (333) gives:
% 81.94/12.18 | (550) all_24_16 = all_14_4
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_8_1, all_18_0, e23, e23, simplifying
% 81.94/12.18 | with (43), (229) gives:
% 81.94/12.18 | (551) all_18_0 = all_8_1
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with e21, all_18_0, e23, e23, simplifying with
% 81.94/12.18 | (19), (229) gives:
% 81.94/12.18 | (552) all_18_0 = e21
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_20_0, all_24_28, e23, e23,
% 81.94/12.18 | simplifying with (259), (334) gives:
% 81.94/12.18 | (553) all_24_28 = all_20_0
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_18_0, all_24_28, e23, e23,
% 81.94/12.18 | simplifying with (229), (334) gives:
% 81.94/12.18 | (554) all_24_28 = all_18_0
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (30) with all_14_0, all_24_28, e23, e23,
% 81.94/12.18 | simplifying with (184), (334) gives:
% 81.94/12.18 | (555) all_24_28 = all_14_0
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (25) with e20, all_28_149, e12, simplifying with
% 81.94/12.18 | (53), (408) gives:
% 81.94/12.18 | (556) all_28_149 = e20
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (25) with all_10_1, all_28_145, e13, simplifying
% 81.94/12.18 | with (54), (409) gives:
% 81.94/12.18 | (557) all_28_145 = all_10_1
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (26) with e21, all_28_100, e12, simplifying with
% 81.94/12.18 | (33), (410) gives:
% 81.94/12.18 | (558) all_28_100 = e21
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (27) with all_6_2, all_28_70, e10, simplifying with
% 81.94/12.18 | (38), (411) gives:
% 81.94/12.18 | (559) all_28_70 = all_6_2
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (27) with all_6_0, all_28_67, e11, simplifying with
% 81.94/12.18 | (39), (412) gives:
% 81.94/12.18 | (560) all_28_67 = all_6_0
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (27) with e22, all_28_64, e12, simplifying with
% 81.94/12.18 | (40), (413) gives:
% 81.94/12.18 | (561) all_28_64 = e22
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (27) with all_6_1, all_28_61, e13, simplifying with
% 81.94/12.18 | (41), (414) gives:
% 81.94/12.18 | (562) all_28_61 = all_6_1
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (28) with all_8_2, all_28_34, e10, simplifying with
% 81.94/12.18 | (46), (431) gives:
% 81.94/12.18 | (563) all_28_34 = all_8_2
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (28) with e23, all_28_28, e12, simplifying with
% 81.94/12.18 | (47), (432) gives:
% 81.94/12.18 | (564) all_28_28 = e23
% 81.94/12.18 |
% 81.94/12.18 | GROUND_INST: instantiating (28) with all_8_1, all_28_25, e13, simplifying with
% 81.94/12.18 | (48), (433) gives:
% 81.94/12.18 | (565) all_28_25 = all_8_1
% 81.94/12.18 |
% 81.94/12.18 | COMBINE_EQS: (499), (500) imply:
% 81.94/12.19 | (566) all_26_28 = e11
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (566) implies:
% 81.94/12.19 | (567) all_26_28 = e11
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (494), (495) imply:
% 81.94/12.19 | (568) all_22_1 = e10
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (568) implies:
% 81.94/12.19 | (569) all_22_1 = e10
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (489), (490) imply:
% 81.94/12.19 | (570) all_22_4 = all_16_2
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (570) implies:
% 81.94/12.19 | (571) all_22_4 = all_16_2
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (485), (486) imply:
% 81.94/12.19 | (572) all_22_9 = all_16_3
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (572) implies:
% 81.94/12.19 | (573) all_22_9 = all_16_3
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (481), (482) imply:
% 81.94/12.19 | (574) all_26_19 = all_12_1
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (574) implies:
% 81.94/12.19 | (575) all_26_19 = all_12_1
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (476), (477) imply:
% 81.94/12.19 | (576) all_26_29 = all_22_3
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (476), (478) imply:
% 81.94/12.19 | (577) all_26_29 = all_16_5
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (472), (473) imply:
% 81.94/12.19 | (578) all_26_20 = all_12_9
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (578) implies:
% 81.94/12.19 | (579) all_26_20 = all_12_9
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (468), (469) imply:
% 81.94/12.19 | (580) all_26_21 = all_12_13
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (580) implies:
% 81.94/12.19 | (581) all_26_21 = all_12_13
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (463), (464) imply:
% 81.94/12.19 | (582) all_26_22 = all_22_6
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (582) implies:
% 81.94/12.19 | (583) all_26_22 = all_22_6
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (464), (465) imply:
% 81.94/12.19 | (584) all_22_6 = all_12_2
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (459), (460) imply:
% 81.94/12.19 | (585) all_26_23 = all_22_7
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (585) implies:
% 81.94/12.19 | (586) all_26_23 = all_22_7
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (460), (461) imply:
% 81.94/12.19 | (587) all_22_7 = all_16_9
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (456), (457) imply:
% 81.94/12.19 | (588) all_26_30 = all_12_10
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (588) implies:
% 81.94/12.19 | (589) all_26_30 = all_12_10
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (453), (454) imply:
% 81.94/12.19 | (590) all_26_24 = all_22_11
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (590) implies:
% 81.94/12.19 | (591) all_26_24 = all_22_11
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (449), (450) imply:
% 81.94/12.19 | (592) all_26_25 = all_22_12
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (592) implies:
% 81.94/12.19 | (593) all_26_25 = all_22_12
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (445), (446) imply:
% 81.94/12.19 | (594) all_26_26 = all_22_13
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (594) implies:
% 81.94/12.19 | (595) all_26_26 = all_22_13
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (439), (441) imply:
% 81.94/12.19 | (596) all_26_27 = all_16_14
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (439), (442) imply:
% 81.94/12.19 | (597) all_26_27 = all_12_11
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (439), (440) imply:
% 81.94/12.19 | (598) all_26_27 = all_22_14
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (437), (438) imply:
% 81.94/12.19 | (599) all_26_31 = all_12_15
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (599) implies:
% 81.94/12.19 | (600) all_26_31 = all_12_15
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (492), (493) imply:
% 81.94/12.19 | (601) all_16_1 = all_12_4
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (601) implies:
% 81.94/12.19 | (602) all_16_1 = all_12_4
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (487), (488) imply:
% 81.94/12.19 | (603) all_22_4 = all_12_8
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (603) implies:
% 81.94/12.19 | (604) all_22_4 = all_12_8
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (483), (484) imply:
% 81.94/12.19 | (605) all_22_9 = all_12_12
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (605) implies:
% 81.94/12.19 | (606) all_22_9 = all_12_12
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (480), (575) imply:
% 81.94/12.19 | (607) all_22_2 = all_12_1
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (607) implies:
% 81.94/12.19 | (608) all_22_2 = all_12_1
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (470), (471) imply:
% 81.94/12.19 | (609) all_22_5 = all_16_6
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (470), (579) imply:
% 81.94/12.19 | (610) all_22_5 = all_12_9
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (467), (581) imply:
% 81.94/12.19 | (611) all_22_10 = all_12_13
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (611) implies:
% 81.94/12.19 | (612) all_22_10 = all_12_13
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (462), (583) imply:
% 81.94/12.19 | (613) all_22_6 = all_16_8
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (613) implies:
% 81.94/12.19 | (614) all_22_6 = all_16_8
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (458), (586) imply:
% 81.94/12.19 | (615) all_22_7 = all_12_6
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (615) implies:
% 81.94/12.19 | (616) all_22_7 = all_12_6
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (452), (591) imply:
% 81.94/12.19 | (617) all_22_11 = all_12_14
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (451), (591) imply:
% 81.94/12.19 | (618) all_22_11 = all_16_11
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (448), (593) imply:
% 81.94/12.19 | (619) all_22_12 = all_12_3
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (447), (593) imply:
% 81.94/12.19 | (620) all_22_12 = all_16_12
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (444), (595) imply:
% 81.94/12.19 | (621) all_22_13 = all_12_7
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (443), (595) imply:
% 81.94/12.19 | (622) all_22_13 = all_16_13
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (597), (598) imply:
% 81.94/12.19 | (623) all_22_14 = all_12_11
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (596), (598) imply:
% 81.94/12.19 | (624) all_22_14 = all_16_14
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (498), (567) imply:
% 81.94/12.19 | (625) all_22_0 = e11
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (625) implies:
% 81.94/12.19 | (626) all_22_0 = e11
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (576), (577) imply:
% 81.94/12.19 | (627) all_22_3 = all_16_5
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (627) implies:
% 81.94/12.19 | (628) all_22_3 = all_16_5
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (455), (589) imply:
% 81.94/12.19 | (629) all_22_8 = all_12_10
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (629) implies:
% 81.94/12.19 | (630) all_22_8 = all_12_10
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (436), (600) imply:
% 81.94/12.19 | (631) all_22_15 = all_12_15
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (631) implies:
% 81.94/12.19 | (632) all_22_15 = all_12_15
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (549), (550) imply:
% 81.94/12.19 | (633) all_20_1 = all_14_4
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (633) implies:
% 81.94/12.19 | (634) all_20_1 = all_14_4
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (545), (546) imply:
% 81.94/12.19 | (635) all_20_4 = all_14_8
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (635) implies:
% 81.94/12.19 | (636) all_20_4 = all_14_8
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (541), (543) imply:
% 81.94/12.19 | (637) all_20_9 = all_14_12
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (541), (542) imply:
% 81.94/12.19 | (638) all_20_9 = all_18_3
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (539), (540) imply:
% 81.94/12.19 | (639) all_20_2 = all_14_1
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (639) implies:
% 81.94/12.19 | (640) all_20_2 = all_14_1
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (531), (532) imply:
% 81.94/12.19 | (641) all_20_5 = all_18_6
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (641) implies:
% 81.94/12.19 | (642) all_20_5 = all_18_6
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (528), (529) imply:
% 81.94/12.19 | (643) all_20_10 = all_14_13
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (643) implies:
% 81.94/12.19 | (644) all_20_10 = all_14_13
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (525), (526) imply:
% 81.94/12.19 | (645) all_20_6 = all_14_2
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (645) implies:
% 81.94/12.19 | (646) all_20_6 = all_14_2
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (522), (523) imply:
% 81.94/12.19 | (647) all_20_7 = all_14_6
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (647) implies:
% 81.94/12.19 | (648) all_20_7 = all_14_6
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (515), (516) imply:
% 81.94/12.19 | (649) all_20_11 = all_14_14
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (649) implies:
% 81.94/12.19 | (650) all_20_11 = all_14_14
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (512), (513) imply:
% 81.94/12.19 | (651) all_20_12 = all_18_12
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (651) implies:
% 81.94/12.19 | (652) all_20_12 = all_18_12
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (509), (510) imply:
% 81.94/12.19 | (653) all_20_13 = all_18_13
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (653) implies:
% 81.94/12.19 | (654) all_20_13 = all_18_13
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (506), (507) imply:
% 81.94/12.19 | (655) all_20_14 = all_14_11
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (655) implies:
% 81.94/12.19 | (656) all_20_14 = all_14_11
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (553), (555) imply:
% 81.94/12.19 | (657) all_20_0 = all_14_0
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (553), (554) imply:
% 81.94/12.19 | (658) all_20_0 = all_18_0
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (536), (537) imply:
% 81.94/12.19 | (659) all_18_5 = all_14_5
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (535), (536) imply:
% 81.94/12.19 | (660) all_20_3 = all_18_5
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (660) implies:
% 81.94/12.19 | (661) all_20_3 = all_18_5
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (519), (520) imply:
% 81.94/12.19 | (662) all_20_8 = all_4_1
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (662) implies:
% 81.94/12.19 | (663) all_20_8 = all_4_1
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (503), (504) imply:
% 81.94/12.19 | (664) all_20_15 = all_14_15
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (664) implies:
% 81.94/12.19 | (665) all_20_15 = all_14_15
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (496), (626) imply:
% 81.94/12.19 | (666) all_16_0 = e11
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (496), (497) imply:
% 81.94/12.19 | (667) all_16_0 = all_12_0
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (491), (569) imply:
% 81.94/12.19 | (668) all_16_1 = e10
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (668) implies:
% 81.94/12.19 | (669) all_16_1 = e10
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (479), (608) imply:
% 81.94/12.19 | (670) all_16_4 = all_12_1
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (670) implies:
% 81.94/12.19 | (671) all_16_4 = all_12_1
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (475), (628) imply:
% 81.94/12.19 | (672) all_16_5 = e13
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (474), (628) imply:
% 81.94/12.19 | (673) all_16_5 = all_12_5
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (571), (604) imply:
% 81.94/12.19 | (674) all_16_2 = all_12_8
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (674) implies:
% 81.94/12.19 | (675) all_16_2 = all_12_8
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (609), (610) imply:
% 81.94/12.19 | (676) all_16_6 = all_12_9
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (584), (614) imply:
% 81.94/12.19 | (677) all_16_8 = all_12_2
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (677) implies:
% 81.94/12.19 | (678) all_16_8 = all_12_2
% 81.94/12.19 |
% 81.94/12.19 | COMBINE_EQS: (587), (616) imply:
% 81.94/12.19 | (679) all_16_9 = all_12_6
% 81.94/12.19 |
% 81.94/12.19 | SIMP: (679) implies:
% 81.94/12.20 | (680) all_16_9 = all_12_6
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (573), (606) imply:
% 81.94/12.20 | (681) all_16_3 = all_12_12
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (681) implies:
% 81.94/12.20 | (682) all_16_3 = all_12_12
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (466), (612) imply:
% 81.94/12.20 | (683) all_16_7 = all_12_13
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (617), (618) imply:
% 81.94/12.20 | (684) all_16_11 = all_12_14
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (684) implies:
% 81.94/12.20 | (685) all_16_11 = all_12_14
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (619), (620) imply:
% 81.94/12.20 | (686) all_16_12 = all_12_3
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (686) implies:
% 81.94/12.20 | (687) all_16_12 = all_12_3
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (621), (622) imply:
% 81.94/12.20 | (688) all_16_13 = all_12_7
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (688) implies:
% 81.94/12.20 | (689) all_16_13 = all_12_7
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (623), (624) imply:
% 81.94/12.20 | (690) all_16_14 = all_12_11
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (690) implies:
% 81.94/12.20 | (691) all_16_14 = all_12_11
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (435), (632) imply:
% 81.94/12.20 | (692) all_16_15 = all_12_15
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (692) implies:
% 81.94/12.20 | (693) all_16_15 = all_12_15
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (657), (658) imply:
% 81.94/12.20 | (694) all_18_0 = all_14_0
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (694) implies:
% 81.94/12.20 | (695) all_18_0 = all_14_0
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (547), (634) imply:
% 81.94/12.20 | (696) all_18_1 = all_14_4
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (547), (548) imply:
% 81.94/12.20 | (697) all_18_1 = e20
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (538), (640) imply:
% 81.94/12.20 | (698) all_18_4 = all_14_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (534), (661) imply:
% 81.94/12.20 | (699) all_18_5 = all_6_1
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (699) implies:
% 81.94/12.20 | (700) all_18_5 = all_6_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (544), (636) imply:
% 81.94/12.20 | (701) all_18_2 = all_14_8
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (701) implies:
% 81.94/12.20 | (702) all_18_2 = all_14_8
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (530), (642) imply:
% 81.94/12.20 | (703) all_18_6 = all_14_9
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (703) implies:
% 81.94/12.20 | (704) all_18_6 = all_14_9
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (524), (646) imply:
% 81.94/12.20 | (705) all_18_8 = all_14_2
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (705) implies:
% 81.94/12.20 | (706) all_18_8 = all_14_2
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (521), (648) imply:
% 81.94/12.20 | (707) all_18_9 = all_14_6
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (518), (663) imply:
% 81.94/12.20 | (708) all_18_10 = all_4_1
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (708) implies:
% 81.94/12.20 | (709) all_18_10 = all_4_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (637), (638) imply:
% 81.94/12.20 | (710) all_18_3 = all_14_12
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (710) implies:
% 81.94/12.20 | (711) all_18_3 = all_14_12
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (527), (644) imply:
% 81.94/12.20 | (712) all_18_7 = all_14_13
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (712) implies:
% 81.94/12.20 | (713) all_18_7 = all_14_13
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (514), (650) imply:
% 81.94/12.20 | (714) all_18_11 = all_14_14
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (714) implies:
% 81.94/12.20 | (715) all_18_11 = all_14_14
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (511), (652) imply:
% 81.94/12.20 | (716) all_18_12 = all_14_3
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (508), (654) imply:
% 81.94/12.20 | (717) all_18_13 = all_14_7
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (505), (656) imply:
% 81.94/12.20 | (718) all_18_14 = all_14_11
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (718) implies:
% 81.94/12.20 | (719) all_18_14 = all_14_11
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (501), (502) imply:
% 81.94/12.20 | (720) all_18_15 = all_10_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (501), (665) imply:
% 81.94/12.20 | (721) all_18_15 = all_14_15
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (552), (695) imply:
% 81.94/12.20 | (722) all_14_0 = e21
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (551), (695) imply:
% 81.94/12.20 | (723) all_14_0 = all_8_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (696), (697) imply:
% 81.94/12.20 | (724) all_14_4 = e20
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (724) implies:
% 81.94/12.20 | (725) all_14_4 = e20
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (659), (700) imply:
% 81.94/12.20 | (726) all_14_5 = all_6_1
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (726) implies:
% 81.94/12.20 | (727) all_14_5 = all_6_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (517), (709) imply:
% 81.94/12.20 | (728) all_14_10 = all_4_1
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (728) implies:
% 81.94/12.20 | (729) all_14_10 = all_4_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (720), (721) imply:
% 81.94/12.20 | (730) all_14_15 = all_10_1
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (730) implies:
% 81.94/12.20 | (731) all_14_15 = all_10_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (666), (667) imply:
% 81.94/12.20 | (732) all_12_0 = e11
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (732) implies:
% 81.94/12.20 | (733) all_12_0 = e11
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (602), (669) imply:
% 81.94/12.20 | (734) all_12_4 = e10
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (734) implies:
% 81.94/12.20 | (735) all_12_4 = e10
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (672), (673) imply:
% 81.94/12.20 | (736) all_12_5 = e13
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (722), (723) imply:
% 81.94/12.20 | (737) all_8_1 = e21
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (533), (727) imply:
% 81.94/12.20 | (738) all_6_1 = e23
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (700), (738) imply:
% 81.94/12.20 | (739) all_18_5 = e23
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (534), (738) imply:
% 81.94/12.20 | (740) all_20_3 = e23
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (657), (722) imply:
% 81.94/12.20 | (741) all_20_0 = e21
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (504), (731) imply:
% 81.94/12.20 | (742) all_24_31 = all_10_1
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (536), (739) imply:
% 81.94/12.20 | (743) all_24_29 = e23
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (553), (741) imply:
% 81.94/12.20 | (744) all_24_28 = e21
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (510), (717) imply:
% 81.94/12.20 | (745) all_24_26 = all_14_7
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (513), (716) imply:
% 81.94/12.20 | (746) all_24_25 = all_14_3
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (532), (704) imply:
% 81.94/12.20 | (747) all_24_20 = all_14_9
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (550), (725) imply:
% 81.94/12.20 | (748) all_24_16 = e20
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (577), (672) imply:
% 81.94/12.20 | (749) all_26_29 = e13
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (462), (678) imply:
% 81.94/12.20 | (750) all_26_22 = all_12_2
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (493), (735) imply:
% 81.94/12.20 | (751) all_26_16 = e10
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (446), (621) imply:
% 81.94/12.20 | (752) all_28_151 = all_12_7
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (450), (619) imply:
% 81.94/12.20 | (753) all_28_147 = all_12_3
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (454), (617) imply:
% 81.94/12.20 | (754) all_28_143 = all_12_14
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (460), (616) imply:
% 81.94/12.20 | (755) all_28_137 = all_12_6
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (476), (749) imply:
% 81.94/12.20 | (756) all_28_125 = e13
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (486), (682) imply:
% 81.94/12.20 | (757) all_28_119 = all_12_12
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (490), (675) imply:
% 81.94/12.20 | (758) all_28_116 = all_12_8
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (562), (738) imply:
% 81.94/12.20 | (759) all_28_61 = e23
% 81.94/12.20 |
% 81.94/12.20 | COMBINE_EQS: (565), (737) imply:
% 81.94/12.20 | (760) all_28_25 = e21
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (168), (722) imply:
% 81.94/12.20 | (761) ~ (all_14_1 = e21)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (761) implies:
% 81.94/12.20 | (762) ~ (all_14_1 = e21)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (167), (722) imply:
% 81.94/12.20 | (763) ~ (all_14_2 = e21)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (763) implies:
% 81.94/12.20 | (764) ~ (all_14_2 = e21)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (166), (722) imply:
% 81.94/12.20 | (765) ~ (all_14_3 = e21)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (765) implies:
% 81.94/12.20 | (766) ~ (all_14_3 = e21)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (165), (722), (725) imply:
% 81.94/12.20 | (767) ~ (e21 = e20)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (164), (722) imply:
% 81.94/12.20 | (768) ~ (all_14_8 = e21)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (768) implies:
% 81.94/12.20 | (769) ~ (all_14_8 = e21)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (163), (722) imply:
% 81.94/12.20 | (770) ~ (all_14_12 = e21)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (770) implies:
% 81.94/12.20 | (771) ~ (all_14_12 = e21)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (160), (533) imply:
% 81.94/12.20 | (772) ~ (all_14_1 = e23)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (155), (729) imply:
% 81.94/12.20 | (773) ~ (all_14_2 = all_4_1)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (151), (731) imply:
% 81.94/12.20 | (774) ~ (all_14_3 = all_10_1)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (150), (533), (725) imply:
% 81.94/12.20 | (775) ~ (e23 = e20)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (775) implies:
% 81.94/12.20 | (776) ~ (e23 = e20)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (149), (725) imply:
% 81.94/12.20 | (777) ~ (all_14_6 = e20)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (777) implies:
% 81.94/12.20 | (778) ~ (all_14_6 = e20)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (148), (725) imply:
% 81.94/12.20 | (779) ~ (all_14_7 = e20)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (779) implies:
% 81.94/12.20 | (780) ~ (all_14_7 = e20)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (147), (725) imply:
% 81.94/12.20 | (781) ~ (all_14_8 = e20)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (781) implies:
% 81.94/12.20 | (782) ~ (all_14_8 = e20)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (146), (725) imply:
% 81.94/12.20 | (783) ~ (all_14_12 = e20)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (783) implies:
% 81.94/12.20 | (784) ~ (all_14_12 = e20)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (145), (533) imply:
% 81.94/12.20 | (785) ~ (all_14_6 = e23)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (785) implies:
% 81.94/12.20 | (786) ~ (all_14_6 = e23)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (144), (533) imply:
% 81.94/12.20 | (787) ~ (all_14_7 = e23)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (787) implies:
% 81.94/12.20 | (788) ~ (all_14_7 = e23)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (143), (533) imply:
% 81.94/12.20 | (789) ~ (all_14_9 = e23)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (789) implies:
% 81.94/12.20 | (790) ~ (all_14_9 = e23)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (142), (533) imply:
% 81.94/12.20 | (791) ~ (all_14_13 = e23)
% 81.94/12.20 |
% 81.94/12.20 | SIMP: (791) implies:
% 81.94/12.20 | (792) ~ (all_14_13 = e23)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (140), (729) imply:
% 81.94/12.20 | (793) ~ (all_14_6 = all_4_1)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (137), (731) imply:
% 81.94/12.20 | (794) ~ (all_14_7 = all_10_1)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (135), (729) imply:
% 81.94/12.20 | (795) ~ (all_14_8 = all_4_1)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (132), (729) imply:
% 81.94/12.20 | (796) ~ (all_14_9 = all_4_1)
% 81.94/12.20 |
% 81.94/12.20 | REDUCE: (129), (729) imply:
% 81.94/12.20 | (797) ~ (all_14_11 = all_4_1)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (797) implies:
% 81.94/12.21 | (798) ~ (all_14_11 = all_4_1)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (128), (729) imply:
% 81.94/12.21 | (799) ~ (all_14_14 = all_4_1)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (799) implies:
% 81.94/12.21 | (800) ~ (all_14_14 = all_4_1)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (127), (731) imply:
% 81.94/12.21 | (801) ~ (all_14_11 = all_10_1)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (124), (731) imply:
% 81.94/12.21 | (802) ~ (all_14_12 = all_10_1)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (122), (731) imply:
% 81.94/12.21 | (803) ~ (all_14_13 = all_10_1)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (121), (731) imply:
% 81.94/12.21 | (804) ~ (all_14_14 = all_10_1)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (103), (733) imply:
% 81.94/12.21 | (805) ~ (all_12_1 = e11)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (805) implies:
% 81.94/12.21 | (806) ~ (all_12_1 = e11)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (102), (733) imply:
% 81.94/12.21 | (807) ~ (all_12_2 = e11)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (807) implies:
% 81.94/12.21 | (808) ~ (all_12_2 = e11)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (101), (733) imply:
% 81.94/12.21 | (809) ~ (all_12_3 = e11)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (809) implies:
% 81.94/12.21 | (810) ~ (all_12_3 = e11)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (100), (733), (735) imply:
% 81.94/12.21 | (811) ~ (e11 = e10)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (99), (733) imply:
% 81.94/12.21 | (812) ~ (all_12_8 = e11)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (812) implies:
% 81.94/12.21 | (813) ~ (all_12_8 = e11)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (98), (733) imply:
% 81.94/12.21 | (814) ~ (all_12_12 = e11)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (814) implies:
% 81.94/12.21 | (815) ~ (all_12_12 = e11)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (95), (736) imply:
% 81.94/12.21 | (816) ~ (all_12_1 = e13)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (85), (735), (736) imply:
% 81.94/12.21 | (817) ~ (e13 = e10)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (817) implies:
% 81.94/12.21 | (818) ~ (e13 = e10)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (84), (735) imply:
% 81.94/12.21 | (819) ~ (all_12_6 = e10)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (819) implies:
% 81.94/12.21 | (820) ~ (all_12_6 = e10)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (83), (735) imply:
% 81.94/12.21 | (821) ~ (all_12_7 = e10)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (821) implies:
% 81.94/12.21 | (822) ~ (all_12_7 = e10)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (82), (735) imply:
% 81.94/12.21 | (823) ~ (all_12_8 = e10)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (823) implies:
% 81.94/12.21 | (824) ~ (all_12_8 = e10)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (81), (735) imply:
% 81.94/12.21 | (825) ~ (all_12_12 = e10)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (825) implies:
% 81.94/12.21 | (826) ~ (all_12_12 = e10)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (80), (736) imply:
% 81.94/12.21 | (827) ~ (all_12_6 = e13)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (827) implies:
% 81.94/12.21 | (828) ~ (all_12_6 = e13)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (79), (736) imply:
% 81.94/12.21 | (829) ~ (all_12_7 = e13)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (829) implies:
% 81.94/12.21 | (830) ~ (all_12_7 = e13)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (78), (736) imply:
% 81.94/12.21 | (831) ~ (all_12_9 = e13)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (831) implies:
% 81.94/12.21 | (832) ~ (all_12_9 = e13)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (77), (736) imply:
% 81.94/12.21 | (833) ~ (all_12_13 = e13)
% 81.94/12.21 |
% 81.94/12.21 | SIMP: (833) implies:
% 81.94/12.21 | (834) ~ (all_12_13 = e13)
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (430), (500) imply:
% 81.94/12.21 | (835) h3(e11) = all_28_37
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (429), (495) imply:
% 81.94/12.21 | (836) h3(e10) = all_28_39
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (428), (758) imply:
% 81.94/12.21 | (837) h3(all_12_8) = all_28_41
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (427), (757) imply:
% 81.94/12.21 | (838) h3(all_12_12) = all_28_43
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (426), (482) imply:
% 81.94/12.21 | (839) h3(all_12_1) = all_28_45
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (425), (756) imply:
% 81.94/12.21 | (840) h3(e13) = all_28_47
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (424), (473) imply:
% 81.94/12.21 | (841) h3(all_12_9) = all_28_49
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (423), (469) imply:
% 81.94/12.21 | (842) h3(all_12_13) = all_28_51
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (422), (465) imply:
% 81.94/12.21 | (843) h3(all_12_2) = all_28_53
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (421), (755) imply:
% 81.94/12.21 | (844) h3(all_12_6) = all_28_55
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (420), (457) imply:
% 81.94/12.21 | (845) h3(all_12_10) = all_28_57
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (419), (754) imply:
% 81.94/12.21 | (846) h3(all_12_14) = all_28_59
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (418), (753) imply:
% 81.94/12.21 | (847) h3(all_12_3) = all_28_62
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (417), (752) imply:
% 81.94/12.21 | (848) h3(all_12_7) = all_28_65
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (416), (442) imply:
% 81.94/12.21 | (849) h3(all_12_11) = all_28_68
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (415), (438) imply:
% 81.94/12.21 | (850) h3(all_12_15) = all_28_71
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (41), (738) imply:
% 81.94/12.21 | (851) h3(e13) = e23
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (407), (760) imply:
% 81.94/12.21 | (852) op2(e21, e21) = all_28_0
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (406), (564), (760) imply:
% 81.94/12.21 | (853) op2(e21, e23) = all_28_2
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (405), (563), (760) imply:
% 81.94/12.21 | (854) op2(e21, all_8_2) = all_28_6
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (404), (564), (760) imply:
% 81.94/12.21 | (855) op2(e23, e21) = all_28_8
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (403), (564) imply:
% 81.94/12.21 | (856) op2(e23, e23) = all_28_10
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (402), (759) imply:
% 81.94/12.21 | (857) op2(e23, e23) = all_28_36
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (401), (561), (759) imply:
% 81.94/12.21 | (858) op2(e23, e22) = all_28_38
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (400), (560), (759) imply:
% 81.94/12.21 | (859) op2(e23, all_6_0) = all_28_40
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (399), (559), (759) imply:
% 81.94/12.21 | (860) op2(e23, all_6_2) = all_28_42
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (398), (561), (759) imply:
% 81.94/12.21 | (861) op2(e22, e23) = all_28_44
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (397), (561) imply:
% 81.94/12.21 | (862) op2(e22, e22) = all_28_46
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (396), (560), (561) imply:
% 81.94/12.21 | (863) op2(e22, all_6_0) = all_28_48
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (395), (559), (561) imply:
% 81.94/12.21 | (864) op2(e22, all_6_2) = all_28_50
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (394), (560), (759) imply:
% 81.94/12.21 | (865) op2(all_6_0, e23) = all_28_52
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (393), (560), (561) imply:
% 81.94/12.21 | (866) op2(all_6_0, e22) = all_28_54
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (392), (560) imply:
% 81.94/12.21 | (867) op2(all_6_0, all_6_0) = all_28_56
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (391), (559), (560) imply:
% 81.94/12.21 | (868) op2(all_6_0, all_6_2) = all_28_58
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (390), (559), (759) imply:
% 81.94/12.21 | (869) op2(all_6_2, e23) = all_28_60
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (389), (559), (561) imply:
% 81.94/12.21 | (870) op2(all_6_2, e22) = all_28_63
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (388), (559), (560) imply:
% 81.94/12.21 | (871) op2(all_6_2, all_6_0) = all_28_66
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (387), (559) imply:
% 81.94/12.21 | (872) op2(all_6_2, all_6_2) = all_28_69
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (386), (558) imply:
% 81.94/12.21 | (873) op2(e21, e21) = all_28_82
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (385), (557) imply:
% 81.94/12.21 | (874) op2(all_10_1, all_10_1) = all_28_108
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (384), (556), (557) imply:
% 81.94/12.21 | (875) op2(all_10_1, e20) = all_28_111
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (383), (556), (557) imply:
% 81.94/12.21 | (876) op2(e20, all_10_1) = all_28_120
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (382), (556) imply:
% 81.94/12.21 | (877) op2(e20, e20) = all_28_123
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (45), (737) imply:
% 81.94/12.21 | (878) op2(e21, e21) = all_8_0
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (44), (737) imply:
% 81.94/12.21 | (879) op2(e21, e23) = all_8_2
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (37), (738) imply:
% 81.94/12.21 | (880) op2(e23, e23) = all_6_0
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (36), (738) imply:
% 81.94/12.21 | (881) op2(e23, e22) = all_6_2
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (337), (748) imply:
% 81.94/12.21 | (882) op2(e23, e20) = all_24_1
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (336), (543) imply:
% 81.94/12.21 | (883) op2(e23, all_14_12) = all_24_3
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (335), (744) imply:
% 81.94/12.21 | (884) op2(e23, e21) = all_24_0
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (330), (743) imply:
% 81.94/12.21 | (885) op2(e22, e23) = all_24_5
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (325), (526) imply:
% 81.94/12.21 | (886) op2(e21, all_14_2) = all_24_8
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (324), (516) imply:
% 81.94/12.21 | (887) op2(e21, all_14_14) = all_24_11
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (319), (742) imply:
% 81.94/12.21 | (888) op2(e20, all_10_1) = all_24_15
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (361), (484) imply:
% 81.94/12.21 | (889) op1(e13, all_12_12) = all_26_3
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (352), (750) imply:
% 81.94/12.21 | (890) op1(e11, all_12_2) = all_26_8
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (351), (452) imply:
% 81.94/12.21 | (891) op1(e11, all_12_14) = all_26_11
% 81.94/12.21 |
% 81.94/12.21 | REDUCE: (346), (600) imply:
% 81.94/12.21 | (892) op1(e10, all_12_15) = all_26_15
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_10_1, all_28_123, e20, e20,
% 81.94/12.21 | simplifying with (50), (877) gives:
% 81.94/12.21 | (893) all_28_123 = all_10_1
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_24_15, all_28_120, all_10_1, e20,
% 81.94/12.21 | simplifying with (876), (888) gives:
% 81.94/12.21 | (894) all_28_120 = all_24_15
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_4_1, all_28_0, e21, e21, simplifying
% 81.94/12.21 | with (32), (852) gives:
% 81.94/12.21 | (895) all_28_0 = all_4_1
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_28_82, all_28_0, e21, e21,
% 81.94/12.21 | simplifying with (852), (873) gives:
% 81.94/12.21 | (896) all_28_0 = all_28_82
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_8_0, all_28_0, e21, e21, simplifying
% 81.94/12.21 | with (852), (878) gives:
% 81.94/12.21 | (897) all_28_0 = all_8_0
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_14_2, all_28_2, e23, e21, simplifying
% 81.94/12.21 | with (176), (853) gives:
% 81.94/12.21 | (898) all_28_2 = all_14_2
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_8_2, all_28_2, e23, e21, simplifying
% 81.94/12.21 | with (853), (879) gives:
% 81.94/12.21 | (899) all_28_2 = all_8_2
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with e23, all_28_46, e22, e22, simplifying
% 81.94/12.21 | with (17), (862) gives:
% 81.94/12.21 | (900) all_28_46 = e23
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_14_1, all_28_44, e23, e22,
% 81.94/12.21 | simplifying with (180), (861) gives:
% 81.94/12.21 | (901) all_28_44 = all_14_1
% 81.94/12.21 |
% 81.94/12.21 | GROUND_INST: instantiating (30) with all_24_5, all_28_44, e23, e22,
% 81.94/12.21 | simplifying with (861), (885) gives:
% 81.94/12.21 | (902) all_28_44 = all_24_5
% 81.94/12.21 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_12, all_24_1, e20, e23,
% 81.94/12.22 | simplifying with (181), (882) gives:
% 81.94/12.22 | (903) all_24_1 = all_14_12
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_8, all_28_8, e21, e23, simplifying
% 81.94/12.22 | with (182), (855) gives:
% 81.94/12.22 | (904) all_28_8 = all_14_8
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_24_0, all_28_8, e21, e23, simplifying
% 81.94/12.22 | with (855), (884) gives:
% 81.94/12.22 | (905) all_28_8 = all_24_0
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with e20, all_28_38, e22, e23, simplifying
% 81.94/12.22 | with (18), (858) gives:
% 81.94/12.22 | (906) all_28_38 = e20
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_6_2, all_28_38, e22, e23, simplifying
% 81.94/12.22 | with (858), (881) gives:
% 81.94/12.22 | (907) all_28_38 = all_6_2
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with e21, all_28_36, e23, e23, simplifying
% 81.94/12.22 | with (19), (857) gives:
% 81.94/12.22 | (908) all_28_36 = e21
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_28_36, all_28_10, e23, e23,
% 81.94/12.22 | simplifying with (856), (857) gives:
% 81.94/12.22 | (909) all_28_10 = all_28_36
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_6_0, all_28_10, e23, e23, simplifying
% 81.94/12.22 | with (856), (880) gives:
% 81.94/12.22 | (910) all_28_10 = all_6_0
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_10_2, all_28_111, e20, all_10_1,
% 81.94/12.22 | simplifying with (51), (875) gives:
% 81.94/12.22 | (911) all_28_111 = all_10_2
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_10_0, all_28_108, all_10_1, all_10_1,
% 81.94/12.22 | simplifying with (52), (874) gives:
% 81.94/12.22 | (912) all_28_108 = all_10_0
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (27) with all_6_2, all_28_39, e10, simplifying with
% 81.94/12.22 | (38), (836) gives:
% 81.94/12.22 | (913) all_28_39 = all_6_2
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (27) with all_6_0, all_28_37, e11, simplifying with
% 81.94/12.22 | (39), (835) gives:
% 81.94/12.22 | (914) all_28_37 = all_6_0
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (27) with e23, all_28_47, e13, simplifying with
% 81.94/12.22 | (840), (851) gives:
% 81.94/12.22 | (915) all_28_47 = e23
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (895), (896) imply:
% 81.94/12.22 | (916) all_28_82 = all_4_1
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (896), (897) imply:
% 81.94/12.22 | (917) all_28_82 = all_8_0
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (898), (899) imply:
% 81.94/12.22 | (918) all_14_2 = all_8_2
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (904), (905) imply:
% 81.94/12.22 | (919) all_24_0 = all_14_8
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (909), (910) imply:
% 81.94/12.22 | (920) all_28_36 = all_6_0
% 81.94/12.22 |
% 81.94/12.22 | SIMP: (920) implies:
% 81.94/12.22 | (921) all_28_36 = all_6_0
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (908), (921) imply:
% 81.94/12.22 | (922) all_6_0 = e21
% 81.94/12.22 |
% 81.94/12.22 | SIMP: (922) implies:
% 81.94/12.22 | (923) all_6_0 = e21
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (906), (907) imply:
% 81.94/12.22 | (924) all_6_2 = e20
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (901), (902) imply:
% 81.94/12.22 | (925) all_24_5 = all_14_1
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (916), (917) imply:
% 81.94/12.22 | (926) all_8_0 = all_4_1
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (706), (918) imply:
% 81.94/12.22 | (927) all_18_8 = all_8_2
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (646), (918) imply:
% 81.94/12.22 | (928) all_20_6 = all_8_2
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (526), (918) imply:
% 81.94/12.22 | (929) all_24_22 = all_8_2
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (559), (924) imply:
% 81.94/12.22 | (930) all_28_70 = e20
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (560), (923) imply:
% 81.94/12.22 | (931) all_28_67 = e21
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (913), (924) imply:
% 81.94/12.22 | (932) all_28_39 = e20
% 81.94/12.22 |
% 81.94/12.22 | COMBINE_EQS: (914), (923) imply:
% 81.94/12.22 | (933) all_28_37 = e21
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (162), (918) imply:
% 81.94/12.22 | (934) ~ (all_14_1 = all_8_2)
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (157), (918) imply:
% 81.94/12.22 | (935) ~ (all_14_3 = all_8_2)
% 81.94/12.22 |
% 81.94/12.22 | SIMP: (935) implies:
% 81.94/12.22 | (936) ~ (all_14_3 = all_8_2)
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (156), (918) imply:
% 81.94/12.22 | (937) ~ (all_14_6 = all_8_2)
% 81.94/12.22 |
% 81.94/12.22 | SIMP: (937) implies:
% 81.94/12.22 | (938) ~ (all_14_6 = all_8_2)
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (154), (918) imply:
% 81.94/12.22 | (939) ~ (all_14_14 = all_8_2)
% 81.94/12.22 |
% 81.94/12.22 | SIMP: (939) implies:
% 81.94/12.22 | (940) ~ (all_14_14 = all_8_2)
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (773), (918) imply:
% 81.94/12.22 | (941) ~ (all_8_2 = all_4_1)
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (764), (918) imply:
% 81.94/12.22 | (942) ~ (all_8_2 = e21)
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (39), (923) imply:
% 81.94/12.22 | (943) h3(e11) = e21
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (38), (924) imply:
% 81.94/12.22 | (944) h3(e10) = e20
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (867), (923) imply:
% 81.94/12.22 | (945) op2(e21, e21) = all_28_56
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (868), (923), (924) imply:
% 81.94/12.22 | (946) op2(e21, e20) = all_28_58
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (865), (923) imply:
% 81.94/12.22 | (947) op2(e21, e23) = all_28_52
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (866), (923) imply:
% 81.94/12.22 | (948) op2(e21, e22) = all_28_54
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (871), (923), (924) imply:
% 81.94/12.22 | (949) op2(e20, e21) = all_28_66
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (872), (924) imply:
% 81.94/12.22 | (950) op2(e20, e20) = all_28_69
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (869), (924) imply:
% 81.94/12.22 | (951) op2(e20, e23) = all_28_60
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (870), (924) imply:
% 81.94/12.22 | (952) op2(e20, e22) = all_28_63
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (859), (923) imply:
% 81.94/12.22 | (953) op2(e23, e21) = all_28_40
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (860), (924) imply:
% 81.94/12.22 | (954) op2(e23, e20) = all_28_42
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (863), (923) imply:
% 81.94/12.22 | (955) op2(e22, e21) = all_28_48
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (864), (924) imply:
% 81.94/12.22 | (956) op2(e22, e20) = all_28_50
% 81.94/12.22 |
% 81.94/12.22 | REDUCE: (886), (918) imply:
% 81.94/12.22 | (957) op2(e21, all_8_2) = all_24_8
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_10_1, all_28_69, e20, e20,
% 81.94/12.22 | simplifying with (50), (950) gives:
% 81.94/12.22 | (958) all_28_69 = all_10_1
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_11, all_28_66, e21, e20,
% 81.94/12.22 | simplifying with (170), (949) gives:
% 81.94/12.22 | (959) all_28_66 = all_14_11
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_7, all_28_63, e22, e20,
% 81.94/12.22 | simplifying with (171), (952) gives:
% 81.94/12.22 | (960) all_28_63 = all_14_7
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_3, all_28_60, e23, e20,
% 81.94/12.22 | simplifying with (172), (951) gives:
% 81.94/12.22 | (961) all_28_60 = all_14_3
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_14, all_28_58, e20, e21,
% 81.94/12.22 | simplifying with (173), (946) gives:
% 81.94/12.22 | (962) all_28_58 = all_14_14
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_4_1, all_28_56, e21, e21, simplifying
% 81.94/12.22 | with (32), (945) gives:
% 81.94/12.22 | (963) all_28_56 = all_4_1
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_6, all_28_54, e22, e21,
% 81.94/12.22 | simplifying with (175), (948) gives:
% 81.94/12.22 | (964) all_28_54 = all_14_6
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_8_2, all_28_52, e23, e21, simplifying
% 81.94/12.22 | with (879), (947) gives:
% 81.94/12.22 | (965) all_28_52 = all_8_2
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_28_6, all_24_8, all_8_2, e21,
% 81.94/12.22 | simplifying with (854), (957) gives:
% 81.94/12.22 | (966) all_28_6 = all_24_8
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_13, all_28_50, e20, e22,
% 81.94/12.22 | simplifying with (177), (956) gives:
% 81.94/12.22 | (967) all_28_50 = all_14_13
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_9, all_28_48, e21, e22,
% 81.94/12.22 | simplifying with (178), (955) gives:
% 81.94/12.22 | (968) all_28_48 = all_14_9
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_12, all_28_42, e20, e23,
% 81.94/12.22 | simplifying with (181), (954) gives:
% 81.94/12.22 | (969) all_28_42 = all_14_12
% 81.94/12.22 |
% 81.94/12.22 | GROUND_INST: instantiating (30) with all_14_8, all_28_40, e21, e23,
% 81.94/12.22 | simplifying with (182), (953) gives:
% 81.94/12.22 | (970) all_28_40 = all_14_8
% 82.28/12.22 |
% 82.28/12.22 | BETA: splitting (260) gives:
% 82.28/12.22 |
% 82.28/12.22 | Case 1:
% 82.28/12.22 | |
% 82.28/12.22 | | (971) all_20_15 = e20
% 82.28/12.22 | |
% 82.28/12.22 | | COMBINE_EQS: (502), (971) imply:
% 82.28/12.22 | | (972) all_10_1 = e20
% 82.28/12.22 | |
% 82.28/12.22 | | COMBINE_EQS: (742), (972) imply:
% 82.28/12.22 | | (973) all_24_31 = e20
% 82.28/12.22 | |
% 82.28/12.22 | | REDUCE: (774), (972) imply:
% 82.28/12.22 | | (974) ~ (all_14_3 = e20)
% 82.28/12.22 | |
% 82.28/12.22 | | REDUCE: (801), (972) imply:
% 82.28/12.22 | | (975) ~ (all_14_11 = e20)
% 82.28/12.22 | |
% 82.28/12.22 | | REDUCE: (803), (972) imply:
% 82.28/12.22 | | (976) ~ (all_14_13 = e20)
% 82.28/12.22 | |
% 82.28/12.22 | | REDUCE: (804), (972) imply:
% 82.28/12.22 | | (977) ~ (all_14_14 = e20)
% 82.28/12.22 | |
% 82.28/12.22 | | REDUCE: (52), (972) imply:
% 82.28/12.22 | | (978) op2(e20, e20) = all_10_0
% 82.28/12.22 | |
% 82.28/12.22 | | REDUCE: (51), (972) imply:
% 82.28/12.22 | | (979) op2(e20, e20) = all_10_2
% 82.28/12.22 | |
% 82.28/12.22 | | REDUCE: (888), (972) imply:
% 82.28/12.22 | | (980) op2(e20, e20) = all_24_15
% 82.28/12.22 | |
% 82.28/12.22 | | REDUCE: (50), (972) imply:
% 82.28/12.22 | | (981) op2(e20, e20) = e20
% 82.28/12.22 | |
% 82.28/12.22 | | GROUND_INST: instantiating (30) with e20, all_10_0, e20, e20, simplifying
% 82.28/12.22 | | with (978), (981) gives:
% 82.28/12.22 | | (982) all_10_0 = e20
% 82.28/12.22 | |
% 82.28/12.22 | | GROUND_INST: instantiating (30) with all_10_0, all_24_15, e20, e20,
% 82.28/12.22 | | simplifying with (978), (980) gives:
% 82.28/12.22 | | (983) all_24_15 = all_10_0
% 82.28/12.22 | |
% 82.28/12.22 | | GROUND_INST: instantiating (30) with all_10_2, all_24_15, e20, e20,
% 82.28/12.22 | | simplifying with (979), (980) gives:
% 82.28/12.22 | | (984) all_24_15 = all_10_2
% 82.28/12.22 | |
% 82.28/12.22 | | COMBINE_EQS: (983), (984) imply:
% 82.28/12.22 | | (985) all_10_0 = all_10_2
% 82.28/12.22 | |
% 82.28/12.22 | | SIMP: (985) implies:
% 82.28/12.22 | | (986) all_10_0 = all_10_2
% 82.28/12.22 | |
% 82.28/12.22 | | COMBINE_EQS: (982), (986) imply:
% 82.28/12.22 | | (987) all_10_2 = e20
% 82.28/12.22 | |
% 82.28/12.22 | | COMBINE_EQS: (984), (987) imply:
% 82.28/12.22 | | (988) all_24_15 = e20
% 82.28/12.22 | |
% 82.28/12.22 | | BETA: splitting (241) gives:
% 82.28/12.22 | |
% 82.28/12.22 | | Case 1:
% 82.28/12.22 | | |
% 82.28/12.22 | | | (989) all_18_3 = e23
% 82.28/12.22 | | |
% 82.28/12.22 | | | COMBINE_EQS: (711), (989) imply:
% 82.28/12.22 | | | (990) all_14_12 = e23
% 82.28/12.22 | | |
% 82.28/12.22 | | | COMBINE_EQS: (637), (990) imply:
% 82.28/12.22 | | | (991) all_20_9 = e23
% 82.28/12.22 | | |
% 82.28/12.22 | | | REDUCE: (133), (990) imply:
% 82.28/12.22 | | | (992) ~ (all_14_8 = e23)
% 82.28/12.22 | | |
% 82.28/12.22 | | | REDUCE: (125), (990) imply:
% 82.28/12.22 | | | (993) ~ (all_14_14 = e23)
% 82.28/12.22 | | |
% 82.28/12.22 | | | SIMP: (993) implies:
% 82.28/12.22 | | | (994) ~ (all_14_14 = e23)
% 82.28/12.22 | | |
% 82.28/12.22 | | | BETA: splitting (242) gives:
% 82.28/12.22 | | |
% 82.28/12.22 | | | Case 1:
% 82.28/12.22 | | | |
% 82.28/12.22 | | | | (995) all_18_2 = e23
% 82.28/12.22 | | | |
% 82.28/12.22 | | | | COMBINE_EQS: (702), (995) imply:
% 82.28/12.22 | | | | (996) all_14_8 = e23
% 82.28/12.22 | | | |
% 82.28/12.22 | | | | SIMP: (996) implies:
% 82.28/12.22 | | | | (997) all_14_8 = e23
% 82.28/12.22 | | | |
% 82.28/12.22 | | | | REDUCE: (992), (997) imply:
% 82.28/12.22 | | | | (998) $false
% 82.28/12.23 | | | |
% 82.28/12.23 | | | | CLOSE: (998) is inconsistent.
% 82.28/12.23 | | | |
% 82.28/12.23 | | | Case 2:
% 82.28/12.23 | | | |
% 82.28/12.23 | | | | (999) ~ (all_18_2 = e23)
% 82.28/12.23 | | | | (1000) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 82.28/12.23 | | | |
% 82.28/12.23 | | | | BETA: splitting (1000) gives:
% 82.28/12.23 | | | |
% 82.28/12.23 | | | | Case 1:
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | (1001) all_18_2 = e22
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | COMBINE_EQS: (702), (1001) imply:
% 82.28/12.23 | | | | | (1002) all_14_8 = e22
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | SIMP: (1002) implies:
% 82.28/12.23 | | | | | (1003) all_14_8 = e22
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | COMBINE_EQS: (636), (1003) imply:
% 82.28/12.23 | | | | | (1004) all_20_4 = e22
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | COMBINE_EQS: (546), (1003) imply:
% 82.28/12.23 | | | | | (1005) all_24_17 = e22
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | REDUCE: (134), (1003) imply:
% 82.28/12.23 | | | | | (1006) ~ (all_14_11 = e22)
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | SIMP: (1006) implies:
% 82.28/12.23 | | | | | (1007) ~ (all_14_11 = e22)
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | REDUCE: (795), (1003) imply:
% 82.28/12.23 | | | | | (1008) ~ (all_4_1 = e22)
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | SIMP: (1008) implies:
% 82.28/12.23 | | | | | (1009) ~ (all_4_1 = e22)
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | REDUCE: (769), (1003) imply:
% 82.28/12.23 | | | | | (1010) ~ (e22 = e21)
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | BETA: splitting (339) gives:
% 82.28/12.23 | | | | |
% 82.28/12.23 | | | | | Case 1:
% 82.28/12.23 | | | | | |
% 82.28/12.23 | | | | | | (1011) ~ (all_24_23 = e21)
% 82.28/12.23 | | | | | |
% 82.28/12.23 | | | | | | REDUCE: (523), (1011) imply:
% 82.28/12.23 | | | | | | (1012) ~ (all_14_6 = e21)
% 82.28/12.23 | | | | | |
% 82.28/12.23 | | | | | | BETA: splitting (236) gives:
% 82.28/12.23 | | | | | |
% 82.28/12.23 | | | | | | Case 1:
% 82.28/12.23 | | | | | | |
% 82.28/12.23 | | | | | | | (1013) all_18_9 = e23
% 82.28/12.23 | | | | | | |
% 82.28/12.23 | | | | | | | COMBINE_EQS: (707), (1013) imply:
% 82.28/12.23 | | | | | | | (1014) all_14_6 = e23
% 82.28/12.23 | | | | | | |
% 82.28/12.23 | | | | | | | REDUCE: (786), (1014) imply:
% 82.28/12.23 | | | | | | | (1015) $false
% 82.28/12.23 | | | | | | |
% 82.28/12.23 | | | | | | | CLOSE: (1015) is inconsistent.
% 82.28/12.23 | | | | | | |
% 82.28/12.23 | | | | | | Case 2:
% 82.28/12.23 | | | | | | |
% 82.28/12.23 | | | | | | | (1016) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 82.28/12.23 | | | | | | |
% 82.28/12.23 | | | | | | | BETA: splitting (1016) gives:
% 82.28/12.23 | | | | | | |
% 82.28/12.23 | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | (1017) all_18_9 = e22
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | COMBINE_EQS: (707), (1017) imply:
% 82.28/12.23 | | | | | | | | (1018) all_14_6 = e22
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | COMBINE_EQS: (523), (1018) imply:
% 82.28/12.23 | | | | | | | | (1019) all_24_23 = e22
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | REDUCE: (141), (1018) imply:
% 82.28/12.23 | | | | | | | | (1020) ~ (all_14_7 = e22)
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | SIMP: (1020) implies:
% 82.28/12.23 | | | | | | | | (1021) ~ (all_14_7 = e22)
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | REDUCE: (139), (1018) imply:
% 82.28/12.23 | | | | | | | | (1022) ~ (all_14_14 = e22)
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | SIMP: (1022) implies:
% 82.28/12.23 | | | | | | | | (1023) ~ (all_14_14 = e22)
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | BETA: splitting (234) gives:
% 82.28/12.23 | | | | | | | |
% 82.28/12.23 | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | |
% 82.28/12.23 | | | | | | | | | (1024) all_18_11 = e23
% 82.28/12.23 | | | | | | | | |
% 82.28/12.23 | | | | | | | | | REF_CLOSE: (715), (994), (1024) are inconsistent by sub-proof
% 82.28/12.23 | | | | | | | | | #92.
% 82.28/12.23 | | | | | | | | |
% 82.28/12.23 | | | | | | | | Case 2:
% 82.28/12.23 | | | | | | | | |
% 82.28/12.23 | | | | | | | | | (1025) all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 82.28/12.23 | | | | | | | | |
% 82.28/12.23 | | | | | | | | | BETA: splitting (262) gives:
% 82.28/12.23 | | | | | | | | |
% 82.28/12.23 | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | (1026) all_20_12 = e22
% 82.28/12.23 | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | COMBINE_EQS: (511), (1026) imply:
% 82.28/12.23 | | | | | | | | | | (1027) all_14_3 = e22
% 82.28/12.23 | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | SIMP: (1027) implies:
% 82.28/12.23 | | | | | | | | | | (1028) all_14_3 = e22
% 82.28/12.23 | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | COMBINE_EQS: (746), (1028) imply:
% 82.28/12.23 | | | | | | | | | | (1029) all_24_25 = e22
% 82.28/12.23 | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | BETA: splitting (232) gives:
% 82.28/12.23 | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | (1030) all_18_13 = e23
% 82.28/12.23 | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | COMBINE_EQS: (717), (1030) imply:
% 82.28/12.23 | | | | | | | | | | | (1031) all_14_7 = e23
% 82.28/12.23 | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | REDUCE: (788), (1031) imply:
% 82.28/12.23 | | | | | | | | | | | (1032) $false
% 82.28/12.23 | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | CLOSE: (1032) is inconsistent.
% 82.28/12.23 | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | Case 2:
% 82.28/12.23 | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | (1033) all_18_13 = e22 | all_18_13 = e21 | all_18_13 =
% 82.28/12.23 | | | | | | | | | | | e20
% 82.28/12.23 | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | BETA: splitting (1033) gives:
% 82.28/12.23 | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | (1034) all_18_13 = e22
% 82.28/12.23 | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | COMBINE_EQS: (717), (1034) imply:
% 82.28/12.23 | | | | | | | | | | | | (1035) all_14_7 = e22
% 82.28/12.23 | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | REDUCE: (1021), (1035) imply:
% 82.28/12.23 | | | | | | | | | | | | (1036) $false
% 82.28/12.23 | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | CLOSE: (1036) is inconsistent.
% 82.28/12.23 | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | Case 2:
% 82.28/12.23 | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | (1037) ~ (all_18_13 = e22)
% 82.28/12.23 | | | | | | | | | | | | (1038) all_18_13 = e21 | all_18_13 = e20
% 82.28/12.23 | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | BETA: splitting (1025) gives:
% 82.28/12.23 | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | (1039) all_18_11 = e22
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | COMBINE_EQS: (715), (1039) imply:
% 82.28/12.23 | | | | | | | | | | | | | (1040) all_14_14 = e22
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | SIMP: (1040) implies:
% 82.28/12.23 | | | | | | | | | | | | | (1041) all_14_14 = e22
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | REDUCE: (1023), (1041) imply:
% 82.28/12.23 | | | | | | | | | | | | | (1042) $false
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | CLOSE: (1042) is inconsistent.
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | Case 2:
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | (1043) all_18_11 = e21 | all_18_11 = e20
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | BETA: splitting (1043) gives:
% 82.28/12.23 | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | (1044) all_18_11 = e21
% 82.28/12.23 | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | COMBINE_EQS: (715), (1044) imply:
% 82.28/12.23 | | | | | | | | | | | | | | (1045) all_14_14 = e21
% 82.28/12.23 | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | SIMP: (1045) implies:
% 82.28/12.23 | | | | | | | | | | | | | | (1046) all_14_14 = e21
% 82.28/12.23 | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | REDUCE: (123), (1046) imply:
% 82.28/12.23 | | | | | | | | | | | | | | (1047) ~ (all_14_13 = e21)
% 82.28/12.23 | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | BETA: splitting (1038) gives:
% 82.28/12.23 | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | (1048) all_18_13 = e21
% 82.28/12.23 | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | COMBINE_EQS: (717), (1048) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | (1049) all_14_7 = e21
% 82.28/12.23 | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1049) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | (1050) all_24_26 = e21
% 82.28/12.23 | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | REDUCE: (138), (1049) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | (1051) ~ (all_14_11 = e21)
% 82.28/12.23 | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | SIMP: (1051) implies:
% 82.28/12.23 | | | | | | | | | | | | | | | (1052) ~ (all_14_11 = e21)
% 82.28/12.23 | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 82.28/12.23 | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | (1053) all_18_7 = e23
% 82.28/12.23 | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | REF_CLOSE: (713), (792), (1053) are inconsistent by sub-proof
% 82.28/12.23 | | | | | | | | | | | | | | | | #91.
% 82.28/12.23 | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | Case 2:
% 82.28/12.23 | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | (1054) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 82.28/12.23 | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 82.28/12.23 | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | (1055) all_18_4 = e23
% 82.28/12.23 | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1055) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | (1056) all_14_1 = e23
% 82.28/12.23 | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | REDUCE: (772), (1056) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | (1057) $false
% 82.28/12.23 | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | CLOSE: (1057) is inconsistent.
% 82.28/12.23 | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.23 | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | (1058) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 82.28/12.23 | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 82.28/12.23 | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | (1059) all_18_7 = e22
% 82.28/12.23 | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (1059) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | (1060) all_14_13 = e22
% 82.28/12.23 | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | SIMP: (1060) implies:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | (1061) all_14_13 = e22
% 82.28/12.23 | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (1061) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | (1062) all_20_10 = e22
% 82.28/12.23 | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | REDUCE: (158), (1061) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | (1063) ~ (all_14_1 = e22)
% 82.28/12.23 | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | REDUCE: (130), (1061) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | (1064) ~ (all_14_9 = e22)
% 82.28/12.23 | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 82.28/12.23 | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | (1065) all_18_14 = e23
% 82.28/12.23 | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (1065) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | (1066) all_14_11 = e23
% 82.28/12.23 | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1066) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | (1067) all_24_27 = e23
% 82.28/12.23 | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1066) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | (1068) ~ (all_4_1 = e23)
% 82.28/12.23 | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | SIMP: (1068) implies:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | (1069) ~ (all_4_1 = e23)
% 82.28/12.23 | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (1007), (1066) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | (1070) ~ (e23 = e22)
% 82.28/12.23 | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | (1071) all_20_2 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (1071) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | (1072) all_14_1 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | SIMP: (1072) implies:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | (1073) all_14_1 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (1073) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | (1074) $false
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | CLOSE: (1074) is inconsistent.
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | (1075) all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1075) gives:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | (1076) all_20_3 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (740), (1076) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | (1077) e23 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (1077) implies:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | (1078) e23 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1078) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | (1079) $false
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1079) is inconsistent.
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | (1080) all_20_5 = e21 | all_20_10 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1080) gives:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | (1081) all_20_5 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (1081) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | (1082) all_14_9 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1082) implies:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | (1083) all_14_9 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (1083) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | (1084) all_24_20 = e21
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (1083) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | (1085) ~ (all_4_1 = e21)
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1085) implies:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | (1086) ~ (all_4_1 = e21)
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (1083) imply:
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | (1087) ~ (e23 = e21)
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1064), (1083) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | (1088) ~ (e22 = e21)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | (1089) all_20_2 = e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (1089) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | (1090) all_14_1 = e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1090) implies:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | (1091) all_14_1 = e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1091) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | (1092) all_24_19 = e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | (1093) all_18_10 = e23
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (1093) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | (1094) all_4_1 = e23
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1069), (1094) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | (1095) $false
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1095) is inconsistent.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | (1096) ~ (all_18_10 = e23)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1097) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_18_10 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (1098) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1099) all_4_1 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1009), (1099) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1100) $false
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1100) is inconsistent.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1101) ~ (all_18_10 = e22)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_18_10 = e21 | all_18_10 = e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1102) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) all_18_10 = e21
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (1103) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_4_1 = e21
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1086), (1104) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) $false
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1105) is inconsistent.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_18_10 = e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (1106) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) all_4_1 = e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (1107) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) all_24_30 = e20
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1009), (1107) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) ~ (e22 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1109) implies:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) ~ (e22 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1086), (1107) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) ~ (e21 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_17 = e21 & all_24_22 = e21 &
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1112) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1113) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (1092), (1114) are inconsistent by
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) (all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_17 = e23
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_22 = e23 & ~ (all_24_0 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20))
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1115) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1092), (1110), (1116) are inconsistent by
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1117) implies:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_24_17 = e23
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (1118) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) e23 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (636), (741), (776), (991),
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992), (1070), (1119) are inconsistent by
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_6 = e21) & ~ (all_24_7 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1120) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1005), (1010), (1121) are inconsistent by
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1122) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1123) implies:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) all_24_25 = e23
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1029), (1124) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) e23 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (991), (1125) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) all_20_9 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (636), (741), (776), (992),
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070), (1126) are inconsistent by sub-proof #88.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_24_20 = e22 & all_24_23 = e22 & ~ (all_24_4 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1127) implies:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_24_20 = e22
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1084), (1128) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) e22 = e21
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1129) implies:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) e22 = e21
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1010), (1130) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) $false
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1131) is inconsistent.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_28 = e23 & ~ (all_24_0 = e23)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1132) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1133) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1134) implies:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) all_24_23 = e21
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1019), (1135) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) e22 = e21
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1136) implies:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) e22 = e21
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1010), (1137) imply:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) $false
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1138) is inconsistent.
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_24 = e21
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20))
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1139) gives:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 =
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1140) implies:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_24_26 = e22
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1050), (1141) imply:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) e22 = e21
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1010), (1142) imply:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) $false
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1143) is inconsistent.
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 =
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1067), (1144) are inconsistent by sub-proof
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85.
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1145) gives:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20))
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1146) gives:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (744), (1147) are inconsistent by sub-proof
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84.
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) all_24_29 = e22 & ~ (all_24_4 = e23) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1148) implies:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) all_24_29 = e22
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (1149) imply:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) e23 = e22
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (636), (741), (776), (991),
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992), (1070), (1150) are inconsistent by
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (767), (988), (1108), (1151) are inconsistent by
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | (1152) ~ (all_20_2 = e20)
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (1152) imply:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | (1153) ~ (all_14_1 = e20)
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (762), (1058), (1063), (1153) are
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | (1154) all_20_10 = e21
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1010), (1062), (1154) are inconsistent by
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | (1155) all_18_14 = e22 | all_18_14 = e21 | all_18_14 =
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | e20
% 82.28/12.25 | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (138), (717), (719), (780), (975), (1007), (1021),
% 82.28/12.25 | | | | | | | | | | | | | | | | | | | (1033), (1155) are inconsistent by sub-proof #74.
% 82.28/12.25 | | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | (1156) all_18_7 = e21 | all_18_7 = e20
% 82.28/12.25 | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (976), (1047), (1156) are inconsistent by
% 82.28/12.25 | | | | | | | | | | | | | | | | | | sub-proof #73.
% 82.28/12.25 | | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | (1157) all_18_13 = e20
% 82.28/12.25 | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | COMBINE_EQS: (717), (1157) imply:
% 82.28/12.25 | | | | | | | | | | | | | | | (1158) all_14_7 = e20
% 82.28/12.25 | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | REDUCE: (780), (1158) imply:
% 82.28/12.25 | | | | | | | | | | | | | | | (1159) $false
% 82.28/12.25 | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | | CLOSE: (1159) is inconsistent.
% 82.28/12.25 | | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | (1160) all_18_11 = e20
% 82.28/12.25 | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | | REF_CLOSE: (715), (977), (1160) are inconsistent by sub-proof
% 82.28/12.25 | | | | | | | | | | | | | | #72.
% 82.28/12.25 | | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | (1161) ~ (all_20_12 = e22)
% 82.28/12.25 | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | REDUCE: (511), (1161) imply:
% 82.28/12.25 | | | | | | | | | | (1162) ~ (all_14_3 = e22)
% 82.28/12.25 | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | BETA: splitting (233) gives:
% 82.28/12.25 | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | Case 1:
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | (1163) all_18_12 = e23
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | COMBINE_EQS: (716), (1163) imply:
% 82.28/12.25 | | | | | | | | | | | (1164) all_14_3 = e23
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | SIMP: (1164) implies:
% 82.28/12.25 | | | | | | | | | | | (1165) all_14_3 = e23
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | REDUCE: (152), (1165) imply:
% 82.28/12.25 | | | | | | | | | | | (1166) ~ (all_14_11 = e23)
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | SIMP: (1166) implies:
% 82.28/12.25 | | | | | | | | | | | (1167) ~ (all_14_11 = e23)
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | BETA: splitting (231) gives:
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | Case 1:
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | (1168) all_18_14 = e23
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | COMBINE_EQS: (719), (1168) imply:
% 82.28/12.25 | | | | | | | | | | | | (1169) all_14_11 = e23
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | REDUCE: (1167), (1169) imply:
% 82.28/12.25 | | | | | | | | | | | | (1170) $false
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | CLOSE: (1170) is inconsistent.
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | (1171) all_18_14 = e22 | all_18_14 = e21 | all_18_14 =
% 82.28/12.25 | | | | | | | | | | | | e20
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | BETA: splitting (232) gives:
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | Case 1:
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | (1172) all_18_13 = e23
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | COMBINE_EQS: (717), (1172) imply:
% 82.28/12.25 | | | | | | | | | | | | | (1173) all_14_7 = e23
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | REDUCE: (788), (1173) imply:
% 82.28/12.25 | | | | | | | | | | | | | (1174) $false
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | CLOSE: (1174) is inconsistent.
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | (1175) all_18_13 = e22 | all_18_13 = e21 | all_18_13 =
% 82.28/12.25 | | | | | | | | | | | | | e20
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | | REF_CLOSE: (138), (717), (719), (780), (975), (1007), (1021),
% 82.28/12.25 | | | | | | | | | | | | | (1171), (1175) are inconsistent by sub-proof #74.
% 82.28/12.25 | | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | Case 2:
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | (1176) all_18_12 = e22 | all_18_12 = e21 | all_18_12 =
% 82.28/12.25 | | | | | | | | | | | e20
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | | REF_CLOSE: (716), (766), (974), (1162), (1176) are
% 82.28/12.25 | | | | | | | | | | | inconsistent by sub-proof #70.
% 82.28/12.25 | | | | | | | | | | |
% 82.28/12.25 | | | | | | | | | | End of split
% 82.28/12.25 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | End of split
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | End of split
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | (1177) all_18_9 = e21 | all_18_9 = e20
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | BETA: splitting (1177) gives:
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | (1178) all_18_9 = e21
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | COMBINE_EQS: (707), (1178) imply:
% 82.28/12.26 | | | | | | | | | (1179) all_14_6 = e21
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | REDUCE: (1012), (1179) imply:
% 82.28/12.26 | | | | | | | | | (1180) $false
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | CLOSE: (1180) is inconsistent.
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | (1181) all_18_9 = e20
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | COMBINE_EQS: (707), (1181) imply:
% 82.28/12.26 | | | | | | | | | (1182) all_14_6 = e20
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | REDUCE: (778), (1182) imply:
% 82.28/12.26 | | | | | | | | | (1183) $false
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | CLOSE: (1183) is inconsistent.
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | End of split
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | End of split
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | End of split
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | Case 2:
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | (1184) all_24_23 = e21
% 82.28/12.26 | | | | | | (1185) all_24_28 = e22 | all_24_29 = e22 | all_24_30 = e22 |
% 82.28/12.26 | | | | | | all_24_31 = e22
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | COMBINE_EQS: (523), (1184) imply:
% 82.28/12.26 | | | | | | (1186) all_14_6 = e21
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | SIMP: (1186) implies:
% 82.28/12.26 | | | | | | (1187) all_14_6 = e21
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | REDUCE: (141), (1187) imply:
% 82.28/12.26 | | | | | | (1188) ~ (all_14_7 = e21)
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | SIMP: (1188) implies:
% 82.28/12.26 | | | | | | (1189) ~ (all_14_7 = e21)
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | REDUCE: (793), (1187) imply:
% 82.28/12.26 | | | | | | (1190) ~ (all_4_1 = e21)
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | SIMP: (1190) implies:
% 82.28/12.26 | | | | | | (1191) ~ (all_4_1 = e21)
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | BETA: splitting (1185) gives:
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | | Case 1:
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | | (1192) all_24_28 = e22
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | | COMBINE_EQS: (744), (1192) imply:
% 82.28/12.26 | | | | | | | (1193) e22 = e21
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | | REDUCE: (1010), (1193) imply:
% 82.28/12.26 | | | | | | | (1194) $false
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | | CLOSE: (1194) is inconsistent.
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | Case 2:
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | | (1195) all_24_29 = e22 | all_24_30 = e22 | all_24_31 = e22
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | | BETA: splitting (232) gives:
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | (1196) all_18_13 = e23
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | COMBINE_EQS: (717), (1196) imply:
% 82.28/12.26 | | | | | | | | (1197) all_14_7 = e23
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | REDUCE: (788), (1197) imply:
% 82.28/12.26 | | | | | | | | (1198) $false
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | CLOSE: (1198) is inconsistent.
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | (1199) all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | BETA: splitting (1199) gives:
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | (1200) all_18_13 = e22
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | COMBINE_EQS: (717), (1200) imply:
% 82.28/12.26 | | | | | | | | | (1201) all_14_7 = e22
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | REDUCE: (153), (1201) imply:
% 82.28/12.26 | | | | | | | | | (1202) ~ (all_14_3 = e22)
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | REDUCE: (780), (1201) imply:
% 82.28/12.26 | | | | | | | | | (1203) ~ (e22 = e20)
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | BETA: splitting (233) gives:
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | (1204) all_18_12 = e23
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | COMBINE_EQS: (716), (1204) imply:
% 82.28/12.26 | | | | | | | | | | (1205) all_14_3 = e23
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | SIMP: (1205) implies:
% 82.28/12.26 | | | | | | | | | | (1206) all_14_3 = e23
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | REDUCE: (152), (1206) imply:
% 82.28/12.26 | | | | | | | | | | (1207) ~ (all_14_11 = e23)
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | SIMP: (1207) implies:
% 82.28/12.26 | | | | | | | | | | (1208) ~ (all_14_11 = e23)
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | REDUCE: (1202), (1206) imply:
% 82.28/12.26 | | | | | | | | | | (1209) ~ (e23 = e22)
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | BETA: splitting (272) gives:
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | (1210) all_20_4 = e23
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | COMBINE_EQS: (1004), (1210) imply:
% 82.28/12.26 | | | | | | | | | | | (1211) e23 = e22
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | COMBINE_EQS: (991), (1211) imply:
% 82.28/12.26 | | | | | | | | | | | (1212) all_20_9 = e22
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (636), (741), (776), (992),
% 82.28/12.26 | | | | | | | | | | | (1209), (1212) are inconsistent by sub-proof #88.
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | (1213) all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | BETA: splitting (1213) gives:
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | (1214) all_20_5 = e23
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | COMBINE_EQS: (530), (1214) imply:
% 82.28/12.26 | | | | | | | | | | | | (1215) all_14_9 = e23
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | SIMP: (1215) implies:
% 82.28/12.26 | | | | | | | | | | | | (1216) all_14_9 = e23
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | REDUCE: (790), (1216) imply:
% 82.28/12.26 | | | | | | | | | | | | (1217) $false
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | CLOSE: (1217) is inconsistent.
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | (1218) all_20_8 = e23 | all_20_14 = e23
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | BETA: splitting (1218) gives:
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | (1219) all_20_8 = e23
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | COMBINE_EQS: (663), (1219) imply:
% 82.28/12.26 | | | | | | | | | | | | | (1220) all_4_1 = e23
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | SIMP: (1220) implies:
% 82.28/12.26 | | | | | | | | | | | | | (1221) all_4_1 = e23
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | COMBINE_EQS: (520), (1221) imply:
% 82.28/12.26 | | | | | | | | | | | | | (1222) all_24_30 = e23
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | BETA: splitting (1195) gives:
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | (1223) all_24_29 = e22
% 82.28/12.26 | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | COMBINE_EQS: (743), (1223) imply:
% 82.28/12.26 | | | | | | | | | | | | | | (1224) e23 = e22
% 82.28/12.26 | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (636), (741), (776), (991),
% 82.28/12.26 | | | | | | | | | | | | | | (992), (1209), (1224) are inconsistent by
% 82.28/12.26 | | | | | | | | | | | | | | sub-proof #87.
% 82.28/12.26 | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | (1225) ~ (all_24_29 = e22)
% 82.28/12.26 | | | | | | | | | | | | | | (1226) all_24_30 = e22 | all_24_31 = e22
% 82.28/12.26 | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | BETA: splitting (1226) gives:
% 82.28/12.26 | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | Case 1:
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | | (1227) all_24_30 = e22
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | | COMBINE_EQS: (1222), (1227) imply:
% 82.28/12.26 | | | | | | | | | | | | | | | (1228) e23 = e22
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (636), (741), (776), (991),
% 82.28/12.26 | | | | | | | | | | | | | | | (992), (1209), (1228) are inconsistent by
% 82.28/12.26 | | | | | | | | | | | | | | | sub-proof #87.
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | | (1229) all_24_31 = e22
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | | COMBINE_EQS: (973), (1229) imply:
% 82.28/12.26 | | | | | | | | | | | | | | | (1230) e22 = e20
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | | REDUCE: (1203), (1230) imply:
% 82.28/12.26 | | | | | | | | | | | | | | | (1231) $false
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | | CLOSE: (1231) is inconsistent.
% 82.28/12.26 | | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | | End of split
% 82.28/12.26 | | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | End of split
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | (1232) all_20_14 = e23
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | | REF_CLOSE: (656), (1208), (1232) are inconsistent by
% 82.28/12.26 | | | | | | | | | | | | | sub-proof #69.
% 82.28/12.26 | | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | | End of split
% 82.28/12.26 | | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | | End of split
% 82.28/12.26 | | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | End of split
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | (1233) all_18_12 = e22 | all_18_12 = e21 | all_18_12 =
% 82.28/12.26 | | | | | | | | | | e20
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | | REF_CLOSE: (716), (766), (974), (1202), (1233) are
% 82.28/12.26 | | | | | | | | | | inconsistent by sub-proof #70.
% 82.28/12.26 | | | | | | | | | |
% 82.28/12.26 | | | | | | | | | End of split
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | Case 2:
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | (1234) all_18_13 = e21 | all_18_13 = e20
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | | REF_CLOSE: (717), (780), (1189), (1234) are inconsistent by
% 82.28/12.26 | | | | | | | | | sub-proof #76.
% 82.28/12.26 | | | | | | | | |
% 82.28/12.26 | | | | | | | | End of split
% 82.28/12.26 | | | | | | | |
% 82.28/12.26 | | | | | | | End of split
% 82.28/12.26 | | | | | | |
% 82.28/12.26 | | | | | | End of split
% 82.28/12.26 | | | | | |
% 82.28/12.26 | | | | | End of split
% 82.28/12.26 | | | | |
% 82.28/12.26 | | | | Case 2:
% 82.28/12.26 | | | | |
% 82.28/12.26 | | | | | (1235) all_18_2 = e21 | all_18_2 = e20
% 82.28/12.26 | | | | |
% 82.28/12.26 | | | | | REF_CLOSE: (702), (769), (782), (1235) are inconsistent by sub-proof
% 82.28/12.26 | | | | | #68.
% 82.28/12.26 | | | | |
% 82.28/12.26 | | | | End of split
% 82.28/12.26 | | | |
% 82.28/12.26 | | | End of split
% 82.28/12.26 | | |
% 82.28/12.27 | | Case 2:
% 82.28/12.27 | | |
% 82.28/12.27 | | | (1236) ~ (all_18_3 = e23)
% 82.28/12.27 | | | (1237) all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 82.28/12.27 | | |
% 82.28/12.27 | | | REDUCE: (711), (1236) imply:
% 82.28/12.27 | | | (1238) ~ (all_14_12 = e23)
% 82.28/12.27 | | |
% 82.28/12.27 | | | BETA: splitting (1237) gives:
% 82.28/12.27 | | |
% 82.28/12.27 | | | Case 1:
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | (1239) all_18_3 = e22
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | COMBINE_EQS: (711), (1239) imply:
% 82.28/12.27 | | | | (1240) all_14_12 = e22
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | COMBINE_EQS: (637), (1240) imply:
% 82.28/12.27 | | | | (1241) all_20_9 = e22
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | COMBINE_EQS: (543), (1240) imply:
% 82.28/12.27 | | | | (1242) all_24_18 = e22
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | REDUCE: (133), (1240) imply:
% 82.28/12.27 | | | | (1243) ~ (all_14_8 = e22)
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | REDUCE: (1238), (1240) imply:
% 82.28/12.27 | | | | (1244) ~ (e23 = e22)
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | SIMP: (1244) implies:
% 82.28/12.27 | | | | (1245) ~ (e23 = e22)
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | REDUCE: (771), (1240) imply:
% 82.28/12.27 | | | | (1246) ~ (e22 = e21)
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | BETA: splitting (242) gives:
% 82.28/12.27 | | | |
% 82.28/12.27 | | | | Case 1:
% 82.28/12.27 | | | | |
% 82.28/12.27 | | | | | (1247) all_18_2 = e23
% 82.28/12.27 | | | | |
% 82.28/12.27 | | | | | COMBINE_EQS: (702), (1247) imply:
% 82.28/12.27 | | | | | (1248) all_14_8 = e23
% 82.28/12.27 | | | | |
% 82.28/12.27 | | | | | SIMP: (1248) implies:
% 82.28/12.27 | | | | | (1249) all_14_8 = e23
% 82.28/12.27 | | | | |
% 82.28/12.27 | | | | | COMBINE_EQS: (636), (1249) imply:
% 82.28/12.27 | | | | | (1250) all_20_4 = e23
% 82.28/12.27 | | | | |
% 82.28/12.27 | | | | | BETA: splitting (265) gives:
% 82.28/12.27 | | | | |
% 82.28/12.27 | | | | | Case 1:
% 82.28/12.27 | | | | | |
% 82.28/12.27 | | | | | | (1251) all_20_9 = e23
% 82.28/12.27 | | | | | |
% 82.28/12.27 | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1238), (1241),
% 82.28/12.27 | | | | | | (1245), (1250), (1251) are inconsistent by sub-proof #66.
% 82.28/12.27 | | | | | |
% 82.28/12.27 | | | | | Case 2:
% 82.28/12.27 | | | | | |
% 82.28/12.27 | | | | | | (1252) all_20_10 = e23 | all_20_11 = e23 | all_20_15 = e23
% 82.28/12.27 | | | | | |
% 82.28/12.27 | | | | | | BETA: splitting (1252) gives:
% 82.28/12.27 | | | | | |
% 82.28/12.27 | | | | | | Case 1:
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | | (1253) all_20_10 = e23
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | | COMBINE_EQS: (644), (1253) imply:
% 82.28/12.27 | | | | | | | (1254) all_14_13 = e23
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | | SIMP: (1254) implies:
% 82.28/12.27 | | | | | | | (1255) all_14_13 = e23
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | | REDUCE: (792), (1255) imply:
% 82.28/12.27 | | | | | | | (1256) $false
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | | CLOSE: (1256) is inconsistent.
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | Case 2:
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | | (1257) all_20_11 = e23 | all_20_15 = e23
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | | BETA: splitting (1257) gives:
% 82.28/12.27 | | | | | | |
% 82.28/12.27 | | | | | | | Case 1:
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | (1258) all_20_11 = e23
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | COMBINE_EQS: (650), (1258) imply:
% 82.28/12.27 | | | | | | | | (1259) all_14_14 = e23
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | SIMP: (1259) implies:
% 82.28/12.27 | | | | | | | | (1260) all_14_14 = e23
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | COMBINE_EQS: (516), (1260) imply:
% 82.28/12.27 | | | | | | | | (1261) all_24_24 = e23
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | REDUCE: (940), (1260) imply:
% 82.28/12.27 | | | | | | | | (1262) ~ (all_8_2 = e23)
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | SIMP: (1262) implies:
% 82.28/12.27 | | | | | | | | (1263) ~ (all_8_2 = e23)
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | REDUCE: (800), (1260) imply:
% 82.28/12.27 | | | | | | | | (1264) ~ (all_4_1 = e23)
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | SIMP: (1264) implies:
% 82.28/12.27 | | | | | | | | (1265) ~ (all_4_1 = e23)
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | REDUCE: (887), (1260) imply:
% 82.28/12.27 | | | | | | | | (1266) op2(e21, e23) = all_24_11
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | BETA: splitting (264) gives:
% 82.28/12.27 | | | | | | | |
% 82.28/12.27 | | | | | | | | Case 1:
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | | (1267) all_20_9 = e21
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | | COMBINE_EQS: (1241), (1267) imply:
% 82.28/12.27 | | | | | | | | | (1268) e22 = e21
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | | SIMP: (1268) implies:
% 82.28/12.27 | | | | | | | | | (1269) e22 = e21
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | | REDUCE: (1246), (1269) imply:
% 82.28/12.27 | | | | | | | | | (1270) $false
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | | CLOSE: (1270) is inconsistent.
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | Case 2:
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | | (1271) all_20_10 = e21 | all_20_11 = e21 | all_20_15 = e21
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | | BETA: splitting (1271) gives:
% 82.28/12.27 | | | | | | | | |
% 82.28/12.27 | | | | | | | | | Case 1:
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | (1272) all_20_10 = e21
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | COMBINE_EQS: (644), (1272) imply:
% 82.28/12.27 | | | | | | | | | | (1273) all_14_13 = e21
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | SIMP: (1273) implies:
% 82.28/12.27 | | | | | | | | | | (1274) all_14_13 = e21
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | COMBINE_EQS: (529), (1274) imply:
% 82.28/12.27 | | | | | | | | | | (1275) all_24_21 = e21
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | REDUCE: (130), (1274) imply:
% 82.28/12.27 | | | | | | | | | | (1276) ~ (all_14_9 = e21)
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | REDUCE: (792), (1274) imply:
% 82.28/12.27 | | | | | | | | | | (1277) ~ (e23 = e21)
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | GROUND_INST: instantiating (30) with all_8_2, all_24_11, e23,
% 82.28/12.27 | | | | | | | | | | e21, simplifying with (879), (1266) gives:
% 82.28/12.27 | | | | | | | | | | (1278) all_24_11 = all_8_2
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | BETA: splitting (237) gives:
% 82.28/12.27 | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | Case 1:
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | (1279) all_18_8 = e23
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | COMBINE_EQS: (927), (1279) imply:
% 82.28/12.27 | | | | | | | | | | | (1280) all_8_2 = e23
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | SIMP: (1280) implies:
% 82.28/12.27 | | | | | | | | | | | (1281) all_8_2 = e23
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | REDUCE: (1263), (1281) imply:
% 82.28/12.27 | | | | | | | | | | | (1282) $false
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | CLOSE: (1282) is inconsistent.
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | Case 2:
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | (1283) ~ (all_18_8 = e23)
% 82.28/12.27 | | | | | | | | | | | (1284) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | BETA: splitting (239) gives:
% 82.28/12.27 | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | Case 1:
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | (1285) all_18_6 = e23
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | COMBINE_EQS: (704), (1285) imply:
% 82.28/12.27 | | | | | | | | | | | | (1286) all_14_9 = e23
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | SIMP: (1286) implies:
% 82.28/12.27 | | | | | | | | | | | | (1287) all_14_9 = e23
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | REDUCE: (790), (1287) imply:
% 82.28/12.27 | | | | | | | | | | | | (1288) $false
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | CLOSE: (1288) is inconsistent.
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | Case 2:
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | (1289) ~ (all_18_6 = e23)
% 82.28/12.27 | | | | | | | | | | | | (1290) all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | BETA: splitting (240) gives:
% 82.28/12.27 | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | Case 1:
% 82.28/12.27 | | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | | (1291) all_18_4 = e23
% 82.28/12.27 | | | | | | | | | | | | |
% 82.28/12.27 | | | | | | | | | | | | | REF_CLOSE: (698), (772), (1291) are inconsistent by sub-proof
% 82.28/12.27 | | | | | | | | | | | | | #65.
% 82.28/12.27 | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | Case 2:
% 82.53/12.27 | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | (1292) ~ (all_18_4 = e23)
% 82.53/12.27 | | | | | | | | | | | | | (1293) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 82.53/12.27 | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | BETA: splitting (269) gives:
% 82.53/12.27 | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | Case 1:
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | (1294) all_20_4 = e20
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | COMBINE_EQS: (1250), (1294) imply:
% 82.53/12.27 | | | | | | | | | | | | | | (1295) e23 = e20
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | SIMP: (1295) implies:
% 82.53/12.27 | | | | | | | | | | | | | | (1296) e23 = e20
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | REDUCE: (776), (1296) imply:
% 82.53/12.27 | | | | | | | | | | | | | | (1297) $false
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | CLOSE: (1297) is inconsistent.
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | Case 2:
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | (1298) ~ (all_20_4 = e20)
% 82.53/12.27 | | | | | | | | | | | | | | (1299) all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 82.53/12.27 | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | Case 1:
% 82.53/12.27 | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | (1300) all_20_6 = e20
% 82.53/12.27 | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | COMBINE_EQS: (928), (1300) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | (1301) all_8_2 = e20
% 82.53/12.27 | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | SIMP: (1301) implies:
% 82.53/12.27 | | | | | | | | | | | | | | | (1302) all_8_2 = e20
% 82.53/12.27 | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | COMBINE_EQS: (929), (1302) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | (1303) all_24_22 = e20
% 82.53/12.27 | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | REDUCE: (934), (1302) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | (1304) ~ (all_14_1 = e20)
% 82.53/12.27 | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | REDUCE: (879), (1302) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | (1305) op2(e21, e23) = e20
% 82.53/12.27 | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | BETA: splitting (1299) gives:
% 82.53/12.27 | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | Case 1:
% 82.53/12.27 | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | (1306) all_20_5 = e20
% 82.53/12.27 | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (1306) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | | (1307) all_14_9 = e20
% 82.53/12.27 | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | SIMP: (1307) implies:
% 82.53/12.27 | | | | | | | | | | | | | | | | (1308) all_14_9 = e20
% 82.53/12.27 | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (1308) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | | (1309) all_24_20 = e20
% 82.53/12.27 | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | BETA: splitting (1293) gives:
% 82.53/12.27 | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.27 | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | (1310) all_18_4 = e22
% 82.53/12.27 | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1310) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | | | (1311) all_14_1 = e22
% 82.53/12.27 | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | SIMP: (1311) implies:
% 82.53/12.27 | | | | | | | | | | | | | | | | | (1312) all_14_1 = e22
% 82.53/12.27 | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1312) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | | | (1313) all_24_19 = e22
% 82.53/12.27 | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | REDUCE: (1304), (1312) imply:
% 82.53/12.27 | | | | | | | | | | | | | | | | | (1314) ~ (e22 = e20)
% 82.53/12.27 | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 82.53/12.27 | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.27 | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | (1315) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.53/12.27 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.27 | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.53/12.27 | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.27 | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.27 | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.53/12.27 | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.53/12.27 | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.53/12.27 | | | | | | | | | | | | | | | | | | e20)) | (all_24_17 = e21 & all_24_22 = e21 &
% 82.53/12.27 | | | | | | | | | | | | | | | | | | ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 82.53/12.27 | | | | | | | | | | | | | | | | | | (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.53/12.27 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.27 | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.53/12.27 | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.27 | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.27 | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.53/12.27 | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | BETA: splitting (1315) gives:
% 82.53/12.27 | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.27 | | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | (1316) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | e20))
% 82.53/12.27 | | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (1316) gives:
% 82.53/12.27 | | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | | (1317) all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 =
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (1317) implies:
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | | (1318) all_24_19 = e23
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | | (1319) all_24_16 = e23
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (1319) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1320) e23 = e20
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | SIMP: (1320) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1321) e23 = e20
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1313), (1318) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1322) e23 = e22
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1321), (1322) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1323) e22 = e20
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | SIMP: (1323) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1324) e22 = e20
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (1314), (1324) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1325) $false
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | CLOSE: (1325) is inconsistent.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1326) (all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_17 = e23
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | & all_24_22 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1326) gives:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1327) all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (748), (1314), (1327) are inconsistent by
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1328) all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1328) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1329) all_24_22 = e23
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1303), (1329) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1330) e23 = e20
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1330) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1331) $false
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1331) is inconsistent.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (1332) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_6 = e21) & ~ (all_24_7 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | e20))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (1332) gives:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1333) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1333) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1334) ~ (all_24_11 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (1266), (1305), (1334) are inconsistent by
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1335) (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1335) gives:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1336) all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1336) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1337) all_24_18 = e23
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1242), (1337) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1338) e23 = e22
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1238),
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1245), (1250), (1338) are inconsistent by
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1339) all_24_20 = e22 & all_24_23 = e22 & ~ (all_24_4 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1339) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1340) all_24_20 = e22
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1309), (1340) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1341) e22 = e20
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | SIMP: (1341) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1342) e22 = e20
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1314), (1342) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1343) $false
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1343) is inconsistent.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (1344) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 82.53/12.28 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 82.53/12.28 | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | e20)) | (all_24_28 = e23 & ~ (all_24_0 = e23)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.53/12.28 | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | BETA: splitting (1344) gives:
% 82.53/12.28 | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (1345) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | e20))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (1345) gives:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1346) all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1346) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1347) ~ (all_24_11 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (1266), (1305), (1347) are inconsistent by
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1348) (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_24 = e21
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1349) all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1246), (1275), (1349) are inconsistent by
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1350) all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1350) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1351) ~ (all_24_11 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (1266), (1305), (1351) are inconsistent by
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (1352) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (1352) gives:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1353) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (743), (744),
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (776), (1238), (1245), (1250), (1353) are
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #60.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (1354) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1354) gives:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1355) all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1355) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1356) ~ (all_24_11 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (1266), (1305), (1356) are inconsistent by
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1357) ~ (all_24_12 = e23) & ~ (all_24_13 = e22) & ~
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (all_24_14 = e21) & ~ (all_24_15 = e20) &
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e20 | (all_24_18 = e20 & all_24_25 =
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20))
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1357) implies:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1358) ~ (all_24_15 = e20)
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (988), (1358) imply:
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | (1359) $false
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1359) is inconsistent.
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | | |
% 82.53/12.28 | | | | | | | | | | | | | | | | | End of split
% 82.53/12.28 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1360) all_18_4 = e21 | all_18_4 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (762), (1304), (1360) are inconsistent by
% 82.53/12.29 | | | | | | | | | | | | | | | | | sub-proof #79.
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | End of split
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | (1361) ~ (all_20_5 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | REDUCE: (530), (1361) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | (1362) ~ (all_14_9 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | BETA: splitting (1290) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1363) all_18_6 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | COMBINE_EQS: (704), (1363) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1364) all_14_9 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | SIMP: (1364) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1365) all_14_9 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | REDUCE: (159), (1365) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1366) ~ (all_14_1 = e22)
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (762), (1293), (1304), (1366) are
% 82.53/12.29 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1367) all_18_6 = e21 | all_18_6 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | BETA: splitting (1367) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1368) all_18_6 = e21
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (704), (1368) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1369) all_14_9 = e21
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | SIMP: (1369) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1370) all_14_9 = e21
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | REDUCE: (1276), (1370) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1371) $false
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | CLOSE: (1371) is inconsistent.
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1372) all_18_6 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (704), (1362), (1372) are inconsistent by
% 82.53/12.29 | | | | | | | | | | | | | | | | | | sub-proof #59.
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | End of split
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | End of split
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | End of split
% 82.53/12.29 | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | (1373) all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20
% 82.53/12.29 | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | BETA: splitting (1373) gives:
% 82.53/12.29 | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | (1374) all_20_7 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (1374) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | (1375) all_14_6 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | SIMP: (1375) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | (1376) all_14_6 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | REDUCE: (778), (1376) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | (1377) $false
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | CLOSE: (1377) is inconsistent.
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | (1378) all_20_8 = e20 | all_20_11 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | BETA: splitting (1378) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1379) all_20_8 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (1379) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1380) all_4_1 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | SIMP: (1380) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1381) all_4_1 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (1381) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1382) all_24_30 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | REDUCE: (796), (1381) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | (1383) ~ (all_14_9 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1384) all_20_2 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (1384) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1385) all_14_1 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | SIMP: (1385) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1386) all_14_1 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1386) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1387) all_24_19 = e20
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | REDUCE: (934), (1386) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1388) ~ (all_8_2 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | SIMP: (1388) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1389) ~ (all_8_2 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | REDUCE: (762), (1386) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | (1390) ~ (e21 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | BETA: splitting (1284) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | (1391) all_18_8 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (927), (1391) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | (1392) all_8_2 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | SIMP: (1392) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | (1393) all_8_2 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (929), (1393) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | (1394) all_24_22 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | REDUCE: (938), (1393) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | (1395) ~ (all_14_6 = e22)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | REDUCE: (1389), (1393) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | (1396) ~ (e22 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (1397) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_17 = e21 & all_24_22 = e21 &
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1397) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (1398) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e20))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1238),
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (1245), (1250), (1387), (1394), (1396), (1398) are
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (1399) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_6 = e21) & ~ (all_24_7 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e20))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1399) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | (1400) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1246), (1394), (1400) are inconsistent by
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | (1401) (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1402) all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1402) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1403) all_24_18 = e23
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1242), (1403) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1404) e23 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1238),
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1245), (1250), (1404) are inconsistent by
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1405) all_24_20 = e22 & all_24_23 = e22 & ~ (all_24_4 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1405) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1406) all_24_23 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (1406) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1407) all_14_6 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1407) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1408) all_14_6 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1395), (1408) imply:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1409) $false
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1409) is inconsistent.
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (1410) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_28 = e23 & ~ (all_24_0 = e23)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1410) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (1411) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | e20))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1411) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | (1412) all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1412) implies:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | (1413) all_24_23 = e21
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (1414) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_17 = e21 & all_24_22 = e21 &
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1414) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | (1415) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1238),
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | (1245), (1250), (1387), (1394), (1396), (1415) are
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58.
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | (1416) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_6 = e21) & ~ (all_24_7 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1416) gives:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.53/12.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1246), (1394), (1417) are inconsistent by
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1418) (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1238),
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1242), (1245), (1246), (1250), (1413), (1418) are
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #56.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1410) gives:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1411) gives:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1412) implies:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_24_20 = e21
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (1419) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_14_9 = e21
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1276), (1420) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1421) $false
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1421) is inconsistent.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1422) (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_24 = e21
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1246), (1261), (1275), (1422) are
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (1423) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1423) gives:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1424) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (743), (744),
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (776), (1238), (1245), (1250), (1424) are
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #60.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1425) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (767), (988), (1382), (1425) are inconsistent by
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (1426) (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_24 = e21
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1246), (1261), (1275), (1426) are
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (1427) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (1428) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (743), (744),
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (776), (1238), (1245), (1250), (1428) are
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #60.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (1429) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (767), (988), (1382), (1429) are inconsistent by
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | (1430) all_18_8 = e21 | all_18_8 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (1430) gives:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1431) all_18_8 = e21
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (927), (1431) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1432) all_8_2 = e21
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | SIMP: (1432) implies:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1433) all_8_2 = e21
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (942), (1433) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1434) $false
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | CLOSE: (1434) is inconsistent.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1435) all_18_8 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (927), (1435) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1436) all_8_2 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | SIMP: (1436) implies:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1437) all_8_2 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (1389), (1437) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1438) $false
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | CLOSE: (1438) is inconsistent.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | (1439) all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | BETA: splitting (1439) gives:
% 82.53/12.30 | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | (1440) all_20_3 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (740), (1440) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | (1441) e23 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | SIMP: (1441) implies:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | (1442) e23 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1442) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | (1443) $false
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | CLOSE: (1443) is inconsistent.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | (1444) all_20_5 = e20 | all_20_10 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (1444) gives:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1445) all_20_5 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (1445) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1446) all_14_9 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | SIMP: (1446) implies:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1447) all_14_9 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (1383), (1447) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1448) $false
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | CLOSE: (1448) is inconsistent.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1449) all_20_10 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1272), (1449) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1450) e21 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | SIMP: (1450) implies:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1451) e21 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (1451) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | (1452) $false
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | | CLOSE: (1452) is inconsistent.
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | (1453) all_20_11 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1258), (1453) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | (1454) e23 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | SIMP: (1454) implies:
% 82.53/12.30 | | | | | | | | | | | | | | | | | (1455) e23 = e20
% 82.53/12.30 | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | REDUCE: (776), (1455) imply:
% 82.53/12.30 | | | | | | | | | | | | | | | | | (1456) $false
% 82.53/12.30 | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | | CLOSE: (1456) is inconsistent.
% 82.53/12.30 | | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | (1457) all_20_11 = e21 | all_20_15 = e21
% 82.53/12.30 | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | BETA: splitting (1457) gives:
% 82.53/12.30 | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | Case 1:
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | (1458) all_20_11 = e21
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | COMBINE_EQS: (1258), (1458) imply:
% 82.53/12.30 | | | | | | | | | | | (1459) e23 = e21
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | SIMP: (1459) implies:
% 82.53/12.30 | | | | | | | | | | | (1460) e23 = e21
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | REDUCE: (11), (1460) imply:
% 82.53/12.30 | | | | | | | | | | | (1461) $false
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | CLOSE: (1461) is inconsistent.
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | (1462) all_20_15 = e21
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | COMBINE_EQS: (971), (1462) imply:
% 82.53/12.30 | | | | | | | | | | | (1463) e21 = e20
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | REDUCE: (767), (1463) imply:
% 82.53/12.30 | | | | | | | | | | | (1464) $false
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | | CLOSE: (1464) is inconsistent.
% 82.53/12.30 | | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | | |
% 82.53/12.30 | | | | | | | | | End of split
% 82.53/12.30 | | | | | | | | |
% 82.53/12.30 | | | | | | | | End of split
% 82.53/12.30 | | | | | | | |
% 82.53/12.30 | | | | | | | Case 2:
% 82.53/12.30 | | | | | | | |
% 82.53/12.30 | | | | | | | | (1465) all_20_15 = e23
% 82.53/12.30 | | | | | | | |
% 82.53/12.30 | | | | | | | | COMBINE_EQS: (971), (1465) imply:
% 82.53/12.30 | | | | | | | | (1466) e23 = e20
% 82.53/12.30 | | | | | | | |
% 82.53/12.30 | | | | | | | | REDUCE: (776), (1466) imply:
% 82.53/12.30 | | | | | | | | (1467) $false
% 82.53/12.30 | | | | | | | |
% 82.53/12.30 | | | | | | | | CLOSE: (1467) is inconsistent.
% 82.53/12.30 | | | | | | | |
% 82.53/12.30 | | | | | | | End of split
% 82.53/12.30 | | | | | | |
% 82.53/12.30 | | | | | | End of split
% 82.53/12.30 | | | | | |
% 82.53/12.30 | | | | | End of split
% 82.53/12.30 | | | | |
% 82.53/12.30 | | | | Case 2:
% 82.53/12.30 | | | | |
% 82.53/12.30 | | | | | (1468) ~ (all_18_2 = e23)
% 82.53/12.30 | | | | |
% 82.53/12.30 | | | | | REDUCE: (702), (1468) imply:
% 82.53/12.30 | | | | | (1469) ~ (all_14_8 = e23)
% 82.53/12.30 | | | | |
% 82.53/12.30 | | | | | REF_CLOSE: (11), (279), (548), (636), (741), (776), (1241), (1245),
% 82.53/12.30 | | | | | (1469) are inconsistent by sub-proof #88.
% 82.53/12.30 | | | | |
% 82.53/12.30 | | | | End of split
% 82.53/12.30 | | | |
% 82.53/12.30 | | | Case 2:
% 82.53/12.30 | | | |
% 82.53/12.30 | | | | (1470) all_18_3 = e21 | all_18_3 = e20
% 82.53/12.30 | | | |
% 82.53/12.30 | | | | REF_CLOSE: (711), (771), (784), (1470) are inconsistent by sub-proof
% 82.53/12.30 | | | | #54.
% 82.53/12.30 | | | |
% 82.53/12.30 | | | End of split
% 82.53/12.30 | | |
% 82.53/12.30 | | End of split
% 82.53/12.30 | |
% 82.53/12.30 | Case 2:
% 82.53/12.30 | |
% 82.53/12.30 | | (1471) ~ (all_20_15 = e20)
% 82.53/12.30 | | (1472) (all_20_9 = e20 | all_20_10 = e20 | all_20_11 = e20) & (all_20_12
% 82.53/12.30 | | = e20 | all_20_13 = e20 | all_20_14 = e20)
% 82.53/12.30 | |
% 82.53/12.30 | | ALPHA: (1472) implies:
% 82.53/12.30 | | (1473) all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20
% 82.53/12.30 | | (1474) all_20_9 = e20 | all_20_10 = e20 | all_20_11 = e20
% 82.53/12.30 | |
% 82.53/12.30 | | REDUCE: (502), (1471) imply:
% 82.53/12.30 | | (1475) ~ (all_10_1 = e20)
% 82.53/12.30 | |
% 82.53/12.30 | | BETA: splitting (211) gives:
% 82.53/12.30 | |
% 82.53/12.30 | | Case 1:
% 82.53/12.30 | | |
% 82.53/12.30 | | | (1476) all_16_3 = e13
% 82.53/12.30 | | |
% 82.53/12.30 | | | COMBINE_EQS: (682), (1476) imply:
% 82.53/12.30 | | | (1477) all_12_12 = e13
% 82.53/12.30 | | |
% 82.53/12.30 | | | SIMP: (1477) implies:
% 82.53/12.30 | | | (1478) all_12_12 = e13
% 82.53/12.30 | | |
% 82.53/12.30 | | | COMBINE_EQS: (606), (1478) imply:
% 82.53/12.30 | | | (1479) all_22_9 = e13
% 82.53/12.30 | | |
% 82.53/12.30 | | | COMBINE_EQS: (484), (1478) imply:
% 82.53/12.30 | | | (1480) all_26_18 = e13
% 82.53/12.30 | | |
% 82.53/12.30 | | | REDUCE: (68), (1478) imply:
% 82.53/12.30 | | | (1481) ~ (all_12_8 = e13)
% 82.53/12.30 | | |
% 82.53/12.30 | | | REDUCE: (60), (1478) imply:
% 82.53/12.30 | | | (1482) ~ (all_12_14 = e13)
% 82.53/12.30 | | |
% 82.53/12.30 | | | SIMP: (1482) implies:
% 82.53/12.30 | | | (1483) ~ (all_12_14 = e13)
% 82.53/12.30 | | |
% 82.53/12.30 | | | BETA: splitting (212) gives:
% 82.53/12.30 | | |
% 82.53/12.30 | | | Case 1:
% 82.53/12.30 | | | |
% 82.53/12.30 | | | | (1484) all_16_2 = e13
% 82.53/12.30 | | | |
% 82.53/12.30 | | | | COMBINE_EQS: (675), (1484) imply:
% 82.53/12.30 | | | | (1485) all_12_8 = e13
% 82.53/12.30 | | | |
% 82.53/12.30 | | | | SIMP: (1485) implies:
% 82.53/12.30 | | | | (1486) all_12_8 = e13
% 82.53/12.30 | | | |
% 82.53/12.30 | | | | REDUCE: (1481), (1486) imply:
% 82.53/12.30 | | | | (1487) $false
% 82.53/12.30 | | | |
% 82.53/12.30 | | | | CLOSE: (1487) is inconsistent.
% 82.53/12.30 | | | |
% 82.53/12.31 | | | Case 2:
% 82.53/12.31 | | | |
% 82.53/12.31 | | | | (1488) ~ (all_16_2 = e13)
% 82.53/12.31 | | | | (1489) all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10
% 82.53/12.31 | | | |
% 82.53/12.31 | | | | BETA: splitting (1489) gives:
% 82.53/12.31 | | | |
% 82.53/12.31 | | | | Case 1:
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | (1490) all_16_2 = e12
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | COMBINE_EQS: (675), (1490) imply:
% 82.53/12.31 | | | | | (1491) all_12_8 = e12
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | SIMP: (1491) implies:
% 82.53/12.31 | | | | | (1492) all_12_8 = e12
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | COMBINE_EQS: (488), (1492) imply:
% 82.53/12.31 | | | | | (1493) all_26_17 = e12
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | REDUCE: (71), (1492) imply:
% 82.53/12.31 | | | | | (1494) ~ (all_12_9 = e12)
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | SIMP: (1494) implies:
% 82.53/12.31 | | | | | (1495) ~ (all_12_9 = e12)
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | REDUCE: (70), (1492) imply:
% 82.53/12.31 | | | | | (1496) ~ (all_12_10 = e12)
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | SIMP: (1496) implies:
% 82.53/12.31 | | | | | (1497) ~ (all_12_10 = e12)
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | REDUCE: (69), (1492) imply:
% 82.53/12.31 | | | | | (1498) ~ (all_12_11 = e12)
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | SIMP: (1498) implies:
% 82.53/12.31 | | | | | (1499) ~ (all_12_11 = e12)
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | REDUCE: (1481), (1492) imply:
% 82.53/12.31 | | | | | (1500) ~ (e13 = e12)
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | BETA: splitting (203) gives:
% 82.53/12.31 | | | | |
% 82.53/12.31 | | | | | Case 1:
% 82.53/12.31 | | | | | |
% 82.53/12.31 | | | | | | (1501) all_16_13 = e13
% 82.53/12.31 | | | | | |
% 82.53/12.31 | | | | | | COMBINE_EQS: (689), (1501) imply:
% 82.53/12.31 | | | | | | (1502) all_12_7 = e13
% 82.53/12.31 | | | | | |
% 82.53/12.31 | | | | | | REDUCE: (830), (1502) imply:
% 82.53/12.31 | | | | | | (1503) $false
% 82.53/12.31 | | | | | |
% 82.53/12.31 | | | | | | CLOSE: (1503) is inconsistent.
% 82.53/12.31 | | | | | |
% 82.53/12.31 | | | | | Case 2:
% 82.53/12.31 | | | | | |
% 82.53/12.31 | | | | | | (1504) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 82.53/12.31 | | | | | |
% 82.53/12.31 | | | | | | BETA: splitting (210) gives:
% 82.53/12.31 | | | | | |
% 82.53/12.31 | | | | | | Case 1:
% 82.53/12.31 | | | | | | |
% 82.53/12.31 | | | | | | | (1505) all_16_4 = e13
% 82.53/12.31 | | | | | | |
% 82.53/12.31 | | | | | | | REF_CLOSE: (671), (816), (1505) are inconsistent by sub-proof #53.
% 82.53/12.31 | | | | | | |
% 82.53/12.31 | | | | | | Case 2:
% 82.53/12.31 | | | | | | |
% 82.53/12.31 | | | | | | | (1506) ~ (all_16_4 = e13)
% 82.53/12.31 | | | | | | | (1507) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 82.53/12.31 | | | | | | |
% 82.53/12.31 | | | | | | | BETA: splitting (209) gives:
% 82.53/12.31 | | | | | | |
% 82.53/12.31 | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | | (1508) all_16_6 = e13
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | | COMBINE_EQS: (676), (1508) imply:
% 82.53/12.31 | | | | | | | | (1509) all_12_9 = e13
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | | SIMP: (1509) implies:
% 82.53/12.31 | | | | | | | | (1510) all_12_9 = e13
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | | REDUCE: (832), (1510) imply:
% 82.53/12.31 | | | | | | | | (1511) $false
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | | CLOSE: (1511) is inconsistent.
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | | (1512) all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | | BETA: splitting (206) gives:
% 82.53/12.31 | | | | | | | |
% 82.53/12.31 | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | |
% 82.53/12.31 | | | | | | | | | (1513) all_16_9 = e13
% 82.53/12.31 | | | | | | | | |
% 82.53/12.31 | | | | | | | | | COMBINE_EQS: (680), (1513) imply:
% 82.53/12.31 | | | | | | | | | (1514) all_12_6 = e13
% 82.53/12.31 | | | | | | | | |
% 82.53/12.31 | | | | | | | | | REDUCE: (828), (1514) imply:
% 82.53/12.31 | | | | | | | | | (1515) $false
% 82.53/12.31 | | | | | | | | |
% 82.53/12.31 | | | | | | | | | CLOSE: (1515) is inconsistent.
% 82.53/12.31 | | | | | | | | |
% 82.53/12.31 | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | |
% 82.53/12.31 | | | | | | | | | (1516) ~ (all_16_9 = e13)
% 82.53/12.31 | | | | | | | | | (1517) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 82.53/12.31 | | | | | | | | |
% 82.53/12.31 | | | | | | | | | BETA: splitting (297) gives:
% 82.53/12.31 | | | | | | | | |
% 82.53/12.31 | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | (1518) all_22_15 = e10
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | COMBINE_EQS: (632), (1518) imply:
% 82.53/12.31 | | | | | | | | | | (1519) all_12_15 = e10
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | SIMP: (1519) implies:
% 82.53/12.31 | | | | | | | | | | (1520) all_12_15 = e10
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | COMBINE_EQS: (600), (1520) imply:
% 82.53/12.31 | | | | | | | | | | (1521) all_26_31 = e10
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | REDUCE: (86), (1520) imply:
% 82.53/12.31 | | | | | | | | | | (1522) ~ (all_12_3 = e10)
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | REDUCE: (62), (1520) imply:
% 82.53/12.31 | | | | | | | | | | (1523) ~ (all_12_11 = e10)
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | REDUCE: (56), (1520) imply:
% 82.53/12.31 | | | | | | | | | | (1524) ~ (all_12_14 = e10)
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | REDUCE: (892), (1520) imply:
% 82.53/12.31 | | | | | | | | | | (1525) op1(e10, e10) = all_26_15
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | REDUCE: (104), (1520) imply:
% 82.53/12.31 | | | | | | | | | | (1526) op1(e10, e10) = e10
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | BETA: splitting (363) gives:
% 82.53/12.31 | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | (1527) ~ (all_26_23 = e11)
% 82.53/12.31 | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | REDUCE: (458), (1527) imply:
% 82.53/12.31 | | | | | | | | | | | (1528) ~ (all_12_6 = e11)
% 82.53/12.31 | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | BETA: splitting (1517) gives:
% 82.53/12.31 | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | (1529) all_16_9 = e12
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | COMBINE_EQS: (680), (1529) imply:
% 82.53/12.31 | | | | | | | | | | | | (1530) all_12_6 = e12
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | SIMP: (1530) implies:
% 82.53/12.31 | | | | | | | | | | | | (1531) all_12_6 = e12
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | COMBINE_EQS: (458), (1531) imply:
% 82.53/12.31 | | | | | | | | | | | | (1532) all_26_23 = e12
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | REDUCE: (91), (1531) imply:
% 82.53/12.31 | | | | | | | | | | | | (1533) ~ (all_12_2 = e12)
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | REDUCE: (76), (1531) imply:
% 82.53/12.31 | | | | | | | | | | | | (1534) ~ (all_12_7 = e12)
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | SIMP: (1534) implies:
% 82.53/12.31 | | | | | | | | | | | | (1535) ~ (all_12_7 = e12)
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | REDUCE: (74), (1531) imply:
% 82.53/12.31 | | | | | | | | | | | | (1536) ~ (all_12_14 = e12)
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | SIMP: (1536) implies:
% 82.53/12.31 | | | | | | | | | | | | (1537) ~ (all_12_14 = e12)
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | BETA: splitting (1504) gives:
% 82.53/12.31 | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | (1538) all_16_13 = e12
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | COMBINE_EQS: (689), (1538) imply:
% 82.53/12.31 | | | | | | | | | | | | | (1539) all_12_7 = e12
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | SIMP: (1539) implies:
% 82.53/12.31 | | | | | | | | | | | | | (1540) all_12_7 = e12
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | REDUCE: (1535), (1540) imply:
% 82.53/12.31 | | | | | | | | | | | | | (1541) $false
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | CLOSE: (1541) is inconsistent.
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | (1542) all_16_13 = e11 | all_16_13 = e10
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | BETA: splitting (1542) gives:
% 82.53/12.31 | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | (1543) all_16_13 = e11
% 82.53/12.31 | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | COMBINE_EQS: (689), (1543) imply:
% 82.53/12.31 | | | | | | | | | | | | | | (1544) all_12_7 = e11
% 82.53/12.31 | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | SIMP: (1544) implies:
% 82.53/12.31 | | | | | | | | | | | | | | (1545) all_12_7 = e11
% 82.53/12.31 | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | COMBINE_EQS: (444), (1545) imply:
% 82.53/12.31 | | | | | | | | | | | | | | (1546) all_26_26 = e11
% 82.53/12.31 | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | REDUCE: (73), (1545) imply:
% 82.53/12.31 | | | | | | | | | | | | | | (1547) ~ (all_12_11 = e11)
% 82.53/12.31 | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | SIMP: (1547) implies:
% 82.53/12.31 | | | | | | | | | | | | | | (1548) ~ (all_12_11 = e11)
% 82.53/12.31 | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 82.53/12.31 | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | (1549) all_16_14 = e13
% 82.53/12.31 | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1549) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | (1550) all_12_11 = e13
% 82.53/12.31 | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | COMBINE_EQS: (597), (1550) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | (1551) all_26_27 = e13
% 82.53/12.31 | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | REDUCE: (87), (1550) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | (1552) ~ (all_12_3 = e13)
% 82.53/12.31 | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 82.53/12.31 | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | (1553) all_16_11 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1553) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | (1554) all_12_14 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | REDUCE: (1483), (1554) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | (1555) $false
% 82.53/12.31 | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | CLOSE: (1555) is inconsistent.
% 82.53/12.31 | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | (1556) all_16_11 = e12 | all_16_11 = e11 | all_16_11 =
% 82.53/12.31 | | | | | | | | | | | | | | | | e10
% 82.53/12.31 | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | (1557) all_22_0 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (1557) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | (1558) e13 = e11
% 82.53/12.31 | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | REDUCE: (9), (1558) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | (1559) $false
% 82.53/12.31 | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | CLOSE: (1559) is inconsistent.
% 82.53/12.31 | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | (1560) all_22_2 = e13 | all_22_6 = e13 | all_22_12 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | BETA: splitting (1560) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | (1561) all_22_2 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | REF_CLOSE: (608), (816), (1561) are inconsistent by sub-proof
% 82.53/12.31 | | | | | | | | | | | | | | | | | | #52.
% 82.53/12.31 | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | (1562) all_22_6 = e13 | all_22_12 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | BETA: splitting (1562) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | (1563) all_22_6 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1563) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | (1564) all_12_2 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | SIMP: (1564) implies:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | (1565) all_12_2 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1565) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | (1566) ~ (all_12_3 = e13)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | (1567) all_22_0 = e10
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (626), (811), (1567) are inconsistent by sub-proof
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | #51.
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | (1568) all_22_2 = e10 | all_22_6 = e10 | all_22_12 = e10
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1568) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | (1569) all_22_2 = e10
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (1569) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | (1570) all_12_1 = e10
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | SIMP: (1570) implies:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | (1571) all_12_1 = e10
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (1571) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | (1572) all_26_19 = e10
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1556) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | (1573) all_16_11 = e12
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1573) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | (1574) all_12_14 = e12
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1574) implies:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | (1575) all_12_14 = e12
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1537), (1575) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | (1576) $false
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1576) is inconsistent.
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | (1577) ~ (all_16_11 = e12)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | (1578) all_16_11 = e11 | all_16_11 = e10
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1578) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | (1579) all_16_11 = e11
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1579) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | (1580) all_12_14 = e11
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1580) implies:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | (1581) all_12_14 = e11
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1581) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | (1582) ~ (all_12_10 = e11)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1483), (1581) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | (1583) ~ (e13 = e11)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1537), (1581) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | (1584) ~ (e12 = e11)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | (1585) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_17 = e11 & all_26_22 = e11 &
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1585) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1586) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1586) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (818), (1572), (1587) are inconsistent by
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_17 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10))
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1588) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1572), (1589) are inconsistent by sub-proof
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | #49.
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1493), (1590) are inconsistent by sub-proof
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | #48.
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1591) (all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_18 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_20 = e12 & all_26_23
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_6 = e11) & ~ (all_26_7 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1591) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1493), (1592) are inconsistent by sub-proof
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1593) gives:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 =
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1594) implies:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_26_25 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (1595) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_12_3 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1596) implies:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) all_12_3 = e13
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1552), (1597) imply:
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) $false
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1598) is inconsistent.
% 82.53/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (579), (1495), (1599) are inconsistent by
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (1600) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1600) gives:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1601) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1602) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_26_23 = e11
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1532), (1603) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) e12 = e11
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1604) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) e12 = e11
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1605) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) $false
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1606) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) (all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_24 = e11
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_27 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10))
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1607) gives:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1608) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_26_26 = e12
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1546), (1609) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) e12 = e11
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1610) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) $false
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1611) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_26_24 = e11 & all_26_27 = e11 & ~ (all_26_8 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1551), (1612) are inconsistent by sub-proof
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | #45.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1613) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1613) gives:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10))
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (749), (1614) are inconsistent
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #43.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1615) gives:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1616) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_26_30 = e11
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (1617) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_12_10 = e11
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1618) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_12_10 = e11
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1582), (1619) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) $false
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1620) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_14 = e11) & ~ (all_26_15 = e10) &
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10))
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1621) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) ~ (all_26_15 = e10)
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e10, all_26_15, e10, e10,
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1525), (1526) gives:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_26_15 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1623) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) $false
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1624) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | (1625) all_16_11 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1625) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | (1626) all_12_14 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1626) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | (1627) all_12_14 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1524), (1627) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | (1628) $false
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1628) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | (1629) all_22_6 = e10 | all_22_12 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1629) gives:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | (1630) all_22_6 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1563), (1630) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | (1631) e13 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1631) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | (1632) e13 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1632) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | (1633) $false
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1633) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | (1634) all_22_12 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1634) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | (1635) all_12_3 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1635) implies:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | (1636) all_12_3 = e10
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1522), (1636) imply:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | (1637) $false
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1637) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | (1638) all_22_12 = e13
% 82.53/12.32 | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (619), (1552), (1638) are inconsistent by
% 82.53/12.32 | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 82.53/12.32 | | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | (1639) all_16_14 = e12 | all_16_14 = e11 | all_16_14 =
% 82.53/12.32 | | | | | | | | | | | | | | | e10
% 82.53/12.32 | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | | REF_CLOSE: (691), (1499), (1523), (1548), (1639) are
% 82.53/12.32 | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 82.53/12.32 | | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | (1640) all_16_13 = e10
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | COMBINE_EQS: (689), (1640) imply:
% 82.53/12.32 | | | | | | | | | | | | | | (1641) all_12_7 = e10
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | SIMP: (1641) implies:
% 82.53/12.32 | | | | | | | | | | | | | | (1642) all_12_7 = e10
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | REDUCE: (822), (1642) imply:
% 82.53/12.32 | | | | | | | | | | | | | | (1643) $false
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | CLOSE: (1643) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | (1644) all_16_9 = e11 | all_16_9 = e10
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | REF_CLOSE: (680), (820), (1528), (1644) are inconsistent by
% 82.53/12.32 | | | | | | | | | | | | sub-proof #40.
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | (1645) all_26_28 = e12 | all_26_29 = e12 | all_26_30 =
% 82.53/12.32 | | | | | | | | | | | e12 | all_26_31 = e12
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | BETA: splitting (1645) gives:
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | (1646) all_26_28 = e12
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | COMBINE_EQS: (567), (1646) imply:
% 82.53/12.32 | | | | | | | | | | | | (1647) e12 = e11
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | REDUCE: (8), (1647) imply:
% 82.53/12.32 | | | | | | | | | | | | (1648) $false
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | CLOSE: (1648) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | (1649) all_26_29 = e12 | all_26_30 = e12 | all_26_31 =
% 82.53/12.32 | | | | | | | | | | | | e12
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | BETA: splitting (1649) gives:
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | (1650) all_26_29 = e12
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | REF_CLOSE: (10), (749), (1650) are inconsistent by sub-proof
% 82.53/12.32 | | | | | | | | | | | | | #39.
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | (1651) all_26_30 = e12 | all_26_31 = e12
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | BETA: splitting (1651) gives:
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | (1652) all_26_30 = e12
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | COMBINE_EQS: (589), (1652) imply:
% 82.53/12.32 | | | | | | | | | | | | | | (1653) all_12_10 = e12
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | SIMP: (1653) implies:
% 82.53/12.32 | | | | | | | | | | | | | | (1654) all_12_10 = e12
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | REDUCE: (1497), (1654) imply:
% 82.53/12.32 | | | | | | | | | | | | | | (1655) $false
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | CLOSE: (1655) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | (1656) all_26_31 = e12
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | COMBINE_EQS: (1521), (1656) imply:
% 82.53/12.32 | | | | | | | | | | | | | | (1657) e12 = e10
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | SIMP: (1657) implies:
% 82.53/12.32 | | | | | | | | | | | | | | (1658) e12 = e10
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | REDUCE: (7), (1658) imply:
% 82.53/12.32 | | | | | | | | | | | | | | (1659) $false
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | | CLOSE: (1659) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | End of split
% 82.53/12.32 | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | (1660) ~ (all_22_15 = e10)
% 82.53/12.32 | | | | | | | | | | (1661) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 =
% 82.53/12.32 | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 |
% 82.53/12.32 | | | | | | | | | | all_22_14 = e10)
% 82.53/12.32 | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | ALPHA: (1661) implies:
% 82.53/12.32 | | | | | | | | | | (1662) all_22_12 = e10 | all_22_13 = e10 | all_22_14 =
% 82.53/12.32 | | | | | | | | | | e10
% 82.53/12.32 | | | | | | | | | | (1663) all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10
% 82.53/12.32 | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | REDUCE: (632), (1660) imply:
% 82.53/12.32 | | | | | | | | | | (1664) ~ (all_12_15 = e10)
% 82.53/12.32 | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | BETA: splitting (364) gives:
% 82.53/12.32 | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | (1665) ~ (all_26_18 = e13)
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | REDUCE: (1480), (1665) imply:
% 82.53/12.32 | | | | | | | | | | | (1666) $false
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | CLOSE: (1666) is inconsistent.
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | (1667) all_26_28 = e10 | all_26_29 = e10 | all_26_30 =
% 82.53/12.32 | | | | | | | | | | | e10 | all_26_31 = e10
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | BETA: splitting (1667) gives:
% 82.53/12.32 | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | (1668) all_26_28 = e10
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | COMBINE_EQS: (567), (1668) imply:
% 82.53/12.32 | | | | | | | | | | | | (1669) e11 = e10
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | SIMP: (1669) implies:
% 82.53/12.32 | | | | | | | | | | | | (1670) e11 = e10
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | REDUCE: (811), (1670) imply:
% 82.53/12.32 | | | | | | | | | | | | (1671) $false
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | CLOSE: (1671) is inconsistent.
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | Case 2:
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | (1672) all_26_29 = e10 | all_26_30 = e10 | all_26_31 =
% 82.53/12.32 | | | | | | | | | | | | e10
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | BETA: splitting (1672) gives:
% 82.53/12.32 | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | Case 1:
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | (1673) all_26_29 = e10
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | COMBINE_EQS: (749), (1673) imply:
% 82.53/12.32 | | | | | | | | | | | | | (1674) e13 = e10
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | SIMP: (1674) implies:
% 82.53/12.32 | | | | | | | | | | | | | (1675) e13 = e10
% 82.53/12.32 | | | | | | | | | | | | |
% 82.53/12.32 | | | | | | | | | | | | | REDUCE: (818), (1675) imply:
% 82.53/12.33 | | | | | | | | | | | | | (1676) $false
% 82.53/12.33 | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | CLOSE: (1676) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | (1677) ~ (all_26_29 = e10)
% 82.53/12.33 | | | | | | | | | | | | | (1678) all_26_30 = e10 | all_26_31 = e10
% 82.53/12.33 | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | BETA: splitting (1678) gives:
% 82.53/12.33 | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | (1679) all_26_30 = e10
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | COMBINE_EQS: (589), (1679) imply:
% 82.53/12.33 | | | | | | | | | | | | | | (1680) all_12_10 = e10
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | SIMP: (1680) implies:
% 82.53/12.33 | | | | | | | | | | | | | | (1681) all_12_10 = e10
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | REDUCE: (64), (1681) imply:
% 82.53/12.33 | | | | | | | | | | | | | | (1682) ~ (all_12_11 = e10)
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | SIMP: (1682) implies:
% 82.53/12.33 | | | | | | | | | | | | | | (1683) ~ (all_12_11 = e10)
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | REDUCE: (63), (1681) imply:
% 82.53/12.33 | | | | | | | | | | | | | | (1684) ~ (all_12_14 = e10)
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | SIMP: (1684) implies:
% 82.53/12.33 | | | | | | | | | | | | | | (1685) ~ (all_12_14 = e10)
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | BETA: splitting (1662) gives:
% 82.53/12.33 | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | (1686) all_22_12 = e10
% 82.53/12.33 | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1686) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | (1687) all_12_3 = e10
% 82.53/12.33 | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | SIMP: (1687) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | (1688) all_12_3 = e10
% 82.53/12.33 | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | COMBINE_EQS: (448), (1688) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | (1689) all_26_25 = e10
% 82.53/12.33 | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | BETA: splitting (1663) gives:
% 82.53/12.33 | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | (1690) all_22_9 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | COMBINE_EQS: (1479), (1690) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | (1691) e13 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | SIMP: (1691) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | (1692) e13 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | REDUCE: (818), (1692) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | (1693) $false
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | CLOSE: (1693) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | (1694) all_22_10 = e10 | all_22_11 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | BETA: splitting (1694) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | (1695) all_22_10 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1695) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | (1696) all_12_13 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | SIMP: (1696) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | (1697) all_12_13 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (1697) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | (1698) all_26_21 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | REDUCE: (93), (1697) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | (1699) ~ (all_12_1 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | REDUCE: (65), (1697) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | (1700) ~ (all_12_9 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | REDUCE: (57), (1697) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | (1701) ~ (all_12_15 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | (1702) all_16_6 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1702) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | (1703) all_12_9 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | REDUCE: (1495), (1703) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | (1704) $false
% 82.53/12.33 | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | CLOSE: (1704) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | (1705) all_16_6 = e11 | all_16_6 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | BETA: splitting (1507) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | (1706) all_16_4 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1706) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | (1707) all_12_1 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (1707) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | (1708) all_26_19 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (1705) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | (1709) all_16_6 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1709) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | (1710) all_12_9 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (1710) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | (1711) all_12_9 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (1711) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | (1712) all_26_20 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (1711) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | (1713) ~ (all_12_11 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (1713) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | (1714) ~ (all_12_11 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | REDUCE: (1495), (1711) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | (1715) ~ (e12 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | (1716) all_16_14 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1716) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | (1717) all_12_11 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | SIMP: (1717) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | (1718) all_12_11 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (1718) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | (1719) all_22_14 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (1718) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | (1720) all_26_27 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (1721) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_17 = e11 & all_26_22 = e11 &
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (1722) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1722) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1723) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_26_19 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_26_16 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (1725) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1726) e13 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1708), (1724) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1727) e13 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1726), (1727) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1728) e12 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1728) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1729) e12 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1729) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1730) $false
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1730) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1731) (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_17 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10))
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1731) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1732) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_26_16 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (1733) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1734) e12 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1734) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1735) $false
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1735) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1493), (1736) are inconsistent by sub-proof
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | #48.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (1737) (all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_18 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_20 = e12 & all_26_23
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_6 = e11) & ~ (all_26_7 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1737) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1493), (1738) are inconsistent by sub-proof
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1739) (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1739) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1740) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_26_25 = e13
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1689), (1741) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1742) e13 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1742) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1743) $false
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1743) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1744) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_26_20 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1712), (1745) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1746) e12 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1746) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1747) $false
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1747) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (1748) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1748) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (1749) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1749) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1750) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_26_23 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (1751) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_12_6 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1752) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_12_6 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1753) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1754) ~ (all_12_7 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1754) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_12_7 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (1753) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | (1756) ~ (e13 = e11)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1504) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_16_13 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1757) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_12_7 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1758) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_12_7 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (1759) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_22_13 = e12
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (1759) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1761) ~ (all_12_15 = e12)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1761) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1762) ~ (all_12_15 = e12)
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_22_12 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1686), (1763) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) e11 = e10
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (1764) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) $false
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1765) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_22_13 = e11 | all_22_14 = e11 | all_22_15 =
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1766) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_22_13 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1760), (1767) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) e12 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1768) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) e12 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1769) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) $false
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1770) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_22_14 = e11 | all_22_15 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1771) gives:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_22_14 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1719), (1772) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) e13 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1773) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) e13 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1774) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) $false
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1775) is inconsistent.
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_22_15 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (1776) imply:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) all_12_15 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1777) implies:
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_12_15 = e11
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1778) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_26_31 = e11
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) ~ (all_26_23 = e11)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1751), (1780) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1781) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_26_28 = e12 | all_26_29 = e12 | all_26_30 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 | all_26_31 = e12
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1782) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_26_28 = e12
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (1783) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) e12 = e11
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1784) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1785) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) ~ (all_26_28 = e12)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_26_29 = e12 | all_26_30 = e12 | all_26_31 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1787) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_26_29 = e12
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (749), (1788) are inconsistent by sub-proof
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_26_30 = e12 | all_26_31 = e12
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1789) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_26_30 = e12
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1679), (1790) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) e12 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1791) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1792) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_26_31 = e12
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1779), (1793) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) e12 = e11
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1794) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) e12 = e11
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1795) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1796) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_16_13 = e11 | all_16_13 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (689), (822), (1755), (1797) are inconsistent by
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #38.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (1798) (all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_24 = e11
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | & all_26_27 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10))
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1798) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1799) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_26_21 = e12
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1698), (1800) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1801) e12 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1801) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1802) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1802) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_26_24 = e11 & all_26_27 = e11 & ~ (all_26_8 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1720), (1803) are inconsistent by sub-proof
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | #45.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (1804) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1804) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (1805) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10))
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (749), (1805) are inconsistent
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #43.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (1806) (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1806) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1807) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_26_30 = e11
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1679), (1808) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1809) e11 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (1809) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1810) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1810) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1811) ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_14 = e11) & ~ (all_26_15 = e10) &
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10))
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1811) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_26_31 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1813) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_12_15 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1664), (1814) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1815) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) (all_26_18 = e10 & all_26_25 = e10) | (all_26_21 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e10) | (all_26_24 = e10 &
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e10)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1816) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_26_18 = e10 & all_26_25 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1817) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_26_18 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1480), (1818) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) e13 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1819) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) e13 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1820) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1821) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) (all_26_21 = e10 & all_26_26 = e10) | (all_26_24 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_27 = e10)
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1822) gives:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_26_21 = e10 & all_26_26 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1823) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_26_26 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1824) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_12_7 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1825) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_12_7 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1826) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1827) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_26_24 = e10 & all_26_27 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1828) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_26_27 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1720), (1829) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) e13 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1830) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) e13 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1831) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1832) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | (1833) all_16_14 = e12 | all_16_14 = e11 | all_16_14 =
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (691), (1499), (1683), (1714), (1833) are
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | (1834) all_16_6 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1834) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | (1835) all_12_9 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | SIMP: (1835) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | (1836) all_12_9 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (1700), (1836) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | (1837) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | | CLOSE: (1837) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | (1838) all_16_4 = e11 | all_16_4 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (806), (1699), (1838) are inconsistent by
% 82.53/12.34 | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 82.53/12.34 | | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | (1839) all_22_11 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (1839) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | (1840) all_12_14 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | SIMP: (1840) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | | (1841) all_12_14 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | REDUCE: (1685), (1841) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | | (1842) $false
% 82.53/12.34 | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | | CLOSE: (1842) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | (1843) all_22_13 = e10 | all_22_14 = e10
% 82.53/12.34 | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | BETA: splitting (1843) gives:
% 82.53/12.34 | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | Case 1:
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | (1844) all_22_13 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (1844) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | (1845) all_12_7 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | SIMP: (1845) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | (1846) all_12_7 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | REDUCE: (822), (1846) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | (1847) $false
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | CLOSE: (1847) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | (1848) all_22_14 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (1848) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | (1849) all_12_11 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | SIMP: (1849) implies:
% 82.53/12.34 | | | | | | | | | | | | | | | | (1850) all_12_11 = e10
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | REDUCE: (1683), (1850) imply:
% 82.53/12.34 | | | | | | | | | | | | | | | | (1851) $false
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | | CLOSE: (1851) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | Case 2:
% 82.53/12.34 | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | (1852) all_26_31 = e10
% 82.53/12.34 | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | COMBINE_EQS: (600), (1852) imply:
% 82.53/12.34 | | | | | | | | | | | | | | (1853) all_12_15 = e10
% 82.53/12.34 | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | REDUCE: (1664), (1853) imply:
% 82.53/12.34 | | | | | | | | | | | | | | (1854) $false
% 82.53/12.34 | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | | CLOSE: (1854) is inconsistent.
% 82.53/12.34 | | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | | |
% 82.53/12.34 | | | | | | | | | End of split
% 82.53/12.34 | | | | | | | | |
% 82.53/12.34 | | | | | | | | End of split
% 82.53/12.34 | | | | | | | |
% 82.53/12.34 | | | | | | | End of split
% 82.53/12.34 | | | | | | |
% 82.53/12.34 | | | | | | End of split
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | End of split
% 82.53/12.34 | | | | |
% 82.53/12.34 | | | | Case 2:
% 82.53/12.34 | | | | |
% 82.53/12.34 | | | | | (1855) all_16_2 = e11 | all_16_2 = e10
% 82.53/12.34 | | | | |
% 82.53/12.34 | | | | | BETA: splitting (1855) gives:
% 82.53/12.34 | | | | |
% 82.53/12.34 | | | | | Case 1:
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | (1856) all_16_2 = e11
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | COMBINE_EQS: (675), (1856) imply:
% 82.53/12.34 | | | | | | (1857) all_12_8 = e11
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | SIMP: (1857) implies:
% 82.53/12.34 | | | | | | (1858) all_12_8 = e11
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | REDUCE: (813), (1858) imply:
% 82.53/12.34 | | | | | | (1859) $false
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | CLOSE: (1859) is inconsistent.
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | Case 2:
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | (1860) all_16_2 = e10
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | COMBINE_EQS: (675), (1860) imply:
% 82.53/12.34 | | | | | | (1861) all_12_8 = e10
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | SIMP: (1861) implies:
% 82.53/12.34 | | | | | | (1862) all_12_8 = e10
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | REDUCE: (824), (1862) imply:
% 82.53/12.34 | | | | | | (1863) $false
% 82.53/12.34 | | | | | |
% 82.53/12.34 | | | | | | CLOSE: (1863) is inconsistent.
% 82.53/12.34 | | | | | |
% 82.53/12.35 | | | | | End of split
% 82.53/12.35 | | | | |
% 82.53/12.35 | | | | End of split
% 82.53/12.35 | | | |
% 82.53/12.35 | | | End of split
% 82.53/12.35 | | |
% 82.53/12.35 | | Case 2:
% 82.53/12.35 | | |
% 82.53/12.35 | | | (1864) ~ (all_16_3 = e13)
% 82.53/12.35 | | | (1865) all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10
% 82.53/12.35 | | |
% 82.53/12.35 | | | REDUCE: (682), (1864) imply:
% 82.53/12.35 | | | (1866) ~ (all_12_12 = e13)
% 82.53/12.35 | | |
% 82.53/12.35 | | | BETA: splitting (313) gives:
% 82.53/12.35 | | |
% 82.53/12.35 | | | Case 1:
% 82.53/12.35 | | | |
% 82.53/12.35 | | | | (1867) all_22_0 = e13
% 82.53/12.35 | | | |
% 82.53/12.35 | | | | COMBINE_EQS: (626), (1867) imply:
% 82.87/12.35 | | | | (1868) e13 = e11
% 82.87/12.35 | | | |
% 82.87/12.35 | | | | REDUCE: (9), (1868) imply:
% 82.87/12.35 | | | | (1869) $false
% 82.87/12.35 | | | |
% 82.87/12.35 | | | | CLOSE: (1869) is inconsistent.
% 82.87/12.35 | | | |
% 82.87/12.35 | | | Case 2:
% 82.87/12.35 | | | |
% 82.87/12.35 | | | | (1870) all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 82.87/12.35 | | | |
% 82.87/12.35 | | | | BETA: splitting (1870) gives:
% 82.87/12.35 | | | |
% 82.87/12.35 | | | | Case 1:
% 82.87/12.35 | | | | |
% 82.87/12.35 | | | | | (1871) all_22_1 = e13
% 82.87/12.35 | | | | |
% 82.87/12.35 | | | | | COMBINE_EQS: (569), (1871) imply:
% 82.87/12.35 | | | | | (1872) e13 = e10
% 82.87/12.35 | | | | |
% 82.87/12.35 | | | | | REDUCE: (818), (1872) imply:
% 82.87/12.35 | | | | | (1873) $false
% 82.87/12.35 | | | | |
% 82.87/12.35 | | | | | CLOSE: (1873) is inconsistent.
% 82.87/12.35 | | | | |
% 82.87/12.35 | | | | Case 2:
% 82.87/12.35 | | | | |
% 82.87/12.35 | | | | | (1874) all_22_4 = e13 | all_22_9 = e13
% 82.87/12.35 | | | | |
% 82.87/12.35 | | | | | BETA: splitting (1874) gives:
% 82.87/12.35 | | | | |
% 82.87/12.35 | | | | | Case 1:
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | (1875) all_22_4 = e13
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | COMBINE_EQS: (604), (1875) imply:
% 82.87/12.35 | | | | | | (1876) all_12_8 = e13
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | SIMP: (1876) implies:
% 82.87/12.35 | | | | | | (1877) all_12_8 = e13
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | COMBINE_EQS: (488), (1877) imply:
% 82.87/12.35 | | | | | | (1878) all_26_17 = e13
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | REDUCE: (69), (1877) imply:
% 82.87/12.35 | | | | | | (1879) ~ (all_12_11 = e13)
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | SIMP: (1879) implies:
% 82.87/12.35 | | | | | | (1880) ~ (all_12_11 = e13)
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | REDUCE: (68), (1877) imply:
% 82.87/12.35 | | | | | | (1881) ~ (all_12_12 = e13)
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | REDUCE: (837), (1877) imply:
% 82.87/12.35 | | | | | | (1882) h3(e13) = all_28_41
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | BETA: splitting (311) gives:
% 82.87/12.35 | | | | | |
% 82.87/12.35 | | | | | | Case 1:
% 82.87/12.35 | | | | | | |
% 82.87/12.35 | | | | | | | (1883) all_22_0 = e12
% 82.87/12.35 | | | | | | |
% 82.87/12.35 | | | | | | | COMBINE_EQS: (626), (1883) imply:
% 82.87/12.35 | | | | | | | (1884) e12 = e11
% 82.87/12.35 | | | | | | |
% 82.87/12.35 | | | | | | | REDUCE: (8), (1884) imply:
% 82.87/12.35 | | | | | | | (1885) $false
% 82.87/12.35 | | | | | | |
% 82.87/12.35 | | | | | | | CLOSE: (1885) is inconsistent.
% 82.87/12.35 | | | | | | |
% 82.87/12.35 | | | | | | Case 2:
% 82.87/12.35 | | | | | | |
% 82.87/12.35 | | | | | | | (1886) all_22_1 = e12 | all_22_4 = e12 | all_22_9 = e12
% 82.87/12.35 | | | | | | |
% 82.87/12.35 | | | | | | | BETA: splitting (1865) gives:
% 82.87/12.35 | | | | | | |
% 82.87/12.35 | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | (1887) all_16_3 = e12
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | COMBINE_EQS: (682), (1887) imply:
% 82.87/12.35 | | | | | | | | (1888) all_12_12 = e12
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | COMBINE_EQS: (606), (1888) imply:
% 82.87/12.35 | | | | | | | | (1889) all_22_9 = e12
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | COMBINE_EQS: (484), (1888) imply:
% 82.87/12.35 | | | | | | | | (1890) all_26_18 = e12
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | REDUCE: (61), (1888) imply:
% 82.87/12.35 | | | | | | | | (1891) ~ (all_12_13 = e12)
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | SIMP: (1891) implies:
% 82.87/12.35 | | | | | | | | (1892) ~ (all_12_13 = e12)
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | REDUCE: (60), (1888) imply:
% 82.87/12.35 | | | | | | | | (1893) ~ (all_12_14 = e12)
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | SIMP: (1893) implies:
% 82.87/12.35 | | | | | | | | (1894) ~ (all_12_14 = e12)
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | REDUCE: (59), (1888) imply:
% 82.87/12.35 | | | | | | | | (1895) ~ (all_12_15 = e12)
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | SIMP: (1895) implies:
% 82.87/12.35 | | | | | | | | (1896) ~ (all_12_15 = e12)
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | REDUCE: (1866), (1888) imply:
% 82.87/12.35 | | | | | | | | (1897) ~ (e13 = e12)
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | REDUCE: (838), (1888) imply:
% 82.87/12.35 | | | | | | | | (1898) h3(e12) = all_28_43
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | REDUCE: (889), (1888) imply:
% 82.87/12.35 | | | | | | | | (1899) op1(e13, e12) = all_26_3
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | GROUND_INST: instantiating (29) with e10, all_26_3, e12, e13,
% 82.87/12.35 | | | | | | | | simplifying with (15), (1899) gives:
% 82.87/12.35 | | | | | | | | (1900) all_26_3 = e10
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | GROUND_INST: instantiating (27) with e22, all_28_43, e12,
% 82.87/12.35 | | | | | | | | simplifying with (40), (1898) gives:
% 82.87/12.35 | | | | | | | | (1901) all_28_43 = e22
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_41, e13,
% 82.87/12.35 | | | | | | | | simplifying with (851), (1882) gives:
% 82.87/12.35 | | | | | | | | (1902) all_28_41 = e23
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | BETA: splitting (206) gives:
% 82.87/12.35 | | | | | | | |
% 82.87/12.35 | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | |
% 82.87/12.35 | | | | | | | | | (1903) all_16_9 = e13
% 82.87/12.35 | | | | | | | | |
% 82.87/12.35 | | | | | | | | | COMBINE_EQS: (680), (1903) imply:
% 82.87/12.35 | | | | | | | | | (1904) all_12_6 = e13
% 82.87/12.35 | | | | | | | | |
% 82.87/12.35 | | | | | | | | | REDUCE: (828), (1904) imply:
% 82.87/12.35 | | | | | | | | | (1905) $false
% 82.87/12.35 | | | | | | | | |
% 82.87/12.35 | | | | | | | | | CLOSE: (1905) is inconsistent.
% 82.87/12.35 | | | | | | | | |
% 82.87/12.35 | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | |
% 82.87/12.35 | | | | | | | | | (1906) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 82.87/12.35 | | | | | | | | |
% 82.87/12.35 | | | | | | | | | BETA: splitting (210) gives:
% 82.87/12.35 | | | | | | | | |
% 82.87/12.35 | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | (1907) all_16_4 = e13
% 82.87/12.35 | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | REF_CLOSE: (671), (816), (1907) are inconsistent by sub-proof
% 82.87/12.35 | | | | | | | | | | #53.
% 82.87/12.35 | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | (1908) ~ (all_16_4 = e13)
% 82.87/12.35 | | | | | | | | | | (1909) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 82.87/12.35 | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | BETA: splitting (203) gives:
% 82.87/12.35 | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | (1910) all_16_13 = e13
% 82.87/12.35 | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | COMBINE_EQS: (689), (1910) imply:
% 82.87/12.35 | | | | | | | | | | | (1911) all_12_7 = e13
% 82.87/12.35 | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | REDUCE: (830), (1911) imply:
% 82.87/12.35 | | | | | | | | | | | (1912) $false
% 82.87/12.35 | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | CLOSE: (1912) is inconsistent.
% 82.87/12.35 | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | (1913) ~ (all_16_13 = e13)
% 82.87/12.35 | | | | | | | | | | | (1914) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 82.87/12.35 | | | | | | | | | | | e10
% 82.87/12.35 | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | BETA: splitting (208) gives:
% 82.87/12.35 | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | (1915) all_16_7 = e13
% 82.87/12.35 | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | COMBINE_EQS: (683), (1915) imply:
% 82.87/12.35 | | | | | | | | | | | | (1916) all_12_13 = e13
% 82.87/12.35 | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | REDUCE: (834), (1916) imply:
% 82.87/12.35 | | | | | | | | | | | | (1917) $false
% 82.87/12.35 | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | CLOSE: (1917) is inconsistent.
% 82.87/12.35 | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | (1918) ~ (all_16_7 = e13)
% 82.87/12.35 | | | | | | | | | | | | (1919) all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 82.87/12.35 | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | BETA: splitting (242) gives:
% 82.87/12.35 | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | (1920) all_18_2 = e23
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | COMBINE_EQS: (702), (1920) imply:
% 82.87/12.35 | | | | | | | | | | | | | (1921) all_14_8 = e23
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | COMBINE_EQS: (636), (1921) imply:
% 82.87/12.35 | | | | | | | | | | | | | (1922) all_20_4 = e23
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | COMBINE_EQS: (970), (1921) imply:
% 82.87/12.35 | | | | | | | | | | | | | (1923) all_28_40 = e23
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | REDUCE: (134), (1921) imply:
% 82.87/12.35 | | | | | | | | | | | | | (1924) ~ (all_14_11 = e23)
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | SIMP: (1924) implies:
% 82.87/12.35 | | | | | | | | | | | | | (1925) ~ (all_14_11 = e23)
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | REDUCE: (133), (1921) imply:
% 82.87/12.35 | | | | | | | | | | | | | (1926) ~ (all_14_12 = e23)
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | SIMP: (1926) implies:
% 82.87/12.35 | | | | | | | | | | | | | (1927) ~ (all_14_12 = e23)
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | BETA: splitting (241) gives:
% 82.87/12.35 | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | (1928) all_18_3 = e23
% 82.87/12.35 | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | COMBINE_EQS: (711), (1928) imply:
% 82.87/12.35 | | | | | | | | | | | | | | (1929) all_14_12 = e23
% 82.87/12.35 | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | REDUCE: (1927), (1929) imply:
% 82.87/12.35 | | | | | | | | | | | | | | (1930) $false
% 82.87/12.35 | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | CLOSE: (1930) is inconsistent.
% 82.87/12.35 | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | (1931) ~ (all_18_3 = e23)
% 82.87/12.35 | | | | | | | | | | | | | | (1932) all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 82.87/12.35 | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | BETA: splitting (1932) gives:
% 82.87/12.35 | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | (1933) all_18_3 = e22
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | COMBINE_EQS: (711), (1933) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1934) all_14_12 = e22
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1935) all_20_9 = e22
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | COMBINE_EQS: (543), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1936) all_24_18 = e22
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | COMBINE_EQS: (969), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1937) all_28_42 = e22
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | REDUCE: (126), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1938) ~ (all_14_13 = e22)
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | SIMP: (1938) implies:
% 82.87/12.35 | | | | | | | | | | | | | | | (1939) ~ (all_14_13 = e22)
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | REDUCE: (125), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1940) ~ (all_14_14 = e22)
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | SIMP: (1940) implies:
% 82.87/12.35 | | | | | | | | | | | | | | | (1941) ~ (all_14_14 = e22)
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | REDUCE: (802), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1942) ~ (all_10_1 = e22)
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | SIMP: (1942) implies:
% 82.87/12.35 | | | | | | | | | | | | | | | (1943) ~ (all_10_1 = e22)
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | REDUCE: (771), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1944) ~ (e22 = e21)
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | REDUCE: (784), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1945) ~ (e22 = e20)
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | REDUCE: (883), (1934) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | (1946) op2(e23, e22) = all_24_3
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e20, all_24_3, e22, e23,
% 82.87/12.35 | | | | | | | | | | | | | | | simplifying with (18), (1946) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | (1947) all_24_3 = e20
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 82.87/12.35 | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | (1948) all_22_15 = e10
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (1948) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | (1949) all_12_15 = e10
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | SIMP: (1949) implies:
% 82.87/12.35 | | | | | | | | | | | | | | | | (1950) all_12_15 = e10
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | REDUCE: (62), (1950) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | (1951) ~ (all_12_11 = e10)
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | REDUCE: (57), (1950) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | (1952) ~ (all_12_13 = e10)
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | REDUCE: (892), (1950) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | (1953) op1(e10, e10) = all_26_15
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | REDUCE: (104), (1950) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | (1954) op1(e10, e10) = e10
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | (1955) all_22_9 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1889), (1955) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | (1956) e13 = e12
% 82.87/12.35 | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | REDUCE: (10), (1956) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | (1957) $false
% 82.87/12.35 | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | CLOSE: (1957) is inconsistent.
% 82.87/12.35 | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | (1958) all_22_10 = e13 | all_22_11 = e13 | all_22_15 =
% 82.87/12.35 | | | | | | | | | | | | | | | | | e13
% 82.87/12.35 | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | BETA: splitting (1958) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | (1959) all_22_10 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (834), (1959) are inconsistent by sub-proof
% 82.87/12.35 | | | | | | | | | | | | | | | | | | #36.
% 82.87/12.35 | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | (1960) all_22_11 = e13 | all_22_15 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | BETA: splitting (1960) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | (1961) all_22_11 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (1961) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | (1962) all_12_14 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | SIMP: (1962) implies:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | (1963) all_12_14 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1963) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | (1964) all_26_24 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1963) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | (1965) ~ (all_12_2 = e13)
% 82.87/12.35 | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1963) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | (1966) op1(e11, e13) = all_26_11
% 82.87/12.35 | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (1919) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | (1967) all_16_7 = e12
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (683), (1892), (1967) are inconsistent by
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | (1968) ~ (all_16_7 = e12)
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | (1969) all_16_7 = e11 | all_16_7 = e10
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | (1970) all_22_0 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (1970) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | (1971) e13 = e11
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1971) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | (1972) $false
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1972) is inconsistent.
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | (1973) all_22_2 = e13 | all_22_6 = e13 | all_22_12 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1973) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | (1974) all_22_2 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (608), (816), (1974) are inconsistent by sub-proof
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | #52.
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | (1975) ~ (all_22_2 = e13)
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | (1976) all_22_6 = e13 | all_22_12 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | (1977) all_22_6 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (1965), (1977) are inconsistent by
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | (1978) all_22_12 = e13
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1969) gives:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_16_7 = e11
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1979) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_12_13 = e11
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1980) implies:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_12_13 = e11
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1981) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_22_10 = e11
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (1981) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_26_21 = e11
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (1981) imply:
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | (1984) ~ (all_12_9 = e11)
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (1981) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | (1985) ~ (e13 = e11)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1892), (1981) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | (1986) ~ (e12 = e11)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e10, all_26_15, e10, e10,
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1953), (1954) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_26_15 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_12_2, all_26_11, e13,
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (111), (1966) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_26_11 = all_12_2
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_16_14 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1989) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_12_11 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1990) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_12_11 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1880), (1991) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (1992) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1992) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (1993) ~ (all_16_14 = e13)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_16_14 = e12 | all_16_14 = e11 | all_16_14 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_16_8 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1995) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_12_2 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1996) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_12_2 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1965), (1997) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1998) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) ~ (all_16_8 = e13)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_22_2 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (2001) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_12_1 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2002) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_12_1 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (2003) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_26_19 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (2003) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) ~ (all_12_2 = e12)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2005) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) ~ (all_12_2 = e12)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2003) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) ~ (all_12_9 = e12)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2007) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) ~ (all_12_9 = e12)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2000) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_16_8 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (2009) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_12_2 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2006), (2010) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2011) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) ~ (all_16_8 = e12)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_16_8 = e11 | all_16_8 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2013) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_16_8 = e11
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (2014) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_12_2 = e11
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2015) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2016) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_16_8 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (2017) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_12_2 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (2018) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_26_22 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1988), (2018) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_26_11 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2006), (2018) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) ~ (e12 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2018) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) ~ (e11 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_17 = e11 & all_26_22 = e11 &
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2023) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2024) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2025) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_26_19 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_26_16 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (2027) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) e13 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2028) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) e13 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2004), (2026) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) e13 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2029), (2030) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) e12 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2031) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2032) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_17 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2033) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (751), (2034) are inconsistent by sub-proof
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #33.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2035) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_26_22 = e13
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2019), (2036) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) e13 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2037) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) e13 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2038) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2039) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) (all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_18 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_20 = e12 & all_26_23
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_6 = e11) & ~ (all_26_7 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2041) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_26_22 = e11
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2019), (2042) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) e11 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2043) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) e11 = e10
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (2044) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2045) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2046) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1890), (2047) are inconsistent by sub-proof
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (579), (2008), (2048) are inconsistent by
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2049) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2050) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2051) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_26_20 = e11
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (2052) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) all_12_9 = e11
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2053) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_12_9 = e11
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1984), (2054) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2055) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) (all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_24 = e11
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_27 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1964), (1983), (2056) are inconsistent
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #31.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2057) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (749), (2058) are inconsistent
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #29.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2059) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2060) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) ~ (all_26_11 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2020), (2061) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2062) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_14 = e11) & ~ (all_26_15 = e10) &
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10))
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2063) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) ~ (all_26_15 = e10)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1987), (2064) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) $false
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2065) is inconsistent.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2066) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_22_3 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (475), (2067) are inconsistent by sub-proof
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28.
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_22_5 = e12 | all_22_10 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2068) gives:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_22_5 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (2069) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_12_9 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2070) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_12_9 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (2071) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_26_20 = e12
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2071) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) ~ (all_12_1 = e12)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (2071) imply:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) ~ (all_12_11 = e12)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2074) implies:
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) ~ (all_12_11 = e12)
% 82.87/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_22_2 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (2076) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_12_1 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (2077) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_26_19 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (2077) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) ~ (all_12_2 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2079) implies:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) ~ (all_12_2 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2073), (2077) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) ~ (e12 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (2077) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) ~ (e11 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_22_6 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (2083) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) all_12_2 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2084) implies:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_12_2 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2080), (2085) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) $false
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2086) is inconsistent.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2087) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_22_7 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (616), (2088) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_12_6 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2089) implies:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_12_6 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (2090) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) $false
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2091) is inconsistent.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_22_8 = e10 | all_22_11 = e10
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_22_12 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1978), (2093) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) e13 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2094) implies:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) e13 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2095) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) $false
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2096) is inconsistent.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) ~ (all_22_12 = e12)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) all_22_13 = e12 | all_22_14 = e12 | all_22_15 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2098) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_22_13 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (2099) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_12_7 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2100) implies:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_12_7 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (2101) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) ~ (all_12_6 = e12)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_17 = e11 & all_26_22 = e11 &
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2103) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (818), (2078), (2105) are inconsistent by
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_17 = e13
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10))
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2106) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2078), (2107) are inconsistent by sub-proof
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #49.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (1965), (2108) are inconsistent by
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) (all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_18 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_20 = e12 & all_26_23
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_6 = e11) & ~ (all_26_7 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2109) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1878), (2110) are inconsistent by sub-proof
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2111) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1890), (2112) are inconsistent by sub-proof
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2113) implies:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_26_23 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2114) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_12_6 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2115) implies:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_12_6 = e12
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2102), (2116) imply:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) $false
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2117) is inconsistent.
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13)
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1964), (1983), (2072), (2119) are
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2120) gives:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10))
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (749), (2121) are inconsistent
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #29.
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2122) gives:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2123) implies:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_26_30 = e11
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2124) imply:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) all_12_10 = e11
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (2125) imply:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_22_8 = e11
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (811), (818), (1961), (2092), (2126) are
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_14 = e11) & ~ (all_26_15 = e10) &
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10))
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2127) implies:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) ~ (all_26_15 = e10)
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1987), (2128) imply:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) $false
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2129) is inconsistent.
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_22_14 = e12 | all_22_15 = e12
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_17 = e11 & all_26_22 = e11 &
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~
% 82.87/12.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (818), (2078), (2133) are inconsistent by
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_17 = e13
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10))
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2078), (2135) are inconsistent by sub-proof
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #49.
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2136) implies:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_26_22 = e13
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (2137) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_12_2 = e13
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1965), (2138) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) $false
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2139) is inconsistent.
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) (all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_18 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_20 = e12 & all_26_23
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_6 = e11) & ~ (all_26_7 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2140) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1878), (2141) are inconsistent by sub-proof
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2142) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1890), (2143) are inconsistent by sub-proof
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2144) implies:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_26_23 = e12
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1994) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_16_14 = e12
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2146) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_12_11 = e12
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2075), (2147) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) $false
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2148) is inconsistent.
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) ~ (all_16_14 = e12)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_16_14 = e11 | all_16_14 = e10
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2150) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_16_14 = e11
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2151) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_12_11 = e11
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (2152) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_22_14 = e11
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (2152) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_12_10 = e11)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2130) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_22_14 = e12
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2153), (2155) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) e12 = e11
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2145), (2156) imply:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_26_23 = e11
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2158) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (818), (2159) are inconsistent by sub-proof
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22.
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_17 = e13
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10))
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2160) gives:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 =
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (751), (2161) are inconsistent by sub-proof
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #33.
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (1965), (2162) are inconsistent by
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2140) gives:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1878), (2163) are inconsistent by sub-proof
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2142) gives:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1890), (2164) are inconsistent by sub-proof
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2156) imply:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) $false
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2165) is inconsistent.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2166) gives:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1964), (1983), (2072), (2167) are
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2168) gives:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10))
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (749), (2169) are inconsistent
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #29.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2170) gives:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2171) implies:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_26_30 = e11
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2172) imply:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_12_10 = e11
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2154), (2173) imply:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) $false
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2174) is inconsistent.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_14 = e11) & ~ (all_26_15 = e10) &
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10))
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2175) implies:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) ~ (all_26_15 = e10)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1987), (2176) imply:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) $false
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2177) is inconsistent.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_22_15 = e12
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1948), (2178) imply:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) e12 = e10
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2179) imply:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) $false
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2180) is inconsistent.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_16_14 = e10
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2181) imply:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_12_11 = e10
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1951), (2182) imply:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) $false
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2183) is inconsistent.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13)
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2184) gives:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1964), (1983), (2072), (2185) are
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2186) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10))
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (749), (2187) are inconsistent
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #29.
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2188) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2189) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_26_30 = e11
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2190) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_12_10 = e11
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2191) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_12_10 = e11
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (2192) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_22_8 = e11
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (811), (818), (1961), (2092), (2193) are
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_14 = e11) & ~ (all_26_15 = e10) &
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10))
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2194) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) ~ (all_26_15 = e10)
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1987), (2195) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) $false
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2196) is inconsistent.
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) ~ (all_22_2 = e10)
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (2197) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) ~ (all_12_1 = e10)
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (806), (1909), (2073), (2198) are
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_22_10 = e12
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1982), (2199) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) e12 = e11
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2200) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) e12 = e11
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2201) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) $false
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2202) is inconsistent.
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_16_7 = e10
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (2203) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_12_13 = e10
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2204) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_12_13 = e10
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1952), (2205) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (2206) $false
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2206) is inconsistent.
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | (2207) all_22_15 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1948), (2207) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | (2208) e13 = e10
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2208) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | (2209) $false
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | CLOSE: (2209) is inconsistent.
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | End of split
% 82.87/12.41 | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | Case 2:
% 82.87/12.41 | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | (2210) ~ (all_22_15 = e10)
% 82.87/12.41 | | | | | | | | | | | | | | | | (2211) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 =
% 82.87/12.41 | | | | | | | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 |
% 82.87/12.41 | | | | | | | | | | | | | | | | all_22_14 = e10)
% 82.87/12.41 | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | ALPHA: (2211) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | (2212) all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10
% 82.87/12.41 | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | REDUCE: (632), (2210) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | (2213) ~ (all_12_15 = e10)
% 82.87/12.41 | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | (2214) all_16_15 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2214) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | (2215) all_12_15 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | SIMP: (2215) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | (2216) all_12_15 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | REDUCE: (86), (2216) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | (2217) ~ (all_12_3 = e13)
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | REDUCE: (850), (2216) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | (2218) h3(e13) = all_28_71
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | REDUCE: (892), (2216) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | (2219) op1(e10, e13) = all_26_15
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2220) all_22_6 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (2220) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2221) all_12_2 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | SIMP: (2221) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2222) all_12_2 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (2222) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2223) all_26_22 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | REDUCE: (92), (2222) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2224) ~ (all_12_3 = e13)
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | REDUCE: (843), (2222) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2225) h3(e13) = all_28_53
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | REDUCE: (890), (2222) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2226) op1(e11, e13) = all_26_8
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | REDUCE: (111), (2222) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2227) op1(e11, e13) = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_12_3, all_26_15, e13,
% 82.87/12.41 | | | | | | | | | | | | | | | | | | e10, simplifying with (107), (2219) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2228) all_26_15 = all_12_3
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e13, all_26_8, e13, e11,
% 82.87/12.41 | | | | | | | | | | | | | | | | | | simplifying with (2226), (2227) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2229) all_26_8 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_53, e13,
% 82.87/12.41 | | | | | | | | | | | | | | | | | | simplifying with (851), (2225) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2230) all_28_53 = e23
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_71, all_28_53, e13,
% 82.87/12.41 | | | | | | | | | | | | | | | | | | simplifying with (2218), (2225) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2231) all_28_53 = all_28_71
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2230), (2231) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2232) all_28_71 = e23
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | SIMP: (2232) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | (2233) all_28_71 = e23
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 82.87/12.41 | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | (2234) all_16_12 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2234) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | (2235) all_12_3 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | SIMP: (2235) implies:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | (2236) all_12_3 = e13
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | REDUCE: (2217), (2236) imply:
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | (2237) $false
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.41 | | | | | | | | | | | | | | | | | | | CLOSE: (2237) is inconsistent.
% 82.87/12.41 | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | (2238) all_16_12 = e12 | all_16_12 = e11 | all_16_12 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | e10
% 82.87/12.42 | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | (2239) all_18_15 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (2239) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | (2240) all_10_1 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (958), (2240) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | (2241) all_28_69 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (2240) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | (2242) ~ (all_14_3 = e23)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (2240) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | (2243) op2(e20, e23) = all_24_15
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2244) all_20_6 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (2244) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2245) all_8_2 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | SIMP: (2245) implies:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2246) all_8_2 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (929), (2246) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2247) all_24_22 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (965), (2246) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2248) all_28_52 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (2246) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2249) ~ (all_14_14 = e23)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (941), (2246) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2250) ~ (all_4_1 = e23)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | SIMP: (2250) implies:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2251) ~ (all_4_1 = e23)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (957), (2246) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2252) op2(e21, e23) = all_24_8
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (2246) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2253) op2(e21, e23) = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_3, all_24_15, e23,
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (172), (2243) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2254) all_24_15 = all_14_3
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e23, all_24_8, e23, e21,
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | simplifying with (2252), (2253) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | (2255) all_24_8 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | (2256) all_18_4 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (772), (2256) are inconsistent by sub-proof
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | #65.
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | (2257) ~ (all_18_4 = e23)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | (2258) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | (2259) all_18_13 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2259) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | (2260) all_14_7 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2260) implies:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | (2261) all_14_7 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (2261) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | (2262) $false
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2262) is inconsistent.
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | (2263) all_18_13 = e22 | all_18_13 = e21 | all_18_13 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | e20
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_18_7 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (792), (2264) are inconsistent by sub-proof
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | #91.
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (2265) ~ (all_18_7 = e23)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (2266) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_18_12 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (716), (2267) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_14_3 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2268) implies:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_14_3 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2242), (2269) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2270) $false
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2270) is inconsistent.
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2271) ~ (all_18_12 = e23)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_18_12 = e22 | all_18_12 = e21 | all_18_12 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_16_14 = e13
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2273) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_12_11 = e13
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1880), (2274) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) $false
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2275) is inconsistent.
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_16_14 = e12 | all_16_14 = e11 | all_16_14 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_20_9 = e21
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1935), (2277) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) e22 = e21
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1944), (2278) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) $false
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2279) is inconsistent.
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_20_10 = e21 | all_20_11 = e21 | all_20_15 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_20_1 = e22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (2281) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) e22 = e20
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2282) implies:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) e22 = e20
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1945), (2283) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) $false
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2284) is inconsistent.
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) ~ (all_20_1 = e22)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_20_3 = e22 | all_20_7 = e22 | all_20_13 = e22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2285) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) ~ (e22 = e20)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_20_2 = e22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (2288) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_14_1 = e22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2289) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_24_19 = e22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2289) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) ~ (all_14_9 = e22)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2291) implies:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) ~ (all_14_9 = e22)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2289) imply:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) ~ (e23 = e22)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2293) implies:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) ~ (e23 = e22)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_17 = e21 & all_24_22 = e21 &
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2295) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2296) gives:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 =
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2297) implies:
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) all_24_19 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_24_16 = e23
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (2299) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) e23 = e20
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1945), (2290), (2298), (2300) are inconsistent by
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19.
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) (all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_17 = e23
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_22 = e23 & ~ (all_24_0 = e23) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20))
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2302) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_24_16 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (2303) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) e22 = e20
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1945), (2304) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) $false
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2305) is inconsistent.
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2306) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) ~ (all_24_3 = e20)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1947), (2307) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) $false
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2308) is inconsistent.
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_6 = e21) & ~ (all_24_7 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2309) gives:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2310) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_24_22 = e21
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2247), (2311) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) e23 = e21
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2312) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) e23 = e21
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2313) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) $false
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2314) is inconsistent.
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2315) gives:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2316) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_24_18 = e23
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1936), (2317) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) e23 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1922), (2318) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_20_4 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1927),
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294), (2319) are inconsistent by sub-proof #67.
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_24_20 = e22 & all_24_23 = e22 & ~ (all_24_4 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2320) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_24_20 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (2321) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_14_9 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2322) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_14_9 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2292), (2323) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) $false
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2324) is inconsistent.
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_28 = e23 & ~ (all_24_0 = e23)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2325) gives:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2326) gives:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2327) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) ~ (all_24_8 = e23)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2255), (2328) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) $false
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2329) is inconsistent.
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_24 = e21
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20))
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2330) gives:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 =
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2331) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_24_21 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (2332) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_14_13 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2333) implies:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_14_13 = e22
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1939), (2334) imply:
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) $false
% 82.87/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2335) is inconsistent.
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 =
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2336) implies:
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) ~ (all_24_8 = e23)
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2255), (2337) imply:
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) $false
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2338) is inconsistent.
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.00/12.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2339) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20))
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (743), (744),
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776), (1922), (1927), (2294), (2340) are
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #60.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2341) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2342) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) ~ (all_24_8 = e23)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2255), (2343) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2344) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) ~ (all_24_12 = e23) & ~ (all_24_13 = e22) & ~
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_14 = e21) & ~ (all_24_15 = e20) &
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e20 | (all_24_18 = e20 & all_24_25 =
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20))
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2345) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (all_24_15 = e20)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2254), (2346) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) ~ (all_14_3 = e20)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_20_12 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (2348) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_14_3 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2349) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_14_3 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2347), (2350) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2351) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_20_13 = e20 | all_20_14 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2352) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_20_13 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (2353) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_14_7 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2354) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_14_7 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (2355) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2356) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_20_14 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2357) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_14_11 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2358) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_14_11 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2359) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) ~ (all_4_1 = e20)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2360) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) ~ (all_4_1 = e20)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_20_6 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2244), (2362) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) e23 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (2363) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2364) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2365) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_20_7 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (2366) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_14_6 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (2367) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2368) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_20_8 = e20 | all_20_11 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2369) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_20_8 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (2370) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_4_1 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2371) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_4_1 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2361), (2372) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2373) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) all_20_11 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (650), (2374) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_14_14 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2375) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_14_14 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2376) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) ~ (all_14_13 = e20)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_20_4 = e22
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1927),
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294), (2378) are inconsistent by sub-proof #67.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2379) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_20_5 = e22
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (2380) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_14_9 = e22
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2292), (2381) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2382) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_20_8 = e22 | all_20_14 = e22
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2383) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_20_8 = e22
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_20_4 = e21
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1922), (2385) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) e23 = e21
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2386) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2387) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2388) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) all_20_5 = e21
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (2389) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) all_14_9 = e21
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (2390) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) ~ (all_14_13 = e21)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2391) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) ~ (all_14_13 = e21)
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2266) gives:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_18_7 = e22
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (1939), (2393) are inconsistent by
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_18_7 = e21 | all_18_7 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (2377), (2392), (2394) are inconsistent by
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_20_8 = e21 | all_20_14 = e21
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (767), (1944), (2357), (2384), (2395) are
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_20_14 = e22
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2357), (2396) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) e22 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2397) implies:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) e22 = e20
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1945), (2398) imply:
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) $false
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2399) is inconsistent.
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) ~ (all_20_2 = e22)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_20_3 = e22 | all_20_5 = e22 | all_20_10 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (2400) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) ~ (all_14_1 = e22)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2258) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_18_4 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (2402), (2403) are inconsistent by
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) ~ (all_18_4 = e22)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_18_4 = e21 | all_18_4 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2405) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) all_18_4 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (762), (2406) are inconsistent by sub-proof
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #80.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_18_4 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (2407) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_14_1 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2408) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_14_1 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (901), (2409) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) all_28_44 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (2409) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) ~ (all_14_3 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2411) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) ~ (all_14_3 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2409) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) ~ (all_14_9 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2413) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) ~ (all_14_9 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2409) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) ~ (all_14_13 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2415) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) ~ (all_14_13 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2266) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_18_7 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (1939), (2417) are inconsistent by
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) ~ (all_18_7 = e22)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_18_7 = e21 | all_18_7 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1474) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) all_20_9 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1935), (1945), (2420) are inconsistent by
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_20_10 = e20 | all_20_11 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2421) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_20_10 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (2422) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_14_13 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2416), (2423) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) $false
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2424) is inconsistent.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_20_11 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (650), (2425) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) all_14_14 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (962), (2426) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_28_58 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2426) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) ~ (all_4_1 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2428) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) ~ (all_4_1 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_20_4 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1922), (2430) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) e23 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (2431) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) $false
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2432) is inconsistent.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) ~ (all_20_4 = e20)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2434) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_20_5 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (2435) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_14_9 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2414), (2436) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) $false
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2437) is inconsistent.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) all_20_8 = e20 | all_20_14 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2272) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_18_12 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (716), (2439) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_14_3 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (2440) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_20_12 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (961), (2440) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) all_28_60 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2440) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) ~ (all_14_7 = e22)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2443) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) ~ (all_14_7 = e22)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2242), (2440) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) ~ (e23 = e22)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2445) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) ~ (e23 = e22)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2280) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_20_10 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (2447) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_14_13 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2448) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_14_13 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (967), (2449) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_28_50 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (2449) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) ~ (all_14_9 = e21)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (2449) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) ~ (e23 = e21)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1939), (2449) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) ~ (e22 = e21)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2286) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_20_3 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (740), (2454) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) e23 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1922), (2455) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) all_20_4 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1927),
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446), (2456) are inconsistent by sub-proof #67.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_20_7 = e22 | all_20_13 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2457) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_20_7 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (2458) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_14_6 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (964), (2459) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_28_54 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) all_18_10 = e23
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2461) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_4_1 = e23
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2462) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_4_1 = e23
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2251), (2463) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) $false
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2464) is inconsistent.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2438) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_20_8 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (2466) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_4_1 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2429), (2467) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) $false
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2468) is inconsistent.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_20_14 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2469) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_14_11 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2470) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_14_11 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (959), (2471) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_28_66 = e20
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_20_12 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2441), (2473) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) e22 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2474) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) e22 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1944), (2475) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) $false
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2476) is inconsistent.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) ~ (all_20_12 = e21)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_20_13 = e21 | all_20_14 = e21 | all_20_15 =
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) all_20_4 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1922), (2479) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) e23 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2480) implies:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) e23 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2481) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) $false
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2482) is inconsistent.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) ~ (all_20_4 = e21)
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2484) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_20_5 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (2485) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) all_14_9 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2451), (2486) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) $false
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2487) is inconsistent.
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_20_8 = e21 | all_20_14 = e21
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2401) gives:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) all_20_3 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (740), (2489) imply:
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) e23 = e22
% 83.00/12.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1922),
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927), (2446), (2490) are inconsistent by
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_20_5 = e22 | all_20_10 = e22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2491) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_20_5 = e22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (2492) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_14_9 = e22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (968), (2493) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_28_48 = e22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2478) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_20_13 = e21
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (2495) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_14_7 = e21
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (960), (2496) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_28_63 = e21
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2465) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_18_10 = e22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2498) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_4_1 = e22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2499) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_4_1 = e22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (2500) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_20_8 = e22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (767), (1944), (2469), (2488), (2501) are
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_18_10 = e21 | all_18_10 = e20
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2502) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_18_10 = e21
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2503) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_4_1 = e21
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2504) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_4_1 = e21
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (963), (2505) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_28_56 = e21
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_22_1 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (2507) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) e11 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (2508) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2509) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) ~ (all_22_1 = e11)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_22_3 = e11 | all_22_7 = e11 | all_22_13 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (2510) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) ~ (e11 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_22_0 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (626), (811), (2513) are inconsistent by sub-proof
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #51.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_22_2 = e10 | all_22_6 = e10 | all_22_12 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_22_0 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (2515) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) e12 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2516) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2517) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_22_2 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (608), (806), (2519) are inconsistent by sub-proof
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) ~ (all_22_2 = e11)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_22_2 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (2522) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_12_1 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2523) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_12_1 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (2524) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) all_26_19 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (2524) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) ~ (all_12_3 = e12)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2526) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) ~ (all_12_3 = e12)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2524) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) ~ (all_12_9 = e12)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2528) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) ~ (all_12_9 = e12)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2238) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_16_12 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2530) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) all_12_3 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2527), (2531) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2532) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) ~ (all_16_12 = e12)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_16_12 = e11 | all_16_12 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2534) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_16_12 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2535) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_12_3 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (2536) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2537) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_16_12 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2538) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_12_3 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (2539) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_26_25 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2228), (2539) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) all_26_15 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2527), (2539) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) ~ (e12 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_17 = e11 & all_26_22 = e11 &
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2543) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2544) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2545) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_26_19 = e13
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_26_16 = e13
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (2547) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) e13 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2525), (2546) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) e13 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (619), (2220), (2518), (2522), (2527),
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548), (2549) are inconsistent by sub-proof #13.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_17 = e13
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2550) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2551) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) all_26_16 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (2552) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) e12 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2522), (2553) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_22_2 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (619), (2220), (2518), (2527), (2554)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #14.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2555) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) ~ (all_26_3 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1900), (2556) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2557) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) (all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_18 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_20 = e12 & all_26_23
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_6 = e11) & ~ (all_26_7 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2558) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2559) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_26_22 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2223), (2560) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) e13 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2561) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) e13 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2562) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2563) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2564) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2565) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_26_25 = e13
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_26_18 = e13
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1890), (2567) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) e13 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2568) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) e13 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2540), (2566) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) e13 = e10
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (619), (2220), (2518), (2522), (2527),
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569), (2570) are inconsistent by sub-proof #13.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2571) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) all_26_20 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (2572) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_12_9 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2529), (2573) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2574) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2575) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2577) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) ~ (all_26_8 = e13)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2229), (2578) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2579) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) (all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_24 = e11
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_27 = e11 & ~ (all_26_8 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2580) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2581) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_26_21 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (2582) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_12_13 = e12
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1892), (2583) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2584) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_26_24 = e11 & all_26_27 = e11 & ~ (all_26_8 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2585) implies:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) ~ (all_26_8 = e13)
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2229), (2586) imply:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) $false
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2587) is inconsistent.
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2588) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10))
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2589) gives:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.00/12.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (567), (2590) are inconsistent by sub-proof
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #30.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_26_29 = e12 & ~ (all_26_4 = e13) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (749), (2591) are inconsistent by sub-proof
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #44.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2592) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2593) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) ~ (all_26_8 = e13)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2229), (2594) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2595) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_14 = e11) & ~ (all_26_15 = e10) &
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10))
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2596) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) ~ (all_26_15 = e10)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2541), (2597) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2598) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2599) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_22_3 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (475), (2600) are inconsistent by sub-proof
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_22_5 = e12 | all_22_10 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2601) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_22_5 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (2602) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_12_9 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2603) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_12_9 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2604) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) ~ (all_12_1 = e12)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (2604) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) ~ (all_12_11 = e12)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2606) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) ~ (all_12_11 = e12)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (2604) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) h3(e12) = all_28_49
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2521) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_22_3 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (475), (2609) are inconsistent by sub-proof
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #12.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) ~ (all_22_3 = e11)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_22_5 = e11 | all_22_10 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) ~ (all_26_23 = e11)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (458), (2612) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) ~ (all_12_6 = e11)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1906) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_16_9 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (2614) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) all_12_6 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (616), (2615) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_22_7 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (2615) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) h3(e12) = all_28_55
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2511) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_22_3 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (475), (2618) are inconsistent by sub-proof
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #12.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_22_7 = e11 | all_22_13 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2619) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_22_7 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2616), (2620) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) e12 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2621) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) e12 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2622) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2623) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_22_13 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (2624) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_12_7 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2625) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_12_7 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (2626) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) ~ (all_12_11 = e11)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2627) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) ~ (all_12_11 = e11)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (2626) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) ~ (e13 = e11)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (848), (2626) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) h3(e11) = all_28_65
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_22_4 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1875), (2631) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) e13 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2632) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2633) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_22_5 = e11 | all_22_8 = e11 | all_22_14 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2276) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_16_14 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2635) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_12_11 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2607), (2636) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2637) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_16_14 = e11 | all_16_14 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_22_12 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (2639) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_12_3 = e12
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (2640) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) h3(e12) = all_28_62
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2514) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_22_2 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (2642) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_12_1 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2643) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) all_12_1 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (2644) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) ~ (all_12_13 = e10)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2645) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) ~ (all_12_13 = e10)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2605), (2644) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) ~ (e12 = e10)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (2644) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) h3(e10) = all_28_45
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2212) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_22_9 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1889), (2649) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) e12 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2650) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2651) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_22_10 = e10 | all_22_11 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2652) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) all_22_10 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (2653) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) all_12_13 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2654) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) all_12_13 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2646), (2655) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2656) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_22_11 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (2657) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) all_12_14 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2658) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) h3(e10) = all_28_59
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2638) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_16_14 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2660) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_12_11 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2628), (2661) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2662) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_16_14 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2663) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_12_11 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (2664) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) all_22_14 = e10
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (2664) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) h3(e10) = all_28_68
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2634) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) all_22_5 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2602), (2667) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) e12 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2668) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2669) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) ~ (all_22_5 = e11)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_22_8 = e11 | all_22_14 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2611) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_22_5 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2602), (2672) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) e12 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2673) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2674) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_22_10 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (2675) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_12_13 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2676) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) all_12_13 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2677) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) h3(e11) = all_28_51
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2671) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_22_8 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (2679) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_12_10 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2680) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_12_10 = e11
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (845), (2681) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) h3(e11) = all_28_57
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e20, all_28_59, e10,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (944), (2659) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_28_59 = e20
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_59, all_28_45, e10,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2648), (2659) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_28_45 = all_28_59
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_68, all_28_45, e10,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2648), (2666) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) all_28_45 = all_28_68
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e21, all_28_51, e11,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (943), (2678) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) all_28_51 = e21
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_57, all_28_51, e11,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2678), (2682) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_28_51 = all_28_57
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_65, all_28_51, e11,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2630), (2678) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_28_51 = all_28_65
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_62, all_28_55, e12,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2617), (2641) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_28_55 = all_28_62
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_28_49, e12,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (2608) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_28_49 = e22
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_55, all_28_49, e12,
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2608), (2617) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_28_49 = all_28_55
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2684), (2685) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_28_59 = all_28_68
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2692) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) all_28_59 = all_28_68
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2690), (2691) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_28_55 = e22
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2694) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_28_55 = e22
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2686), (2687) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_28_57 = e21
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2687), (2688) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_28_57 = all_28_65
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2689), (2695) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) all_28_62 = e22
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2698) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_28_62 = e22
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2696), (2697) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_28_65 = e21
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2700) implies:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) all_28_65 = e21
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2683), (2693) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_28_68 = e20
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2685), (2702) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_28_45 = e20
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) ~ (all_28_36 = all_28_37)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (933), (2704) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2705) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) ~ (all_28_38 = all_28_39) | ~ (all_28_40 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_44 = all_28_45) | ~ (all_28_46 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_50 = all_28_51) | ~ (all_28_52 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2706) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) ~ (all_28_38 = all_28_39)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (906), (932), (2707) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2708) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) ~ (all_28_40 = all_28_41) | ~ (all_28_42 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_43) | ~ (all_28_44 = all_28_45) | ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_46 = all_28_47) | ~ (all_28_48 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_52 = all_28_53) | ~ (all_28_54 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2709) gives:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) ~ (all_28_40 = all_28_41)
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1902), (1923), (2710) imply:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) $false
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2711) is inconsistent.
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_28_42 = all_28_43) | ~ (all_28_44 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_48 = all_28_49) | ~ (all_28_50 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_51) | ~ (all_28_52 = all_28_53) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_54 = all_28_55) | ~ (all_28_56 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2712) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) ~ (all_28_42 = all_28_43)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1901), (1937), (2713) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2714) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) ~ (all_28_44 = all_28_45) | ~ (all_28_46 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_50 = all_28_51) | ~ (all_28_52 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2715) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) ~ (all_28_44 = all_28_45)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2410), (2703), (2716) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2717) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) ~ (all_28_46 = all_28_47) | ~ (all_28_48 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_52 = all_28_53) | ~ (all_28_54 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2718) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) ~ (all_28_46 = all_28_47)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (915), (2719) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2720) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) ~ (all_28_48 = all_28_49) | ~ (all_28_50 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_51) | ~ (all_28_52 = all_28_53) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_54 = all_28_55) | ~ (all_28_56 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2721) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) ~ (all_28_48 = all_28_49)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2494), (2690), (2722) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2723) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) ~ (all_28_50 = all_28_51) | ~ (all_28_52 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2724) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) ~ (all_28_50 = all_28_51)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2450), (2686), (2725) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2726) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) ~ (all_28_52 = all_28_53) | ~ (all_28_54 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2727) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) ~ (all_28_52 = all_28_53)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2230), (2248), (2728) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2729) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) ~ (all_28_54 = all_28_55) | ~ (all_28_56 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2730) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) ~ (all_28_54 = all_28_55)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2460), (2695), (2731) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2732) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) ~ (all_28_56 = all_28_57) | ~ (all_28_58 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2733) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) ~ (all_28_56 = all_28_57)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2506), (2696), (2734) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2735) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) ~ (all_28_58 = all_28_59) | ~ (all_28_60 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2736) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) ~ (all_28_58 = all_28_59)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2427), (2683), (2737) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2738) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) ~ (all_28_60 = all_28_62) | ~ (all_28_63 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2739) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) ~ (all_28_60 = all_28_62)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2442), (2699), (2740) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2741) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) ~ (all_28_63 = all_28_65) | ~ (all_28_66 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2742) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) ~ (all_28_63 = all_28_65)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (2701), (2743) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2744) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) ~ (all_28_66 = all_28_68) | ~ (all_28_69 =
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2745) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) ~ (all_28_66 = all_28_68)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2472), (2702), (2746) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2747) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) &
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2748) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) ~ (all_28_69 = all_28_71)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2233), (2241), (2749) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2750) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) ( ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2751) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) ( ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2752) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2753) implies:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) ~ (all_28_61 = e23)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (2754) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2755) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) ~ (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2756) implies:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) ~ (all_28_64 = e22)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (2757) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2758) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) ( ~ (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2759) gives:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) ~ (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2760) implies:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) ~ (all_28_67 = e21)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (931), (2761) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2762) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) ~ (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2763) implies:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) ~ (all_28_70 = e20)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (2764) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2765) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_22_14 = e11
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2665), (2766) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) e11 = e10
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (2767) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) $false
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2768) is inconsistent.
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) ~ (all_22_2 = e10)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (2769) imply:
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) ~ (all_12_1 = e10)
% 83.00/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (806), (1909), (2605), (2770) are
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) ~ (all_22_12 = e12)
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (2771) imply:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) ~ (all_12_3 = e12)
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_22_2 = e10
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (619), (2220), (2518), (2772), (2773)
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #14.
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) ~ (all_22_2 = e10)
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (2774) imply:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) ~ (all_12_1 = e10)
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (806), (1909), (2605), (2775) are
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_16_9 = e11 | all_16_9 = e10
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (680), (820), (2613), (2776) are inconsistent by
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_26_23 = e11
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2777) imply:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_12_6 = e11
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2778) implies:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_12_6 = e11
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (2779) imply:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) ~ (all_12_7 = e11)
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2780) implies:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) ~ (all_12_7 = e11)
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1909) gives:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_16_4 = e12
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (2605), (2782) are inconsistent by
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) ~ (all_16_4 = e12)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_16_4 = e11 | all_16_4 = e10
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2784) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_16_4 = e11
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2785) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_12_1 = e11
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (2786) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2787) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_16_4 = e10
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2788) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_12_1 = e10
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (2789) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_22_2 = e10
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2605), (2789) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) ~ (e12 = e10)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2238) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_16_12 = e12
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2792) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_12_3 = e12
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (2793) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) ~ (all_12_7 = e12)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2794) implies:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) ~ (all_12_7 = e12)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1914) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_16_13 = e12
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (2796) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_12_7 = e12
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2795), (2797) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2798) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_16_13 = e11 | all_16_13 = e10
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (689), (822), (2781), (2799) are inconsistent by
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #38.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) ~ (all_16_12 = e12)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (2800) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) ~ (all_12_3 = e12)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (619), (2220), (2518), (2790), (2801)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #14.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_22_10 = e12
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (2802) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_12_13 = e12
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1892), (2803) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2804) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_18_10 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2805) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_4_1 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2806) implies:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_4_1 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2429), (2807) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2808) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) ~ (all_20_13 = e21)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (2809) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) ~ (all_14_7 = e21)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (717), (780), (2263), (2444), (2810) are
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #75.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_20_10 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1944), (2447), (2811) are inconsistent by
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_20_13 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (2812) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_14_7 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2813) implies:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_14_7 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2444), (2814) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2815) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) ~ (all_20_10 = e21)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (644), (2816) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) ~ (all_14_13 = e21)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (2416), (2419), (2817) are inconsistent by
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_18_12 = e21 | all_18_12 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (716), (766), (2412), (2818) are inconsistent by
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | (2819) ~ (all_20_6 = e23)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (2819) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | (2820) ~ (all_8_2 = e23)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | (2821) all_20_0 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (2821) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | (2822) e23 = e21
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2822) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | (2823) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2823) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | (2824) all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2824) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2825) all_20_2 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (2825) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2826) all_14_1 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2826) implies:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2827) all_14_1 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2827) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2828) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2828) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2829) all_20_6 = e23 | all_20_12 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2829) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_20_6 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (2830) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_8_2 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2831) implies:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_8_2 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2820), (2832) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2833) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2833) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_20_12 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (2834) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_14_3 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2242), (2835) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2836) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2836) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | (2837) ~ (all_18_15 = e23)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | (2838) all_18_15 = e22 | all_18_15 = e21 | all_18_15 =
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (2837) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | (2839) ~ (all_10_1 = e23)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | (2840) all_20_12 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (2840) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | (2841) all_14_3 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (2841) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | (2842) ~ (all_10_1 = e23)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2838) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | (2843) all_18_15 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (2843) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | (2844) all_10_1 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1943), (2844) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | (2845) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2845) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | (2846) all_18_15 = e21 | all_18_15 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2846) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2847) all_18_15 = e21
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (2847) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2848) all_10_1 = e21
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (2848) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2849) all_20_15 = e21
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (742), (2848) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2850) all_24_31 = e21
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (2848) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2851) ~ (all_14_7 = e21)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2848) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2852) ~ (all_14_11 = e21)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (2848) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2853) ~ (all_14_13 = e21)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2839), (2848) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | (2854) ~ (e23 = e21)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_18_13 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2855) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_14_7 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (2856) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2857) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2857) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2858) ~ (all_18_13 = e23)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_18_13 = e22 | all_18_13 = e21 | all_18_13 =
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2859) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_18_13 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2860) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_14_7 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (2861) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_24_26 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2861) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | (2863) ~ (all_14_6 = e22)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2861) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | (2864) ~ (all_14_11 = e22)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2864) implies:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | (2865) ~ (all_14_11 = e22)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (2861) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | (2866) ~ (e23 = e22)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2866) implies:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | (2867) ~ (e23 = e22)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_18_9 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2868) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_14_6 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (2869) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2870) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2871) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_18_9 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2872) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_14_6 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2863), (2873) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2874) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) ~ (all_18_9 = e22)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) all_18_9 = e21 | all_18_9 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_20_9 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1922),
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927), (1935), (2867), (2877) are inconsistent by
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_20_10 = e23 | all_20_11 = e23 | all_20_15 =
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_18_14 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (2879) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_14_11 = e23
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1925), (2880) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2881) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) ~ (all_18_14 = e23)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_18_14 = e22 | all_18_14 = e21 | all_18_14 =
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2883) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_18_14 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (2884) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_14_11 = e22
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2865), (2885) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2886) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) ~ (all_18_14 = e22)
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_18_14 = e21 | all_18_14 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2888) gives:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_18_14 = e21
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (2889) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_14_11 = e21
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2852), (2890) imply:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) $false
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2891) is inconsistent.
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_18_14 = e20
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (2892) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_14_11 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2893) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) ~ (all_4_1 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2894) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) ~ (all_4_1 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2865), (2893) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) ~ (e22 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2878) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_20_10 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (2897) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_14_13 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (2898) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) $false
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2899) is inconsistent.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_20_11 = e23 | all_20_15 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2900) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_20_11 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (650), (2901) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_14_14 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2902) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_24_24 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (2902) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) ~ (all_8_2 = e23)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2904) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) ~ (all_8_2 = e23)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2902) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) ~ (all_4_1 = e23)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2906) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) ~ (all_4_1 = e23)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (2902) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) op2(e21, e23) = all_24_11
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1474) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_20_9 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1935), (1945), (2909) are inconsistent by
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_20_10 = e20 | all_20_11 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2910) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_20_10 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (2911) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) all_14_13 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2912) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_14_13 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (2913) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_24_21 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2913) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) ~ (all_14_1 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2853), (2913) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) ~ (e21 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_18_4 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (772), (2917) are inconsistent by sub-proof
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #65.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) ~ (all_18_4 = e23)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2919) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_18_4 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (2920) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_14_1 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2921) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_14_1 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (2922) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_20_2 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2922) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_24_19 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (934), (2922) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) ~ (all_8_2 = e22)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2925) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) ~ (all_8_2 = e22)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_20_6 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (2927) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_8_2 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2928) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_8_2 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2926), (2929) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) $false
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2930) is inconsistent.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_20_7 = e22 | all_20_8 = e22 | all_20_11 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2931) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) all_20_7 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (2932) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_14_6 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2863), (2933) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) $false
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2934) is inconsistent.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_20_8 = e22 | all_20_11 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_20_0 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (2936) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) e21 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2937) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) e21 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (2938) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) $false
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2939) is inconsistent.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2876) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) all_18_9 = e21
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2941) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_14_6 = e21
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (2942) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_24_23 = e21
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (2942) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) ~ (all_4_1 = e21)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2944) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) ~ (all_4_1 = e21)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2935) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) all_20_8 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (2946) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) all_4_1 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (2947) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) all_24_30 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (2947) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) ~ (all_14_9 = e22)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_17 = e21 & all_24_22 = e21 &
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2950) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2951) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2952) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_24_19 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) all_24_16 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (2954) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) e23 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2924), (2953) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) e23 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2955), (2956) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) e22 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (339), (743), (744), (1944), (1945), (2850),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867), (2943), (2948), (2957) are inconsistent by
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) (all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_17 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_22 = e23 & ~ (all_24_0 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2958) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2959) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_24_16 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (2960) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) e22 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2948), (2961) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_24_30 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (339), (743), (744), (1944), (1945), (2850),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867), (2943), (2962) are inconsistent by
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2963) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) all_24_22 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (929), (2964) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_8_2 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2965) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) all_8_2 = e23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2905), (2966) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) $false
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2967) is inconsistent.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_6 = e21) & ~ (all_24_7 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2968) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2969) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) ~ (all_24_11 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (339), (743), (744), (776), (879), (928),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944), (1945), (2840), (2850), (2867), (2908),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923), (2940), (2943), (2948), (2970) are
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1922),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927), (1936), (1944), (2867), (2943), (2971) are
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #56.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_28 = e23 & ~ (all_24_0 = e23)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2972) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2973) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2974) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) all_24_20 = e21
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) ~ (all_24_11 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (2975) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_14_9 = e21
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2977) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_14_9 = e21
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2949), (2978) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) ~ (e22 = e21)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (339), (743), (744), (776), (879), (928),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944), (1945), (2840), (2850), (2867), (2908),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923), (2940), (2943), (2948), (2976) are
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_24 = e21
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2980) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2981) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_24_21 = e22
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2914), (2982) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) e22 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2948), (2983) imply:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) all_24_30 = e20
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (339), (743), (744), (1944), (1945), (2850),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867), (2943), (2984) are inconsistent by
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2985) implies:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) ~ (all_24_11 = e20)
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (339), (743), (744), (776), (879), (928),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944), (1945), (2840), (2850), (2867), (2908),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923), (2940), (2943), (2948), (2986) are
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2987) gives:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20))
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (743), (744),
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776), (1922), (1927), (2867), (2988) are
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #60.
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2989) gives:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2990) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_24_30 = e21
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2948), (2991) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) e22 = e21
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2992) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) e22 = e21
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1944), (2993) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) $false
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2994) is inconsistent.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) ~ (all_24_12 = e23) & ~ (all_24_13 = e22) & ~
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_14 = e21) & ~ (all_24_15 = e20) &
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e20 | (all_24_18 = e20 & all_24_25 =
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20))
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2995) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_24_31 = e20 | (all_24_18 = e20 & all_24_25 =
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2996) gives:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_24_31 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (2997) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) e21 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2998) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) e21 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (2999) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) $false
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3000) is inconsistent.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) (all_24_18 = e20 & all_24_25 = e20) | (all_24_21 =
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e20) | (all_24_24 = e20 &
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e20)
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3001) gives:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_24_18 = e20 & all_24_25 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3002) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_24_18 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1936), (3003) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) e22 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2948), (3004) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_24_30 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (339), (743), (744), (1944), (1945), (2850),
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867), (2943), (3005) are inconsistent by
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) (all_24_21 = e20 & all_24_26 = e20) | (all_24_24 =
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_27 = e20)
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3006) gives:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_24_21 = e20 & all_24_26 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3007) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_24_26 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2862), (3008) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) e22 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (339), (743), (744), (1944), (1945), (2850),
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867), (2943), (2948), (3009) are inconsistent by
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_24_24 = e20 & all_24_27 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3010) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_24_24 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2903), (3011) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) e23 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3012) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) e23 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (3013) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) $false
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3014) is inconsistent.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_20_11 = e22
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2901), (3015) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) e23 = e22
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1922), (3016) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) all_20_4 = e22
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (1927),
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867), (3017) are inconsistent by sub-proof #67.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_18_9 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (3018) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_14_6 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (3019) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) $false
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3020) is inconsistent.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_18_4 = e21 | all_18_4 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (762), (2915), (3021) are inconsistent by
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_20_11 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2901), (3022) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) e23 = e20
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (3023) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) $false
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3024) is inconsistent.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_20_15 = e23
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2849), (3025) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) e23 = e21
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3026) implies:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) e23 = e21
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (3027) imply:
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) $false
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3028) is inconsistent.
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.41/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3029) all_18_13 = e21 | all_18_13 = e20
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (717), (780), (2851), (3029) are inconsistent by
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #76.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3030) all_18_15 = e20
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (3030) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3031) all_10_1 = e20
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1475), (3031) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3032) $false
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3032) is inconsistent.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | (3033) all_20_13 = e23 | all_20_14 = e23 | all_20_15 =
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3033) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3034) all_20_13 = e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (3034) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3035) all_14_7 = e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3035) implies:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3036) all_14_7 = e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (3036) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3037) $false
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3037) is inconsistent.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3038) all_20_14 = e23 | all_20_15 = e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3039) all_20_14 = e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (1925), (3039) are inconsistent by
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3040) all_20_15 = e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (3040) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3041) all_10_1 = e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3041) implies:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3042) all_10_1 = e23
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2839), (3042) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3043) $false
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3043) is inconsistent.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | (3044) ~ (all_22_6 = e13)
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | REDUCE: (584), (3044) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | (3045) ~ (all_12_2 = e13)
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3046) all_22_0 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (3046) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3047) e13 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3047) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3048) $false
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | CLOSE: (3048) is inconsistent.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3049) all_22_2 = e13 | all_22_6 = e13 | all_22_12 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (3049) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | (3050) all_22_2 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (608), (816), (3050) are inconsistent by sub-proof
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | #52.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | (3051) all_22_6 = e13 | all_22_12 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3051) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | (3052) all_22_6 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (3045), (3052) are inconsistent by
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | (3053) all_22_12 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (619), (2217), (3053) are inconsistent by
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | End of split
% 83.51/12.51 | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | (3054) ~ (all_16_15 = e13)
% 83.51/12.51 | | | | | | | | | | | | | | | | | (3055) all_16_15 = e12 | all_16_15 = e11 | all_16_15 =
% 83.51/12.51 | | | | | | | | | | | | | | | | | e10
% 83.51/12.51 | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | REDUCE: (693), (3054) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | (3056) ~ (all_12_15 = e13)
% 83.51/12.51 | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | BETA: splitting (3055) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | (3057) all_16_15 = e12
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (3057) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | (3058) all_12_15 = e12
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | SIMP: (3058) implies:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | (3059) all_12_15 = e12
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | REDUCE: (1896), (3059) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | (3060) $false
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | CLOSE: (3060) is inconsistent.
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | (3061) all_16_15 = e11 | all_16_15 = e10
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | BETA: splitting (3061) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3062) all_16_15 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (3062) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3063) all_12_15 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | SIMP: (3063) implies:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3064) all_12_15 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (3064) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3065) all_22_15 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (3064) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3066) all_26_31 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3064) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3067) ~ (all_12_7 = e11)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3064) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3068) ~ (all_12_11 = e11)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | REDUCE: (57), (3064) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3069) ~ (all_12_13 = e11)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | REDUCE: (56), (3064) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3070) ~ (all_12_14 = e11)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3064) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | (3071) ~ (e13 = e11)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | (3072) all_22_9 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1889), (3072) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | (3073) e13 = e12
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (3073) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | (3074) $false
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | CLOSE: (3074) is inconsistent.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | (3075) all_22_10 = e13 | all_22_11 = e13 | all_22_15 =
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3075) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | (3076) all_22_10 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (834), (3076) are inconsistent by sub-proof
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | #36.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | (3077) all_22_11 = e13 | all_22_15 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3077) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3078) all_22_11 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (3078) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3079) all_12_14 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3079) implies:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3080) all_12_14 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (3080) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3081) all_26_24 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3080) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3082) ~ (all_12_2 = e13)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (3080) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3083) ~ (all_12_10 = e13)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (3080) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | (3084) op1(e11, e13) = all_26_11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1919) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3085) all_16_7 = e12
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (683), (1892), (3085) are inconsistent by
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3086) ~ (all_16_7 = e12)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | (3087) all_16_7 = e11 | all_16_7 = e10
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_22_2 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (608), (806), (3088) are inconsistent by sub-proof
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | #15.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | (3089) ~ (all_22_2 = e11)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | (3090) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3090) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_22_3 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (475), (3091) are inconsistent by sub-proof
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | #12.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_22_5 = e11 | all_22_10 = e11
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1914) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_16_13 = e12
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (3093) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_12_7 = e12
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (3094) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) all_26_26 = e12
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (3094) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) ~ (all_12_11 = e12)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3096) implies:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) ~ (all_12_11 = e12)
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) all_16_14 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (3098) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_12_11 = e13
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1880), (3099) imply:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) $false
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3100) is inconsistent.
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_16_14 = e12 | all_16_14 = e11 | all_16_14 =
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3101) gives:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_16_14 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (3102) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_12_11 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3097), (3103) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) $false
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3104) is inconsistent.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_16_14 = e11 | all_16_14 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3105) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_16_14 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (3106) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_12_11 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3068), (3107) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) $false
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3108) is inconsistent.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_16_14 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (3109) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_12_11 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (3110) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) all_22_14 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3087) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_16_7 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (3112) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_12_13 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3069), (3113) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) $false
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3114) is inconsistent.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_16_7 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (3115) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_12_13 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (3116) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_22_10 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (3116) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_26_21 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3116) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) ~ (all_12_1 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (3116) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) ~ (all_12_9 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1892), (3116) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) ~ (e12 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_22_6 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (3122) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_12_2 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3123) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) all_12_2 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (3124) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_26_22 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (3124) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) ~ (all_12_10 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3126) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) ~ (all_12_10 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (3124) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) ~ (e11 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3124) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) op1(e11, e13) = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3092) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_22_5 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (3130) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) all_12_9 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3131) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) all_12_9 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (3132) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) all_26_20 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (3132) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) ~ (all_12_10 = e11)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3134) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) ~ (all_12_10 = e11)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_22_4 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1875), (3136) are inconsistent by sub-proof
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3137) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_22_5 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3130), (3138) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) e12 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3139) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) $false
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3140) is inconsistent.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_22_8 = e12 | all_22_14 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3141) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) all_22_8 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (3142) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) all_12_10 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3143) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) all_12_10 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (3144) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) all_26_30 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_17 = e11 & all_26_22 = e11 &
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_10 = e11) & ~ (all_26_11 = e10)) |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3146) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) (all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_16 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_19 = e12 & ~ (all_26_4 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_17 = e13 & all_26_22
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_2 = e11) & ~ (all_26_3 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3147) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (818), (3148) are inconsistent by sub-proof
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) (all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_17 = e13
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_22 = e13 & ~ (all_26_0 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10))
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3149) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (751), (3150) are inconsistent by sub-proof
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #33.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3151) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_26_22 = e13
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3125), (3152) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) e13 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (3153) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) $false
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3154) is inconsistent.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) (all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_18 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_20 = e12 & all_26_23
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_6 = e11) & ~ (all_26_7 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3155) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3156) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_26_22 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3125), (3157) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) e11 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (3158) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) $false
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3159) is inconsistent.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) (all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_1 = e12) & ~ (all_26_2 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_3 = e10)) | (all_26_20 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_23 = e12 & ~ (all_26_4 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10))
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3160) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_1 = e12) & ~ (all_26_2 = e11)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_3 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1890), (3161) are inconsistent by sub-proof
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3162) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_26_20 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3133), (3163) are inconsistent by sub-proof
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10)) | (all_26_28 = e13 & ~ (all_26_0 = e13)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3164) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_10 = e11) & ~ (all_26_11 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10))
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3165) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3166) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) ~ (all_26_11 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (3084), (3129), (3167) are inconsistent by
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) (all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_7 = e10)) | (all_26_24 = e11
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_27 = e11 & ~ (all_26_8 = e13) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10))
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_26_7 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_26_21 = e12
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3118), (3170) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) e12 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3171) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) e12 = e10
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3172) imply:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) $false
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3173) is inconsistent.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) all_26_24 = e11 & all_26_27 = e11 & ~ (all_26_8 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_11 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3174) implies:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) ~ (all_26_11 = e10)
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (3084), (3129), (3175) are inconsistent by
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.51/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3176) gives:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_6 = e11) & ~ (all_26_7 = e10))
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3177) gives:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) all_26_28 = e13 & ~ (all_26_0 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e12) & ~ (all_26_2 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_3 = e10)
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (567), (3178) are inconsistent by sub-proof
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #30.
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_26_29 = e12 & ~ (all_26_4 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_7 = e10)
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (749), (3179) are inconsistent by sub-proof
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #44.
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) (all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)) | ( ~ (all_26_12 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_13 = e12) & ~ (all_26_14 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_15 = e10) & (all_26_31 = e10 |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10 & all_26_25 = e10) |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10 & all_26_26 = e10) |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)))
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3180) gives:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_26_30 = e11 & ~ (all_26_8 = e13) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_11 = e10)
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3181) implies:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) all_26_30 = e11
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3145), (3182) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) e12 = e11
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3183) implies:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) e12 = e11
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3184) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) $false
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3185) is inconsistent.
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) ~ (all_26_12 = e13) & ~ (all_26_13 = e12) & ~
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_14 = e11) & ~ (all_26_15 = e10) &
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10))
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3186) implies:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_26_31 = e10 | (all_26_18 = e10 & all_26_25 =
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) | (all_26_21 = e10 & all_26_26 = e10) |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & all_26_27 = e10)
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3187) gives:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) all_26_31 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3066), (3188) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) e11 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3189) implies:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) e11 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (3190) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) $false
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3191) is inconsistent.
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) (all_26_18 = e10 & all_26_25 = e10) | (all_26_21 =
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e10) | (all_26_24 = e10 &
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e10)
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3192) gives:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_26_18 = e10 & all_26_25 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3193) implies:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_26_18 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1890), (3194) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) e12 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3195) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) $false
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3196) is inconsistent.
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) (all_26_21 = e10 & all_26_26 = e10) | (all_26_24 =
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_27 = e10)
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3197) gives:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) all_26_21 = e10 & all_26_26 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3198) implies:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_26_26 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3095), (3199) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) e12 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3200) implies:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) e12 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3201) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) $false
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3202) is inconsistent.
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_26_24 = e10 & all_26_27 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3203) implies:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_26_24 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3081), (3204) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) e13 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (3205) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) $false
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3206) is inconsistent.
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_22_14 = e12
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3111), (3207) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) e12 = e10
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3208) imply:
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) $false
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3209) is inconsistent.
% 83.56/12.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) all_22_10 = e11
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3117), (3210) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) e11 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (3211) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3212) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) ~ (all_22_6 = e10)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (3213) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) ~ (all_12_2 = e10)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) all_16_8 = e13
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (3215) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) all_12_2 = e13
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3082), (3216) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3217) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_22_2 = e12
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (3219) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_12_1 = e12
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3220) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_12_1 = e12
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (3221) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) ~ (all_12_2 = e12)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3222) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) ~ (all_12_2 = e12)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3218) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) all_16_8 = e12
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (3224) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) all_12_2 = e12
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3223), (3225) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3226) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_16_8 = e11 | all_16_8 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3227) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_16_8 = e11
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (3228) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_12_2 = e11
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (3229) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3230) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_16_8 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (3231) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_12_2 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3214), (3232) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3233) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) ~ (all_22_2 = e12)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (3234) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) ~ (all_12_1 = e12)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (806), (1909), (3119), (3235) are
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) all_16_13 = e11 | all_16_13 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (689), (822), (3067), (3236) are inconsistent by
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #38.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | (3237) all_22_15 = e13
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3065), (3237) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | (3238) e13 = e11
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3238) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | (3239) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3239) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3240) all_16_15 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (3240) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3241) all_12_15 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | SIMP: (3241) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3242) all_12_15 = e10
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | REDUCE: (2213), (3242) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3243) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | CLOSE: (3243) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | (3244) all_18_3 = e21 | all_18_3 = e20
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | REF_CLOSE: (711), (771), (784), (3244) are inconsistent by
% 83.56/12.53 | | | | | | | | | | | | | | | sub-proof #54.
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | End of split
% 83.56/12.53 | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | (3245) ~ (all_18_2 = e23)
% 83.56/12.53 | | | | | | | | | | | | | (3246) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 83.56/12.53 | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | REDUCE: (702), (3245) imply:
% 83.56/12.53 | | | | | | | | | | | | | (3247) ~ (all_14_8 = e23)
% 83.56/12.53 | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | BETA: splitting (3246) gives:
% 83.56/12.53 | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | (3248) all_18_2 = e22
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | COMBINE_EQS: (702), (3248) imply:
% 83.56/12.53 | | | | | | | | | | | | | | (3249) all_14_8 = e22
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | COMBINE_EQS: (636), (3249) imply:
% 83.56/12.53 | | | | | | | | | | | | | | (3250) all_20_4 = e22
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | COMBINE_EQS: (546), (3249) imply:
% 83.56/12.53 | | | | | | | | | | | | | | (3251) all_24_17 = e22
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | REDUCE: (136), (3249) imply:
% 83.56/12.53 | | | | | | | | | | | | | | (3252) ~ (all_14_9 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | SIMP: (3252) implies:
% 83.56/12.53 | | | | | | | | | | | | | | (3253) ~ (all_14_9 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | REDUCE: (134), (3249) imply:
% 83.56/12.53 | | | | | | | | | | | | | | (3254) ~ (all_14_11 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | SIMP: (3254) implies:
% 83.56/12.53 | | | | | | | | | | | | | | (3255) ~ (all_14_11 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | REDUCE: (133), (3249) imply:
% 83.56/12.53 | | | | | | | | | | | | | | (3256) ~ (all_14_12 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | SIMP: (3256) implies:
% 83.56/12.53 | | | | | | | | | | | | | | (3257) ~ (all_14_12 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | REDUCE: (795), (3249) imply:
% 83.56/12.53 | | | | | | | | | | | | | | (3258) ~ (all_4_1 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | SIMP: (3258) implies:
% 83.56/12.53 | | | | | | | | | | | | | | (3259) ~ (all_4_1 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | REDUCE: (3247), (3249) imply:
% 83.56/12.53 | | | | | | | | | | | | | | (3260) ~ (e23 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | SIMP: (3260) implies:
% 83.56/12.53 | | | | | | | | | | | | | | (3261) ~ (e23 = e22)
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 83.56/12.53 | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | (3262) all_18_3 = e23
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | COMBINE_EQS: (711), (3262) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | (3263) all_14_12 = e23
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | COMBINE_EQS: (637), (3263) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | (3264) all_20_9 = e23
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | COMBINE_EQS: (543), (3263) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | (3265) all_24_18 = e23
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | REDUCE: (125), (3263) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | (3266) ~ (all_14_14 = e23)
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | SIMP: (3266) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | (3267) ~ (all_14_14 = e23)
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 83.56/12.53 | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | (3268) ~ (all_24_18 = e23)
% 83.56/12.53 | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | REDUCE: (3265), (3268) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | (3269) $false
% 83.56/12.53 | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | CLOSE: (3269) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | (3270) all_24_28 = e20 | all_24_29 = e20 | all_24_30 =
% 83.56/12.53 | | | | | | | | | | | | | | | | e20 | all_24_31 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | BETA: splitting (3270) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | (3271) all_24_28 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (3271) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | (3272) e21 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | SIMP: (3272) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | (3273) e21 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | REDUCE: (767), (3273) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | (3274) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | CLOSE: (3274) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | (3275) all_24_29 = e20 | all_24_30 = e20 | all_24_31 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | e20
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | BETA: splitting (3275) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | (3276) all_24_29 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (3276) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | (3277) e23 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | SIMP: (3277) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | (3278) e23 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | REDUCE: (776), (3278) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | (3279) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | CLOSE: (3279) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | (3280) ~ (all_24_29 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | (3281) all_24_30 = e20 | all_24_31 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | BETA: splitting (3281) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3282) all_24_30 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (3282) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3283) all_4_1 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | SIMP: (3283) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3284) all_4_1 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (3284) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3285) all_20_8 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | REDUCE: (796), (3284) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3286) ~ (all_14_9 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | REDUCE: (798), (3284) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3287) ~ (all_14_11 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | REDUCE: (800), (3284) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3288) ~ (all_14_14 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | REDUCE: (3259), (3284) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3289) ~ (e22 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | SIMP: (3289) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | (3290) ~ (e22 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | (3291) all_18_6 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (704), (3291) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | (3292) all_14_9 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (3292) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | (3293) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | CLOSE: (3293) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | (3294) ~ (all_18_6 = e23)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | (3295) all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3295) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | (3296) all_18_6 = e22
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (704), (3296) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | (3297) all_14_9 = e22
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3253), (3297) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | (3298) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3298) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | (3299) ~ (all_18_6 = e22)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | (3300) all_18_6 = e21 | all_18_6 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | (3301) all_20_4 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3250), (3301) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | (3302) e23 = e22
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3261), (3302) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | (3303) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3303) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | (3304) all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3304) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | (3305) all_20_5 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (3305) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | (3306) all_14_9 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (3306) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | (3307) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3307) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | (3308) all_20_8 = e23 | all_20_14 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (3309) all_20_8 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3285), (3309) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (3310) e23 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3310) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (3311) e23 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (3311) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (3312) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3312) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (3313) all_20_14 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (3313) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (3314) all_14_11 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (3314) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (3315) all_24_27 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (3314) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | (3316) ~ (all_14_3 = e23)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1474) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_20_9 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3264), (3317) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (3318) e23 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (3318) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (3319) $false
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3319) is inconsistent.
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_20_10 = e20 | all_20_11 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3300) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_18_6 = e21
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (704), (3321) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) all_14_9 = e21
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3322) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) all_14_9 = e21
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (3323) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_24_20 = e21
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (3323) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) ~ (e23 = e21)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3253), (3323) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) ~ (e22 = e21)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3326) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) ~ (e22 = e21)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3320) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) all_20_10 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (3328) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) all_14_13 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (3329) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) all_24_21 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3329) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) ~ (all_14_14 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) all_20_12 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (3332) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_14_3 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (3333) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) all_24_25 = e20
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (3333) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) ~ (all_10_1 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (3333) imply:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) ~ (e21 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_17 = e21 & all_24_22 = e21 &
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_10 = e21) & ~ (all_24_11 = e20)) |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20))
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3337) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_2 = e21) & ~ (all_24_3 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3338) gives:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 =
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3339) implies:
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) all_24_16 = e23
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (3340) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) e23 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3341) implies:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) e23 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (3342) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) $false
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3343) is inconsistent.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) (all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_7 = e20)) | (all_24_17 = e23
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_22 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3344) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_7 = e20)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3345) implies:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_24_19 = e22
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3337) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3338) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3347) implies:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_24_19 = e23
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) all_24_16 = e23
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (3349) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) e23 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3350) implies:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) e23 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3290), (3346), (3348), (3351) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3344) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (748), (3290), (3345) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3251), (3261), (3352) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_6 = e21) & ~ (all_24_7 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (3251), (3324), (3327), (3334), (3353) are
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_28 = e23 & ~ (all_24_0 = e23)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3354) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (139), (234), (264), (339), (502), (523),
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650), (715), (742), (743), (744), (778), (786),
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804), (3264), (3267), (3282), (3288), (3290),
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315), (3328), (3330), (3355) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3356) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (743), (744), (3261), (3357) are
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3358) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3359) implies:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_24_30 = e21
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3282), (3360) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) e21 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3361) implies:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) e21 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (3362) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) $false
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3363) is inconsistent.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) ~ (all_24_12 = e23) & ~ (all_24_13 = e22) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_14 = e21) & ~ (all_24_15 = e20) &
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e20 | (all_24_18 = e20 & all_24_25 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3364) implies:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_24_31 = e20 | (all_24_18 = e20 & all_24_25 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (742), (745), (776), (780), (1475), (3265),
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315), (3365) are inconsistent by sub-proof #1.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_3 = e20)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3251), (3261), (3366) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_6 = e21) & ~ (all_24_7 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (3251), (3324), (3327), (3334), (3367) are
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_24_28 = e23 & ~ (all_24_0 = e23)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3368) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_10 = e21) & ~ (all_24_11 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (139), (234), (264), (339), (502), (523),
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650), (715), (742), (743), (744), (778), (786),
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804), (3264), (3267), (3282), (3288), (3290),
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315), (3328), (3330), (3369) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3370) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_6 = e21) & ~ (all_24_7 = e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (743), (744), (3261), (3371) are
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_13 = e22) & ~ (all_24_14 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_15 = e20) & (all_24_31 = e20 |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20 & all_24_25 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3372) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_24_30 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_11 = e20)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (767), (3282), (3373) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #83.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) ~ (all_24_12 = e23) & ~ (all_24_13 = e22) & ~
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_14 = e21) & ~ (all_24_15 = e20) &
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e20 | (all_24_18 = e20 & all_24_25 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20))
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3374) implies:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_24_31 = e20 | (all_24_18 = e20 & all_24_25 =
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) | (all_24_21 = e20 & all_24_26 = e20) |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & all_24_27 = e20)
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (742), (745), (776), (780), (1475), (3265),
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315), (3375) are inconsistent by sub-proof #1.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_20_13 = e20 | all_20_14 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3376) gives:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_20_13 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (3377) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) all_14_7 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (3378) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) $false
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3379) is inconsistent.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_20_14 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3313), (3380) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) e23 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (3381) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) $false
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3382) is inconsistent.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_20_11 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (650), (3383) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) all_14_14 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3288), (3384) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) $false
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3385) is inconsistent.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_18_6 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (704), (3286), (3386) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #59.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | (3387) all_24_31 = e20
% 83.56/12.54 | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (742), (1475), (3387) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 83.56/12.54 | | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | (3388) ~ (all_18_3 = e23)
% 83.56/12.54 | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | REDUCE: (711), (3388) imply:
% 83.56/12.54 | | | | | | | | | | | | | | | (3389) ~ (all_14_12 = e23)
% 83.56/12.54 | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | | REF_CLOSE: (11), (279), (548), (637), (741), (776), (3250),
% 83.56/12.54 | | | | | | | | | | | | | | | (3261), (3389) are inconsistent by sub-proof #67.
% 83.56/12.54 | | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | (3390) all_18_2 = e21 | all_18_2 = e20
% 83.56/12.54 | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | | REF_CLOSE: (702), (769), (782), (3390) are inconsistent by
% 83.56/12.54 | | | | | | | | | | | | | | sub-proof #68.
% 83.56/12.54 | | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | End of split
% 83.56/12.54 | | | | | | | |
% 83.56/12.54 | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | |
% 83.56/12.54 | | | | | | | | (3391) ~ (all_16_3 = e12)
% 83.56/12.54 | | | | | | | |
% 83.56/12.54 | | | | | | | | REDUCE: (682), (3391) imply:
% 83.56/12.54 | | | | | | | | (3392) ~ (all_12_12 = e12)
% 83.56/12.54 | | | | | | | |
% 83.56/12.54 | | | | | | | | BETA: splitting (1886) gives:
% 83.56/12.54 | | | | | | | |
% 83.56/12.54 | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | | (3393) all_22_1 = e12
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | | COMBINE_EQS: (569), (3393) imply:
% 83.56/12.54 | | | | | | | | | (3394) e12 = e10
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | | REDUCE: (7), (3394) imply:
% 83.56/12.54 | | | | | | | | | (3395) $false
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | | CLOSE: (3395) is inconsistent.
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | | (3396) all_22_4 = e12 | all_22_9 = e12
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | | BETA: splitting (3396) gives:
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | | Case 1:
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | (3397) all_22_4 = e12
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | REF_CLOSE: (10), (1875), (3397) are inconsistent by sub-proof
% 83.56/12.54 | | | | | | | | | | #8.
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | Case 2:
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | (3398) all_22_9 = e12
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | COMBINE_EQS: (606), (3398) imply:
% 83.56/12.54 | | | | | | | | | | (3399) all_12_12 = e12
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | SIMP: (3399) implies:
% 83.56/12.54 | | | | | | | | | | (3400) all_12_12 = e12
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | REDUCE: (3392), (3400) imply:
% 83.56/12.54 | | | | | | | | | | (3401) $false
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | | CLOSE: (3401) is inconsistent.
% 83.56/12.54 | | | | | | | | | |
% 83.56/12.54 | | | | | | | | | End of split
% 83.56/12.54 | | | | | | | | |
% 83.56/12.54 | | | | | | | | End of split
% 83.56/12.54 | | | | | | | |
% 83.56/12.54 | | | | | | | End of split
% 83.56/12.54 | | | | | | |
% 83.56/12.54 | | | | | | End of split
% 83.56/12.54 | | | | | |
% 83.56/12.54 | | | | | Case 2:
% 83.56/12.54 | | | | | |
% 83.56/12.54 | | | | | | (3402) all_22_9 = e13
% 83.56/12.54 | | | | | |
% 83.56/12.54 | | | | | | COMBINE_EQS: (606), (3402) imply:
% 83.56/12.54 | | | | | | (3403) all_12_12 = e13
% 83.56/12.54 | | | | | |
% 83.56/12.54 | | | | | | SIMP: (3403) implies:
% 83.56/12.54 | | | | | | (3404) all_12_12 = e13
% 83.56/12.54 | | | | | |
% 83.56/12.54 | | | | | | REDUCE: (1866), (3404) imply:
% 83.56/12.54 | | | | | | (3405) $false
% 83.56/12.54 | | | | | |
% 83.56/12.54 | | | | | | CLOSE: (3405) is inconsistent.
% 83.56/12.54 | | | | | |
% 83.56/12.54 | | | | | End of split
% 83.56/12.54 | | | | |
% 83.56/12.54 | | | | End of split
% 83.56/12.54 | | | |
% 83.56/12.54 | | | End of split
% 83.56/12.54 | | |
% 83.56/12.54 | | End of split
% 83.56/12.54 | |
% 83.56/12.54 | End of split
% 83.56/12.54 |
% 83.56/12.54 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #1 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) ~ (all_14_7 = e20)
% 83.56/12.55 (2) all_24_26 = all_14_7
% 83.56/12.55 (3) all_24_31 = all_10_1
% 83.56/12.55 (4) all_24_27 = e23
% 83.56/12.55 (5) all_24_31 = e20 | (all_24_18 = e20 & all_24_25 = e20) | (all_24_21 = e20
% 83.56/12.55 & all_24_26 = e20) | (all_24_24 = e20 & all_24_27 = e20)
% 83.56/12.55 (6) ~ (all_10_1 = e20)
% 83.56/12.55 (7) ~ (e23 = e20)
% 83.56/12.55 (8) all_24_18 = e23
% 83.56/12.55
% 83.56/12.55 Begin of proof
% 83.56/12.55 |
% 83.56/12.55 | BETA: splitting (5) gives:
% 83.56/12.55 |
% 83.56/12.55 | Case 1:
% 83.56/12.55 | |
% 83.56/12.55 | | (9) all_24_31 = e20
% 83.56/12.55 | |
% 83.56/12.55 | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #2.
% 83.56/12.55 | |
% 83.56/12.55 | Case 2:
% 83.56/12.55 | |
% 83.56/12.55 | | (10) (all_24_18 = e20 & all_24_25 = e20) | (all_24_21 = e20 & all_24_26 =
% 83.56/12.55 | | e20) | (all_24_24 = e20 & all_24_27 = e20)
% 83.56/12.55 | |
% 83.56/12.55 | | BETA: splitting (10) gives:
% 83.56/12.55 | |
% 83.56/12.55 | | Case 1:
% 83.56/12.55 | | |
% 83.56/12.55 | | | (11) all_24_18 = e20 & all_24_25 = e20
% 83.56/12.55 | | |
% 83.56/12.55 | | | ALPHA: (11) implies:
% 83.56/12.55 | | | (12) all_24_18 = e20
% 83.56/12.55 | | |
% 83.56/12.55 | | | COMBINE_EQS: (8), (12) imply:
% 83.56/12.55 | | | (13) e23 = e20
% 83.56/12.55 | | |
% 83.56/12.55 | | | REDUCE: (7), (13) imply:
% 83.56/12.55 | | | (14) $false
% 83.56/12.55 | | |
% 83.56/12.55 | | | CLOSE: (14) is inconsistent.
% 83.56/12.55 | | |
% 83.56/12.55 | | Case 2:
% 83.56/12.55 | | |
% 83.56/12.55 | | | (15) (all_24_21 = e20 & all_24_26 = e20) | (all_24_24 = e20 & all_24_27
% 83.56/12.55 | | | = e20)
% 83.56/12.55 | | |
% 83.56/12.55 | | | BETA: splitting (15) gives:
% 83.56/12.55 | | |
% 83.56/12.55 | | | Case 1:
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | (16) all_24_21 = e20 & all_24_26 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | ALPHA: (16) implies:
% 83.56/12.55 | | | | (17) all_24_26 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | COMBINE_EQS: (2), (17) imply:
% 83.56/12.55 | | | | (18) all_14_7 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | SIMP: (18) implies:
% 83.56/12.55 | | | | (19) all_14_7 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | REDUCE: (1), (19) imply:
% 83.56/12.55 | | | | (20) $false
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | CLOSE: (20) is inconsistent.
% 83.56/12.55 | | | |
% 83.56/12.55 | | | Case 2:
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | (21) all_24_24 = e20 & all_24_27 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | ALPHA: (21) implies:
% 83.56/12.55 | | | | (22) all_24_27 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | COMBINE_EQS: (4), (22) imply:
% 83.56/12.55 | | | | (23) e23 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | SIMP: (23) implies:
% 83.56/12.55 | | | | (24) e23 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | REDUCE: (7), (24) imply:
% 83.56/12.55 | | | | (25) $false
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | CLOSE: (25) is inconsistent.
% 83.56/12.55 | | | |
% 83.56/12.55 | | | End of split
% 83.56/12.55 | | |
% 83.56/12.55 | | End of split
% 83.56/12.55 | |
% 83.56/12.55 | End of split
% 83.56/12.55 |
% 83.56/12.55 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #2 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) all_24_31 = all_10_1
% 83.56/12.55 (2) all_24_31 = e20
% 83.56/12.55 (3) ~ (all_10_1 = e20)
% 83.56/12.55
% 83.56/12.55 Begin of proof
% 83.56/12.55 |
% 83.56/12.55 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.55 | (4) all_10_1 = e20
% 83.56/12.55 |
% 83.56/12.55 | SIMP: (4) implies:
% 83.56/12.55 | (5) all_10_1 = e20
% 83.56/12.55 |
% 83.56/12.55 | REDUCE: (3), (5) imply:
% 83.56/12.55 | (6) $false
% 83.56/12.55 |
% 83.56/12.55 | CLOSE: (6) is inconsistent.
% 83.56/12.55 |
% 83.56/12.55 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #3 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) ~ (e23 = e21)
% 83.56/12.55 (2) ~ (e23 = e22)
% 83.56/12.55 (3) all_24_28 = e21
% 83.56/12.55 (4) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 = e22) & ~
% 83.56/12.55 (all_24_2 = e21) & ~ (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.56/12.55 (all_24_4 = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.55 (all_24_7 = e20))
% 83.56/12.55 (5) all_24_29 = e23
% 83.56/12.55
% 83.56/12.55 Begin of proof
% 83.56/12.55 |
% 83.56/12.55 | BETA: splitting (4) gives:
% 83.56/12.55 |
% 83.56/12.55 | Case 1:
% 83.56/12.55 | |
% 83.56/12.55 | | (6) all_24_28 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 = e22) & ~
% 83.56/12.55 | | (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.55 | |
% 83.56/12.55 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #84.
% 83.56/12.55 | |
% 83.56/12.55 | Case 2:
% 83.56/12.55 | |
% 83.56/12.55 | | (7) all_24_29 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.55 | | (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.55 | |
% 83.56/12.55 | | ALPHA: (7) implies:
% 83.56/12.55 | | (8) all_24_29 = e22
% 83.56/12.55 | |
% 83.56/12.55 | | COMBINE_EQS: (5), (8) imply:
% 83.56/12.55 | | (9) e23 = e22
% 83.56/12.55 | |
% 83.56/12.55 | | SIMP: (9) implies:
% 83.56/12.55 | | (10) e23 = e22
% 83.56/12.55 | |
% 83.56/12.55 | | REDUCE: (2), (10) imply:
% 83.56/12.55 | | (11) $false
% 83.56/12.55 | |
% 83.56/12.55 | | CLOSE: (11) is inconsistent.
% 83.56/12.55 | |
% 83.56/12.55 | End of split
% 83.56/12.55 |
% 83.56/12.55 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #4 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) ~ (all_14_14 = e23)
% 83.56/12.55 (2) ~ (e23 = e21)
% 83.56/12.55 (3) ~ (all_14_14 = all_10_1)
% 83.56/12.55 (4) all_24_21 = e20
% 83.56/12.55 (5) ~ (all_14_6 = all_14_14)
% 83.56/12.55 (6) all_20_9 = e21 | all_20_10 = e21 | all_20_11 = e21 | all_20_15 = e21
% 83.56/12.55 (7) ~ (all_24_23 = e21) | all_24_28 = e22 | all_24_29 = e22 | all_24_30 =
% 83.56/12.55 e22 | all_24_31 = e22
% 83.56/12.55 (8) (all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.55 e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)) | (all_24_21 =
% 83.56/12.55 e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.55 (all_24_6 = e21) & ~ (all_24_7 = e20)) | (all_24_24 = e21 & all_24_27
% 83.56/12.55 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~ (all_24_10 =
% 83.56/12.55 e21) & ~ (all_24_11 = e20))
% 83.56/12.55 (9) ~ (all_14_14 = e20)
% 83.56/12.55 (10) all_24_31 = all_10_1
% 83.56/12.55 (11) ~ (e22 = e20)
% 83.56/12.55 (12) all_24_28 = e21
% 83.56/12.55 (13) all_20_10 = e20
% 83.56/12.55 (14) all_20_11 = all_14_14
% 83.56/12.55 (15) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 83.56/12.55 (16) all_24_27 = e23
% 83.56/12.55 (17) all_18_11 = all_14_14
% 83.56/12.55 (18) all_20_15 = all_10_1
% 83.56/12.55 (19) ~ (all_14_6 = e23)
% 83.56/12.55 (20) ~ (all_14_6 = e20)
% 83.56/12.55 (21) all_24_30 = e20
% 83.56/12.55 (22) all_24_23 = all_14_6
% 83.56/12.55 (23) all_24_29 = e23
% 83.56/12.55 (24) all_20_9 = e23
% 83.56/12.55
% 83.56/12.55 Begin of proof
% 83.56/12.55 |
% 83.56/12.55 | BETA: splitting (8) gives:
% 83.56/12.55 |
% 83.56/12.55 | Case 1:
% 83.56/12.55 | |
% 83.56/12.55 | | (25) all_24_20 = e21 & all_24_23 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.55 | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.55 | |
% 83.56/12.55 | | ALPHA: (25) implies:
% 83.56/12.55 | | (26) all_24_23 = e21
% 83.56/12.55 | |
% 83.56/12.55 | | COMBINE_EQS: (22), (26) imply:
% 83.56/12.55 | | (27) all_14_6 = e21
% 83.56/12.55 | |
% 83.56/12.55 | | SIMP: (27) implies:
% 83.56/12.55 | | (28) all_14_6 = e21
% 83.56/12.55 | |
% 83.56/12.55 | | REDUCE: (5), (28) imply:
% 83.56/12.55 | | (29) ~ (all_14_14 = e21)
% 83.56/12.55 | |
% 83.56/12.55 | | SIMP: (29) implies:
% 83.56/12.55 | | (30) ~ (all_14_14 = e21)
% 83.56/12.55 | |
% 83.56/12.55 | | REDUCE: (19), (28) imply:
% 83.56/12.55 | | (31) ~ (e23 = e21)
% 83.56/12.55 | |
% 83.56/12.55 | | REDUCE: (20), (28) imply:
% 83.56/12.55 | | (32) ~ (e21 = e20)
% 83.56/12.55 | |
% 83.56/12.55 | | BETA: splitting (6) gives:
% 83.56/12.55 | |
% 83.56/12.55 | | Case 1:
% 83.56/12.55 | | |
% 83.56/12.55 | | | (33) all_20_9 = e21
% 83.56/12.55 | | |
% 83.56/12.55 | | | COMBINE_EQS: (24), (33) imply:
% 83.56/12.55 | | | (34) e23 = e21
% 83.56/12.55 | | |
% 83.56/12.55 | | | SIMP: (34) implies:
% 83.56/12.55 | | | (35) e23 = e21
% 83.56/12.55 | | |
% 83.56/12.55 | | | REDUCE: (2), (35) imply:
% 83.56/12.55 | | | (36) $false
% 83.56/12.55 | | |
% 83.56/12.55 | | | CLOSE: (36) is inconsistent.
% 83.56/12.55 | | |
% 83.56/12.55 | | Case 2:
% 83.56/12.55 | | |
% 83.56/12.55 | | | (37) all_20_10 = e21 | all_20_11 = e21 | all_20_15 = e21
% 83.56/12.55 | | |
% 83.56/12.55 | | | BETA: splitting (15) gives:
% 83.56/12.55 | | |
% 83.56/12.55 | | | Case 1:
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | (38) all_18_11 = e23
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | REF_CLOSE: (1), (17), (38) are inconsistent by sub-proof #92.
% 83.56/12.55 | | | |
% 83.56/12.55 | | | Case 2:
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | (39) ~ (all_18_11 = e23)
% 83.56/12.55 | | | | (40) all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | BETA: splitting (40) gives:
% 83.56/12.55 | | | |
% 83.56/12.55 | | | | Case 1:
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | (41) all_18_11 = e22
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | COMBINE_EQS: (17), (41) imply:
% 83.56/12.55 | | | | | (42) all_14_14 = e22
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | SIMP: (42) implies:
% 83.56/12.55 | | | | | (43) all_14_14 = e22
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | COMBINE_EQS: (14), (43) imply:
% 83.56/12.55 | | | | | (44) all_20_11 = e22
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | REDUCE: (3), (43) imply:
% 83.56/12.55 | | | | | (45) ~ (all_10_1 = e22)
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | SIMP: (45) implies:
% 83.56/12.55 | | | | | (46) ~ (all_10_1 = e22)
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | REDUCE: (1), (43) imply:
% 83.56/12.55 | | | | | (47) ~ (e23 = e22)
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | SIMP: (47) implies:
% 83.56/12.55 | | | | | (48) ~ (e23 = e22)
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | REDUCE: (30), (43) imply:
% 83.56/12.55 | | | | | (49) ~ (e22 = e21)
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | BETA: splitting (37) gives:
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | Case 1:
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | (50) all_20_10 = e21
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | COMBINE_EQS: (13), (50) imply:
% 83.56/12.55 | | | | | | (51) e21 = e20
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | REDUCE: (32), (51) imply:
% 83.56/12.55 | | | | | | (52) $false
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | CLOSE: (52) is inconsistent.
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | Case 2:
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | (53) all_20_11 = e21 | all_20_15 = e21
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | BETA: splitting (53) gives:
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | Case 1:
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | (54) all_20_11 = e21
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | COMBINE_EQS: (44), (54) imply:
% 83.56/12.55 | | | | | | | (55) e22 = e21
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | SIMP: (55) implies:
% 83.56/12.55 | | | | | | | (56) e22 = e21
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | REDUCE: (49), (56) imply:
% 83.56/12.55 | | | | | | | (57) $false
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | CLOSE: (57) is inconsistent.
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | Case 2:
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | (58) all_20_15 = e21
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | COMBINE_EQS: (18), (58) imply:
% 83.56/12.55 | | | | | | | (59) all_10_1 = e21
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | COMBINE_EQS: (10), (59) imply:
% 83.56/12.55 | | | | | | | (60) all_24_31 = e21
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | REDUCE: (46), (59) imply:
% 83.56/12.55 | | | | | | | (61) ~ (e22 = e21)
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | | REF_CLOSE: (7), (11), (12), (21), (23), (26), (48), (49), (60) are
% 83.56/12.55 | | | | | | | inconsistent by sub-proof #11.
% 83.56/12.55 | | | | | | |
% 83.56/12.55 | | | | | | End of split
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | End of split
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | Case 2:
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | (62) all_18_11 = e21 | all_18_11 = e20
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | BETA: splitting (62) gives:
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | | Case 1:
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | (63) all_18_11 = e21
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | COMBINE_EQS: (17), (63) imply:
% 83.56/12.55 | | | | | | (64) all_14_14 = e21
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | SIMP: (64) implies:
% 83.56/12.55 | | | | | | (65) all_14_14 = e21
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | REDUCE: (30), (65) imply:
% 83.56/12.55 | | | | | | (66) $false
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | CLOSE: (66) is inconsistent.
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | Case 2:
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | (67) all_18_11 = e20
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | | REF_CLOSE: (9), (17), (67) are inconsistent by sub-proof #72.
% 83.56/12.55 | | | | | |
% 83.56/12.55 | | | | | End of split
% 83.56/12.55 | | | | |
% 83.56/12.55 | | | | End of split
% 83.56/12.55 | | | |
% 83.56/12.55 | | | End of split
% 83.56/12.55 | | |
% 83.56/12.55 | | End of split
% 83.56/12.55 | |
% 83.56/12.55 | Case 2:
% 83.56/12.55 | |
% 83.56/12.55 | | (68) (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.55 | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.56/12.55 | | (all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.55 | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20))
% 83.56/12.55 | |
% 83.56/12.55 | | BETA: splitting (68) gives:
% 83.56/12.55 | |
% 83.56/12.55 | | Case 1:
% 83.56/12.55 | | |
% 83.56/12.55 | | | (69) all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.55 | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.55 | | |
% 83.56/12.55 | | | ALPHA: (69) implies:
% 83.56/12.55 | | | (70) all_24_21 = e22
% 83.56/12.55 | | |
% 83.56/12.55 | | | COMBINE_EQS: (4), (70) imply:
% 83.56/12.55 | | | (71) e22 = e20
% 83.56/12.55 | | |
% 83.56/12.55 | | | REDUCE: (11), (71) imply:
% 83.56/12.55 | | | (72) $false
% 83.56/12.55 | | |
% 83.56/12.55 | | | CLOSE: (72) is inconsistent.
% 83.56/12.55 | | |
% 83.56/12.55 | | Case 2:
% 83.56/12.55 | | |
% 83.56/12.55 | | | (73) all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.55 | | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.55 | | |
% 83.56/12.55 | | | REF_CLOSE: (2), (16), (73) are inconsistent by sub-proof #85.
% 83.56/12.55 | | |
% 83.56/12.55 | | End of split
% 83.56/12.55 | |
% 83.56/12.55 | End of split
% 83.56/12.55 |
% 83.56/12.55 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #5 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) all_24_25 = e20
% 83.56/12.55 (2) ~ (e22 = e21)
% 83.56/12.55 (3) (all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.55 e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)) | (all_24_18 =
% 83.56/12.55 e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 = e22) & ~
% 83.56/12.55 (all_24_2 = e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22 & all_24_23
% 83.56/12.55 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21)
% 83.56/12.55 & ~ (all_24_7 = e20))
% 83.56/12.55 (4) all_24_20 = e21
% 83.56/12.55 (5) ~ (e23 = e20)
% 83.56/12.55 (6) all_24_17 = e22
% 83.56/12.55
% 83.56/12.55 Begin of proof
% 83.56/12.55 |
% 83.56/12.55 | BETA: splitting (3) gives:
% 83.56/12.55 |
% 83.56/12.55 | Case 1:
% 83.56/12.55 | |
% 83.56/12.55 | | (7) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.55 | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.55 | |
% 83.56/12.55 | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #86.
% 83.56/12.55 | |
% 83.56/12.55 | Case 2:
% 83.56/12.55 | |
% 83.56/12.55 | | (8) (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.55 | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)) |
% 83.56/12.55 | | (all_24_20 = e22 & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.55 | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20))
% 83.56/12.55 | |
% 83.56/12.55 | | BETA: splitting (8) gives:
% 83.56/12.55 | |
% 83.56/12.55 | | Case 1:
% 83.56/12.55 | | |
% 83.56/12.55 | | | (9) all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.55 | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.55 | | |
% 83.56/12.55 | | | ALPHA: (9) implies:
% 83.56/12.55 | | | (10) all_24_25 = e23
% 83.56/12.55 | | |
% 83.56/12.55 | | | COMBINE_EQS: (1), (10) imply:
% 83.56/12.55 | | | (11) e23 = e20
% 83.56/12.55 | | |
% 83.56/12.55 | | | REDUCE: (5), (11) imply:
% 83.56/12.55 | | | (12) $false
% 83.56/12.55 | | |
% 83.56/12.55 | | | CLOSE: (12) is inconsistent.
% 83.56/12.55 | | |
% 83.56/12.55 | | Case 2:
% 83.56/12.55 | | |
% 83.56/12.55 | | | (13) all_24_20 = e22 & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.55 | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.55 | | |
% 83.56/12.55 | | | ALPHA: (13) implies:
% 83.56/12.55 | | | (14) all_24_20 = e22
% 83.56/12.55 | | |
% 83.56/12.55 | | | COMBINE_EQS: (4), (14) imply:
% 83.56/12.55 | | | (15) e22 = e21
% 83.56/12.55 | | |
% 83.56/12.55 | | | REDUCE: (2), (15) imply:
% 83.56/12.55 | | | (16) $false
% 83.56/12.55 | | |
% 83.56/12.55 | | | CLOSE: (16) is inconsistent.
% 83.56/12.55 | | |
% 83.56/12.55 | | End of split
% 83.56/12.55 | |
% 83.56/12.55 | End of split
% 83.56/12.55 |
% 83.56/12.55 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #6 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 83.56/12.55 e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.55 (2) all_24_17 = e22
% 83.56/12.55 (3) ~ (e23 = e22)
% 83.56/12.55
% 83.56/12.55 Begin of proof
% 83.56/12.55 |
% 83.56/12.55 | ALPHA: (1) implies:
% 83.56/12.55 | (4) all_24_17 = e23
% 83.56/12.55 |
% 83.56/12.55 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.55 | (5) e23 = e22
% 83.56/12.55 |
% 83.56/12.55 | SIMP: (5) implies:
% 83.56/12.55 | (6) e23 = e22
% 83.56/12.55 |
% 83.56/12.55 | REDUCE: (3), (6) imply:
% 83.56/12.55 | (7) $false
% 83.56/12.55 |
% 83.56/12.55 | CLOSE: (7) is inconsistent.
% 83.56/12.55 |
% 83.56/12.55 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #7 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 83.56/12.55 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 83.56/12.55 (2) op1(e11, e13) = all_26_11
% 83.56/12.55 (3) op1(e11, e13) = e10
% 83.56/12.55 (4) ~ (all_26_11 = e10)
% 83.56/12.55
% 83.56/12.55 Begin of proof
% 83.56/12.55 |
% 83.56/12.55 | GROUND_INST: instantiating (1) with e10, all_26_11, e13, e11, simplifying with
% 83.56/12.55 | (2), (3) gives:
% 83.56/12.55 | (5) all_26_11 = e10
% 83.56/12.55 |
% 83.56/12.55 | REDUCE: (4), (5) imply:
% 83.56/12.55 | (6) $false
% 83.56/12.55 |
% 83.56/12.55 | CLOSE: (6) is inconsistent.
% 83.56/12.55 |
% 83.56/12.55 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #8 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) all_22_4 = e13
% 83.56/12.55 (2) all_22_4 = e12
% 83.56/12.55 (3) ~ (e13 = e12)
% 83.56/12.55
% 83.56/12.55 Begin of proof
% 83.56/12.55 |
% 83.56/12.55 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.55 | (4) e13 = e12
% 83.56/12.55 |
% 83.56/12.55 | SIMP: (4) implies:
% 83.56/12.55 | (5) e13 = e12
% 83.56/12.55 |
% 83.56/12.55 | REDUCE: (3), (5) imply:
% 83.56/12.55 | (6) $false
% 83.56/12.55 |
% 83.56/12.55 | CLOSE: (6) is inconsistent.
% 83.56/12.55 |
% 83.56/12.55 End of proof
% 83.56/12.55
% 83.56/12.55 Sub-proof #9 shows that the following formulas are inconsistent:
% 83.56/12.55 ----------------------------------------------------------------
% 83.56/12.55 (1) op2(e21, e23) = all_24_11
% 83.56/12.55 (2) all_24_30 = e22
% 83.56/12.55 (3) ~ (e23 = e22)
% 83.56/12.55 (4) ~ (all_24_23 = e21) | all_24_28 = e22 | all_24_29 = e22 | all_24_30 =
% 83.56/12.55 e22 | all_24_31 = e22
% 83.56/12.55 (5) all_24_31 = e21
% 83.56/12.55 (6) ~ (e22 = e21)
% 83.56/12.55 (7) ~ (e22 = e20)
% 83.56/12.55 (8) all_24_28 = e21
% 83.56/12.55 (9) op2(e21, e23) = all_8_2
% 83.56/12.55 (10) ~ (all_24_11 = e20)
% 83.56/12.55 (11) all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20
% 83.56/12.55 (12) all_20_2 = e22
% 83.56/12.55 (13) all_20_12 = e23
% 83.56/12.55 (14) ~ (e23 = e20)
% 83.56/12.55 (15) all_20_6 = all_8_2
% 83.56/12.55 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 83.56/12.55 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 83.56/12.55 (17) all_24_23 = e21
% 83.56/12.56 (18) all_24_29 = e23
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (11) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.56 | | (19) all_20_2 = e20
% 83.56/12.56 | |
% 83.56/12.56 | | COMBINE_EQS: (12), (19) imply:
% 83.56/12.56 | | (20) e22 = e20
% 83.56/12.56 | |
% 83.56/12.56 | | COMBINE_EQS: (2), (20) imply:
% 83.56/12.56 | | (21) all_24_30 = e20
% 83.56/12.56 | |
% 83.56/12.56 | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (17), (18), (21) are inconsistent
% 83.56/12.56 | | by sub-proof #11.
% 83.56/12.56 | |
% 83.56/12.56 | Case 2:
% 83.56/12.56 | |
% 83.56/12.56 | | (22) all_20_6 = e20 | all_20_12 = e20
% 83.56/12.56 | |
% 83.56/12.56 | | BETA: splitting (22) gives:
% 83.56/12.56 | |
% 83.56/12.56 | | Case 1:
% 83.56/12.56 | | |
% 83.56/12.56 | | | (23) all_20_6 = e20
% 83.56/12.56 | | |
% 83.56/12.56 | | | COMBINE_EQS: (15), (23) imply:
% 83.56/12.56 | | | (24) all_8_2 = e20
% 83.56/12.56 | | |
% 83.56/12.56 | | | REDUCE: (9), (24) imply:
% 83.56/12.56 | | | (25) op2(e21, e23) = e20
% 83.56/12.56 | | |
% 83.56/12.56 | | | GROUND_INST: instantiating (16) with e20, all_24_11, e23, e21, simplifying
% 83.56/12.56 | | | with (1), (25) gives:
% 83.56/12.56 | | | (26) all_24_11 = e20
% 83.56/12.56 | | |
% 83.56/12.56 | | | REDUCE: (10), (26) imply:
% 83.56/12.56 | | | (27) $false
% 83.56/12.56 | | |
% 83.56/12.56 | | | CLOSE: (27) is inconsistent.
% 83.56/12.56 | | |
% 83.56/12.56 | | Case 2:
% 83.56/12.56 | | |
% 83.56/12.56 | | | (28) all_20_12 = e20
% 83.56/12.56 | | |
% 83.56/12.56 | | | COMBINE_EQS: (13), (28) imply:
% 83.56/12.56 | | | (29) e23 = e20
% 83.56/12.56 | | |
% 83.56/12.56 | | | REDUCE: (14), (29) imply:
% 83.56/12.56 | | | (30) $false
% 83.56/12.56 | | |
% 83.56/12.56 | | | CLOSE: (30) is inconsistent.
% 83.56/12.56 | | |
% 83.56/12.56 | | End of split
% 83.56/12.56 | |
% 83.56/12.56 | End of split
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #10 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_24_30 = e22
% 83.56/12.56 (2) ~ (e23 = e22)
% 83.56/12.56 (3) ~ (all_24_23 = e21) | all_24_28 = e22 | all_24_29 = e22 | all_24_30 =
% 83.56/12.56 e22 | all_24_31 = e22
% 83.56/12.56 (4) all_24_31 = e21
% 83.56/12.56 (5) ~ (e22 = e21)
% 83.56/12.56 (6) ~ (e22 = e20)
% 83.56/12.56 (7) all_24_28 = e21
% 83.56/12.56 (8) all_24_23 = e21
% 83.56/12.56 (9) e22 = e20
% 83.56/12.56 (10) all_24_29 = e23
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (9) implies:
% 83.56/12.56 | (11) e22 = e20
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (11) imply:
% 83.56/12.56 | (12) all_24_30 = e20
% 83.56/12.56 |
% 83.56/12.56 | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12) are inconsistent by
% 83.56/12.56 | sub-proof #11.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #11 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) ~ (e23 = e22)
% 83.56/12.56 (2) ~ (all_24_23 = e21) | all_24_28 = e22 | all_24_29 = e22 | all_24_30 =
% 83.56/12.56 e22 | all_24_31 = e22
% 83.56/12.56 (3) all_24_31 = e21
% 83.56/12.56 (4) ~ (e22 = e21)
% 83.56/12.56 (5) ~ (e22 = e20)
% 83.56/12.56 (6) all_24_28 = e21
% 83.56/12.56 (7) all_24_30 = e20
% 83.56/12.56 (8) all_24_23 = e21
% 83.56/12.56 (9) all_24_29 = e23
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (2) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.56 | | (10) ~ (all_24_23 = e21)
% 83.56/12.56 | |
% 83.56/12.56 | | REDUCE: (8), (10) imply:
% 83.56/12.56 | | (11) $false
% 83.56/12.56 | |
% 83.56/12.56 | | CLOSE: (11) is inconsistent.
% 83.56/12.56 | |
% 83.56/12.56 | Case 2:
% 83.56/12.56 | |
% 83.56/12.56 | | (12) all_24_28 = e22 | all_24_29 = e22 | all_24_30 = e22 | all_24_31 =
% 83.56/12.56 | | e22
% 83.56/12.56 | |
% 83.56/12.56 | | BETA: splitting (12) gives:
% 83.56/12.56 | |
% 83.56/12.56 | | Case 1:
% 83.56/12.56 | | |
% 83.56/12.56 | | | (13) all_24_28 = e22
% 83.56/12.56 | | |
% 83.56/12.56 | | | COMBINE_EQS: (6), (13) imply:
% 83.56/12.56 | | | (14) e22 = e21
% 83.56/12.56 | | |
% 83.56/12.56 | | | REDUCE: (4), (14) imply:
% 83.56/12.56 | | | (15) $false
% 83.56/12.56 | | |
% 83.56/12.56 | | | CLOSE: (15) is inconsistent.
% 83.56/12.56 | | |
% 83.56/12.56 | | Case 2:
% 83.56/12.56 | | |
% 83.56/12.56 | | | (16) ~ (all_24_28 = e22)
% 83.56/12.56 | | | (17) all_24_29 = e22 | all_24_30 = e22 | all_24_31 = e22
% 83.56/12.56 | | |
% 83.56/12.56 | | | REDUCE: (6), (16) imply:
% 83.56/12.56 | | | (18) ~ (e22 = e21)
% 83.56/12.56 | | |
% 83.56/12.56 | | | BETA: splitting (17) gives:
% 83.56/12.56 | | |
% 83.56/12.56 | | | Case 1:
% 83.56/12.56 | | | |
% 83.56/12.56 | | | | (19) all_24_29 = e22
% 83.56/12.56 | | | |
% 83.56/12.56 | | | | COMBINE_EQS: (9), (19) imply:
% 83.56/12.56 | | | | (20) e23 = e22
% 83.56/12.56 | | | |
% 83.56/12.56 | | | | SIMP: (20) implies:
% 83.56/12.56 | | | | (21) e23 = e22
% 83.56/12.56 | | | |
% 83.56/12.56 | | | | REDUCE: (1), (21) imply:
% 83.56/12.56 | | | | (22) $false
% 83.56/12.56 | | | |
% 83.56/12.56 | | | | CLOSE: (22) is inconsistent.
% 83.56/12.56 | | | |
% 83.56/12.56 | | | Case 2:
% 83.56/12.56 | | | |
% 83.56/12.56 | | | | (23) all_24_30 = e22 | all_24_31 = e22
% 83.56/12.56 | | | |
% 83.56/12.56 | | | | BETA: splitting (23) gives:
% 83.56/12.56 | | | |
% 83.56/12.56 | | | | Case 1:
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | | (24) all_24_30 = e22
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | | COMBINE_EQS: (7), (24) imply:
% 83.56/12.56 | | | | | (25) e22 = e20
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | | REDUCE: (5), (25) imply:
% 83.56/12.56 | | | | | (26) $false
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | | CLOSE: (26) is inconsistent.
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | Case 2:
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | | (27) all_24_31 = e22
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | | COMBINE_EQS: (3), (27) imply:
% 83.56/12.56 | | | | | (28) e22 = e21
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | | REDUCE: (4), (28) imply:
% 83.56/12.56 | | | | | (29) $false
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | | CLOSE: (29) is inconsistent.
% 83.56/12.56 | | | | |
% 83.56/12.56 | | | | End of split
% 83.56/12.56 | | | |
% 83.56/12.56 | | | End of split
% 83.56/12.56 | | |
% 83.56/12.56 | | End of split
% 83.56/12.56 | |
% 83.56/12.56 | End of split
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #12 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_22_3 = e13
% 83.56/12.56 (2) all_22_3 = e11
% 83.56/12.56 (3) ~ (e13 = e11)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.56 | (4) e13 = e11
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (4) implies:
% 83.56/12.56 | (5) e13 = e11
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (5) imply:
% 83.56/12.56 | (6) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (6) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #13 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) ~ (e12 = e10)
% 83.56/12.56 (2) all_22_2 = e12
% 83.56/12.56 (3) all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 83.56/12.56 (4) all_22_6 = e13
% 83.56/12.56 (5) e13 = e10
% 83.56/12.56 (6) all_22_12 = all_12_3
% 83.56/12.56 (7) ~ (e13 = e12)
% 83.56/12.56 (8) e13 = e12
% 83.56/12.56 (9) ~ (all_12_3 = e12)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (5), (8) imply:
% 83.56/12.56 | (10) e12 = e10
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (2), (10) imply:
% 83.56/12.56 | (11) all_22_2 = e10
% 83.56/12.56 |
% 83.56/12.56 | REF_CLOSE: (1), (3), (4), (6), (7), (9), (11) are inconsistent by sub-proof
% 83.56/12.56 | #14.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #14 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) ~ (e12 = e10)
% 83.56/12.56 (2) all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 83.56/12.56 (3) all_22_6 = e13
% 83.56/12.56 (4) all_22_2 = e10
% 83.56/12.56 (5) all_22_12 = all_12_3
% 83.56/12.56 (6) ~ (e13 = e12)
% 83.56/12.56 (7) ~ (all_12_3 = e12)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (2) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.56 | | (8) all_22_2 = e12
% 83.56/12.56 | |
% 83.56/12.56 | | COMBINE_EQS: (4), (8) imply:
% 83.56/12.56 | | (9) e12 = e10
% 83.56/12.56 | |
% 83.56/12.56 | | REDUCE: (1), (9) imply:
% 83.56/12.56 | | (10) $false
% 83.56/12.56 | |
% 83.56/12.56 | | CLOSE: (10) is inconsistent.
% 83.56/12.56 | |
% 83.56/12.56 | Case 2:
% 83.56/12.56 | |
% 83.56/12.56 | | (11) all_22_6 = e12 | all_22_12 = e12
% 83.56/12.56 | |
% 83.56/12.56 | | BETA: splitting (11) gives:
% 83.56/12.56 | |
% 83.56/12.56 | | Case 1:
% 83.56/12.56 | | |
% 83.56/12.56 | | | (12) all_22_6 = e12
% 83.56/12.56 | | |
% 83.56/12.56 | | | COMBINE_EQS: (3), (12) imply:
% 83.56/12.56 | | | (13) e13 = e12
% 83.56/12.56 | | |
% 83.56/12.56 | | | SIMP: (13) implies:
% 83.56/12.56 | | | (14) e13 = e12
% 83.56/12.56 | | |
% 83.56/12.56 | | | REDUCE: (6), (14) imply:
% 83.56/12.56 | | | (15) $false
% 83.56/12.56 | | |
% 83.56/12.56 | | | CLOSE: (15) is inconsistent.
% 83.56/12.56 | | |
% 83.56/12.56 | | Case 2:
% 83.56/12.56 | | |
% 83.56/12.56 | | | (16) all_22_12 = e12
% 83.56/12.56 | | |
% 83.56/12.56 | | | COMBINE_EQS: (5), (16) imply:
% 83.56/12.56 | | | (17) all_12_3 = e12
% 83.56/12.56 | | |
% 83.56/12.56 | | | SIMP: (17) implies:
% 83.56/12.56 | | | (18) all_12_3 = e12
% 83.56/12.56 | | |
% 83.56/12.56 | | | REDUCE: (7), (18) imply:
% 83.56/12.56 | | | (19) $false
% 83.56/12.56 | | |
% 83.56/12.56 | | | CLOSE: (19) is inconsistent.
% 83.56/12.56 | | |
% 83.56/12.56 | | End of split
% 83.56/12.56 | |
% 83.56/12.56 | End of split
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #15 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_22_2 = all_12_1
% 83.56/12.56 (2) all_22_2 = e11
% 83.56/12.56 (3) ~ (all_12_1 = e11)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.56 | (4) all_12_1 = e11
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (4) implies:
% 83.56/12.56 | (5) all_12_1 = e11
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (5) imply:
% 83.56/12.56 | (6) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (6) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #16 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_20_9 = e22
% 83.56/12.56 (2) all_20_9 = e20
% 83.56/12.56 (3) ~ (e22 = e20)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.56 | (4) e22 = e20
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (4) implies:
% 83.56/12.56 | (5) e22 = e20
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (5) imply:
% 83.56/12.56 | (6) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (6) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #17 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_20_8 = e22
% 83.56/12.56 (2) ~ (e21 = e20)
% 83.56/12.56 (3) ~ (e22 = e21)
% 83.56/12.56 (4) all_20_8 = e21 | all_20_14 = e21
% 83.56/12.56 (5) all_20_14 = e20
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (4) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.56 | | (6) all_20_8 = e21
% 83.56/12.56 | |
% 83.56/12.56 | | COMBINE_EQS: (1), (6) imply:
% 83.56/12.56 | | (7) e22 = e21
% 83.56/12.56 | |
% 83.56/12.56 | | REDUCE: (3), (7) imply:
% 83.56/12.56 | | (8) $false
% 83.56/12.56 | |
% 83.56/12.56 | | CLOSE: (8) is inconsistent.
% 83.56/12.56 | |
% 83.56/12.56 | Case 2:
% 83.56/12.56 | |
% 83.56/12.56 | | (9) all_20_14 = e21
% 83.56/12.56 | |
% 83.56/12.56 | | COMBINE_EQS: (5), (9) imply:
% 83.56/12.56 | | (10) e21 = e20
% 83.56/12.56 | |
% 83.56/12.56 | | REDUCE: (2), (10) imply:
% 83.56/12.56 | | (11) $false
% 83.56/12.56 | |
% 83.56/12.56 | | CLOSE: (11) is inconsistent.
% 83.56/12.56 | |
% 83.56/12.56 | End of split
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #18 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_18_7 = all_14_13
% 83.56/12.56 (2) all_18_7 = e22
% 83.56/12.56 (3) ~ (all_14_13 = e22)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.56 | (4) all_14_13 = e22
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (4) implies:
% 83.56/12.56 | (5) all_14_13 = e22
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (5) imply:
% 83.56/12.56 | (6) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (6) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #19 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_24_19 = e22
% 83.56/12.56 (2) all_24_19 = e23
% 83.56/12.56 (3) e23 = e20
% 83.56/12.56 (4) ~ (e22 = e20)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.56 | (5) e23 = e22
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (3), (5) imply:
% 83.56/12.56 | (6) e22 = e20
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (4), (6) imply:
% 83.56/12.56 | (7) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (7) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #20 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) ~ (all_12_1 = e10)
% 83.56/12.56 (2) ~ (all_12_1 = e11)
% 83.56/12.56 (3) all_16_4 = all_12_1
% 83.56/12.56 (4) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 83.56/12.56 (5) ~ (all_12_1 = e12)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (4) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.56 | | (6) all_16_4 = e12
% 83.56/12.56 | |
% 83.56/12.56 | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #21.
% 83.56/12.56 | |
% 83.56/12.56 | Case 2:
% 83.56/12.56 | |
% 83.56/12.56 | | (7) all_16_4 = e11 | all_16_4 = e10
% 83.56/12.56 | |
% 83.56/12.56 | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #37.
% 83.56/12.56 | |
% 83.56/12.56 | End of split
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #21 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_16_4 = all_12_1
% 83.56/12.56 (2) all_16_4 = e12
% 83.56/12.56 (3) ~ (all_12_1 = e12)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.56 | (4) all_12_1 = e12
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (4) implies:
% 83.56/12.56 | (5) all_12_1 = e12
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (5) imply:
% 83.56/12.56 | (6) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (6) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #22 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.56/12.56 e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)
% 83.56/12.56 (2) all_26_16 = e10
% 83.56/12.56 (3) ~ (e13 = e10)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | ALPHA: (1) implies:
% 83.56/12.56 | (4) all_26_16 = e13
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.56 | (5) e13 = e10
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (5) implies:
% 83.56/12.56 | (6) e13 = e10
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (6) imply:
% 83.56/12.56 | (7) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (7) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #23 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_22_8 = e10 | all_22_11 = e10
% 83.56/12.56 (2) ~ (e11 = e10)
% 83.56/12.56 (3) all_22_8 = e11
% 83.56/12.56 (4) ~ (e13 = e10)
% 83.56/12.56 (5) all_22_11 = e13
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (1) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.56 | | (6) all_22_8 = e10
% 83.56/12.56 | |
% 83.56/12.56 | | COMBINE_EQS: (3), (6) imply:
% 83.56/12.56 | | (7) e11 = e10
% 83.56/12.56 | |
% 83.56/12.56 | | SIMP: (7) implies:
% 83.56/12.56 | | (8) e11 = e10
% 83.56/12.56 | |
% 83.56/12.56 | | REDUCE: (2), (8) imply:
% 83.56/12.56 | | (9) $false
% 83.56/12.56 | |
% 83.56/12.56 | | CLOSE: (9) is inconsistent.
% 83.56/12.56 | |
% 83.56/12.56 | Case 2:
% 83.56/12.56 | |
% 83.56/12.56 | | (10) all_22_11 = e10
% 83.56/12.56 | |
% 83.56/12.56 | | COMBINE_EQS: (5), (10) imply:
% 83.56/12.56 | | (11) e13 = e10
% 83.56/12.56 | |
% 83.56/12.56 | | SIMP: (11) implies:
% 83.56/12.56 | | (12) e13 = e10
% 83.56/12.56 | |
% 83.56/12.56 | | REDUCE: (4), (12) imply:
% 83.56/12.56 | | (13) $false
% 83.56/12.56 | |
% 83.56/12.56 | | CLOSE: (13) is inconsistent.
% 83.56/12.56 | |
% 83.56/12.56 | End of split
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #24 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) ~ (e12 = e11)
% 83.56/12.56 (2) all_26_21 = e11
% 83.56/12.56 (3) all_26_24 = e13
% 83.56/12.56 (4) ~ (e13 = e11)
% 83.56/12.56 (5) (all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 83.56/12.56 e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)) | (all_26_21 =
% 83.56/12.56 e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.56/12.56 (all_26_6 = e11) & ~ (all_26_7 = e10)) | (all_26_24 = e11 & all_26_27
% 83.56/12.56 = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~ (all_26_10 =
% 83.56/12.56 e11) & ~ (all_26_11 = e10))
% 83.56/12.56 (6) all_26_20 = e12
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (5) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.56 | | (7) all_26_20 = e11 & all_26_23 = e11 & ~ (all_26_8 = e13) & ~
% 83.56/12.56 | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)
% 83.56/12.56 | |
% 83.56/12.56 | | ALPHA: (7) implies:
% 83.56/12.56 | | (8) all_26_20 = e11
% 83.56/12.56 | |
% 83.56/12.56 | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #25.
% 83.56/12.56 | |
% 83.56/12.56 | Case 2:
% 83.56/12.56 | |
% 83.56/12.56 | | (9) (all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 83.56/12.56 | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)) |
% 83.56/12.56 | | (all_26_24 = e11 & all_26_27 = e11 & ~ (all_26_8 = e13) & ~
% 83.56/12.56 | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10))
% 83.56/12.56 | |
% 83.56/12.56 | | REF_CLOSE: (1), (2), (3), (4), (9) are inconsistent by sub-proof #31.
% 83.56/12.56 | |
% 83.56/12.56 | End of split
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #25 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_26_20 = e12
% 83.56/12.56 (2) all_26_20 = e11
% 83.56/12.56 (3) ~ (e12 = e11)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.56 | (4) e12 = e11
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (4) implies:
% 83.56/12.56 | (5) e12 = e11
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (5) imply:
% 83.56/12.56 | (6) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (6) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #26 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 83.56/12.56 e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)
% 83.56/12.56 (2) all_26_17 = e13
% 83.56/12.56 (3) ~ (e13 = e11)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | ALPHA: (1) implies:
% 83.56/12.56 | (4) all_26_17 = e11
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.56 | (5) e13 = e11
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (5) imply:
% 83.56/12.56 | (6) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (6) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #27 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.56/12.56 e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)
% 83.56/12.56 (2) all_26_22 = all_12_2
% 83.56/12.56 (3) ~ (all_12_2 = e13)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | ALPHA: (1) implies:
% 83.56/12.56 | (4) all_26_22 = e13
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.56 | (5) all_12_2 = e13
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (5) implies:
% 83.56/12.56 | (6) all_12_2 = e13
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (6) imply:
% 83.56/12.56 | (7) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (7) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #28 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_22_3 = e13
% 83.56/12.56 (2) all_22_3 = e12
% 83.56/12.56 (3) ~ (e13 = e12)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.56 | (4) e13 = e12
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (4) implies:
% 83.56/12.56 | (5) e13 = e12
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (5) imply:
% 83.56/12.56 | (6) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (6) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #29 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_26_28 = e11
% 83.56/12.56 (2) ~ (e13 = e11)
% 83.56/12.56 (3) ~ (e13 = e12)
% 83.56/12.56 (4) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 = e12) & ~
% 83.56/12.56 (all_26_2 = e11) & ~ (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 83.56/12.56 (all_26_4 = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.56/12.56 (all_26_7 = e10))
% 83.56/12.56 (5) all_26_29 = e13
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (4) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.56 | | (6) all_26_28 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 = e12) & ~
% 83.56/12.56 | | (all_26_2 = e11) & ~ (all_26_3 = e10)
% 83.56/12.56 | |
% 83.56/12.56 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #30.
% 83.56/12.56 | |
% 83.56/12.56 | Case 2:
% 83.56/12.56 | |
% 83.56/12.56 | | (7) all_26_29 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.56/12.56 | | (all_26_6 = e11) & ~ (all_26_7 = e10)
% 83.56/12.56 | |
% 83.56/12.56 | | ALPHA: (7) implies:
% 83.56/12.56 | | (8) all_26_29 = e12
% 83.56/12.56 | |
% 83.56/12.56 | | COMBINE_EQS: (5), (8) imply:
% 83.56/12.56 | | (9) e13 = e12
% 83.56/12.56 | |
% 83.56/12.56 | | REDUCE: (3), (9) imply:
% 83.56/12.56 | | (10) $false
% 83.56/12.56 | |
% 83.56/12.56 | | CLOSE: (10) is inconsistent.
% 83.56/12.56 | |
% 83.56/12.56 | End of split
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #30 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) all_26_28 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 = e12) & ~
% 83.56/12.56 (all_26_2 = e11) & ~ (all_26_3 = e10)
% 83.56/12.56 (2) all_26_28 = e11
% 83.56/12.56 (3) ~ (e13 = e11)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | ALPHA: (1) implies:
% 83.56/12.56 | (4) all_26_28 = e13
% 83.56/12.56 |
% 83.56/12.56 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.56 | (5) e13 = e11
% 83.56/12.56 |
% 83.56/12.56 | SIMP: (5) implies:
% 83.56/12.56 | (6) e13 = e11
% 83.56/12.56 |
% 83.56/12.56 | REDUCE: (3), (6) imply:
% 83.56/12.56 | (7) $false
% 83.56/12.56 |
% 83.56/12.56 | CLOSE: (7) is inconsistent.
% 83.56/12.56 |
% 83.56/12.56 End of proof
% 83.56/12.56
% 83.56/12.56 Sub-proof #31 shows that the following formulas are inconsistent:
% 83.56/12.56 ----------------------------------------------------------------
% 83.56/12.56 (1) ~ (e12 = e11)
% 83.56/12.56 (2) all_26_21 = e11
% 83.56/12.56 (3) (all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 83.56/12.56 e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)) | (all_26_24 = e11
% 83.56/12.56 & all_26_27 = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 = e12) & ~
% 83.56/12.56 (all_26_10 = e11) & ~ (all_26_11 = e10))
% 83.56/12.56 (4) all_26_24 = e13
% 83.56/12.56 (5) ~ (e13 = e11)
% 83.56/12.56
% 83.56/12.56 Begin of proof
% 83.56/12.56 |
% 83.56/12.56 | BETA: splitting (3) gives:
% 83.56/12.56 |
% 83.56/12.56 | Case 1:
% 83.56/12.56 | |
% 83.56/12.57 | | (6) all_26_21 = e12 & all_26_26 = e12 & ~ (all_26_4 = e13) & ~
% 83.56/12.57 | | (all_26_5 = e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)
% 83.56/12.57 | |
% 83.56/12.57 | | ALPHA: (6) implies:
% 83.56/12.57 | | (7) all_26_21 = e12
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (7) imply:
% 83.56/12.57 | | (8) e12 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (1), (8) imply:
% 83.56/12.57 | | (9) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (9) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | Case 2:
% 83.56/12.57 | |
% 83.56/12.57 | | (10) all_26_24 = e11 & all_26_27 = e11 & ~ (all_26_8 = e13) & ~
% 83.56/12.57 | | (all_26_9 = e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)
% 83.56/12.57 | |
% 83.56/12.57 | | ALPHA: (10) implies:
% 83.56/12.57 | | (11) all_26_24 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (4), (11) imply:
% 83.56/12.57 | | (12) e13 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (5), (12) imply:
% 83.56/12.57 | | (13) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (13) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | End of split
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #32 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_18 = e13 & all_26_25 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.56/12.57 e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)
% 83.56/12.57 (2) all_26_18 = e12
% 83.56/12.57 (3) ~ (e13 = e12)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_18 = e13
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) e13 = e12
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (5) implies:
% 83.56/12.57 | (6) e13 = e12
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (6) imply:
% 83.56/12.57 | (7) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (7) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #33 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 83.56/12.57 e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)
% 83.56/12.57 (2) all_26_16 = e10
% 83.56/12.57 (3) ~ (e12 = e10)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_16 = e12
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) e12 = e10
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (5) implies:
% 83.56/12.57 | (6) e12 = e10
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (6) imply:
% 83.56/12.57 | (7) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (7) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #34 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_22_6 = all_12_2
% 83.56/12.57 (2) all_22_6 = e13
% 83.56/12.57 (3) ~ (all_12_2 = e13)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.57 | (4) all_12_2 = e13
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (4) implies:
% 83.56/12.57 | (5) all_12_2 = e13
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #35 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_16_7 = all_12_13
% 83.56/12.57 (2) all_16_7 = e12
% 83.56/12.57 (3) ~ (all_12_13 = e12)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.57 | (4) all_12_13 = e12
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (4) implies:
% 83.56/12.57 | (5) all_12_13 = e12
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #36 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_22_10 = all_12_13
% 83.56/12.57 (2) all_22_10 = e13
% 83.56/12.57 (3) ~ (all_12_13 = e13)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.57 | (4) all_12_13 = e13
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (4) implies:
% 83.56/12.57 | (5) all_12_13 = e13
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #37 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_16_4 = e11 | all_16_4 = e10
% 83.56/12.57 (2) all_16_4 = all_12_1
% 83.56/12.57 (3) ~ (all_12_1 = e11)
% 83.56/12.57 (4) ~ (all_12_1 = e10)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | BETA: splitting (1) gives:
% 83.56/12.57 |
% 83.56/12.57 | Case 1:
% 83.56/12.57 | |
% 83.56/12.57 | | (5) all_16_4 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (5) imply:
% 83.56/12.57 | | (6) all_12_1 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | SIMP: (6) implies:
% 83.56/12.57 | | (7) all_12_1 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (3), (7) imply:
% 83.56/12.57 | | (8) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (8) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | Case 2:
% 83.56/12.57 | |
% 83.56/12.57 | | (9) all_16_4 = e10
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (9) imply:
% 83.56/12.57 | | (10) all_12_1 = e10
% 83.56/12.57 | |
% 83.56/12.57 | | SIMP: (10) implies:
% 83.56/12.57 | | (11) all_12_1 = e10
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (4), (11) imply:
% 83.56/12.57 | | (12) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (12) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | End of split
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #38 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_16_13 = e11 | all_16_13 = e10
% 83.56/12.57 (2) all_16_13 = all_12_7
% 83.56/12.57 (3) ~ (all_12_7 = e11)
% 83.56/12.57 (4) ~ (all_12_7 = e10)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | BETA: splitting (1) gives:
% 83.56/12.57 |
% 83.56/12.57 | Case 1:
% 83.56/12.57 | |
% 83.56/12.57 | | (5) all_16_13 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (5) imply:
% 83.56/12.57 | | (6) all_12_7 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (3), (6) imply:
% 83.56/12.57 | | (7) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (7) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | Case 2:
% 83.56/12.57 | |
% 83.56/12.57 | | (8) all_16_13 = e10
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (8) imply:
% 83.56/12.57 | | (9) all_12_7 = e10
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (4), (9) imply:
% 83.56/12.57 | | (10) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (10) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | End of split
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #39 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_29 = e13
% 83.56/12.57 (2) all_26_29 = e12
% 83.56/12.57 (3) ~ (e13 = e12)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.57 | (4) e13 = e12
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (4) implies:
% 83.56/12.57 | (5) e13 = e12
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #40 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_16_9 = e11 | all_16_9 = e10
% 83.56/12.57 (2) all_16_9 = all_12_6
% 83.56/12.57 (3) ~ (all_12_6 = e11)
% 83.56/12.57 (4) ~ (all_12_6 = e10)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | BETA: splitting (1) gives:
% 83.56/12.57 |
% 83.56/12.57 | Case 1:
% 83.56/12.57 | |
% 83.56/12.57 | | (5) all_16_9 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (5) imply:
% 83.56/12.57 | | (6) all_12_6 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (3), (6) imply:
% 83.56/12.57 | | (7) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (7) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | Case 2:
% 83.56/12.57 | |
% 83.56/12.57 | | (8) all_16_9 = e10
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (8) imply:
% 83.56/12.57 | | (9) all_12_6 = e10
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (4), (9) imply:
% 83.56/12.57 | | (10) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (10) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | End of split
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #41 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) ~ (all_12_11 = e12)
% 83.56/12.57 (2) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 83.56/12.57 (3) all_16_14 = all_12_11
% 83.56/12.57 (4) ~ (all_12_11 = e10)
% 83.56/12.57 (5) ~ (all_12_11 = e11)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | BETA: splitting (2) gives:
% 83.56/12.57 |
% 83.56/12.57 | Case 1:
% 83.56/12.57 | |
% 83.56/12.57 | | (6) all_16_14 = e12
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (3), (6) imply:
% 83.56/12.57 | | (7) all_12_11 = e12
% 83.56/12.57 | |
% 83.56/12.57 | | SIMP: (7) implies:
% 83.56/12.57 | | (8) all_12_11 = e12
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (1), (8) imply:
% 83.56/12.57 | | (9) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (9) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | Case 2:
% 83.56/12.57 | |
% 83.56/12.57 | | (10) all_16_14 = e11 | all_16_14 = e10
% 83.56/12.57 | |
% 83.56/12.57 | | BETA: splitting (10) gives:
% 83.56/12.57 | |
% 83.56/12.57 | | Case 1:
% 83.56/12.57 | | |
% 83.56/12.57 | | | (11) all_16_14 = e11
% 83.56/12.57 | | |
% 83.56/12.57 | | | COMBINE_EQS: (3), (11) imply:
% 83.56/12.57 | | | (12) all_12_11 = e11
% 83.56/12.57 | | |
% 83.56/12.57 | | | SIMP: (12) implies:
% 83.56/12.57 | | | (13) all_12_11 = e11
% 83.56/12.57 | | |
% 83.56/12.57 | | | REDUCE: (5), (13) imply:
% 83.56/12.57 | | | (14) $false
% 83.56/12.57 | | |
% 83.56/12.57 | | | CLOSE: (14) is inconsistent.
% 83.56/12.57 | | |
% 83.56/12.57 | | Case 2:
% 83.56/12.57 | | |
% 83.56/12.57 | | | (15) all_16_14 = e10
% 83.56/12.57 | | |
% 83.56/12.57 | | | COMBINE_EQS: (3), (15) imply:
% 83.56/12.57 | | | (16) all_12_11 = e10
% 83.56/12.57 | | |
% 83.56/12.57 | | | SIMP: (16) implies:
% 83.56/12.57 | | | (17) all_12_11 = e10
% 83.56/12.57 | | |
% 83.56/12.57 | | | REDUCE: (4), (17) imply:
% 83.56/12.57 | | | (18) $false
% 83.56/12.57 | | |
% 83.56/12.57 | | | CLOSE: (18) is inconsistent.
% 83.56/12.57 | | |
% 83.56/12.57 | | End of split
% 83.56/12.57 | |
% 83.56/12.57 | End of split
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #42 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_22_12 = all_12_3
% 83.56/12.57 (2) all_22_12 = e13
% 83.56/12.57 (3) ~ (all_12_3 = e13)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.57 | (4) all_12_3 = e13
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (4) implies:
% 83.56/12.57 | (5) all_12_3 = e13
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #43 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_28 = e11
% 83.56/12.57 (2) ~ (e13 = e11)
% 83.56/12.57 (3) ~ (e13 = e12)
% 83.56/12.57 (4) (all_26_28 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 = e12) & ~
% 83.56/12.57 (all_26_2 = e11) & ~ (all_26_3 = e10)) | (all_26_29 = e12 & ~
% 83.56/12.57 (all_26_4 = e13) & ~ (all_26_5 = e12) & ~ (all_26_6 = e11) & ~
% 83.56/12.57 (all_26_7 = e10))
% 83.56/12.57 (5) all_26_29 = e13
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | BETA: splitting (4) gives:
% 83.56/12.57 |
% 83.56/12.57 | Case 1:
% 83.56/12.57 | |
% 83.56/12.57 | | (6) all_26_28 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 = e12) & ~
% 83.56/12.57 | | (all_26_2 = e11) & ~ (all_26_3 = e10)
% 83.56/12.57 | |
% 83.56/12.57 | | ALPHA: (6) implies:
% 83.56/12.57 | | (7) all_26_28 = e13
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (1), (7) imply:
% 83.56/12.57 | | (8) e13 = e11
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (2), (8) imply:
% 83.56/12.57 | | (9) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (9) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | Case 2:
% 83.56/12.57 | |
% 83.56/12.57 | | (10) all_26_29 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.56/12.57 | | (all_26_6 = e11) & ~ (all_26_7 = e10)
% 83.56/12.57 | |
% 83.56/12.57 | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #44.
% 83.56/12.57 | |
% 83.56/12.57 | End of split
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #44 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_29 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 = e12) & ~
% 83.56/12.57 (all_26_6 = e11) & ~ (all_26_7 = e10)
% 83.56/12.57 (2) all_26_29 = e13
% 83.56/12.57 (3) ~ (e13 = e12)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_29 = e12
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) e13 = e12
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (5) implies:
% 83.56/12.57 | (6) e13 = e12
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (6) imply:
% 83.56/12.57 | (7) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (7) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #45 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_24 = e11 & all_26_27 = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 83.56/12.57 e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)
% 83.56/12.57 (2) all_26_27 = e13
% 83.56/12.57 (3) ~ (e13 = e11)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_27 = e11
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) e13 = e11
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (5) implies:
% 83.56/12.57 | (6) e13 = e11
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (6) imply:
% 83.56/12.57 | (7) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (7) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #46 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_20 = e12 & all_26_23 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 83.56/12.57 e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)
% 83.56/12.57 (2) all_26_20 = all_12_9
% 83.56/12.57 (3) ~ (all_12_9 = e12)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_20 = e12
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) all_12_9 = e12
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (5) implies:
% 83.56/12.57 | (6) all_12_9 = e12
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (6) imply:
% 83.56/12.57 | (7) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (7) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #47 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_17 = e11 & all_26_22 = e11 & ~ (all_26_8 = e13) & ~ (all_26_9 =
% 83.56/12.57 e12) & ~ (all_26_10 = e11) & ~ (all_26_11 = e10)
% 83.56/12.57 (2) all_26_17 = e12
% 83.56/12.57 (3) ~ (e12 = e11)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_17 = e11
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) e12 = e11
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (5) implies:
% 83.56/12.57 | (6) e12 = e11
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (6) imply:
% 83.56/12.57 | (7) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (7) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #48 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_17 = e13 & all_26_22 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.56/12.57 e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)
% 83.56/12.57 (2) all_26_17 = e12
% 83.56/12.57 (3) ~ (e13 = e12)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_17 = e13
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) e13 = e12
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #49 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_16 = e12 & all_26_19 = e12 & ~ (all_26_4 = e13) & ~ (all_26_5 =
% 83.56/12.57 e12) & ~ (all_26_6 = e11) & ~ (all_26_7 = e10)
% 83.56/12.57 (2) all_26_19 = e10
% 83.56/12.57 (3) ~ (e12 = e10)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_19 = e12
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) e12 = e10
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #50 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_26_16 = e13 & all_26_19 = e13 & ~ (all_26_0 = e13) & ~ (all_26_1 =
% 83.56/12.57 e12) & ~ (all_26_2 = e11) & ~ (all_26_3 = e10)
% 83.56/12.57 (2) all_26_19 = e10
% 83.56/12.57 (3) ~ (e13 = e10)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | ALPHA: (1) implies:
% 83.56/12.57 | (4) all_26_19 = e13
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.57 | (5) e13 = e10
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #51 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_22_0 = e11
% 83.56/12.57 (2) all_22_0 = e10
% 83.56/12.57 (3) ~ (e11 = e10)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.57 | (4) e11 = e10
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (4) implies:
% 83.56/12.57 | (5) e11 = e10
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #52 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_22_2 = all_12_1
% 83.56/12.57 (2) all_22_2 = e13
% 83.56/12.57 (3) ~ (all_12_1 = e13)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.57 | (4) all_12_1 = e13
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (4) implies:
% 83.56/12.57 | (5) all_12_1 = e13
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #53 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_16_4 = all_12_1
% 83.56/12.57 (2) all_16_4 = e13
% 83.56/12.57 (3) ~ (all_12_1 = e13)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.57 | (4) all_12_1 = e13
% 83.56/12.57 |
% 83.56/12.57 | SIMP: (4) implies:
% 83.56/12.57 | (5) all_12_1 = e13
% 83.56/12.57 |
% 83.56/12.57 | REDUCE: (3), (5) imply:
% 83.56/12.57 | (6) $false
% 83.56/12.57 |
% 83.56/12.57 | CLOSE: (6) is inconsistent.
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #54 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_18_3 = e21 | all_18_3 = e20
% 83.56/12.57 (2) all_18_3 = all_14_12
% 83.56/12.57 (3) ~ (all_14_12 = e21)
% 83.56/12.57 (4) ~ (all_14_12 = e20)
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | BETA: splitting (1) gives:
% 83.56/12.57 |
% 83.56/12.57 | Case 1:
% 83.56/12.57 | |
% 83.56/12.57 | | (5) all_18_3 = e21
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (5) imply:
% 83.56/12.57 | | (6) all_14_12 = e21
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (3), (6) imply:
% 83.56/12.57 | | (7) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (7) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | Case 2:
% 83.56/12.57 | |
% 83.56/12.57 | | (8) all_18_3 = e20
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (2), (8) imply:
% 83.56/12.57 | | (9) all_14_12 = e20
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (4), (9) imply:
% 83.56/12.57 | | (10) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (10) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | End of split
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #55 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) all_24_21 = e21
% 83.56/12.57 (2) ~ (e23 = e21)
% 83.56/12.57 (3) all_24_24 = e23
% 83.56/12.57 (4) ~ (e22 = e21)
% 83.56/12.57 (5) (all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 83.56/12.57 e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)) | (all_24_24 = e21
% 83.56/12.57 & all_24_27 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 83.56/12.57 (all_24_10 = e21) & ~ (all_24_11 = e20))
% 83.56/12.57
% 83.56/12.57 Begin of proof
% 83.56/12.57 |
% 83.56/12.57 | BETA: splitting (5) gives:
% 83.56/12.57 |
% 83.56/12.57 | Case 1:
% 83.56/12.57 | |
% 83.56/12.57 | | (6) all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.57 | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.57 | |
% 83.56/12.57 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #61.
% 83.56/12.57 | |
% 83.56/12.57 | Case 2:
% 83.56/12.57 | |
% 83.56/12.57 | | (7) all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 = e23) & ~
% 83.56/12.57 | | (all_24_9 = e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.57 | |
% 83.56/12.57 | | ALPHA: (7) implies:
% 83.56/12.57 | | (8) all_24_24 = e21
% 83.56/12.57 | |
% 83.56/12.57 | | COMBINE_EQS: (3), (8) imply:
% 83.56/12.57 | | (9) e23 = e21
% 83.56/12.57 | |
% 83.56/12.57 | | SIMP: (9) implies:
% 83.56/12.57 | | (10) e23 = e21
% 83.56/12.57 | |
% 83.56/12.57 | | REDUCE: (2), (10) imply:
% 83.56/12.57 | | (11) $false
% 83.56/12.57 | |
% 83.56/12.57 | | CLOSE: (11) is inconsistent.
% 83.56/12.57 | |
% 83.56/12.57 | End of split
% 83.56/12.57 |
% 83.56/12.57 End of proof
% 83.56/12.57
% 83.56/12.57 Sub-proof #56 shows that the following formulas are inconsistent:
% 83.56/12.57 ----------------------------------------------------------------
% 83.56/12.57 (1) ~ (e23 = e21)
% 83.56/12.58 (2) ~ (e23 = e22)
% 83.56/12.58 (3) all_20_4 = e23
% 83.56/12.58 (4) ~ (e22 = e21)
% 83.56/12.58 (5) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.58 (6) all_20_9 = all_14_12
% 83.56/12.58 (7) (all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 83.56/12.58 e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)) | (all_24_20 = e22
% 83.56/12.58 & all_24_23 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.58 (all_24_6 = e21) & ~ (all_24_7 = e20))
% 83.56/12.58 (8) all_20_1 = e20
% 83.56/12.58 (9) all_20_0 = e21
% 83.56/12.58 (10) all_24_18 = e22
% 83.56/12.58 (11) ~ (e23 = e20)
% 83.56/12.58 (12) all_24_23 = e21
% 83.56/12.58 (13) ~ (all_14_12 = e23)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (7) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (14) all_24_18 = e23 & all_24_25 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.58 | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.58 | |
% 83.56/12.58 | | ALPHA: (14) implies:
% 83.56/12.58 | | (15) all_24_18 = e23
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (10), (15) imply:
% 83.56/12.58 | | (16) e23 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (11), (13), (16) are
% 83.56/12.58 | | inconsistent by sub-proof #62.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (17) all_24_20 = e22 & all_24_23 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.58 | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.58 | |
% 83.56/12.58 | | ALPHA: (17) implies:
% 83.56/12.58 | | (18) all_24_23 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (12), (18) imply:
% 83.56/12.58 | | (19) e22 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (4), (19) imply:
% 83.56/12.58 | | (20) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (20) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | End of split
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #57 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.58 e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.58 (2) all_24_22 = e22
% 83.56/12.58 (3) ~ (e22 = e21)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | ALPHA: (1) implies:
% 83.56/12.58 | (4) all_24_22 = e21
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.58 | (5) e22 = e21
% 83.56/12.58 |
% 83.56/12.58 | SIMP: (5) implies:
% 83.56/12.58 | (6) e22 = e21
% 83.56/12.58 |
% 83.56/12.58 | REDUCE: (3), (6) imply:
% 83.56/12.58 | (7) $false
% 83.56/12.58 |
% 83.56/12.58 | CLOSE: (7) is inconsistent.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #58 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) ~ (e23 = e21)
% 83.56/12.58 (2) all_24_22 = e22
% 83.56/12.58 (3) ~ (e23 = e22)
% 83.56/12.58 (4) all_20_4 = e23
% 83.56/12.58 (5) (all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 83.56/12.58 e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)) | (all_24_16 = e22
% 83.56/12.58 & all_24_19 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.58 (all_24_6 = e21) & ~ (all_24_7 = e20)) | (all_24_17 = e23 & all_24_22
% 83.56/12.58 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 = e22) & ~ (all_24_2 = e21)
% 83.56/12.58 & ~ (all_24_3 = e20))
% 83.56/12.58 (6) ~ (e22 = e20)
% 83.56/12.58 (7) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.58 (8) all_20_9 = all_14_12
% 83.56/12.58 (9) all_24_19 = e20
% 83.56/12.58 (10) all_20_1 = e20
% 83.56/12.58 (11) all_20_0 = e21
% 83.56/12.58 (12) ~ (e23 = e20)
% 83.56/12.58 (13) ~ (all_14_12 = e23)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (5) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (14) all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.58 | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.58 | |
% 83.56/12.58 | | REF_CLOSE: (9), (12), (14) are inconsistent by sub-proof #90.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (15) (all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.58 | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)) |
% 83.56/12.58 | | (all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.58 | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20))
% 83.56/12.58 | |
% 83.56/12.58 | | BETA: splitting (15) gives:
% 83.56/12.58 | |
% 83.56/12.58 | | Case 1:
% 83.56/12.58 | | |
% 83.56/12.58 | | | (16) all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 = e23) & ~
% 83.56/12.58 | | | (all_24_5 = e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.58 | | |
% 83.56/12.58 | | | REF_CLOSE: (6), (9), (16) are inconsistent by sub-proof #89.
% 83.56/12.58 | | |
% 83.56/12.58 | | Case 2:
% 83.56/12.58 | | |
% 83.56/12.58 | | | (17) all_24_17 = e23 & all_24_22 = e23 & ~ (all_24_0 = e23) & ~
% 83.56/12.58 | | | (all_24_1 = e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.58 | | |
% 83.56/12.58 | | | ALPHA: (17) implies:
% 83.56/12.58 | | | (18) all_24_22 = e23
% 83.56/12.58 | | |
% 83.56/12.58 | | | COMBINE_EQS: (2), (18) imply:
% 83.56/12.58 | | | (19) e23 = e22
% 83.56/12.58 | | |
% 83.56/12.58 | | | COMBINE_EQS: (4), (19) imply:
% 83.56/12.58 | | | (20) all_20_4 = e22
% 83.56/12.58 | | |
% 83.56/12.58 | | | REF_CLOSE: (1), (3), (7), (8), (10), (11), (12), (13), (20) are
% 83.56/12.58 | | | inconsistent by sub-proof #67.
% 83.56/12.58 | | |
% 83.56/12.58 | | End of split
% 83.56/12.58 | |
% 83.56/12.58 | End of split
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #59 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_18_6 = all_14_9
% 83.56/12.58 (2) all_18_6 = e20
% 83.56/12.58 (3) ~ (all_14_9 = e20)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.58 | (4) all_14_9 = e20
% 83.56/12.58 |
% 83.56/12.58 | SIMP: (4) implies:
% 83.56/12.58 | (5) all_14_9 = e20
% 83.56/12.58 |
% 83.56/12.58 | REDUCE: (3), (5) imply:
% 83.56/12.58 | (6) $false
% 83.56/12.58 |
% 83.56/12.58 | CLOSE: (6) is inconsistent.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #60 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) ~ (e23 = e21)
% 83.56/12.58 (2) ~ (e23 = e22)
% 83.56/12.58 (3) all_20_4 = e23
% 83.56/12.58 (4) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.58 (5) all_24_28 = e21
% 83.56/12.58 (6) all_20_9 = all_14_12
% 83.56/12.58 (7) (all_24_28 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 = e22) & ~
% 83.56/12.58 (all_24_2 = e21) & ~ (all_24_3 = e20)) | (all_24_29 = e22 & ~
% 83.56/12.58 (all_24_4 = e23) & ~ (all_24_5 = e22) & ~ (all_24_6 = e21) & ~
% 83.56/12.58 (all_24_7 = e20))
% 83.56/12.58 (8) all_20_1 = e20
% 83.56/12.58 (9) all_20_0 = e21
% 83.56/12.58 (10) ~ (e23 = e20)
% 83.56/12.58 (11) ~ (all_14_12 = e23)
% 83.56/12.58 (12) all_24_29 = e23
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (7) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (13) all_24_28 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 = e22) & ~
% 83.56/12.58 | | (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.58 | |
% 83.56/12.58 | | REF_CLOSE: (1), (5), (13) are inconsistent by sub-proof #84.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (14) all_24_29 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 = e22) & ~
% 83.56/12.58 | | (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.58 | |
% 83.56/12.58 | | ALPHA: (14) implies:
% 83.56/12.58 | | (15) all_24_29 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (12), (15) imply:
% 83.56/12.58 | | (16) e23 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (11), (16) are
% 83.56/12.58 | | inconsistent by sub-proof #62.
% 83.56/12.58 | |
% 83.56/12.58 | End of split
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #61 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_24_21 = e22 & all_24_26 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 83.56/12.58 e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.58 (2) all_24_21 = e21
% 83.56/12.58 (3) ~ (e22 = e21)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | ALPHA: (1) implies:
% 83.56/12.58 | (4) all_24_21 = e22
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.58 | (5) e22 = e21
% 83.56/12.58 |
% 83.56/12.58 | SIMP: (5) implies:
% 83.56/12.58 | (6) e22 = e21
% 83.56/12.58 |
% 83.56/12.58 | REDUCE: (3), (6) imply:
% 83.56/12.58 | (7) $false
% 83.56/12.58 |
% 83.56/12.58 | CLOSE: (7) is inconsistent.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #62 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) ~ (e23 = e21)
% 83.56/12.58 (2) ~ (e23 = e22)
% 83.56/12.58 (3) all_20_4 = e23
% 83.56/12.58 (4) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.58 (5) all_20_9 = all_14_12
% 83.56/12.58 (6) all_20_1 = e20
% 83.56/12.58 (7) e23 = e22
% 83.56/12.58 (8) all_20_0 = e21
% 83.56/12.58 (9) ~ (e23 = e20)
% 83.56/12.58 (10) ~ (all_14_12 = e23)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | SIMP: (7) implies:
% 83.56/12.58 | (11) e23 = e22
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (3), (11) imply:
% 83.56/12.58 | (12) all_20_4 = e22
% 83.56/12.58 |
% 83.56/12.58 | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (12) are inconsistent by
% 83.56/12.58 | sub-proof #67.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #63 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 83.56/12.58 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 83.56/12.58 (2) op2(e21, e23) = all_24_11
% 83.56/12.58 (3) op2(e21, e23) = e20
% 83.56/12.58 (4) ~ (all_24_11 = e20)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | GROUND_INST: instantiating (1) with e20, all_24_11, e23, e21, simplifying with
% 83.56/12.58 | (2), (3) gives:
% 83.56/12.58 | (5) all_24_11 = e20
% 83.56/12.58 |
% 83.56/12.58 | REDUCE: (4), (5) imply:
% 83.56/12.58 | (6) $false
% 83.56/12.58 |
% 83.56/12.58 | CLOSE: (6) is inconsistent.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #64 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 83.56/12.58 e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.58 (2) all_24_16 = e20
% 83.56/12.58 (3) ~ (e22 = e20)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | ALPHA: (1) implies:
% 83.56/12.58 | (4) all_24_16 = e22
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.58 | (5) e22 = e20
% 83.56/12.58 |
% 83.56/12.58 | SIMP: (5) implies:
% 83.56/12.58 | (6) e22 = e20
% 83.56/12.58 |
% 83.56/12.58 | REDUCE: (3), (6) imply:
% 83.56/12.58 | (7) $false
% 83.56/12.58 |
% 83.56/12.58 | CLOSE: (7) is inconsistent.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #65 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_18_4 = all_14_1
% 83.56/12.58 (2) all_18_4 = e23
% 83.56/12.58 (3) ~ (all_14_1 = e23)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.58 | (4) all_14_1 = e23
% 83.56/12.58 |
% 83.56/12.58 | SIMP: (4) implies:
% 83.56/12.58 | (5) all_14_1 = e23
% 83.56/12.58 |
% 83.56/12.58 | REDUCE: (3), (5) imply:
% 83.56/12.58 | (6) $false
% 83.56/12.58 |
% 83.56/12.58 | CLOSE: (6) is inconsistent.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #66 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) ~ (e23 = e21)
% 83.56/12.58 (2) ~ (e23 = e22)
% 83.56/12.58 (3) all_20_4 = e23
% 83.56/12.58 (4) all_20_9 = e22
% 83.56/12.58 (5) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.58 (6) all_20_9 = all_14_12
% 83.56/12.58 (7) all_20_1 = e20
% 83.56/12.58 (8) all_20_0 = e21
% 83.56/12.58 (9) ~ (e23 = e20)
% 83.56/12.58 (10) ~ (all_14_12 = e23)
% 83.56/12.58 (11) all_20_9 = e23
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (4), (11) imply:
% 83.56/12.58 | (12) e23 = e22
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (3), (12) imply:
% 83.56/12.58 | (13) all_20_4 = e22
% 83.56/12.58 |
% 83.56/12.58 | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (13) are inconsistent by
% 83.56/12.58 | sub-proof #67.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #67 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) ~ (e23 = e21)
% 83.56/12.58 (2) ~ (e23 = e22)
% 83.56/12.58 (3) all_20_4 = e22
% 83.56/12.58 (4) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.58 (5) all_20_9 = all_14_12
% 83.56/12.58 (6) all_20_1 = e20
% 83.56/12.58 (7) all_20_0 = e21
% 83.56/12.58 (8) ~ (e23 = e20)
% 83.56/12.58 (9) ~ (all_14_12 = e23)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (4) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (10) all_20_0 = e23
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (7), (10) imply:
% 83.56/12.58 | | (11) e23 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (1), (11) imply:
% 83.56/12.58 | | (12) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (12) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (13) all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.58 | |
% 83.56/12.58 | | BETA: splitting (13) gives:
% 83.56/12.58 | |
% 83.56/12.58 | | Case 1:
% 83.56/12.58 | | |
% 83.56/12.58 | | | (14) all_20_1 = e23
% 83.56/12.58 | | |
% 83.56/12.58 | | | COMBINE_EQS: (6), (14) imply:
% 83.56/12.58 | | | (15) e23 = e20
% 83.56/12.58 | | |
% 83.56/12.58 | | | REDUCE: (8), (15) imply:
% 83.56/12.58 | | | (16) $false
% 83.56/12.58 | | |
% 83.56/12.58 | | | CLOSE: (16) is inconsistent.
% 83.56/12.58 | | |
% 83.56/12.58 | | Case 2:
% 83.56/12.58 | | |
% 83.56/12.58 | | | (17) all_20_4 = e23 | all_20_9 = e23
% 83.56/12.58 | | |
% 83.56/12.58 | | | BETA: splitting (17) gives:
% 83.56/12.58 | | |
% 83.56/12.58 | | | Case 1:
% 83.56/12.58 | | | |
% 83.56/12.58 | | | | (18) all_20_4 = e23
% 83.56/12.58 | | | |
% 83.56/12.58 | | | | COMBINE_EQS: (3), (18) imply:
% 83.56/12.58 | | | | (19) e23 = e22
% 83.56/12.58 | | | |
% 83.56/12.58 | | | | REDUCE: (2), (19) imply:
% 83.56/12.58 | | | | (20) $false
% 83.56/12.58 | | | |
% 83.56/12.58 | | | | CLOSE: (20) is inconsistent.
% 83.56/12.58 | | | |
% 83.56/12.58 | | | Case 2:
% 83.56/12.58 | | | |
% 83.56/12.58 | | | | (21) all_20_9 = e23
% 83.56/12.58 | | | |
% 83.56/12.58 | | | | COMBINE_EQS: (5), (21) imply:
% 83.56/12.58 | | | | (22) all_14_12 = e23
% 83.56/12.58 | | | |
% 83.56/12.58 | | | | REDUCE: (9), (22) imply:
% 83.56/12.58 | | | | (23) $false
% 83.56/12.58 | | | |
% 83.56/12.58 | | | | CLOSE: (23) is inconsistent.
% 83.56/12.58 | | | |
% 83.56/12.58 | | | End of split
% 83.56/12.58 | | |
% 83.56/12.58 | | End of split
% 83.56/12.58 | |
% 83.56/12.58 | End of split
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #68 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_18_2 = e21 | all_18_2 = e20
% 83.56/12.58 (2) all_18_2 = all_14_8
% 83.56/12.58 (3) ~ (all_14_8 = e21)
% 83.56/12.58 (4) ~ (all_14_8 = e20)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (1) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (5) all_18_2 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (2), (5) imply:
% 83.56/12.58 | | (6) all_14_8 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (3), (6) imply:
% 83.56/12.58 | | (7) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (7) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (8) all_18_2 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (2), (8) imply:
% 83.56/12.58 | | (9) all_14_8 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (4), (9) imply:
% 83.56/12.58 | | (10) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (10) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | End of split
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #69 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_20_14 = all_14_11
% 83.56/12.58 (2) all_20_14 = e23
% 83.56/12.58 (3) ~ (all_14_11 = e23)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.58 | (4) all_14_11 = e23
% 83.56/12.58 |
% 83.56/12.58 | SIMP: (4) implies:
% 83.56/12.58 | (5) all_14_11 = e23
% 83.56/12.58 |
% 83.56/12.58 | REDUCE: (3), (5) imply:
% 83.56/12.58 | (6) $false
% 83.56/12.58 |
% 83.56/12.58 | CLOSE: (6) is inconsistent.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #70 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 83.56/12.58 (2) all_18_12 = all_14_3
% 83.56/12.58 (3) ~ (all_14_3 = e22)
% 83.56/12.58 (4) ~ (all_14_3 = e20)
% 83.56/12.58 (5) ~ (all_14_3 = e21)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (1) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (6) all_18_12 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (2), (6) imply:
% 83.56/12.58 | | (7) all_14_3 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | SIMP: (7) implies:
% 83.56/12.58 | | (8) all_14_3 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (3), (8) imply:
% 83.56/12.58 | | (9) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (9) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (10) all_18_12 = e21 | all_18_12 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #71.
% 83.56/12.58 | |
% 83.56/12.58 | End of split
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #71 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_18_12 = e21 | all_18_12 = e20
% 83.56/12.58 (2) all_18_12 = all_14_3
% 83.56/12.58 (3) ~ (all_14_3 = e21)
% 83.56/12.58 (4) ~ (all_14_3 = e20)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (1) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (5) all_18_12 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (2), (5) imply:
% 83.56/12.58 | | (6) all_14_3 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (3), (6) imply:
% 83.56/12.58 | | (7) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (7) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (8) all_18_12 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (2), (8) imply:
% 83.56/12.58 | | (9) all_14_3 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (4), (9) imply:
% 83.56/12.58 | | (10) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (10) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | End of split
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #72 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_18_11 = all_14_14
% 83.56/12.58 (2) all_18_11 = e20
% 83.56/12.58 (3) ~ (all_14_14 = e20)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.58 | (4) all_14_14 = e20
% 83.56/12.58 |
% 83.56/12.58 | SIMP: (4) implies:
% 83.56/12.58 | (5) all_14_14 = e20
% 83.56/12.58 |
% 83.56/12.58 | REDUCE: (3), (5) imply:
% 83.56/12.58 | (6) $false
% 83.56/12.58 |
% 83.56/12.58 | CLOSE: (6) is inconsistent.
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #73 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_18_7 = e21 | all_18_7 = e20
% 83.56/12.58 (2) all_18_7 = all_14_13
% 83.56/12.58 (3) ~ (all_14_13 = e21)
% 83.56/12.58 (4) ~ (all_14_13 = e20)
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (1) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (5) all_18_7 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (2), (5) imply:
% 83.56/12.58 | | (6) all_14_13 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | SIMP: (6) implies:
% 83.56/12.58 | | (7) all_14_13 = e21
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (3), (7) imply:
% 83.56/12.58 | | (8) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (8) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (9) all_18_7 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (2), (9) imply:
% 83.56/12.58 | | (10) all_14_13 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | SIMP: (10) implies:
% 83.56/12.58 | | (11) all_14_13 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (4), (11) imply:
% 83.56/12.58 | | (12) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (12) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | End of split
% 83.56/12.58 |
% 83.56/12.58 End of proof
% 83.56/12.58
% 83.56/12.58 Sub-proof #74 shows that the following formulas are inconsistent:
% 83.56/12.58 ----------------------------------------------------------------
% 83.56/12.58 (1) all_18_14 = all_14_11
% 83.56/12.58 (2) ~ (all_14_7 = e20)
% 83.56/12.58 (3) all_18_13 = all_14_7
% 83.56/12.58 (4) ~ (all_14_7 = e22)
% 83.56/12.58 (5) all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 83.56/12.58 (6) ~ (all_14_11 = e20)
% 83.56/12.58 (7) ~ (all_14_7 = all_14_11)
% 83.56/12.58 (8) ~ (all_14_11 = e22)
% 83.56/12.58 (9) all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 83.56/12.58
% 83.56/12.58 Begin of proof
% 83.56/12.58 |
% 83.56/12.58 | BETA: splitting (9) gives:
% 83.56/12.58 |
% 83.56/12.58 | Case 1:
% 83.56/12.58 | |
% 83.56/12.58 | | (10) all_18_14 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | COMBINE_EQS: (1), (10) imply:
% 83.56/12.58 | | (11) all_14_11 = e22
% 83.56/12.58 | |
% 83.56/12.58 | | REDUCE: (8), (11) imply:
% 83.56/12.58 | | (12) $false
% 83.56/12.58 | |
% 83.56/12.58 | | CLOSE: (12) is inconsistent.
% 83.56/12.58 | |
% 83.56/12.58 | Case 2:
% 83.56/12.58 | |
% 83.56/12.58 | | (13) all_18_14 = e21 | all_18_14 = e20
% 83.56/12.58 | |
% 83.56/12.58 | | BETA: splitting (13) gives:
% 83.56/12.58 | |
% 83.56/12.58 | | Case 1:
% 83.56/12.58 | | |
% 83.56/12.58 | | | (14) all_18_14 = e21
% 83.56/12.58 | | |
% 83.56/12.58 | | | COMBINE_EQS: (1), (14) imply:
% 83.56/12.58 | | | (15) all_14_11 = e21
% 83.56/12.58 | | |
% 83.56/12.58 | | | REDUCE: (7), (15) imply:
% 83.56/12.58 | | | (16) ~ (all_14_7 = e21)
% 83.56/12.59 | | |
% 83.56/12.59 | | | REF_CLOSE: (2), (3), (4), (5), (16) are inconsistent by sub-proof #75.
% 83.56/12.59 | | |
% 83.56/12.59 | | Case 2:
% 83.56/12.59 | | |
% 83.56/12.59 | | | (17) all_18_14 = e20
% 83.56/12.59 | | |
% 83.56/12.59 | | | COMBINE_EQS: (1), (17) imply:
% 83.56/12.59 | | | (18) all_14_11 = e20
% 83.56/12.59 | | |
% 83.56/12.59 | | | REDUCE: (6), (18) imply:
% 83.56/12.59 | | | (19) $false
% 83.56/12.59 | | |
% 83.56/12.59 | | | CLOSE: (19) is inconsistent.
% 83.56/12.59 | | |
% 83.56/12.59 | | End of split
% 83.56/12.59 | |
% 83.56/12.59 | End of split
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #75 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) ~ (all_14_7 = e20)
% 83.56/12.59 (2) all_18_13 = all_14_7
% 83.56/12.59 (3) ~ (all_14_7 = e22)
% 83.56/12.59 (4) all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 83.56/12.59 (5) ~ (all_14_7 = e21)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | BETA: splitting (4) gives:
% 83.56/12.59 |
% 83.56/12.59 | Case 1:
% 83.56/12.59 | |
% 83.56/12.59 | | (6) all_18_13 = e22
% 83.56/12.59 | |
% 83.56/12.59 | | COMBINE_EQS: (2), (6) imply:
% 83.56/12.59 | | (7) all_14_7 = e22
% 83.56/12.59 | |
% 83.56/12.59 | | REDUCE: (3), (7) imply:
% 83.56/12.59 | | (8) $false
% 83.56/12.59 | |
% 83.56/12.59 | | CLOSE: (8) is inconsistent.
% 83.56/12.59 | |
% 83.56/12.59 | Case 2:
% 83.56/12.59 | |
% 83.56/12.59 | | (9) all_18_13 = e21 | all_18_13 = e20
% 83.56/12.59 | |
% 83.56/12.59 | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #76.
% 83.56/12.59 | |
% 83.56/12.59 | End of split
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #76 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_18_13 = e21 | all_18_13 = e20
% 83.56/12.59 (2) all_18_13 = all_14_7
% 83.56/12.59 (3) ~ (all_14_7 = e21)
% 83.56/12.59 (4) ~ (all_14_7 = e20)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | BETA: splitting (1) gives:
% 83.56/12.59 |
% 83.56/12.59 | Case 1:
% 83.56/12.59 | |
% 83.56/12.59 | | (5) all_18_13 = e21
% 83.56/12.59 | |
% 83.56/12.59 | | COMBINE_EQS: (2), (5) imply:
% 83.56/12.59 | | (6) all_14_7 = e21
% 83.56/12.59 | |
% 83.56/12.59 | | REDUCE: (3), (6) imply:
% 83.56/12.59 | | (7) $false
% 83.56/12.59 | |
% 83.56/12.59 | | CLOSE: (7) is inconsistent.
% 83.56/12.59 | |
% 83.56/12.59 | Case 2:
% 83.56/12.59 | |
% 83.56/12.59 | | (8) all_18_13 = e20
% 83.56/12.59 | |
% 83.56/12.59 | | COMBINE_EQS: (2), (8) imply:
% 83.56/12.59 | | (9) all_14_7 = e20
% 83.56/12.59 | |
% 83.56/12.59 | | REDUCE: (4), (9) imply:
% 83.56/12.59 | | (10) $false
% 83.56/12.59 | |
% 83.56/12.59 | | CLOSE: (10) is inconsistent.
% 83.56/12.59 | |
% 83.56/12.59 | End of split
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #77 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_20_10 = e22
% 83.56/12.59 (2) all_20_10 = e21
% 83.56/12.59 (3) ~ (e22 = e21)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.59 | (4) e22 = e21
% 83.56/12.59 |
% 83.56/12.59 | SIMP: (4) implies:
% 83.56/12.59 | (5) e22 = e21
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #78 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_18_4 = all_14_1
% 83.56/12.59 (2) ~ (all_14_1 = e22)
% 83.56/12.59 (3) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 83.56/12.59 (4) ~ (all_14_1 = e20)
% 83.56/12.59 (5) ~ (all_14_1 = e21)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | BETA: splitting (3) gives:
% 83.56/12.59 |
% 83.56/12.59 | Case 1:
% 83.56/12.59 | |
% 83.56/12.59 | | (6) all_18_4 = e22
% 83.56/12.59 | |
% 83.56/12.59 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #81.
% 83.56/12.59 | |
% 83.56/12.59 | Case 2:
% 83.56/12.59 | |
% 83.56/12.59 | | (7) all_18_4 = e21 | all_18_4 = e20
% 83.56/12.59 | |
% 83.56/12.59 | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #79.
% 83.56/12.59 | |
% 83.56/12.59 | End of split
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #79 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_18_4 = e21 | all_18_4 = e20
% 83.56/12.59 (2) all_18_4 = all_14_1
% 83.56/12.59 (3) ~ (all_14_1 = e21)
% 83.56/12.59 (4) ~ (all_14_1 = e20)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | BETA: splitting (1) gives:
% 83.56/12.59 |
% 83.56/12.59 | Case 1:
% 83.56/12.59 | |
% 83.56/12.59 | | (5) all_18_4 = e21
% 83.56/12.59 | |
% 83.56/12.59 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #80.
% 83.56/12.59 | |
% 83.56/12.59 | Case 2:
% 83.56/12.59 | |
% 83.56/12.59 | | (6) all_18_4 = e20
% 83.56/12.59 | |
% 83.56/12.59 | | COMBINE_EQS: (2), (6) imply:
% 83.56/12.59 | | (7) all_14_1 = e20
% 83.56/12.59 | |
% 83.56/12.59 | | SIMP: (7) implies:
% 83.56/12.59 | | (8) all_14_1 = e20
% 83.56/12.59 | |
% 83.56/12.59 | | REDUCE: (4), (8) imply:
% 83.56/12.59 | | (9) $false
% 83.56/12.59 | |
% 83.56/12.59 | | CLOSE: (9) is inconsistent.
% 83.56/12.59 | |
% 83.56/12.59 | End of split
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #80 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_18_4 = all_14_1
% 83.56/12.59 (2) all_18_4 = e21
% 83.56/12.59 (3) ~ (all_14_1 = e21)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.59 | (4) all_14_1 = e21
% 83.56/12.59 |
% 83.56/12.59 | SIMP: (4) implies:
% 83.56/12.59 | (5) all_14_1 = e21
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #81 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_18_4 = all_14_1
% 83.56/12.59 (2) all_18_4 = e22
% 83.56/12.59 (3) ~ (all_14_1 = e22)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.59 | (4) all_14_1 = e22
% 83.56/12.59 |
% 83.56/12.59 | SIMP: (4) implies:
% 83.56/12.59 | (5) all_14_1 = e22
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #82 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) (all_24_30 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 83.56/12.59 (all_24_10 = e21) & ~ (all_24_11 = e20)) | ( ~ (all_24_12 = e23) & ~
% 83.56/12.59 (all_24_13 = e22) & ~ (all_24_14 = e21) & ~ (all_24_15 = e20) &
% 83.56/12.59 (all_24_31 = e20 | (all_24_18 = e20 & all_24_25 = e20) | (all_24_21 =
% 83.56/12.59 e20 & all_24_26 = e20) | (all_24_24 = e20 & all_24_27 = e20)))
% 83.56/12.59 (2) all_24_30 = e20
% 83.56/12.59 (3) ~ (e21 = e20)
% 83.56/12.59 (4) all_24_15 = e20
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | BETA: splitting (1) gives:
% 83.56/12.59 |
% 83.56/12.59 | Case 1:
% 83.56/12.59 | |
% 83.56/12.59 | | (5) all_24_30 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 83.56/12.59 | | (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.59 | |
% 83.56/12.59 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #83.
% 83.56/12.59 | |
% 83.56/12.59 | Case 2:
% 83.56/12.59 | |
% 83.56/12.59 | | (6) ~ (all_24_12 = e23) & ~ (all_24_13 = e22) & ~ (all_24_14 = e21) &
% 83.56/12.59 | | ~ (all_24_15 = e20) & (all_24_31 = e20 | (all_24_18 = e20 & all_24_25
% 83.56/12.59 | | = e20) | (all_24_21 = e20 & all_24_26 = e20) | (all_24_24 = e20 &
% 83.56/12.59 | | all_24_27 = e20))
% 83.56/12.59 | |
% 83.56/12.59 | | ALPHA: (6) implies:
% 83.56/12.59 | | (7) ~ (all_24_15 = e20)
% 83.56/12.59 | |
% 83.56/12.59 | | REDUCE: (4), (7) imply:
% 83.56/12.59 | | (8) $false
% 83.56/12.59 | |
% 83.56/12.59 | | CLOSE: (8) is inconsistent.
% 83.56/12.59 | |
% 83.56/12.59 | End of split
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #83 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_24_30 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 = e22) & ~
% 83.56/12.59 (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.59 (2) all_24_30 = e20
% 83.56/12.59 (3) ~ (e21 = e20)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | ALPHA: (1) implies:
% 83.56/12.59 | (4) all_24_30 = e21
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.59 | (5) e21 = e20
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #84 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_24_28 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 = e22) & ~
% 83.56/12.59 (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.59 (2) all_24_28 = e21
% 83.56/12.59 (3) ~ (e23 = e21)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | ALPHA: (1) implies:
% 83.56/12.59 | (4) all_24_28 = e23
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.59 | (5) e23 = e21
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #85 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_24_24 = e21 & all_24_27 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.59 e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.59 (2) all_24_27 = e23
% 83.56/12.59 (3) ~ (e23 = e21)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | ALPHA: (1) implies:
% 83.56/12.59 | (4) all_24_27 = e21
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.59 | (5) e23 = e21
% 83.56/12.59 |
% 83.56/12.59 | SIMP: (5) implies:
% 83.56/12.59 | (6) e23 = e21
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (6) imply:
% 83.56/12.59 | (7) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (7) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #86 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_24_17 = e21 & all_24_22 = e21 & ~ (all_24_8 = e23) & ~ (all_24_9 =
% 83.56/12.59 e22) & ~ (all_24_10 = e21) & ~ (all_24_11 = e20)
% 83.56/12.59 (2) all_24_17 = e22
% 83.56/12.59 (3) ~ (e22 = e21)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | ALPHA: (1) implies:
% 83.56/12.59 | (4) all_24_17 = e21
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.59 | (5) e22 = e21
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #87 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) ~ (e23 = e21)
% 83.56/12.59 (2) ~ (e23 = e22)
% 83.56/12.59 (3) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.59 (4) ~ (all_14_8 = e23)
% 83.56/12.59 (5) all_20_4 = all_14_8
% 83.56/12.59 (6) all_20_1 = e20
% 83.56/12.59 (7) e23 = e22
% 83.56/12.59 (8) all_20_0 = e21
% 83.56/12.59 (9) ~ (e23 = e20)
% 83.56/12.59 (10) all_20_9 = e23
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | SIMP: (7) implies:
% 83.56/12.59 | (11) e23 = e22
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (10), (11) imply:
% 83.56/12.59 | (12) all_20_9 = e22
% 83.56/12.59 |
% 83.56/12.59 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (12) are inconsistent by
% 83.56/12.59 | sub-proof #88.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #88 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) ~ (e23 = e21)
% 83.56/12.59 (2) ~ (e23 = e22)
% 83.56/12.59 (3) all_20_9 = e22
% 83.56/12.59 (4) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.59 (5) ~ (all_14_8 = e23)
% 83.56/12.59 (6) all_20_4 = all_14_8
% 83.56/12.59 (7) all_20_1 = e20
% 83.56/12.59 (8) all_20_0 = e21
% 83.56/12.59 (9) ~ (e23 = e20)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | BETA: splitting (4) gives:
% 83.56/12.59 |
% 83.56/12.59 | Case 1:
% 83.56/12.59 | |
% 83.56/12.59 | | (10) all_20_0 = e23
% 83.56/12.59 | |
% 83.56/12.59 | | COMBINE_EQS: (8), (10) imply:
% 83.56/12.59 | | (11) e23 = e21
% 83.56/12.59 | |
% 83.56/12.59 | | REDUCE: (1), (11) imply:
% 83.56/12.59 | | (12) $false
% 83.56/12.59 | |
% 83.56/12.59 | | CLOSE: (12) is inconsistent.
% 83.56/12.59 | |
% 83.56/12.59 | Case 2:
% 83.56/12.59 | |
% 83.56/12.59 | | (13) all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 83.56/12.59 | |
% 83.56/12.59 | | BETA: splitting (13) gives:
% 83.56/12.59 | |
% 83.56/12.59 | | Case 1:
% 83.56/12.59 | | |
% 83.56/12.59 | | | (14) all_20_1 = e23
% 83.56/12.59 | | |
% 83.56/12.59 | | | COMBINE_EQS: (7), (14) imply:
% 83.56/12.59 | | | (15) e23 = e20
% 83.56/12.59 | | |
% 83.56/12.59 | | | REDUCE: (9), (15) imply:
% 83.56/12.59 | | | (16) $false
% 83.56/12.59 | | |
% 83.56/12.59 | | | CLOSE: (16) is inconsistent.
% 83.56/12.59 | | |
% 83.56/12.59 | | Case 2:
% 83.56/12.59 | | |
% 83.56/12.59 | | | (17) all_20_4 = e23 | all_20_9 = e23
% 83.56/12.59 | | |
% 83.56/12.59 | | | BETA: splitting (17) gives:
% 83.56/12.59 | | |
% 83.56/12.59 | | | Case 1:
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | (18) all_20_4 = e23
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | COMBINE_EQS: (6), (18) imply:
% 83.56/12.59 | | | | (19) all_14_8 = e23
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | SIMP: (19) implies:
% 83.56/12.59 | | | | (20) all_14_8 = e23
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | REDUCE: (5), (20) imply:
% 83.56/12.59 | | | | (21) $false
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | CLOSE: (21) is inconsistent.
% 83.56/12.59 | | | |
% 83.56/12.59 | | | Case 2:
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | (22) all_20_9 = e23
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | COMBINE_EQS: (3), (22) imply:
% 83.56/12.59 | | | | (23) e23 = e22
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | REDUCE: (2), (23) imply:
% 83.56/12.59 | | | | (24) $false
% 83.56/12.59 | | | |
% 83.56/12.59 | | | | CLOSE: (24) is inconsistent.
% 83.56/12.59 | | | |
% 83.56/12.59 | | | End of split
% 83.56/12.59 | | |
% 83.56/12.59 | | End of split
% 83.56/12.59 | |
% 83.56/12.59 | End of split
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #89 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_24_16 = e22 & all_24_19 = e22 & ~ (all_24_4 = e23) & ~ (all_24_5 =
% 83.56/12.59 e22) & ~ (all_24_6 = e21) & ~ (all_24_7 = e20)
% 83.56/12.59 (2) all_24_19 = e20
% 83.56/12.59 (3) ~ (e22 = e20)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | ALPHA: (1) implies:
% 83.56/12.59 | (4) all_24_19 = e22
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.59 | (5) e22 = e20
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #90 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_24_16 = e23 & all_24_19 = e23 & ~ (all_24_0 = e23) & ~ (all_24_1 =
% 83.56/12.59 e22) & ~ (all_24_2 = e21) & ~ (all_24_3 = e20)
% 83.56/12.59 (2) all_24_19 = e20
% 83.56/12.59 (3) ~ (e23 = e20)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | ALPHA: (1) implies:
% 83.56/12.59 | (4) all_24_19 = e23
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (2), (4) imply:
% 83.56/12.59 | (5) e23 = e20
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #91 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_18_7 = all_14_13
% 83.56/12.59 (2) all_18_7 = e23
% 83.56/12.59 (3) ~ (all_14_13 = e23)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.59 | (4) all_14_13 = e23
% 83.56/12.59 |
% 83.56/12.59 | SIMP: (4) implies:
% 83.56/12.59 | (5) all_14_13 = e23
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59
% 83.56/12.59 Sub-proof #92 shows that the following formulas are inconsistent:
% 83.56/12.59 ----------------------------------------------------------------
% 83.56/12.59 (1) all_18_11 = all_14_14
% 83.56/12.59 (2) all_18_11 = e23
% 83.56/12.59 (3) ~ (all_14_14 = e23)
% 83.56/12.59
% 83.56/12.59 Begin of proof
% 83.56/12.59 |
% 83.56/12.59 | COMBINE_EQS: (1), (2) imply:
% 83.56/12.59 | (4) all_14_14 = e23
% 83.56/12.59 |
% 83.56/12.59 | SIMP: (4) implies:
% 83.56/12.59 | (5) all_14_14 = e23
% 83.56/12.59 |
% 83.56/12.59 | REDUCE: (3), (5) imply:
% 83.56/12.59 | (6) $false
% 83.56/12.59 |
% 83.56/12.59 | CLOSE: (6) is inconsistent.
% 83.56/12.59 |
% 83.56/12.59 End of proof
% 83.56/12.59 % SZS output end Proof for theBenchmark
% 83.56/12.59
% 83.56/12.59 11978ms
%------------------------------------------------------------------------------