TSTP Solution File: ALG109+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG109+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 : n032.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 16:36:23 EDT 2023
% Result : Theorem 39.82s 6.09s
% Output : Proof 94.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : ALG109+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.08 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Aug 28 03:22:00 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.11/0.51 ________ _____
% 0.11/0.51 ___ __ \_________(_)________________________________
% 0.11/0.51 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.11/0.51 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.11/0.51 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.11/0.51
% 0.11/0.51 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.11/0.51 (2023-06-19)
% 0.11/0.51
% 0.11/0.51 (c) Philipp Rümmer, 2009-2023
% 0.11/0.51 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.11/0.51 Amanda Stjerna.
% 0.11/0.51 Free software under BSD-3-Clause.
% 0.11/0.51
% 0.11/0.51 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.11/0.51
% 0.11/0.51 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.11/0.53 Running up to 7 provers in parallel.
% 0.11/0.54 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.11/0.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.11/0.54 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.11/0.54 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.11/0.54 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.11/0.54 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.11/0.54 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 11.77/2.31 Prover 4: Preprocessing ...
% 11.77/2.31 Prover 1: Preprocessing ...
% 11.77/2.38 Prover 5: Preprocessing ...
% 11.77/2.38 Prover 0: Preprocessing ...
% 11.77/2.38 Prover 6: Preprocessing ...
% 11.77/2.38 Prover 2: Preprocessing ...
% 11.77/2.38 Prover 3: Preprocessing ...
% 21.32/3.61 Prover 2: Constructing countermodel ...
% 21.32/3.64 Prover 1: Constructing countermodel ...
% 21.91/3.64 Prover 4: Constructing countermodel ...
% 21.91/3.65 Prover 6: Constructing countermodel ...
% 21.91/3.65 Prover 3: Constructing countermodel ...
% 22.12/3.67 Prover 0: Constructing countermodel ...
% 28.25/4.57 Prover 5: Constructing countermodel ...
% 39.15/6.09 Prover 3: proved (5546ms)
% 39.15/6.09
% 39.82/6.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.82/6.09
% 39.82/6.09 Prover 0: stopped
% 39.82/6.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 39.82/6.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 39.93/6.10 Prover 2: stopped
% 39.94/6.12 Prover 6: stopped
% 39.94/6.13 Prover 5: stopped
% 39.94/6.15 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 39.94/6.15 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 39.94/6.15 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 46.18/6.96 Prover 8: Preprocessing ...
% 46.18/6.96 Prover 7: Preprocessing ...
% 46.50/6.98 Prover 10: Preprocessing ...
% 46.50/7.00 Prover 11: Preprocessing ...
% 47.79/7.21 Prover 13: Preprocessing ...
% 49.23/7.43 Prover 8: Constructing countermodel ...
% 49.95/7.67 Prover 7: Constructing countermodel ...
% 51.51/7.71 Prover 11: Constructing countermodel ...
% 52.00/7.76 Prover 13: Constructing countermodel ...
% 52.00/7.80 Prover 10: Constructing countermodel ...
% 75.92/10.92 Prover 13: stopped
% 75.92/10.92 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 78.73/11.26 Prover 16: Preprocessing ...
% 81.68/11.72 Prover 16: Constructing countermodel ...
% 82.35/11.88 Prover 1: Found proof (size 7228)
% 82.35/11.88 Prover 1: proved (11335ms)
% 82.35/11.88 Prover 10: stopped
% 82.35/11.88 Prover 8: stopped
% 82.35/11.88 Prover 7: stopped
% 82.35/11.88 Prover 11: stopped
% 82.35/11.88 Prover 4: stopped
% 82.35/11.88 Prover 16: stopped
% 82.35/11.90
% 82.35/11.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 82.35/11.90
% 89.00/13.38 % SZS output start Proof for theBenchmark
% 89.56/13.43 Assumptions after simplification:
% 89.56/13.43 ---------------------------------
% 89.56/13.43
% 89.56/13.43 (ax1)
% 89.94/13.48 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 89.94/13.48 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 89.94/13.48 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 89.94/13.48 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 89.94/13.48 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 &
% 89.94/13.48 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 89.94/13.48 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 &
% 89.94/13.48 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 89.94/13.48 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 89.94/13.48 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 89.94/13.48 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14
% 89.94/13.48 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13
% 89.94/13.48 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 |
% 89.98/13.48 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 |
% 89.98/13.48 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8
% 89.98/13.48 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 89.98/13.48 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 =
% 89.98/13.48 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13
% 89.98/13.48 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 =
% 89.98/13.48 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12
% 89.98/13.48 | v0 = e11 | v0 = e10))
% 89.98/13.48
% 89.98/13.48 (ax10)
% 90.08/13.52 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 90.08/13.52 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 90.08/13.52 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 90.08/13.52 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 90.08/13.52 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 90.08/13.52 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 90.08/13.52 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v15) = v31
% 90.08/13.52 & op1(e13, v14) = v27 & op1(e13, v11) = v23 & op1(e13, v6) = v19 & op1(e13,
% 90.14/13.52 e13) = v15 & op1(e13, e12) = v13 & op1(e13, e11) = v9 & op1(e13, e10) = v3
% 90.14/13.52 & op1(e12, v13) = v30 & op1(e12, v12) = v26 & op1(e12, v10) = v22 & op1(e12,
% 90.14/13.52 v5) = v18 & op1(e12, e13) = v14 & op1(e12, e12) = v12 & op1(e12, e11) = v8
% 90.14/13.52 & op1(e12, e10) = v2 & op1(e11, v9) = v29 & op1(e11, v8) = v25 & op1(e11,
% 90.14/13.52 v7) = v21 & op1(e11, v4) = v17 & op1(e11, e13) = v11 & op1(e11, e12) = v10
% 90.14/13.52 & op1(e11, e11) = v7 & op1(e11, e10) = v1 & op1(e10, v3) = v28 & op1(e10,
% 90.14/13.52 v2) = v24 & op1(e10, v1) = v20 & op1(e10, v0) = v16 & op1(e10, e13) = v6 &
% 90.14/13.52 op1(e10, e12) = v5 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v31) &
% 90.14/13.52 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 90.14/13.52 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 90.14/13.52 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 90.14/13.52 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 90.14/13.52 $i(v0) & ((v30 = e12 & v14 = v13 & ~ (v13 = v12)) | (v29 = e11 & v11 = v9 &
% 90.14/13.52 ~ (v9 = v7)) | (v28 = e10 & v6 = v3 & ~ (v3 = v0)) | (v27 = e13 & v14
% 90.14/13.52 = v13 & ~ (v15 = v13)) | (v25 = e11 & v10 = v8 & ~ (v8 = v7)) | (v24 =
% 90.14/13.52 e10 & v5 = v2 & ~ (v2 = v0)) | (v23 = e13 & v11 = v9 & ~ (v15 = v9)) |
% 90.14/13.52 (v22 = e12 & v10 = v8 & ~ (v12 = v8)) | (v20 = e10 & v4 = v1 & ~ (v1 =
% 90.14/13.52 v0)) | (v19 = e13 & v6 = v3 & ~ (v15 = v3)) | (v18 = e12 & v5 = v2 &
% 90.14/13.52 ~ (v12 = v2)) | (v17 = e11 & v4 = v1 & ~ (v7 = v1))) & ((v15 = e12 & (
% 90.14/13.52 ~ (v14 = e13) | ~ (v13 = e13)) & ( ~ (v14 = e12) | ~ (v13 = e12)) &
% 90.14/13.52 ( ~ (v14 = e11) | ~ (v13 = e11)) & ( ~ (v14 = e10) | ~ (v13 = e10))) |
% 90.14/13.52 (v15 = e11 & ( ~ (v11 = e13) | ~ (v9 = e13)) & ( ~ (v11 = e12) | ~ (v9 =
% 90.14/13.52 e12)) & ( ~ (v11 = e11) | ~ (v9 = e11)) & ( ~ (v11 = e10) | ~ (v9
% 90.14/13.52 = e10))) | (v15 = e10 & ( ~ (v6 = e13) | ~ (v3 = e13)) & ( ~ (v6 =
% 90.14/13.52 e12) | ~ (v3 = e12)) & ( ~ (v6 = e11) | ~ (v3 = e11)) & ( ~ (v6 =
% 90.14/13.52 e10) | ~ (v3 = e10))) | (v12 = e13 & ( ~ (v14 = e13) | ~ (v13 =
% 90.14/13.52 e13)) & ( ~ (v14 = e12) | ~ (v13 = e12)) & ( ~ (v14 = e11) | ~
% 90.14/13.52 (v13 = e11)) & ( ~ (v14 = e10) | ~ (v13 = e10))) | (v12 = e11 & ( ~
% 90.14/13.52 (v10 = e13) | ~ (v8 = e13)) & ( ~ (v10 = e12) | ~ (v8 = e12)) & ( ~
% 90.14/13.52 (v10 = e11) | ~ (v8 = e11)) & ( ~ (v10 = e10) | ~ (v8 = e10))) |
% 90.14/13.52 (v12 = e10 & ( ~ (v5 = e13) | ~ (v2 = e13)) & ( ~ (v5 = e12) | ~ (v2 =
% 90.14/13.52 e12)) & ( ~ (v5 = e11) | ~ (v2 = e11)) & ( ~ (v5 = e10) | ~ (v2 =
% 90.14/13.52 e10))) | (v7 = e13 & ( ~ (v11 = e13) | ~ (v9 = e13)) & ( ~ (v11 =
% 90.14/13.52 e12) | ~ (v9 = e12)) & ( ~ (v11 = e11) | ~ (v9 = e11)) & ( ~ (v11
% 90.14/13.52 = e10) | ~ (v9 = e10))) | (v7 = e12 & ( ~ (v10 = e13) | ~ (v8 =
% 90.14/13.52 e13)) & ( ~ (v10 = e12) | ~ (v8 = e12)) & ( ~ (v10 = e11) | ~ (v8
% 90.14/13.52 = e11)) & ( ~ (v10 = e10) | ~ (v8 = e10))) | (v7 = e10 & ( ~ (v4 =
% 90.14/13.52 e13) | ~ (v1 = e13)) & ( ~ (v4 = e12) | ~ (v1 = e12)) & ( ~ (v4 =
% 90.14/13.52 e11) | ~ (v1 = e11)) & ( ~ (v4 = e10) | ~ (v1 = e10))) | (v0 = e13
% 90.14/13.52 & ( ~ (v6 = e13) | ~ (v3 = e13)) & ( ~ (v6 = e12) | ~ (v3 = e12)) & (
% 90.14/13.52 ~ (v6 = e11) | ~ (v3 = e11)) & ( ~ (v6 = e10) | ~ (v3 = e10))) | (v0
% 90.14/13.52 = e12 & ( ~ (v5 = e13) | ~ (v2 = e13)) & ( ~ (v5 = e12) | ~ (v2 =
% 90.14/13.52 e12)) & ( ~ (v5 = e11) | ~ (v2 = e11)) & ( ~ (v5 = e10) | ~ (v2 =
% 90.14/13.52 e10))) | (v0 = e11 & ( ~ (v4 = e13) | ~ (v1 = e13)) & ( ~ (v4 =
% 90.14/13.52 e12) | ~ (v1 = e12)) & ( ~ (v4 = e11) | ~ (v1 = e11)) & ( ~ (v4 =
% 90.14/13.52 e10) | ~ (v1 = e10)))) & ((v14 = e13 & v13 = e13 & ~ (v15 = e13) &
% 90.14/13.52 ~ (v11 = e11) & ~ (v6 = e10) & ~ (e13 = e12)) | (v14 = e12 & v13 =
% 90.14/13.52 e12 & ~ (v12 = e12) & ~ (v10 = e11) & ~ (v5 = e10) & ~ (e13 = e12))
% 90.14/13.52 | (v11 = e13 & v9 = e13 & ~ (v15 = e13) & ~ (v14 = e12) & ~ (v6 = e10)
% 90.14/13.52 & ~ (e13 = e11)) | (v11 = e11 & v9 = e11 & ~ (v8 = e12) & ~ (v7 =
% 90.14/13.52 e11) & ~ (v4 = e10) & ~ (e13 = e11)) | (v10 = e12 & v8 = e12 & ~
% 90.14/13.52 (v13 = e13) & ~ (v12 = e12) & ~ (v5 = e10) & ~ (e12 = e11)) | (v10 =
% 90.14/13.52 e11 & v8 = e11 & ~ (v9 = e13) & ~ (v7 = e11) & ~ (v4 = e10) & ~ (e12
% 90.14/13.52 = e11)) | (v6 = e13 & v3 = e13 & ~ (v15 = e13) & ~ (v14 = e12) & ~
% 90.14/13.52 (v11 = e11) & ~ (e13 = e10)) | (v5 = e12 & v2 = e12 & ~ (v13 = e13) &
% 90.14/13.52 ~ (v12 = e12) & ~ (v10 = e11) & ~ (e12 = e10)) | (v4 = e11 & v1 = e11
% 90.14/13.52 & ~ (v9 = e13) & ~ (v8 = e12) & ~ (v7 = e11) & ~ (e11 = e10)) | ( ~
% 90.14/13.52 (v3 = e13) & ~ (v2 = e12) & ~ (v1 = e11) & ~ (v0 = e10) & ((v6 = e10
% 90.14/13.52 & v3 = e10) | (v5 = e10 & v2 = e10) | (v4 = e10 & v1 = e10)))))
% 90.14/13.52
% 90.14/13.52 (ax11)
% 90.14/13.55 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 90.14/13.55 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 90.14/13.55 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 90.14/13.55 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 90.14/13.55 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 90.14/13.55 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 90.14/13.55 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v15) = v31
% 90.14/13.55 & op2(e23, v14) = v27 & op2(e23, v11) = v23 & op2(e23, v6) = v19 & op2(e23,
% 90.14/13.55 e23) = v15 & op2(e23, e22) = v13 & op2(e23, e21) = v9 & op2(e23, e20) = v3
% 90.14/13.55 & op2(e22, v13) = v30 & op2(e22, v12) = v26 & op2(e22, v10) = v22 & op2(e22,
% 90.14/13.55 v5) = v18 & op2(e22, e23) = v14 & op2(e22, e22) = v12 & op2(e22, e21) = v8
% 90.14/13.55 & op2(e22, e20) = v2 & op2(e21, v9) = v29 & op2(e21, v8) = v25 & op2(e21,
% 90.14/13.55 v7) = v21 & op2(e21, v4) = v17 & op2(e21, e23) = v11 & op2(e21, e22) = v10
% 90.14/13.55 & op2(e21, e21) = v7 & op2(e21, e20) = v1 & op2(e20, v3) = v28 & op2(e20,
% 90.14/13.55 v2) = v24 & op2(e20, v1) = v20 & op2(e20, v0) = v16 & op2(e20, e23) = v6 &
% 90.14/13.55 op2(e20, e22) = v5 & op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v31) &
% 90.14/13.55 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 90.14/13.55 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 90.14/13.55 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 90.14/13.55 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 90.14/13.55 $i(v0) & ((v30 = e22 & v14 = v13 & ~ (v13 = v12)) | (v29 = e21 & v11 = v9 &
% 90.14/13.55 ~ (v9 = v7)) | (v28 = e20 & v6 = v3 & ~ (v3 = v0)) | (v27 = e23 & v14
% 90.14/13.55 = v13 & ~ (v15 = v13)) | (v25 = e21 & v10 = v8 & ~ (v8 = v7)) | (v24 =
% 90.14/13.55 e20 & v5 = v2 & ~ (v2 = v0)) | (v23 = e23 & v11 = v9 & ~ (v15 = v9)) |
% 90.14/13.55 (v22 = e22 & v10 = v8 & ~ (v12 = v8)) | (v20 = e20 & v4 = v1 & ~ (v1 =
% 90.14/13.55 v0)) | (v19 = e23 & v6 = v3 & ~ (v15 = v3)) | (v18 = e22 & v5 = v2 &
% 90.14/13.55 ~ (v12 = v2)) | (v17 = e21 & v4 = v1 & ~ (v7 = v1))) & ((v15 = e22 & (
% 90.14/13.55 ~ (v14 = e23) | ~ (v13 = e23)) & ( ~ (v14 = e22) | ~ (v13 = e22)) &
% 90.14/13.55 ( ~ (v14 = e21) | ~ (v13 = e21)) & ( ~ (v14 = e20) | ~ (v13 = e20))) |
% 90.14/13.55 (v15 = e21 & ( ~ (v11 = e23) | ~ (v9 = e23)) & ( ~ (v11 = e22) | ~ (v9 =
% 90.14/13.55 e22)) & ( ~ (v11 = e21) | ~ (v9 = e21)) & ( ~ (v11 = e20) | ~ (v9
% 90.14/13.55 = e20))) | (v15 = e20 & ( ~ (v6 = e23) | ~ (v3 = e23)) & ( ~ (v6 =
% 90.14/13.55 e22) | ~ (v3 = e22)) & ( ~ (v6 = e21) | ~ (v3 = e21)) & ( ~ (v6 =
% 90.14/13.55 e20) | ~ (v3 = e20))) | (v12 = e23 & ( ~ (v14 = e23) | ~ (v13 =
% 90.14/13.55 e23)) & ( ~ (v14 = e22) | ~ (v13 = e22)) & ( ~ (v14 = e21) | ~
% 90.14/13.55 (v13 = e21)) & ( ~ (v14 = e20) | ~ (v13 = e20))) | (v12 = e21 & ( ~
% 90.14/13.55 (v10 = e23) | ~ (v8 = e23)) & ( ~ (v10 = e22) | ~ (v8 = e22)) & ( ~
% 90.14/13.55 (v10 = e21) | ~ (v8 = e21)) & ( ~ (v10 = e20) | ~ (v8 = e20))) |
% 90.14/13.55 (v12 = e20 & ( ~ (v5 = e23) | ~ (v2 = e23)) & ( ~ (v5 = e22) | ~ (v2 =
% 90.14/13.55 e22)) & ( ~ (v5 = e21) | ~ (v2 = e21)) & ( ~ (v5 = e20) | ~ (v2 =
% 90.14/13.55 e20))) | (v7 = e23 & ( ~ (v11 = e23) | ~ (v9 = e23)) & ( ~ (v11 =
% 90.14/13.55 e22) | ~ (v9 = e22)) & ( ~ (v11 = e21) | ~ (v9 = e21)) & ( ~ (v11
% 90.14/13.55 = e20) | ~ (v9 = e20))) | (v7 = e22 & ( ~ (v10 = e23) | ~ (v8 =
% 90.14/13.55 e23)) & ( ~ (v10 = e22) | ~ (v8 = e22)) & ( ~ (v10 = e21) | ~ (v8
% 90.14/13.55 = e21)) & ( ~ (v10 = e20) | ~ (v8 = e20))) | (v7 = e20 & ( ~ (v4 =
% 90.14/13.55 e23) | ~ (v1 = e23)) & ( ~ (v4 = e22) | ~ (v1 = e22)) & ( ~ (v4 =
% 90.14/13.55 e21) | ~ (v1 = e21)) & ( ~ (v4 = e20) | ~ (v1 = e20))) | (v0 = e23
% 90.14/13.55 & ( ~ (v6 = e23) | ~ (v3 = e23)) & ( ~ (v6 = e22) | ~ (v3 = e22)) & (
% 90.14/13.55 ~ (v6 = e21) | ~ (v3 = e21)) & ( ~ (v6 = e20) | ~ (v3 = e20))) | (v0
% 90.14/13.55 = e22 & ( ~ (v5 = e23) | ~ (v2 = e23)) & ( ~ (v5 = e22) | ~ (v2 =
% 90.14/13.55 e22)) & ( ~ (v5 = e21) | ~ (v2 = e21)) & ( ~ (v5 = e20) | ~ (v2 =
% 90.14/13.55 e20))) | (v0 = e21 & ( ~ (v4 = e23) | ~ (v1 = e23)) & ( ~ (v4 =
% 90.14/13.55 e22) | ~ (v1 = e22)) & ( ~ (v4 = e21) | ~ (v1 = e21)) & ( ~ (v4 =
% 90.14/13.55 e20) | ~ (v1 = e20)))) & ((v14 = e23 & v13 = e23 & ~ (v15 = e23) &
% 90.14/13.55 ~ (v11 = e21) & ~ (v6 = e20) & ~ (e23 = e22)) | (v14 = e22 & v13 =
% 90.14/13.55 e22 & ~ (v12 = e22) & ~ (v10 = e21) & ~ (v5 = e20) & ~ (e23 = e22))
% 90.14/13.55 | (v11 = e23 & v9 = e23 & ~ (v15 = e23) & ~ (v14 = e22) & ~ (v6 = e20)
% 90.14/13.55 & ~ (e23 = e21)) | (v11 = e21 & v9 = e21 & ~ (v8 = e22) & ~ (v7 =
% 90.14/13.55 e21) & ~ (v4 = e20) & ~ (e23 = e21)) | (v10 = e22 & v8 = e22 & ~
% 90.14/13.55 (v13 = e23) & ~ (v12 = e22) & ~ (v5 = e20) & ~ (e22 = e21)) | (v10 =
% 90.14/13.55 e21 & v8 = e21 & ~ (v9 = e23) & ~ (v7 = e21) & ~ (v4 = e20) & ~ (e22
% 90.14/13.55 = e21)) | (v6 = e23 & v3 = e23 & ~ (v15 = e23) & ~ (v14 = e22) & ~
% 90.14/13.55 (v11 = e21) & ~ (e23 = e20)) | (v5 = e22 & v2 = e22 & ~ (v13 = e23) &
% 90.14/13.55 ~ (v12 = e22) & ~ (v10 = e21) & ~ (e22 = e20)) | (v4 = e21 & v1 = e21
% 90.14/13.55 & ~ (v9 = e23) & ~ (v8 = e22) & ~ (v7 = e21) & ~ (e21 = e20)) | ( ~
% 90.14/13.55 (v3 = e23) & ~ (v2 = e22) & ~ (v1 = e21) & ~ (v0 = e20) & ((v6 = e20
% 90.14/13.55 & v3 = e20) | (v5 = e20 & v2 = e20) | (v4 = e20 & v1 = e20)))))
% 90.14/13.55
% 90.14/13.55 (ax12)
% 90.14/13.55 op1(e13, e10) = e12 & op1(e10, e11) = e13 & op1(e10, e10) = e11 & $i(e13) &
% 90.14/13.55 $i(e12) & $i(e11) & $i(e10)
% 90.14/13.55
% 90.14/13.55 (ax13)
% 90.14/13.56 op2(e23, e20) = e22 & op2(e20, e21) = e23 & op2(e20, e20) = e21 & $i(e23) &
% 90.14/13.56 $i(e22) & $i(e21) & $i(e20)
% 90.14/13.56
% 90.14/13.56 (ax14)
% 90.14/13.56 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 90.14/13.56 ? [v2: $i] : (h1(e13) = v2 & h1(e12) = v1 & h1(e11) = v0 & h1(e10) = e20 &
% 90.14/13.56 op2(v2, e20) = v1 & op2(e20, v0) = v2 & op2(e20, e20) = v0 & $i(v2) & $i(v1)
% 90.14/13.56 & $i(v0))
% 90.14/13.56
% 90.14/13.56 (ax15)
% 90.14/13.56 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 90.14/13.56 ? [v2: $i] : (h2(e13) = v2 & h2(e12) = v1 & h2(e11) = v0 & h2(e10) = e21 &
% 90.14/13.56 op2(v2, e21) = v1 & op2(e21, v0) = v2 & op2(e21, e21) = v0 & $i(v2) & $i(v1)
% 90.14/13.56 & $i(v0))
% 90.14/13.56
% 90.14/13.56 (ax16)
% 90.14/13.56 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 90.14/13.56 ? [v2: $i] : (h3(e13) = v2 & h3(e12) = v1 & h3(e11) = v0 & h3(e10) = e22 &
% 90.14/13.56 op2(v2, e22) = v1 & op2(e22, v0) = v2 & op2(e22, e22) = v0 & $i(v2) & $i(v1)
% 90.14/13.56 & $i(v0))
% 90.14/13.56
% 90.14/13.56 (ax17)
% 90.14/13.56 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 90.14/13.56 ? [v2: $i] : (h4(e13) = v2 & h4(e12) = v1 & h4(e11) = v0 & h4(e10) = e23 &
% 90.14/13.56 op2(v2, e23) = v1 & op2(e23, v0) = v2 & op2(e23, e23) = v0 & $i(v2) & $i(v1)
% 90.14/13.56 & $i(v0))
% 90.14/13.56
% 90.14/13.56 (ax2)
% 90.14/13.58 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 90.14/13.58 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 90.14/13.58 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 90.14/13.58 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 90.14/13.58 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 90.14/13.58 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 90.14/13.58 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 &
% 90.14/13.58 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 90.14/13.58 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 90.14/13.58 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 90.14/13.58 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 =
% 90.14/13.58 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 90.14/13.58 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 =
% 90.14/13.58 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 =
% 90.14/13.58 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 =
% 90.14/13.58 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13)
% 90.14/13.58 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 |
% 90.14/13.58 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) &
% 90.14/13.58 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 |
% 90.14/13.58 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) &
% 90.14/13.58 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 90.14/13.58 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 =
% 90.14/13.58 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10
% 90.14/13.58 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 90.14/13.58 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11)
% 90.14/13.58 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 =
% 90.14/13.58 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11
% 90.14/13.58 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 =
% 90.14/13.58 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11
% 90.14/13.58 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) &
% 90.14/13.58 (v3 = e10 | v2 = e10 | v1 = e10))))
% 90.14/13.58
% 90.14/13.58 (ax3)
% 90.14/13.59 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 90.14/13.59 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 90.14/13.59 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 90.14/13.59 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 90.14/13.59 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 90.14/13.59 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 90.14/13.59 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 &
% 90.14/13.59 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 90.14/13.59 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 90.14/13.59 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 90.14/13.59 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14
% 90.14/13.59 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13
% 90.14/13.59 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 |
% 90.14/13.59 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 |
% 90.14/13.59 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8
% 90.14/13.59 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 90.14/13.59 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 =
% 90.14/13.59 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23
% 90.14/13.59 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 =
% 90.14/13.59 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 90.14/13.59 | v0 = e21 | v0 = e20))
% 90.14/13.59
% 90.14/13.59 (ax4)
% 90.14/13.61 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 90.14/13.61 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 90.14/13.61 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 90.14/13.61 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 90.14/13.61 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 90.14/13.61 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 90.14/13.61 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 &
% 90.14/13.61 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 90.14/13.61 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 90.14/13.61 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 90.14/13.61 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 =
% 90.14/13.61 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 90.14/13.61 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 =
% 90.14/13.61 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 =
% 90.14/13.61 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 =
% 90.14/13.61 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23)
% 90.57/13.61 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 |
% 90.57/13.61 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) &
% 90.57/13.61 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 |
% 90.57/13.61 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) &
% 90.57/13.61 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 90.57/13.61 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 =
% 90.57/13.61 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20
% 90.57/13.61 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 90.57/13.61 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21)
% 90.57/13.61 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 =
% 90.57/13.61 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21
% 90.57/13.61 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 =
% 90.57/13.61 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21
% 90.57/13.61 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) &
% 90.57/13.61 (v3 = e20 | v2 = e20 | v1 = e20))))
% 90.57/13.61
% 90.57/13.61 (ax5)
% 90.57/13.62 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 90.57/13.62 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 90.57/13.62 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 90.57/13.62 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 90.57/13.62 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 90.57/13.62 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 90.57/13.62 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 90.57/13.62 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 90.57/13.62 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 90.57/13.62 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 90.57/13.62 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 90.57/13.62 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 90.57/13.62 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 90.57/13.62 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13,
% 90.57/13.62 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14
% 90.57/13.62 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11,
% 90.57/13.62 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1
% 90.57/13.62 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10,
% 90.57/13.62 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 90.57/13.62 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 90.57/13.62 $i(v1) & $i(v0))
% 90.57/13.62
% 90.57/13.62 (ax6)
% 90.57/13.62 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 90.57/13.62 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 90.57/13.62 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 90.57/13.62 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 90.57/13.62 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 90.57/13.62 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 90.57/13.62 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 90.57/13.62 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 90.57/13.62 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 90.57/13.62 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 90.57/13.62 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 90.57/13.62 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 90.57/13.62 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 90.57/13.62 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23,
% 90.57/13.62 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14
% 90.57/13.62 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21,
% 90.57/13.62 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1
% 90.57/13.62 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20,
% 90.57/13.62 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 90.57/13.62 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 90.57/13.62 $i(v1) & $i(v0))
% 90.57/13.62
% 90.57/13.62 (ax8)
% 90.57/13.62 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 90.57/13.62 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 90.57/13.62
% 90.57/13.62 (co1)
% 90.57/13.65 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 90.57/13.65 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 90.57/13.65 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 90.57/13.65 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 90.57/13.65 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 90.57/13.65 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 90.57/13.65 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 90.57/13.65 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 90.57/13.65 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 90.57/13.65 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 90.57/13.65 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 90.57/13.65 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 90.57/13.65 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 90.57/13.65 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 90.57/13.65 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 90.57/13.65 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 90.57/13.65 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 90.57/13.65 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 90.57/13.65 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 90.57/13.65 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 90.57/13.65 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 90.57/13.65 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 90.57/13.65 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 90.57/13.65 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 90.57/13.65 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 90.57/13.65 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 90.57/13.65 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 90.57/13.65 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 90.57/13.65 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 90.57/13.65 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 90.57/13.65 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 90.57/13.65 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 90.57/13.65 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 90.57/13.65 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) =
% 90.57/13.65 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 90.57/13.65 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16)
% 90.57/13.65 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 &
% 90.57/13.65 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49)
% 90.57/13.65 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 &
% 90.57/13.65 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22)
% 90.57/13.65 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 &
% 90.57/13.65 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92
% 90.57/13.65 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) =
% 90.57/13.65 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 &
% 90.57/13.65 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) =
% 90.57/13.65 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) =
% 90.57/13.65 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 &
% 90.57/13.65 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) =
% 90.57/13.65 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 &
% 90.57/13.65 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 &
% 90.57/13.65 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134,
% 90.57/13.65 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 90.57/13.65 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131,
% 90.57/13.65 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 90.57/13.65 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125,
% 90.57/13.65 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125,
% 90.57/13.65 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92)
% 90.57/13.65 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113
% 90.57/13.65 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 90.57/13.65 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 90.57/13.65 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 90.57/13.65 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 90.57/13.65 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 90.57/13.65 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 90.57/13.65 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 90.57/13.65 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 90.57/13.65 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 90.57/13.65 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 90.57/13.65 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 90.57/13.65 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 90.57/13.65 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 90.57/13.65 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 90.57/13.65 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 90.57/13.65 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 90.57/13.65 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 90.57/13.65 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 90.57/13.65 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 90.57/13.65 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 90.57/13.65 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 90.57/13.65 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 90.57/13.65 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 90.57/13.65 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 90.57/13.65 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 90.57/13.65 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 90.57/13.65 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 90.57/13.65 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 90.57/13.65 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 90.57/13.65 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 90.57/13.65 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 90.57/13.65 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 90.57/13.65 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 90.57/13.65 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 90.57/13.65 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 90.57/13.65 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 90.57/13.65 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 90.57/13.65 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 90.57/13.65 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 90.57/13.65 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 90.57/13.65 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 90.57/13.65 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 90.57/13.65 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 90.57/13.65 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 90.57/13.65 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 90.57/13.65 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 90.57/13.65 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 90.57/13.65 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 90.57/13.65 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 90.57/13.65 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 90.57/13.65 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 90.57/13.65 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 90.57/13.65 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 90.57/13.65 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 90.57/13.65 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 90.57/13.65 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 90.57/13.65 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 90.57/13.65 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 90.57/13.65 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 90.57/13.65 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 90.57/13.65 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 90.57/13.65 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 90.57/13.65 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 90.57/13.65 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 90.57/13.65 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 90.57/13.65 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 90.57/13.65 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 90.57/13.65 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 90.57/13.65 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 90.57/13.65 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 90.57/13.65 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 90.57/13.65 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 90.57/13.65
% 90.57/13.65 (function-axioms)
% 90.57/13.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 90.57/13.66 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 90.57/13.66 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 90.57/13.66 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 90.57/13.66 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 90.57/13.66 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 90.57/13.66 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 90.57/13.66 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 90.57/13.66
% 90.57/13.66 Further assumptions not needed in the proof:
% 90.57/13.66 --------------------------------------------
% 90.57/13.66 ax7, ax9
% 90.57/13.66
% 90.57/13.66 Those formulas are unsatisfiable:
% 90.57/13.66 ---------------------------------
% 90.57/13.66
% 90.57/13.66 Begin of proof
% 90.57/13.66 |
% 90.57/13.66 | ALPHA: (ax1) implies:
% 90.57/13.67 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 90.57/13.67 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 90.57/13.67 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 90.57/13.67 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 90.57/13.67 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12,
% 90.57/13.67 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 90.57/13.67 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10)
% 90.57/13.67 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 90.57/13.67 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 90.57/13.67 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 90.57/13.67 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 90.57/13.67 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 90.57/13.67 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 90.57/13.67 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 90.57/13.67 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 90.57/13.67 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 90.57/13.67 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 90.57/13.67 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 90.57/13.67 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 90.57/13.67 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 90.57/13.67 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 90.57/13.67 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 90.57/13.67 |
% 90.57/13.67 | ALPHA: (ax2) implies:
% 90.57/13.68 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 90.57/13.68 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 90.57/13.68 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 90.57/13.68 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 90.57/13.68 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12,
% 90.57/13.68 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 90.57/13.68 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10)
% 90.57/13.68 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 90.57/13.68 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 90.57/13.68 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 90.57/13.68 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 =
% 90.57/13.68 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) &
% 90.57/13.68 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 =
% 90.57/13.68 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 |
% 90.57/13.68 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 =
% 90.57/13.68 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 |
% 90.57/13.68 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 =
% 90.57/13.68 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 |
% 90.57/13.68 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 =
% 90.57/13.68 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) &
% 90.57/13.68 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 =
% 90.57/13.68 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 |
% 90.57/13.68 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 =
% 90.57/13.68 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 |
% 90.57/13.68 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 =
% 90.57/13.68 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 90.57/13.68 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4
% 90.57/13.68 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 |
% 90.57/13.68 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 |
% 90.57/13.68 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13
% 90.57/13.68 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12
% 90.57/13.68 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 =
% 90.57/13.68 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1
% 90.57/13.68 | = e10))))
% 90.57/13.68 |
% 90.57/13.68 | ALPHA: (ax3) implies:
% 90.92/13.69 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 90.92/13.69 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 90.92/13.69 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 90.92/13.69 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 90.92/13.69 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22,
% 90.92/13.69 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 90.92/13.69 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20)
% 90.92/13.69 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 90.92/13.69 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 90.92/13.69 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 90.92/13.69 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 =
% 90.92/13.69 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20)
% 90.92/13.69 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12
% 90.92/13.69 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21
% 90.92/13.69 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) &
% 90.92/13.69 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 |
% 90.92/13.69 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 90.92/13.69 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22
% 90.92/13.69 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 =
% 90.92/13.69 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2
% 90.92/13.69 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1
% 90.92/13.69 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 90.92/13.69 |
% 90.92/13.69 | ALPHA: (ax4) implies:
% 90.92/13.70 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 90.92/13.70 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 90.92/13.70 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 90.92/13.70 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 90.92/13.70 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22,
% 90.92/13.70 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 90.92/13.70 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20)
% 90.92/13.70 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 90.92/13.70 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 90.92/13.70 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 90.92/13.70 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 =
% 90.92/13.70 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) &
% 90.92/13.70 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 =
% 90.92/13.70 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 |
% 90.92/13.70 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 =
% 90.92/13.70 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 |
% 90.92/13.70 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 =
% 90.92/13.70 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 |
% 90.92/13.70 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 =
% 90.92/13.70 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) &
% 90.92/13.70 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 =
% 90.92/13.70 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 |
% 90.92/13.70 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 =
% 90.92/13.70 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 |
% 90.92/13.70 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 =
% 90.92/13.70 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 90.92/13.70 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4
% 90.92/13.70 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 |
% 90.92/13.70 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 |
% 90.92/13.70 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23
% 90.92/13.70 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22
% 90.92/13.70 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 =
% 90.92/13.70 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1
% 90.92/13.70 | = e20))))
% 90.92/13.70 |
% 90.92/13.70 | ALPHA: (ax5) implies:
% 90.92/13.71 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 90.92/13.71 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 90.92/13.71 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 90.92/13.71 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 90.92/13.71 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 90.92/13.71 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 90.92/13.71 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 90.92/13.71 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 90.92/13.71 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 90.92/13.71 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 90.92/13.71 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 90.92/13.71 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 90.92/13.71 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 90.92/13.71 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 90.92/13.71 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 &
% 90.92/13.71 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 &
% 90.92/13.71 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 &
% 90.92/13.71 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 &
% 90.92/13.71 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 &
% 90.92/13.71 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13)
% 90.92/13.71 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 90.92/13.71 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 90.92/13.71 |
% 90.92/13.71 | ALPHA: (ax6) implies:
% 90.92/13.71 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 90.92/13.71 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 90.92/13.71 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 90.92/13.71 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 90.92/13.71 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 90.92/13.71 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 90.92/13.71 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 90.92/13.71 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 90.92/13.71 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 90.92/13.71 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 90.92/13.71 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 90.92/13.71 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 90.92/13.71 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 90.92/13.71 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 90.92/13.71 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 &
% 90.92/13.71 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 &
% 90.92/13.71 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 &
% 90.92/13.71 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 &
% 90.92/13.71 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 &
% 90.92/13.71 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13)
% 90.92/13.71 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 90.92/13.71 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 90.92/13.71 |
% 90.92/13.71 | ALPHA: (ax8) implies:
% 90.92/13.71 | (7) ~ (e21 = e20)
% 90.92/13.71 | (8) ~ (e22 = e20)
% 90.92/13.71 | (9) ~ (e23 = e20)
% 90.92/13.71 | (10) ~ (e23 = e22)
% 90.92/13.71 |
% 90.92/13.71 | ALPHA: (ax10) implies:
% 90.92/13.73 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 90.92/13.73 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 90.92/13.73 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 90.92/13.73 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 90.92/13.73 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 90.92/13.73 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 90.92/13.73 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v15) =
% 90.92/13.73 | v31 & op1(e13, v14) = v27 & op1(e13, v11) = v23 & op1(e13, v6) = v19
% 90.92/13.73 | & op1(e13, e13) = v15 & op1(e13, e12) = v13 & op1(e13, e11) = v9 &
% 90.92/13.73 | op1(e13, e10) = v3 & op1(e12, v13) = v30 & op1(e12, v12) = v26 &
% 90.92/13.73 | op1(e12, v10) = v22 & op1(e12, v5) = v18 & op1(e12, e13) = v14 &
% 90.92/13.73 | op1(e12, e12) = v12 & op1(e12, e11) = v8 & op1(e12, e10) = v2 &
% 90.92/13.73 | op1(e11, v9) = v29 & op1(e11, v8) = v25 & op1(e11, v7) = v21 &
% 90.92/13.73 | op1(e11, v4) = v17 & op1(e11, e13) = v11 & op1(e11, e12) = v10 &
% 90.92/13.73 | op1(e11, e11) = v7 & op1(e11, e10) = v1 & op1(e10, v3) = v28 &
% 90.92/13.73 | op1(e10, v2) = v24 & op1(e10, v1) = v20 & op1(e10, v0) = v16 &
% 90.92/13.73 | op1(e10, e13) = v6 & op1(e10, e12) = v5 & op1(e10, e11) = v4 &
% 90.92/13.73 | op1(e10, e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 90.92/13.73 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 90.92/13.73 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 90.92/13.73 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 90.92/13.73 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v30
% 90.92/13.73 | = e12 & v14 = v13 & ~ (v13 = v12)) | (v29 = e11 & v11 = v9 & ~
% 90.92/13.73 | (v9 = v7)) | (v28 = e10 & v6 = v3 & ~ (v3 = v0)) | (v27 = e13 &
% 90.92/13.73 | v14 = v13 & ~ (v15 = v13)) | (v25 = e11 & v10 = v8 & ~ (v8 =
% 90.92/13.73 | v7)) | (v24 = e10 & v5 = v2 & ~ (v2 = v0)) | (v23 = e13 & v11
% 90.92/13.73 | = v9 & ~ (v15 = v9)) | (v22 = e12 & v10 = v8 & ~ (v12 = v8)) |
% 90.92/13.73 | (v20 = e10 & v4 = v1 & ~ (v1 = v0)) | (v19 = e13 & v6 = v3 & ~
% 90.92/13.73 | (v15 = v3)) | (v18 = e12 & v5 = v2 & ~ (v12 = v2)) | (v17 = e11
% 90.92/13.73 | & v4 = v1 & ~ (v7 = v1))) & ((v15 = e12 & ( ~ (v14 = e13) | ~
% 90.92/13.73 | (v13 = e13)) & ( ~ (v14 = e12) | ~ (v13 = e12)) & ( ~ (v14 =
% 90.92/13.73 | e11) | ~ (v13 = e11)) & ( ~ (v14 = e10) | ~ (v13 = e10)))
% 90.92/13.73 | | (v15 = e11 & ( ~ (v11 = e13) | ~ (v9 = e13)) & ( ~ (v11 = e12)
% 90.92/13.73 | | ~ (v9 = e12)) & ( ~ (v11 = e11) | ~ (v9 = e11)) & ( ~ (v11
% 90.92/13.73 | = e10) | ~ (v9 = e10))) | (v15 = e10 & ( ~ (v6 = e13) | ~
% 90.92/13.73 | (v3 = e13)) & ( ~ (v6 = e12) | ~ (v3 = e12)) & ( ~ (v6 = e11)
% 90.92/13.73 | | ~ (v3 = e11)) & ( ~ (v6 = e10) | ~ (v3 = e10))) | (v12 =
% 90.92/13.73 | e13 & ( ~ (v14 = e13) | ~ (v13 = e13)) & ( ~ (v14 = e12) | ~
% 90.92/13.73 | (v13 = e12)) & ( ~ (v14 = e11) | ~ (v13 = e11)) & ( ~ (v14 =
% 90.92/13.73 | e10) | ~ (v13 = e10))) | (v12 = e11 & ( ~ (v10 = e13) | ~
% 90.92/13.73 | (v8 = e13)) & ( ~ (v10 = e12) | ~ (v8 = e12)) & ( ~ (v10 =
% 90.92/13.73 | e11) | ~ (v8 = e11)) & ( ~ (v10 = e10) | ~ (v8 = e10))) |
% 90.92/13.73 | (v12 = e10 & ( ~ (v5 = e13) | ~ (v2 = e13)) & ( ~ (v5 = e12) | ~
% 90.92/13.73 | (v2 = e12)) & ( ~ (v5 = e11) | ~ (v2 = e11)) & ( ~ (v5 = e10)
% 90.92/13.73 | | ~ (v2 = e10))) | (v7 = e13 & ( ~ (v11 = e13) | ~ (v9 =
% 90.92/13.73 | e13)) & ( ~ (v11 = e12) | ~ (v9 = e12)) & ( ~ (v11 = e11) |
% 90.92/13.73 | ~ (v9 = e11)) & ( ~ (v11 = e10) | ~ (v9 = e10))) | (v7 = e12
% 90.92/13.73 | & ( ~ (v10 = e13) | ~ (v8 = e13)) & ( ~ (v10 = e12) | ~ (v8 =
% 90.92/13.73 | e12)) & ( ~ (v10 = e11) | ~ (v8 = e11)) & ( ~ (v10 = e10) |
% 90.92/13.73 | ~ (v8 = e10))) | (v7 = e10 & ( ~ (v4 = e13) | ~ (v1 = e13))
% 90.92/13.73 | & ( ~ (v4 = e12) | ~ (v1 = e12)) & ( ~ (v4 = e11) | ~ (v1 =
% 90.92/13.73 | e11)) & ( ~ (v4 = e10) | ~ (v1 = e10))) | (v0 = e13 & ( ~
% 90.92/13.73 | (v6 = e13) | ~ (v3 = e13)) & ( ~ (v6 = e12) | ~ (v3 = e12))
% 90.92/13.73 | & ( ~ (v6 = e11) | ~ (v3 = e11)) & ( ~ (v6 = e10) | ~ (v3 =
% 90.92/13.73 | e10))) | (v0 = e12 & ( ~ (v5 = e13) | ~ (v2 = e13)) & ( ~
% 90.92/13.73 | (v5 = e12) | ~ (v2 = e12)) & ( ~ (v5 = e11) | ~ (v2 = e11))
% 90.92/13.73 | & ( ~ (v5 = e10) | ~ (v2 = e10))) | (v0 = e11 & ( ~ (v4 = e13)
% 90.92/13.73 | | ~ (v1 = e13)) & ( ~ (v4 = e12) | ~ (v1 = e12)) & ( ~ (v4 =
% 90.92/13.73 | e11) | ~ (v1 = e11)) & ( ~ (v4 = e10) | ~ (v1 = e10)))) &
% 90.92/13.73 | ((v14 = e13 & v13 = e13 & ~ (v15 = e13) & ~ (v11 = e11) & ~ (v6 =
% 90.92/13.73 | e10) & ~ (e13 = e12)) | (v14 = e12 & v13 = e12 & ~ (v12 =
% 90.92/13.73 | e12) & ~ (v10 = e11) & ~ (v5 = e10) & ~ (e13 = e12)) | (v11
% 90.92/13.73 | = e13 & v9 = e13 & ~ (v15 = e13) & ~ (v14 = e12) & ~ (v6 =
% 90.92/13.73 | e10) & ~ (e13 = e11)) | (v11 = e11 & v9 = e11 & ~ (v8 = e12)
% 90.92/13.73 | & ~ (v7 = e11) & ~ (v4 = e10) & ~ (e13 = e11)) | (v10 = e12 &
% 90.92/13.73 | v8 = e12 & ~ (v13 = e13) & ~ (v12 = e12) & ~ (v5 = e10) & ~
% 90.92/13.73 | (e12 = e11)) | (v10 = e11 & v8 = e11 & ~ (v9 = e13) & ~ (v7 =
% 90.92/13.73 | e11) & ~ (v4 = e10) & ~ (e12 = e11)) | (v6 = e13 & v3 = e13
% 90.92/13.73 | & ~ (v15 = e13) & ~ (v14 = e12) & ~ (v11 = e11) & ~ (e13 =
% 90.92/13.73 | e10)) | (v5 = e12 & v2 = e12 & ~ (v13 = e13) & ~ (v12 = e12)
% 90.92/13.73 | & ~ (v10 = e11) & ~ (e12 = e10)) | (v4 = e11 & v1 = e11 & ~
% 90.92/13.73 | (v9 = e13) & ~ (v8 = e12) & ~ (v7 = e11) & ~ (e11 = e10)) | (
% 90.92/13.73 | ~ (v3 = e13) & ~ (v2 = e12) & ~ (v1 = e11) & ~ (v0 = e10) &
% 90.92/13.73 | ((v6 = e10 & v3 = e10) | (v5 = e10 & v2 = e10) | (v4 = e10 & v1
% 90.92/13.73 | = e10)))))
% 90.92/13.73 |
% 90.92/13.73 | ALPHA: (ax11) implies:
% 90.92/13.75 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 90.92/13.75 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 90.92/13.75 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 90.92/13.75 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 90.92/13.75 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 90.92/13.75 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 90.92/13.75 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v15) =
% 90.92/13.75 | v31 & op2(e23, v14) = v27 & op2(e23, v11) = v23 & op2(e23, v6) = v19
% 90.92/13.75 | & op2(e23, e23) = v15 & op2(e23, e22) = v13 & op2(e23, e21) = v9 &
% 90.92/13.75 | op2(e23, e20) = v3 & op2(e22, v13) = v30 & op2(e22, v12) = v26 &
% 90.92/13.75 | op2(e22, v10) = v22 & op2(e22, v5) = v18 & op2(e22, e23) = v14 &
% 90.92/13.75 | op2(e22, e22) = v12 & op2(e22, e21) = v8 & op2(e22, e20) = v2 &
% 90.92/13.75 | op2(e21, v9) = v29 & op2(e21, v8) = v25 & op2(e21, v7) = v21 &
% 90.92/13.75 | op2(e21, v4) = v17 & op2(e21, e23) = v11 & op2(e21, e22) = v10 &
% 90.92/13.75 | op2(e21, e21) = v7 & op2(e21, e20) = v1 & op2(e20, v3) = v28 &
% 90.92/13.75 | op2(e20, v2) = v24 & op2(e20, v1) = v20 & op2(e20, v0) = v16 &
% 90.92/13.75 | op2(e20, e23) = v6 & op2(e20, e22) = v5 & op2(e20, e21) = v4 &
% 90.92/13.75 | op2(e20, e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 90.92/13.75 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 90.92/13.75 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 90.92/13.75 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 90.92/13.75 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v30
% 90.92/13.75 | = e22 & v14 = v13 & ~ (v13 = v12)) | (v29 = e21 & v11 = v9 & ~
% 90.92/13.75 | (v9 = v7)) | (v28 = e20 & v6 = v3 & ~ (v3 = v0)) | (v27 = e23 &
% 90.92/13.75 | v14 = v13 & ~ (v15 = v13)) | (v25 = e21 & v10 = v8 & ~ (v8 =
% 90.92/13.75 | v7)) | (v24 = e20 & v5 = v2 & ~ (v2 = v0)) | (v23 = e23 & v11
% 90.92/13.75 | = v9 & ~ (v15 = v9)) | (v22 = e22 & v10 = v8 & ~ (v12 = v8)) |
% 90.92/13.75 | (v20 = e20 & v4 = v1 & ~ (v1 = v0)) | (v19 = e23 & v6 = v3 & ~
% 90.92/13.75 | (v15 = v3)) | (v18 = e22 & v5 = v2 & ~ (v12 = v2)) | (v17 = e21
% 90.92/13.75 | & v4 = v1 & ~ (v7 = v1))) & ((v15 = e22 & ( ~ (v14 = e23) | ~
% 90.92/13.75 | (v13 = e23)) & ( ~ (v14 = e22) | ~ (v13 = e22)) & ( ~ (v14 =
% 90.92/13.75 | e21) | ~ (v13 = e21)) & ( ~ (v14 = e20) | ~ (v13 = e20)))
% 90.92/13.75 | | (v15 = e21 & ( ~ (v11 = e23) | ~ (v9 = e23)) & ( ~ (v11 = e22)
% 90.92/13.75 | | ~ (v9 = e22)) & ( ~ (v11 = e21) | ~ (v9 = e21)) & ( ~ (v11
% 90.92/13.75 | = e20) | ~ (v9 = e20))) | (v15 = e20 & ( ~ (v6 = e23) | ~
% 90.92/13.75 | (v3 = e23)) & ( ~ (v6 = e22) | ~ (v3 = e22)) & ( ~ (v6 = e21)
% 90.92/13.75 | | ~ (v3 = e21)) & ( ~ (v6 = e20) | ~ (v3 = e20))) | (v12 =
% 90.92/13.75 | e23 & ( ~ (v14 = e23) | ~ (v13 = e23)) & ( ~ (v14 = e22) | ~
% 90.92/13.75 | (v13 = e22)) & ( ~ (v14 = e21) | ~ (v13 = e21)) & ( ~ (v14 =
% 90.92/13.75 | e20) | ~ (v13 = e20))) | (v12 = e21 & ( ~ (v10 = e23) | ~
% 90.92/13.75 | (v8 = e23)) & ( ~ (v10 = e22) | ~ (v8 = e22)) & ( ~ (v10 =
% 90.92/13.75 | e21) | ~ (v8 = e21)) & ( ~ (v10 = e20) | ~ (v8 = e20))) |
% 90.92/13.75 | (v12 = e20 & ( ~ (v5 = e23) | ~ (v2 = e23)) & ( ~ (v5 = e22) | ~
% 90.92/13.75 | (v2 = e22)) & ( ~ (v5 = e21) | ~ (v2 = e21)) & ( ~ (v5 = e20)
% 90.92/13.75 | | ~ (v2 = e20))) | (v7 = e23 & ( ~ (v11 = e23) | ~ (v9 =
% 90.92/13.75 | e23)) & ( ~ (v11 = e22) | ~ (v9 = e22)) & ( ~ (v11 = e21) |
% 90.92/13.75 | ~ (v9 = e21)) & ( ~ (v11 = e20) | ~ (v9 = e20))) | (v7 = e22
% 90.92/13.75 | & ( ~ (v10 = e23) | ~ (v8 = e23)) & ( ~ (v10 = e22) | ~ (v8 =
% 90.92/13.75 | e22)) & ( ~ (v10 = e21) | ~ (v8 = e21)) & ( ~ (v10 = e20) |
% 90.92/13.75 | ~ (v8 = e20))) | (v7 = e20 & ( ~ (v4 = e23) | ~ (v1 = e23))
% 90.92/13.75 | & ( ~ (v4 = e22) | ~ (v1 = e22)) & ( ~ (v4 = e21) | ~ (v1 =
% 90.92/13.75 | e21)) & ( ~ (v4 = e20) | ~ (v1 = e20))) | (v0 = e23 & ( ~
% 90.92/13.75 | (v6 = e23) | ~ (v3 = e23)) & ( ~ (v6 = e22) | ~ (v3 = e22))
% 90.92/13.75 | & ( ~ (v6 = e21) | ~ (v3 = e21)) & ( ~ (v6 = e20) | ~ (v3 =
% 90.92/13.75 | e20))) | (v0 = e22 & ( ~ (v5 = e23) | ~ (v2 = e23)) & ( ~
% 90.92/13.75 | (v5 = e22) | ~ (v2 = e22)) & ( ~ (v5 = e21) | ~ (v2 = e21))
% 90.92/13.75 | & ( ~ (v5 = e20) | ~ (v2 = e20))) | (v0 = e21 & ( ~ (v4 = e23)
% 90.92/13.75 | | ~ (v1 = e23)) & ( ~ (v4 = e22) | ~ (v1 = e22)) & ( ~ (v4 =
% 90.92/13.75 | e21) | ~ (v1 = e21)) & ( ~ (v4 = e20) | ~ (v1 = e20)))) &
% 90.92/13.75 | ((v14 = e23 & v13 = e23 & ~ (v15 = e23) & ~ (v11 = e21) & ~ (v6 =
% 90.92/13.75 | e20) & ~ (e23 = e22)) | (v14 = e22 & v13 = e22 & ~ (v12 =
% 90.92/13.75 | e22) & ~ (v10 = e21) & ~ (v5 = e20) & ~ (e23 = e22)) | (v11
% 90.92/13.75 | = e23 & v9 = e23 & ~ (v15 = e23) & ~ (v14 = e22) & ~ (v6 =
% 90.92/13.75 | e20) & ~ (e23 = e21)) | (v11 = e21 & v9 = e21 & ~ (v8 = e22)
% 90.92/13.75 | & ~ (v7 = e21) & ~ (v4 = e20) & ~ (e23 = e21)) | (v10 = e22 &
% 90.92/13.75 | v8 = e22 & ~ (v13 = e23) & ~ (v12 = e22) & ~ (v5 = e20) & ~
% 90.92/13.75 | (e22 = e21)) | (v10 = e21 & v8 = e21 & ~ (v9 = e23) & ~ (v7 =
% 90.92/13.75 | e21) & ~ (v4 = e20) & ~ (e22 = e21)) | (v6 = e23 & v3 = e23
% 90.92/13.75 | & ~ (v15 = e23) & ~ (v14 = e22) & ~ (v11 = e21) & ~ (e23 =
% 90.92/13.75 | e20)) | (v5 = e22 & v2 = e22 & ~ (v13 = e23) & ~ (v12 = e22)
% 90.92/13.75 | & ~ (v10 = e21) & ~ (e22 = e20)) | (v4 = e21 & v1 = e21 & ~
% 90.92/13.75 | (v9 = e23) & ~ (v8 = e22) & ~ (v7 = e21) & ~ (e21 = e20)) | (
% 90.92/13.75 | ~ (v3 = e23) & ~ (v2 = e22) & ~ (v1 = e21) & ~ (v0 = e20) &
% 90.92/13.75 | ((v6 = e20 & v3 = e20) | (v5 = e20 & v2 = e20) | (v4 = e20 & v1
% 90.92/13.75 | = e20)))))
% 90.92/13.75 |
% 90.92/13.75 | ALPHA: (ax12) implies:
% 90.92/13.75 | (13) op1(e10, e10) = e11
% 90.92/13.75 | (14) op1(e10, e11) = e13
% 90.92/13.75 | (15) op1(e13, e10) = e12
% 90.92/13.75 |
% 90.92/13.75 | ALPHA: (ax13) implies:
% 90.92/13.75 | (16) op2(e20, e20) = e21
% 90.92/13.75 | (17) op2(e20, e21) = e23
% 90.92/13.75 | (18) op2(e23, e20) = e22
% 90.92/13.75 |
% 90.92/13.75 | ALPHA: (ax14) implies:
% 90.92/13.75 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = v2 & h1(e12) = v1
% 90.92/13.75 | & h1(e11) = v0 & h1(e10) = e20 & op2(v2, e20) = v1 & op2(e20, v0) =
% 90.92/13.75 | v2 & op2(e20, e20) = v0 & $i(v2) & $i(v1) & $i(v0))
% 90.92/13.75 |
% 90.92/13.75 | ALPHA: (ax15) implies:
% 90.92/13.75 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = v2 & h2(e12) = v1
% 90.92/13.75 | & h2(e11) = v0 & h2(e10) = e21 & op2(v2, e21) = v1 & op2(e21, v0) =
% 90.92/13.75 | v2 & op2(e21, e21) = v0 & $i(v2) & $i(v1) & $i(v0))
% 90.92/13.75 |
% 90.92/13.75 | ALPHA: (ax16) implies:
% 90.92/13.76 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = v2 & h3(e12) = v1
% 90.92/13.76 | & h3(e11) = v0 & h3(e10) = e22 & op2(v2, e22) = v1 & op2(e22, v0) =
% 90.92/13.76 | v2 & op2(e22, e22) = v0 & $i(v2) & $i(v1) & $i(v0))
% 90.92/13.76 |
% 90.92/13.76 | ALPHA: (ax17) implies:
% 90.92/13.76 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = v2 & h4(e12) = v1
% 90.92/13.76 | & h4(e11) = v0 & h4(e10) = e23 & op2(v2, e23) = v1 & op2(e23, v0) =
% 90.92/13.76 | v2 & op2(e23, e23) = v0 & $i(v2) & $i(v1) & $i(v0))
% 90.92/13.76 |
% 90.92/13.76 | ALPHA: (co1) implies:
% 91.32/13.78 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 91.32/13.78 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 91.32/13.78 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 91.32/13.78 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 91.32/13.78 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 91.32/13.78 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 91.32/13.78 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 91.32/13.78 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 91.32/13.78 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 91.32/13.78 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 91.32/13.78 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 91.32/13.78 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 91.32/13.78 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 91.32/13.78 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 91.32/13.78 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 91.32/13.78 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 91.32/13.78 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 91.32/13.78 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 91.32/13.78 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 91.32/13.78 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 91.32/13.78 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 91.32/13.78 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 91.32/13.78 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 91.32/13.78 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 91.32/13.78 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 91.32/13.78 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 91.32/13.78 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 91.32/13.78 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 91.32/13.78 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 91.32/13.78 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 91.32/13.78 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 91.32/13.78 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 91.32/13.78 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 91.32/13.78 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 91.32/13.78 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 91.32/13.78 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 &
% 91.32/13.79 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 91.32/13.79 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 &
% 91.32/13.79 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 &
% 91.32/13.79 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 &
% 91.32/13.79 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 &
% 91.32/13.79 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 &
% 91.32/13.79 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 &
% 91.32/13.79 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 &
% 91.32/13.79 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 &
% 91.32/13.79 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 &
% 91.32/13.79 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 &
% 91.32/13.79 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 &
% 91.32/13.79 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0)
% 91.32/13.79 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) =
% 91.32/13.79 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41
% 91.32/13.79 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 &
% 91.32/13.79 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 &
% 91.32/13.79 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) =
% 91.32/13.79 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134)
% 91.32/13.79 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 91.32/13.79 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 &
% 91.32/13.79 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) =
% 91.32/13.79 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128,
% 91.32/13.79 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 &
% 91.32/13.79 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) =
% 91.32/13.79 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) =
% 91.32/13.79 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) =
% 91.32/13.79 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) =
% 91.32/13.79 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) =
% 91.32/13.79 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) =
% 91.32/13.79 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 91.32/13.79 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) =
% 91.32/13.79 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) =
% 91.32/13.79 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) =
% 91.32/13.79 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) =
% 91.32/13.79 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) =
% 91.32/13.79 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39
% 91.32/13.79 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 &
% 91.32/13.79 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 &
% 91.32/13.79 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 91.32/13.79 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13,
% 91.32/13.79 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12,
% 91.32/13.79 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12,
% 91.32/13.79 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11,
% 91.32/13.79 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10,
% 91.32/13.79 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) &
% 91.32/13.79 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 91.32/13.79 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) &
% 91.32/13.79 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 91.32/13.79 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) &
% 91.32/13.79 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) &
% 91.32/13.79 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 91.32/13.79 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) &
% 91.32/13.79 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 91.32/13.79 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) &
% 91.32/13.79 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 91.32/13.79 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92)
% 91.32/13.79 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) &
% 91.32/13.79 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79)
% 91.32/13.79 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 91.32/13.79 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66)
% 91.32/13.79 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 91.32/13.79 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53)
% 91.32/13.79 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 91.32/13.79 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40)
% 91.32/13.79 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 91.32/13.79 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 91.32/13.79 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 91.32/13.79 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 91.32/13.79 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 91.32/13.79 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 91.32/13.79 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 =
% 91.32/13.79 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) |
% 91.32/13.79 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139
% 91.32/13.79 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130)
% 91.32/13.79 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~
% 91.32/13.79 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 =
% 91.32/13.79 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) |
% 91.32/13.79 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 =
% 91.32/13.79 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) &
% 91.32/13.79 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~
% 91.32/13.79 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 =
% 91.32/13.79 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) |
% 91.32/13.79 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 =
% 91.32/13.79 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~
% 91.32/13.79 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23))
% 91.32/13.79 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 91.32/13.79 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~
% 91.32/13.79 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20)
% 91.32/13.79 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83
% 91.32/13.79 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~
% 91.32/13.79 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) |
% 91.32/13.79 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) |
% 91.32/13.79 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23)
% 91.32/13.79 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 =
% 91.32/13.79 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~
% 91.32/13.79 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20)
% 91.32/13.79 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 91.32/13.79 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~
% 91.32/13.79 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) |
% 91.32/13.79 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) |
% 91.32/13.79 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~
% 91.32/13.79 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) |
% 91.32/13.79 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22))
% 91.32/13.79 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 =
% 91.32/13.79 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~
% 91.32/13.79 | (v2 = e20))))
% 91.32/13.79 |
% 91.32/13.79 | ALPHA: (function-axioms) implies:
% 91.32/13.79 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 91.32/13.79 | | ~ (h1(v2) = v0))
% 91.32/13.79 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 91.32/13.79 | | ~ (h2(v2) = v0))
% 91.32/13.79 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 91.32/13.79 | | ~ (h3(v2) = v0))
% 91.32/13.79 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 91.32/13.79 | | ~ (h4(v2) = v0))
% 91.32/13.79 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 91.32/13.79 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 91.32/13.79 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 91.32/13.79 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 91.32/13.79 |
% 91.32/13.79 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 91.32/13.79 | (30) h2(e13) = all_4_0 & h2(e12) = all_4_1 & h2(e11) = all_4_2 & h2(e10) =
% 91.32/13.79 | e21 & op2(all_4_0, e21) = all_4_1 & op2(e21, all_4_2) = all_4_0 &
% 91.32/13.79 | op2(e21, e21) = all_4_2 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2)
% 91.32/13.79 |
% 91.32/13.79 | ALPHA: (30) implies:
% 91.32/13.79 | (31) op2(e21, e21) = all_4_2
% 91.32/13.79 | (32) op2(e21, all_4_2) = all_4_0
% 91.32/13.79 | (33) op2(all_4_0, e21) = all_4_1
% 91.32/13.79 | (34) h2(e10) = e21
% 91.32/13.79 | (35) h2(e11) = all_4_2
% 91.32/13.79 | (36) h2(e12) = all_4_1
% 91.32/13.79 | (37) h2(e13) = all_4_0
% 91.32/13.79 |
% 91.32/13.79 | DELTA: instantiating (21) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 91.32/13.79 | (38) h3(e13) = all_6_0 & h3(e12) = all_6_1 & h3(e11) = all_6_2 & h3(e10) =
% 91.32/13.79 | e22 & op2(all_6_0, e22) = all_6_1 & op2(e22, all_6_2) = all_6_0 &
% 91.32/13.79 | op2(e22, e22) = all_6_2 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2)
% 91.32/13.79 |
% 91.32/13.79 | ALPHA: (38) implies:
% 91.32/13.79 | (39) op2(e22, e22) = all_6_2
% 91.32/13.79 | (40) op2(e22, all_6_2) = all_6_0
% 91.32/13.79 | (41) h3(e10) = e22
% 91.32/13.79 | (42) h3(e11) = all_6_2
% 91.32/13.79 |
% 91.32/13.79 | DELTA: instantiating (22) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 91.32/13.79 | (43) h4(e13) = all_8_0 & h4(e12) = all_8_1 & h4(e11) = all_8_2 & h4(e10) =
% 91.32/13.79 | e23 & op2(all_8_0, e23) = all_8_1 & op2(e23, all_8_2) = all_8_0 &
% 91.32/13.79 | op2(e23, e23) = all_8_2 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2)
% 91.32/13.79 |
% 91.32/13.79 | ALPHA: (43) implies:
% 91.32/13.79 | (44) op2(e23, e23) = all_8_2
% 91.32/13.79 | (45) op2(e23, all_8_2) = all_8_0
% 91.32/13.79 | (46) op2(all_8_0, e23) = all_8_1
% 91.32/13.79 | (47) h4(e10) = e23
% 91.32/13.79 | (48) h4(e11) = all_8_2
% 91.32/13.79 | (49) h4(e12) = all_8_1
% 91.32/13.79 | (50) h4(e13) = all_8_0
% 91.32/13.79 |
% 91.32/13.79 | DELTA: instantiating (19) with fresh symbols all_10_0, all_10_1, all_10_2
% 91.32/13.79 | gives:
% 91.32/13.80 | (51) h1(e13) = all_10_0 & h1(e12) = all_10_1 & h1(e11) = all_10_2 & h1(e10)
% 91.32/13.80 | = e20 & op2(all_10_0, e20) = all_10_1 & op2(e20, all_10_2) = all_10_0
% 91.32/13.80 | & op2(e20, e20) = all_10_2 & $i(all_10_0) & $i(all_10_1) &
% 91.32/13.80 | $i(all_10_2)
% 91.32/13.80 |
% 91.32/13.80 | ALPHA: (51) implies:
% 91.32/13.80 | (52) op2(e20, e20) = all_10_2
% 91.32/13.80 | (53) op2(e20, all_10_2) = all_10_0
% 91.32/13.80 | (54) op2(all_10_0, e20) = all_10_1
% 91.32/13.80 | (55) h1(e10) = e20
% 91.32/13.80 | (56) h1(e11) = all_10_2
% 91.32/13.80 | (57) h1(e12) = all_10_1
% 91.32/13.80 | (58) h1(e13) = all_10_0
% 91.32/13.80 |
% 91.32/13.80 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2,
% 91.32/13.80 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 91.32/13.80 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives:
% 91.32/13.80 | (59) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 =
% 91.32/13.80 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~
% 91.32/13.80 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 =
% 91.32/13.80 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~
% 91.32/13.80 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 =
% 91.32/13.80 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) &
% 91.32/13.80 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 =
% 91.32/13.80 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) &
% 91.32/13.80 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 =
% 91.32/13.80 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) &
% 91.32/13.80 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 =
% 91.32/13.80 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) &
% 91.32/13.80 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 =
% 91.32/13.80 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) &
% 91.32/13.80 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 =
% 91.32/13.80 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11)
% 91.32/13.80 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~
% 91.32/13.80 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 =
% 91.32/13.80 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15)
% 91.32/13.80 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13,
% 91.32/13.80 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) =
% 91.32/13.80 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 &
% 91.32/13.80 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) =
% 91.32/13.80 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 &
% 91.32/13.80 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) =
% 91.32/13.80 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 &
% 91.32/13.80 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) &
% 91.32/13.80 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 91.32/13.80 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 91.32/13.80 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15)
% 91.32/13.80 |
% 91.32/13.80 | ALPHA: (59) implies:
% 91.32/13.80 | (60) ~ (all_12_14 = all_12_15)
% 91.32/13.80 | (61) ~ (all_12_13 = all_12_15)
% 91.32/13.80 | (62) ~ (all_12_13 = all_12_14)
% 91.32/13.80 | (63) ~ (all_12_12 = all_12_14)
% 91.32/13.80 | (64) ~ (all_12_12 = all_12_13)
% 91.32/13.80 | (65) ~ (all_12_10 = all_12_14)
% 91.32/13.80 | (66) ~ (all_12_10 = all_12_11)
% 91.32/13.80 | (67) ~ (all_12_9 = all_12_13)
% 91.32/13.80 | (68) ~ (all_12_9 = all_12_11)
% 91.32/13.80 | (69) ~ (all_12_9 = all_12_10)
% 91.32/13.80 | (70) ~ (all_12_8 = all_12_12)
% 91.32/13.80 | (71) ~ (all_12_8 = all_12_11)
% 91.32/13.80 | (72) ~ (all_12_8 = all_12_10)
% 91.32/13.80 | (73) ~ (all_12_8 = all_12_9)
% 91.32/13.80 | (74) ~ (all_12_7 = all_12_15)
% 91.32/13.80 | (75) ~ (all_12_7 = all_12_11)
% 91.32/13.80 | (76) ~ (all_12_6 = all_12_14)
% 91.32/13.80 | (77) ~ (all_12_6 = all_12_10)
% 91.32/13.80 | (78) ~ (all_12_6 = all_12_7)
% 91.32/13.80 | (79) ~ (all_12_5 = all_12_13)
% 91.32/13.80 | (80) ~ (all_12_5 = all_12_9)
% 91.32/13.80 | (81) ~ (all_12_5 = all_12_7)
% 91.32/13.80 | (82) ~ (all_12_5 = all_12_6)
% 91.32/13.80 | (83) ~ (all_12_4 = all_12_12)
% 91.32/13.80 | (84) ~ (all_12_4 = all_12_8)
% 91.32/13.80 | (85) ~ (all_12_4 = all_12_7)
% 91.32/13.80 | (86) ~ (all_12_4 = all_12_6)
% 91.32/13.80 | (87) ~ (all_12_4 = all_12_5)
% 91.32/13.80 | (88) ~ (all_12_3 = all_12_15)
% 91.32/13.80 | (89) ~ (all_12_3 = all_12_11)
% 91.32/13.80 | (90) ~ (all_12_3 = all_12_7)
% 91.32/13.80 | (91) ~ (all_12_2 = all_12_14)
% 91.32/13.80 | (92) ~ (all_12_2 = all_12_10)
% 91.32/13.80 | (93) ~ (all_12_2 = all_12_6)
% 91.32/13.80 | (94) ~ (all_12_2 = all_12_3)
% 91.32/13.80 | (95) ~ (all_12_1 = all_12_13)
% 91.32/13.80 | (96) ~ (all_12_1 = all_12_9)
% 91.42/13.81 | (97) ~ (all_12_1 = all_12_5)
% 91.42/13.81 | (98) ~ (all_12_1 = all_12_3)
% 91.42/13.81 | (99) ~ (all_12_1 = all_12_2)
% 91.42/13.81 | (100) ~ (all_12_0 = all_12_12)
% 91.42/13.81 | (101) ~ (all_12_0 = all_12_8)
% 91.42/13.81 | (102) ~ (all_12_0 = all_12_4)
% 91.42/13.81 | (103) ~ (all_12_0 = all_12_3)
% 91.42/13.81 | (104) ~ (all_12_0 = all_12_2)
% 91.42/13.81 | (105) ~ (all_12_0 = all_12_1)
% 91.42/13.81 | (106) op1(e10, e10) = all_12_15
% 91.42/13.81 | (107) op1(e10, e11) = all_12_11
% 91.42/13.81 | (108) op1(e10, e12) = all_12_7
% 91.42/13.81 | (109) op1(e10, e13) = all_12_3
% 91.42/13.81 | (110) op1(e11, e10) = all_12_14
% 91.42/13.81 | (111) op1(e11, e11) = all_12_10
% 91.42/13.81 | (112) op1(e11, e12) = all_12_6
% 91.42/13.81 | (113) op1(e11, e13) = all_12_2
% 91.42/13.81 | (114) op1(e12, e10) = all_12_13
% 91.42/13.81 | (115) op1(e12, e11) = all_12_9
% 91.42/13.81 | (116) op1(e12, e12) = all_12_5
% 91.42/13.81 | (117) op1(e12, e13) = all_12_1
% 91.42/13.81 | (118) op1(e13, e10) = all_12_12
% 91.42/13.81 | (119) op1(e13, e11) = all_12_8
% 91.42/13.81 | (120) op1(e13, e12) = all_12_4
% 91.42/13.81 | (121) op1(e13, e13) = all_12_0
% 91.42/13.81 |
% 91.42/13.81 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2,
% 91.42/13.81 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 91.42/13.81 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives:
% 91.42/13.81 | (122) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 =
% 91.42/13.81 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) &
% 91.42/13.81 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 =
% 91.42/13.81 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) &
% 91.42/13.81 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 =
% 91.42/13.81 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) &
% 91.42/13.81 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 =
% 91.42/13.81 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) &
% 91.42/13.81 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 =
% 91.42/13.81 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) &
% 91.42/13.81 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 =
% 91.42/13.81 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) &
% 91.42/13.81 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8
% 91.42/13.81 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11)
% 91.42/13.81 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~
% 91.42/13.81 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 =
% 91.42/13.81 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 =
% 91.42/13.81 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 =
% 91.42/13.81 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 =
% 91.42/13.81 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 =
% 91.42/13.81 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 &
% 91.42/13.81 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23)
% 91.42/13.81 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 &
% 91.42/13.81 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22)
% 91.42/13.81 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 &
% 91.42/13.81 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) =
% 91.42/13.81 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) &
% 91.42/13.81 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) &
% 91.42/13.81 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) &
% 91.42/13.81 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) &
% 91.42/13.81 | $i(all_14_14) & $i(all_14_15)
% 91.42/13.81 |
% 91.42/13.81 | ALPHA: (122) implies:
% 91.42/13.81 | (123) ~ (all_14_14 = all_14_15)
% 91.42/13.81 | (124) ~ (all_14_13 = all_14_15)
% 91.42/13.81 | (125) ~ (all_14_13 = all_14_14)
% 91.42/13.81 | (126) ~ (all_14_12 = all_14_15)
% 91.42/13.81 | (127) ~ (all_14_12 = all_14_14)
% 91.42/13.81 | (128) ~ (all_14_12 = all_14_13)
% 91.42/13.82 | (129) ~ (all_14_11 = all_14_15)
% 91.42/13.82 | (130) ~ (all_14_10 = all_14_14)
% 91.42/13.82 | (131) ~ (all_14_10 = all_14_11)
% 91.42/13.82 | (132) ~ (all_14_9 = all_14_13)
% 91.42/13.82 | (133) ~ (all_14_9 = all_14_11)
% 91.42/13.82 | (134) ~ (all_14_9 = all_14_10)
% 91.42/13.82 | (135) ~ (all_14_8 = all_14_12)
% 91.42/13.82 | (136) ~ (all_14_8 = all_14_11)
% 91.42/13.82 | (137) ~ (all_14_8 = all_14_10)
% 91.42/13.82 | (138) ~ (all_14_8 = all_14_9)
% 91.42/13.82 | (139) ~ (all_14_7 = all_14_15)
% 91.42/13.82 | (140) ~ (all_14_7 = all_14_11)
% 91.42/13.82 | (141) ~ (all_14_6 = all_14_14)
% 91.42/13.82 | (142) ~ (all_14_6 = all_14_10)
% 91.42/13.82 | (143) ~ (all_14_6 = all_14_7)
% 91.42/13.82 | (144) ~ (all_14_5 = all_14_13)
% 91.42/13.82 | (145) ~ (all_14_5 = all_14_9)
% 91.42/13.82 | (146) ~ (all_14_5 = all_14_7)
% 91.42/13.82 | (147) ~ (all_14_5 = all_14_6)
% 91.42/13.82 | (148) ~ (all_14_4 = all_14_12)
% 91.42/13.82 | (149) ~ (all_14_4 = all_14_8)
% 91.42/13.82 | (150) ~ (all_14_4 = all_14_7)
% 91.42/13.82 | (151) ~ (all_14_4 = all_14_6)
% 91.42/13.82 | (152) ~ (all_14_4 = all_14_5)
% 91.42/13.82 | (153) ~ (all_14_3 = all_14_15)
% 91.42/13.82 | (154) ~ (all_14_3 = all_14_11)
% 91.42/13.82 | (155) ~ (all_14_3 = all_14_7)
% 91.42/13.82 | (156) ~ (all_14_2 = all_14_14)
% 91.42/13.82 | (157) ~ (all_14_2 = all_14_10)
% 91.42/13.82 | (158) ~ (all_14_2 = all_14_6)
% 91.42/13.82 | (159) ~ (all_14_2 = all_14_3)
% 91.42/13.82 | (160) ~ (all_14_1 = all_14_13)
% 91.42/13.82 | (161) ~ (all_14_1 = all_14_9)
% 91.42/13.82 | (162) ~ (all_14_1 = all_14_5)
% 91.42/13.82 | (163) ~ (all_14_1 = all_14_3)
% 91.42/13.82 | (164) ~ (all_14_1 = all_14_2)
% 91.42/13.82 | (165) ~ (all_14_0 = all_14_12)
% 91.42/13.82 | (166) ~ (all_14_0 = all_14_8)
% 91.42/13.82 | (167) ~ (all_14_0 = all_14_4)
% 91.42/13.82 | (168) ~ (all_14_0 = all_14_3)
% 91.42/13.82 | (169) ~ (all_14_0 = all_14_2)
% 91.42/13.82 | (170) ~ (all_14_0 = all_14_1)
% 91.42/13.82 | (171) op2(e20, e20) = all_14_15
% 91.42/13.82 | (172) op2(e20, e21) = all_14_11
% 91.42/13.82 | (173) op2(e20, e22) = all_14_7
% 91.42/13.82 | (174) op2(e20, e23) = all_14_3
% 91.42/13.82 | (175) op2(e21, e20) = all_14_14
% 91.42/13.82 | (176) op2(e21, e21) = all_14_10
% 91.42/13.82 | (177) op2(e21, e22) = all_14_6
% 91.42/13.82 | (178) op2(e21, e23) = all_14_2
% 91.42/13.82 | (179) op2(e22, e20) = all_14_13
% 91.42/13.82 | (180) op2(e22, e21) = all_14_9
% 91.42/13.82 | (181) op2(e22, e22) = all_14_5
% 91.42/13.82 | (182) op2(e22, e23) = all_14_1
% 91.42/13.82 | (183) op2(e23, e20) = all_14_12
% 91.42/13.82 | (184) op2(e23, e21) = all_14_8
% 91.42/13.82 | (185) op2(e23, e22) = all_14_4
% 91.42/13.82 | (186) op2(e23, e23) = all_14_0
% 91.42/13.82 |
% 91.42/13.82 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2,
% 91.42/13.82 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 91.42/13.82 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives:
% 91.42/13.83 | (187) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) =
% 91.42/13.83 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 &
% 91.42/13.83 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) =
% 91.42/13.83 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 &
% 91.42/13.83 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13)
% 91.42/13.83 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 &
% 91.42/13.83 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) &
% 91.42/13.83 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) &
% 91.42/13.83 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) &
% 91.42/13.83 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) &
% 91.42/13.83 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 |
% 91.42/13.83 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12
% 91.42/13.83 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 =
% 91.42/13.83 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3
% 91.42/13.83 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 |
% 91.42/13.83 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13
% 91.42/13.83 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 =
% 91.42/13.83 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7
% 91.42/13.83 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) &
% 91.42/13.83 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) &
% 91.42/13.83 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) &
% 91.42/13.83 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 91.42/13.83 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 |
% 91.42/13.83 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 =
% 91.42/13.83 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 |
% 91.42/13.83 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 =
% 91.42/13.83 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 |
% 91.42/13.83 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10)
% 91.42/13.83 |
% 91.42/13.83 | ALPHA: (187) implies:
% 91.42/13.83 | (188) op1(e10, e10) = all_16_15
% 91.42/13.83 | (189) op1(e10, e11) = all_16_14
% 91.42/13.83 | (190) op1(e10, e12) = all_16_13
% 91.42/13.83 | (191) op1(e10, e13) = all_16_12
% 91.42/13.83 | (192) op1(e11, e10) = all_16_11
% 91.42/13.83 | (193) op1(e11, e11) = all_16_10
% 91.42/13.83 | (194) op1(e11, e12) = all_16_9
% 91.42/13.83 | (195) op1(e11, e13) = all_16_8
% 91.42/13.83 | (196) op1(e12, e10) = all_16_7
% 91.42/13.83 | (197) op1(e12, e11) = all_16_6
% 91.42/13.83 | (198) op1(e12, e12) = all_16_5
% 91.42/13.83 | (199) op1(e12, e13) = all_16_4
% 91.42/13.83 | (200) op1(e13, e10) = all_16_3
% 91.42/13.83 | (201) op1(e13, e11) = all_16_2
% 91.42/13.83 | (202) op1(e13, e12) = all_16_1
% 91.42/13.83 | (203) op1(e13, e13) = all_16_0
% 91.42/13.83 | (204) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 91.42/13.83 | (205) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 91.42/13.84 | (206) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 91.42/13.84 | (207) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10
% 91.42/13.84 | (208) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 91.42/13.84 | (209) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 91.42/13.84 | (210) all_16_7 = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 91.42/13.84 | (211) all_16_6 = e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10
% 91.42/13.84 | (212) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 91.42/13.84 | (213) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10
% 91.42/13.84 | (214) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 91.42/13.84 | (215) all_16_0 = e13 | all_16_0 = e12 | all_16_0 = e11 | all_16_0 = e10
% 91.42/13.84 |
% 91.42/13.84 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2,
% 91.42/13.84 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 91.42/13.84 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives:
% 91.42/13.84 | (216) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) =
% 91.42/13.84 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 &
% 91.42/13.84 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) =
% 91.42/13.84 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 &
% 91.42/13.84 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23)
% 91.42/13.84 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 &
% 91.42/13.84 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) &
% 91.42/13.84 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) &
% 91.42/13.84 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) &
% 91.42/13.84 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) &
% 91.42/13.84 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 |
% 91.42/13.84 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22
% 91.42/13.84 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 =
% 91.42/13.84 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3
% 91.42/13.84 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 |
% 91.42/13.84 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23
% 91.42/13.84 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 =
% 91.42/13.84 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7
% 91.42/13.84 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) &
% 91.42/13.84 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) &
% 91.42/13.84 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) &
% 91.42/13.84 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 91.42/13.84 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 |
% 91.42/13.84 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 =
% 91.42/13.84 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 |
% 91.42/13.84 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 =
% 91.42/13.84 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 |
% 91.42/13.84 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20)
% 91.42/13.84 |
% 91.42/13.84 | ALPHA: (216) implies:
% 91.42/13.84 | (217) op2(e20, e20) = all_18_15
% 91.42/13.84 | (218) op2(e20, e21) = all_18_14
% 91.42/13.84 | (219) op2(e20, e22) = all_18_13
% 91.42/13.84 | (220) op2(e20, e23) = all_18_12
% 91.42/13.84 | (221) op2(e21, e20) = all_18_11
% 91.42/13.84 | (222) op2(e21, e21) = all_18_10
% 91.42/13.84 | (223) op2(e21, e22) = all_18_9
% 91.42/13.84 | (224) op2(e21, e23) = all_18_8
% 91.42/13.84 | (225) op2(e22, e20) = all_18_7
% 91.42/13.84 | (226) op2(e22, e21) = all_18_6
% 91.42/13.84 | (227) op2(e22, e22) = all_18_5
% 91.42/13.84 | (228) op2(e22, e23) = all_18_4
% 91.42/13.84 | (229) op2(e23, e20) = all_18_3
% 91.42/13.84 | (230) op2(e23, e21) = all_18_2
% 91.42/13.84 | (231) op2(e23, e22) = all_18_1
% 91.42/13.84 | (232) op2(e23, e23) = all_18_0
% 91.42/13.85 | (233) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 91.42/13.85 | (234) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 91.42/13.85 | (235) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 91.42/13.85 | (236) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 91.42/13.85 | (237) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 91.42/13.85 | (238) all_18_7 = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 91.42/13.85 | (239) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 91.42/13.85 | (240) all_18_5 = e23 | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 91.42/13.85 | (241) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 91.42/13.85 | (242) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 91.42/13.85 | (243) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 91.42/13.85 | (244) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 | all_18_0 = e20
% 91.42/13.85 |
% 91.42/13.85 | DELTA: instantiating (4) with fresh symbols all_20_0, all_20_1, all_20_2,
% 91.42/13.85 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 91.42/13.85 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives:
% 91.42/13.85 | (245) op2(e23, e23) = all_20_0 & op2(e23, e22) = all_20_1 & op2(e23, e21) =
% 91.42/13.85 | all_20_4 & op2(e23, e20) = all_20_9 & op2(e22, e23) = all_20_2 &
% 91.42/13.85 | op2(e22, e22) = all_20_3 & op2(e22, e21) = all_20_5 & op2(e22, e20) =
% 91.42/13.86 | all_20_10 & op2(e21, e23) = all_20_6 & op2(e21, e22) = all_20_7 &
% 91.42/13.86 | op2(e21, e21) = all_20_8 & op2(e21, e20) = all_20_11 & op2(e20, e23)
% 91.42/13.86 | = all_20_12 & op2(e20, e22) = all_20_13 & op2(e20, e21) = all_20_14 &
% 91.42/13.86 | op2(e20, e20) = all_20_15 & $i(all_20_0) & $i(all_20_1) &
% 91.42/13.86 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) &
% 91.42/13.86 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) &
% 91.42/13.86 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) &
% 91.42/13.86 | $i(all_20_14) & $i(all_20_15) & (all_20_0 = e23 | all_20_1 = e23 |
% 91.42/13.86 | all_20_4 = e23 | all_20_9 = e23) & (all_20_0 = e23 | all_20_2 = e23
% 91.42/13.86 | | all_20_6 = e23 | all_20_12 = e23) & (all_20_0 = e22 | all_20_1 =
% 91.42/13.86 | e22 | all_20_4 = e22 | all_20_9 = e22) & (all_20_0 = e22 | all_20_2
% 91.42/13.86 | = e22 | all_20_6 = e22 | all_20_12 = e22) & (all_20_0 = e21 |
% 91.42/13.86 | all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21) & (all_20_0 = e21
% 91.42/13.86 | | all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21) & (all_20_0 =
% 91.42/13.86 | e20 | all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20) & (all_20_0
% 91.42/13.86 | = e20 | all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20) &
% 91.42/13.86 | (all_20_1 = e23 | all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23)
% 91.42/13.86 | & (all_20_1 = e22 | all_20_3 = e22 | all_20_7 = e22 | all_20_13 =
% 91.42/13.86 | e22) & (all_20_1 = e21 | all_20_3 = e21 | all_20_7 = e21 |
% 91.42/13.86 | all_20_13 = e21) & (all_20_1 = e20 | all_20_3 = e20 | all_20_7 =
% 91.42/13.86 | e20 | all_20_13 = e20) & (all_20_2 = e23 | all_20_3 = e23 |
% 91.42/13.86 | all_20_5 = e23 | all_20_10 = e23) & (all_20_2 = e22 | all_20_3 =
% 91.42/13.86 | e22 | all_20_5 = e22 | all_20_10 = e22) & (all_20_2 = e21 |
% 91.42/13.86 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21) & (all_20_2 =
% 91.42/13.86 | e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20) &
% 91.42/13.86 | (all_20_4 = e23 | all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23)
% 91.42/13.86 | & (all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 =
% 91.42/13.86 | e22) & (all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 |
% 91.42/13.86 | all_20_14 = e21) & (all_20_4 = e20 | all_20_5 = e20 | all_20_8 =
% 91.42/13.86 | e20 | all_20_14 = e20) & (all_20_6 = e23 | all_20_7 = e23 |
% 91.42/13.86 | all_20_8 = e23 | all_20_11 = e23) & (all_20_6 = e22 | all_20_7 =
% 91.42/13.86 | e22 | all_20_8 = e22 | all_20_11 = e22) & (all_20_6 = e21 |
% 91.42/13.86 | all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21) & (all_20_6 =
% 91.42/13.86 | e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20) &
% 91.42/13.86 | (all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 =
% 91.42/13.86 | e23) & (all_20_9 = e22 | all_20_10 = e22 | all_20_11 = e22 |
% 91.42/13.86 | all_20_15 = e22) & (all_20_9 = e21 | all_20_10 = e21 | all_20_11 =
% 91.42/13.86 | e21 | all_20_15 = e21) & (all_20_12 = e23 | all_20_13 = e23 |
% 91.42/13.86 | all_20_14 = e23 | all_20_15 = e23) & (all_20_12 = e22 | all_20_13 =
% 91.42/13.86 | e22 | all_20_14 = e22 | all_20_15 = e22) & (all_20_12 = e21 |
% 91.42/13.86 | all_20_13 = e21 | all_20_14 = e21 | all_20_15 = e21) & (all_20_15 =
% 91.42/13.86 | e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 = e20) &
% 91.42/13.86 | (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20)))
% 91.42/13.86 |
% 91.42/13.86 | ALPHA: (245) implies:
% 91.42/13.86 | (246) op2(e20, e20) = all_20_15
% 91.42/13.86 | (247) op2(e20, e21) = all_20_14
% 91.42/13.86 | (248) op2(e20, e22) = all_20_13
% 91.42/13.86 | (249) op2(e20, e23) = all_20_12
% 91.42/13.86 | (250) op2(e21, e20) = all_20_11
% 91.42/13.86 | (251) op2(e21, e21) = all_20_8
% 91.42/13.86 | (252) op2(e21, e22) = all_20_7
% 91.42/13.86 | (253) op2(e21, e23) = all_20_6
% 91.42/13.86 | (254) op2(e22, e20) = all_20_10
% 91.42/13.86 | (255) op2(e22, e21) = all_20_5
% 91.42/13.86 | (256) op2(e22, e22) = all_20_3
% 91.42/13.86 | (257) op2(e22, e23) = all_20_2
% 91.42/13.86 | (258) op2(e23, e20) = all_20_9
% 91.42/13.86 | (259) op2(e23, e21) = all_20_4
% 91.42/13.86 | (260) op2(e23, e22) = all_20_1
% 91.42/13.86 | (261) op2(e23, e23) = all_20_0
% 91.42/13.86 | (262) all_20_15 = e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 =
% 91.42/13.86 | e20) & (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20))
% 91.42/13.86 | (263) all_20_12 = e22 | all_20_13 = e22 | all_20_14 = e22 | all_20_15 = e22
% 91.42/13.86 | (264) all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 = e23
% 91.42/13.86 | (265) all_20_6 = e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20
% 91.42/13.86 | (266) all_20_6 = e21 | all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21
% 91.42/13.86 | (267) all_20_6 = e22 | all_20_7 = e22 | all_20_8 = e22 | all_20_11 = e22
% 91.42/13.86 | (268) all_20_6 = e23 | all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23
% 91.42/13.86 | (269) all_20_4 = e20 | all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20
% 91.42/13.86 | (270) all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21
% 91.42/13.86 | (271) all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22
% 91.42/13.87 | (272) all_20_2 = e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20
% 91.42/13.87 | (273) all_20_2 = e21 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21
% 91.42/13.87 | (274) all_20_2 = e22 | all_20_3 = e22 | all_20_5 = e22 | all_20_10 = e22
% 91.42/13.87 | (275) all_20_2 = e23 | all_20_3 = e23 | all_20_5 = e23 | all_20_10 = e23
% 91.42/13.87 | (276) all_20_1 = e20 | all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20
% 91.42/13.87 | (277) all_20_1 = e21 | all_20_3 = e21 | all_20_7 = e21 | all_20_13 = e21
% 91.42/13.87 | (278) all_20_1 = e22 | all_20_3 = e22 | all_20_7 = e22 | all_20_13 = e22
% 91.42/13.87 | (279) all_20_1 = e23 | all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23
% 91.42/13.87 | (280) all_20_0 = e20 | all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20
% 91.42/13.87 | (281) all_20_0 = e20 | all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20
% 91.42/13.87 | (282) all_20_0 = e21 | all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21
% 91.42/13.87 | (283) all_20_0 = e21 | all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21
% 91.42/13.87 | (284) all_20_0 = e22 | all_20_2 = e22 | all_20_6 = e22 | all_20_12 = e22
% 91.42/13.87 | (285) all_20_0 = e23 | all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23
% 91.42/13.87 | (286) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 91.42/13.87 |
% 91.42/13.87 | DELTA: instantiating (2) with fresh symbols all_22_0, all_22_1, all_22_2,
% 91.42/13.87 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 91.42/13.87 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives:
% 91.42/13.88 | (287) op1(e13, e13) = all_22_0 & op1(e13, e12) = all_22_1 & op1(e13, e11) =
% 91.42/13.88 | all_22_4 & op1(e13, e10) = all_22_9 & op1(e12, e13) = all_22_2 &
% 91.42/13.88 | op1(e12, e12) = all_22_3 & op1(e12, e11) = all_22_5 & op1(e12, e10) =
% 91.42/13.88 | all_22_10 & op1(e11, e13) = all_22_6 & op1(e11, e12) = all_22_7 &
% 91.42/13.88 | op1(e11, e11) = all_22_8 & op1(e11, e10) = all_22_11 & op1(e10, e13)
% 91.42/13.88 | = all_22_12 & op1(e10, e12) = all_22_13 & op1(e10, e11) = all_22_14 &
% 91.42/13.88 | op1(e10, e10) = all_22_15 & $i(all_22_0) & $i(all_22_1) &
% 91.42/13.88 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 91.42/13.88 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) &
% 91.42/13.88 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) &
% 91.42/13.88 | $i(all_22_14) & $i(all_22_15) & (all_22_0 = e13 | all_22_1 = e13 |
% 91.42/13.88 | all_22_4 = e13 | all_22_9 = e13) & (all_22_0 = e13 | all_22_2 = e13
% 91.42/13.88 | | all_22_6 = e13 | all_22_12 = e13) & (all_22_0 = e12 | all_22_1 =
% 91.42/13.88 | e12 | all_22_4 = e12 | all_22_9 = e12) & (all_22_0 = e12 | all_22_2
% 91.42/13.88 | = e12 | all_22_6 = e12 | all_22_12 = e12) & (all_22_0 = e11 |
% 91.42/13.88 | all_22_1 = e11 | all_22_4 = e11 | all_22_9 = e11) & (all_22_0 = e11
% 91.42/13.88 | | all_22_2 = e11 | all_22_6 = e11 | all_22_12 = e11) & (all_22_0 =
% 91.42/13.88 | e10 | all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10) & (all_22_0
% 91.42/13.88 | = e10 | all_22_2 = e10 | all_22_6 = e10 | all_22_12 = e10) &
% 91.42/13.88 | (all_22_1 = e13 | all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13)
% 91.42/13.88 | & (all_22_1 = e12 | all_22_3 = e12 | all_22_7 = e12 | all_22_13 =
% 91.42/13.88 | e12) & (all_22_1 = e11 | all_22_3 = e11 | all_22_7 = e11 |
% 91.42/13.88 | all_22_13 = e11) & (all_22_1 = e10 | all_22_3 = e10 | all_22_7 =
% 91.42/13.88 | e10 | all_22_13 = e10) & (all_22_2 = e13 | all_22_3 = e13 |
% 91.42/13.88 | all_22_5 = e13 | all_22_10 = e13) & (all_22_2 = e12 | all_22_3 =
% 91.42/13.88 | e12 | all_22_5 = e12 | all_22_10 = e12) & (all_22_2 = e11 |
% 91.42/13.88 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11) & (all_22_2 =
% 91.42/13.88 | e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10) &
% 91.42/13.88 | (all_22_4 = e13 | all_22_5 = e13 | all_22_8 = e13 | all_22_14 = e13)
% 91.42/13.88 | & (all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 =
% 91.42/13.88 | e12) & (all_22_4 = e11 | all_22_5 = e11 | all_22_8 = e11 |
% 91.42/13.88 | all_22_14 = e11) & (all_22_4 = e10 | all_22_5 = e10 | all_22_8 =
% 91.42/13.88 | e10 | all_22_14 = e10) & (all_22_6 = e13 | all_22_7 = e13 |
% 91.42/13.88 | all_22_8 = e13 | all_22_11 = e13) & (all_22_6 = e12 | all_22_7 =
% 91.42/13.88 | e12 | all_22_8 = e12 | all_22_11 = e12) & (all_22_6 = e11 |
% 91.42/13.88 | all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11) & (all_22_6 =
% 91.42/13.88 | e10 | all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10) &
% 91.42/13.88 | (all_22_9 = e13 | all_22_10 = e13 | all_22_11 = e13 | all_22_15 =
% 91.42/13.88 | e13) & (all_22_9 = e12 | all_22_10 = e12 | all_22_11 = e12 |
% 91.42/13.88 | all_22_15 = e12) & (all_22_9 = e11 | all_22_10 = e11 | all_22_11 =
% 91.42/13.88 | e11 | all_22_15 = e11) & (all_22_12 = e13 | all_22_13 = e13 |
% 91.42/13.88 | all_22_14 = e13 | all_22_15 = e13) & (all_22_12 = e12 | all_22_13 =
% 91.42/13.88 | e12 | all_22_14 = e12 | all_22_15 = e12) & (all_22_12 = e11 |
% 91.42/13.88 | all_22_13 = e11 | all_22_14 = e11 | all_22_15 = e11) & (all_22_15 =
% 91.42/13.88 | e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10) &
% 91.42/13.88 | (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10)))
% 91.42/13.88 |
% 91.42/13.88 | ALPHA: (287) implies:
% 91.42/13.88 | (288) op1(e10, e10) = all_22_15
% 91.42/13.88 | (289) op1(e10, e11) = all_22_14
% 91.42/13.88 | (290) op1(e10, e12) = all_22_13
% 91.42/13.88 | (291) op1(e10, e13) = all_22_12
% 91.42/13.88 | (292) op1(e11, e10) = all_22_11
% 91.42/13.88 | (293) op1(e11, e11) = all_22_8
% 91.42/13.88 | (294) op1(e11, e12) = all_22_7
% 91.42/13.88 | (295) op1(e11, e13) = all_22_6
% 91.42/13.88 | (296) op1(e12, e10) = all_22_10
% 91.42/13.88 | (297) op1(e12, e11) = all_22_5
% 91.42/13.88 | (298) op1(e12, e12) = all_22_3
% 91.42/13.88 | (299) op1(e12, e13) = all_22_2
% 91.42/13.88 | (300) op1(e13, e10) = all_22_9
% 91.42/13.88 | (301) op1(e13, e11) = all_22_4
% 91.42/13.88 | (302) op1(e13, e12) = all_22_1
% 91.42/13.88 | (303) op1(e13, e13) = all_22_0
% 91.42/13.88 | (304) all_22_15 = e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 =
% 91.42/13.88 | e10) & (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10))
% 91.42/13.88 | (305) all_22_12 = e12 | all_22_13 = e12 | all_22_14 = e12 | all_22_15 = e12
% 91.42/13.88 | (306) all_22_6 = e10 | all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10
% 91.42/13.88 | (307) all_22_6 = e11 | all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11
% 91.42/13.88 | (308) all_22_6 = e12 | all_22_7 = e12 | all_22_8 = e12 | all_22_11 = e12
% 91.42/13.88 | (309) all_22_6 = e13 | all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13
% 91.42/13.88 | (310) all_22_4 = e10 | all_22_5 = e10 | all_22_8 = e10 | all_22_14 = e10
% 91.42/13.89 | (311) all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 91.42/13.89 | (312) all_22_2 = e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10
% 91.42/13.89 | (313) all_22_2 = e11 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 91.42/13.89 | (314) all_22_2 = e12 | all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 91.42/13.89 | (315) all_22_2 = e13 | all_22_3 = e13 | all_22_5 = e13 | all_22_10 = e13
% 91.42/13.89 | (316) all_22_1 = e11 | all_22_3 = e11 | all_22_7 = e11 | all_22_13 = e11
% 91.42/13.89 | (317) all_22_1 = e12 | all_22_3 = e12 | all_22_7 = e12 | all_22_13 = e12
% 91.42/13.89 | (318) all_22_1 = e13 | all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13
% 91.42/13.89 | (319) all_22_0 = e10 | all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10
% 91.42/13.89 | (320) all_22_0 = e11 | all_22_2 = e11 | all_22_6 = e11 | all_22_12 = e11
% 91.42/13.89 | (321) all_22_0 = e11 | all_22_1 = e11 | all_22_4 = e11 | all_22_9 = e11
% 91.42/13.89 | (322) all_22_0 = e12 | all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 91.42/13.89 | (323) all_22_0 = e13 | all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 91.42/13.89 |
% 91.42/13.89 | DELTA: instantiating (12) with fresh symbols all_24_0, all_24_1, all_24_2,
% 91.42/13.89 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 91.42/13.89 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15,
% 91.42/13.89 | all_24_16, all_24_17, all_24_18, all_24_19, all_24_20, all_24_21,
% 91.42/13.89 | all_24_22, all_24_23, all_24_24, all_24_25, all_24_26, all_24_27,
% 91.42/13.89 | all_24_28, all_24_29, all_24_30, all_24_31 gives:
% 91.42/13.90 | (324) op2(e23, all_24_16) = all_24_0 & op2(e23, all_24_17) = all_24_4 &
% 91.42/13.90 | op2(e23, all_24_20) = all_24_8 & op2(e23, all_24_25) = all_24_12 &
% 91.42/13.90 | op2(e23, e23) = all_24_16 & op2(e23, e22) = all_24_18 & op2(e23, e21)
% 91.42/13.90 | = all_24_22 & op2(e23, e20) = all_24_28 & op2(e22, all_24_18) =
% 91.42/13.90 | all_24_1 & op2(e22, all_24_19) = all_24_5 & op2(e22, all_24_21) =
% 91.42/13.90 | all_24_9 & op2(e22, all_24_26) = all_24_13 & op2(e22, e23) =
% 91.42/13.90 | all_24_17 & op2(e22, e22) = all_24_19 & op2(e22, e21) = all_24_23 &
% 91.42/13.90 | op2(e22, e20) = all_24_29 & op2(e21, all_24_22) = all_24_2 & op2(e21,
% 91.42/13.90 | all_24_23) = all_24_6 & op2(e21, all_24_24) = all_24_10 & op2(e21,
% 91.42/13.90 | all_24_27) = all_24_14 & op2(e21, e23) = all_24_20 & op2(e21, e22)
% 91.42/13.90 | = all_24_21 & op2(e21, e21) = all_24_24 & op2(e21, e20) = all_24_30 &
% 91.42/13.90 | op2(e20, all_24_28) = all_24_3 & op2(e20, all_24_29) = all_24_7 &
% 91.42/13.90 | op2(e20, all_24_30) = all_24_11 & op2(e20, all_24_31) = all_24_15 &
% 91.42/13.90 | op2(e20, e23) = all_24_25 & op2(e20, e22) = all_24_26 & op2(e20, e21)
% 91.42/13.90 | = all_24_27 & op2(e20, e20) = all_24_31 & $i(all_24_0) & $i(all_24_1)
% 91.42/13.90 | & $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) &
% 91.42/13.90 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) &
% 91.42/13.90 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) &
% 91.42/13.90 | $i(all_24_14) & $i(all_24_15) & $i(all_24_16) & $i(all_24_17) &
% 91.42/13.90 | $i(all_24_18) & $i(all_24_19) & $i(all_24_20) & $i(all_24_21) &
% 91.42/13.90 | $i(all_24_22) & $i(all_24_23) & $i(all_24_24) & $i(all_24_25) &
% 91.42/13.90 | $i(all_24_26) & $i(all_24_27) & $i(all_24_28) & $i(all_24_29) &
% 91.42/13.90 | $i(all_24_30) & $i(all_24_31) & ((all_24_1 = e22 & all_24_17 =
% 91.42/13.90 | all_24_18 & ~ (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 91.42/13.90 | all_24_20 = all_24_22 & ~ (all_24_22 = all_24_24)) | (all_24_3 =
% 91.42/13.90 | e20 & all_24_25 = all_24_28 & ~ (all_24_28 = all_24_31)) |
% 91.42/13.90 | (all_24_4 = e23 & all_24_17 = all_24_18 & ~ (all_24_16 =
% 91.42/13.90 | all_24_18)) | (all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 91.42/13.90 | (all_24_23 = all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 91.42/13.90 | all_24_29 & ~ (all_24_29 = all_24_31)) | (all_24_8 = e23 &
% 91.42/13.90 | all_24_20 = all_24_22 & ~ (all_24_16 = all_24_22)) | (all_24_9 =
% 91.42/13.90 | e22 & all_24_21 = all_24_23 & ~ (all_24_19 = all_24_23)) |
% 91.42/13.90 | (all_24_11 = e20 & all_24_27 = all_24_30 & ~ (all_24_30 =
% 91.42/13.90 | all_24_31)) | (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 91.42/13.90 | (all_24_16 = all_24_28)) | (all_24_13 = e22 & all_24_26 =
% 91.42/13.90 | all_24_29 & ~ (all_24_19 = all_24_29)) | (all_24_14 = e21 &
% 91.42/13.90 | all_24_27 = all_24_30 & ~ (all_24_24 = all_24_30))) &
% 91.42/13.90 | ((all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~ (all_24_18 = e23)) & (
% 91.42/13.90 | ~ (all_24_17 = e22) | ~ (all_24_18 = e22)) & ( ~ (all_24_17 =
% 91.42/13.90 | e21) | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20) | ~
% 91.42/13.90 | (all_24_18 = e20))) | (all_24_16 = e21 & ( ~ (all_24_20 = e23)
% 91.42/13.90 | | ~ (all_24_22 = e23)) & ( ~ (all_24_20 = e22) | ~ (all_24_22
% 91.42/13.90 | = e22)) & ( ~ (all_24_20 = e21) | ~ (all_24_22 = e21)) & ( ~
% 91.42/13.90 | (all_24_20 = e20) | ~ (all_24_22 = e20))) | (all_24_16 = e20 &
% 91.42/13.90 | ( ~ (all_24_25 = e23) | ~ (all_24_28 = e23)) & ( ~ (all_24_25 =
% 91.42/13.90 | e22) | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) | ~
% 91.42/13.90 | (all_24_28 = e21)) & ( ~ (all_24_25 = e20) | ~ (all_24_28 =
% 91.42/13.90 | e20))) | (all_24_19 = e23 & ( ~ (all_24_17 = e23) | ~
% 91.42/13.90 | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) | ~ (all_24_18 =
% 91.42/13.90 | e22)) & ( ~ (all_24_17 = e21) | ~ (all_24_18 = e21)) & ( ~
% 91.42/13.90 | (all_24_17 = e20) | ~ (all_24_18 = e20))) | (all_24_19 = e21 &
% 91.42/13.90 | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) & ( ~ (all_24_21 =
% 91.42/13.90 | e22) | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) | ~
% 91.42/13.90 | (all_24_23 = e21)) & ( ~ (all_24_21 = e20) | ~ (all_24_23 =
% 91.42/13.90 | e20))) | (all_24_19 = e20 & ( ~ (all_24_26 = e23) | ~
% 91.42/13.90 | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) | ~ (all_24_29 =
% 91.42/13.90 | e22)) & ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) & ( ~
% 91.42/13.90 | (all_24_26 = e20) | ~ (all_24_29 = e20))) | (all_24_24 = e23 &
% 91.42/13.90 | ( ~ (all_24_20 = e23) | ~ (all_24_22 = e23)) & ( ~ (all_24_20 =
% 91.42/13.90 | e22) | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) | ~
% 91.42/13.90 | (all_24_22 = e21)) & ( ~ (all_24_20 = e20) | ~ (all_24_22 =
% 91.42/13.90 | e20))) | (all_24_24 = e22 & ( ~ (all_24_21 = e23) | ~
% 91.42/13.90 | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) | ~ (all_24_23 =
% 91.42/13.90 | e22)) & ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) & ( ~
% 91.42/13.90 | (all_24_21 = e20) | ~ (all_24_23 = e20))) | (all_24_24 = e20 &
% 91.42/13.90 | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) & ( ~ (all_24_27 =
% 91.42/13.90 | e22) | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) | ~
% 91.42/13.90 | (all_24_30 = e21)) & ( ~ (all_24_27 = e20) | ~ (all_24_30 =
% 91.42/13.90 | e20))) | (all_24_31 = e23 & ( ~ (all_24_25 = e23) | ~
% 91.42/13.90 | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) | ~ (all_24_28 =
% 91.42/13.90 | e22)) & ( ~ (all_24_25 = e21) | ~ (all_24_28 = e21)) & ( ~
% 91.42/13.90 | (all_24_25 = e20) | ~ (all_24_28 = e20))) | (all_24_31 = e22 &
% 91.42/13.90 | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) & ( ~ (all_24_26 =
% 91.42/13.90 | e22) | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) | ~
% 91.42/13.90 | (all_24_29 = e21)) & ( ~ (all_24_26 = e20) | ~ (all_24_29 =
% 91.42/13.90 | e20))) | (all_24_31 = e21 & ( ~ (all_24_27 = e23) | ~
% 91.42/13.90 | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) | ~ (all_24_30 =
% 91.42/13.90 | e22)) & ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) & ( ~
% 91.42/13.90 | (all_24_27 = e20) | ~ (all_24_30 = e20)))) & ((all_24_17 = e23
% 91.42/13.90 | & all_24_18 = e23 & ~ (all_24_16 = e23) & ~ (all_24_20 = e21) &
% 91.42/13.90 | ~ (all_24_25 = e20) & ~ (e23 = e22)) | (all_24_17 = e22 &
% 91.42/13.90 | all_24_18 = e22 & ~ (all_24_19 = e22) & ~ (all_24_21 = e21) &
% 91.42/13.90 | ~ (all_24_26 = e20) & ~ (e23 = e22)) | (all_24_20 = e23 &
% 91.42/13.90 | all_24_22 = e23 & ~ (all_24_16 = e23) & ~ (all_24_17 = e22) &
% 91.42/13.90 | ~ (all_24_25 = e20) & ~ (e23 = e21)) | (all_24_20 = e21 &
% 91.42/13.90 | all_24_22 = e21 & ~ (all_24_23 = e22) & ~ (all_24_24 = e21) &
% 91.42/13.90 | ~ (all_24_27 = e20) & ~ (e23 = e21)) | (all_24_21 = e22 &
% 91.42/13.90 | all_24_23 = e22 & ~ (all_24_18 = e23) & ~ (all_24_19 = e22) &
% 91.42/13.90 | ~ (all_24_26 = e20) & ~ (e22 = e21)) | (all_24_21 = e21 &
% 91.42/13.90 | all_24_23 = e21 & ~ (all_24_22 = e23) & ~ (all_24_24 = e21) &
% 91.42/13.90 | ~ (all_24_27 = e20) & ~ (e22 = e21)) | (all_24_25 = e23 &
% 91.42/13.90 | all_24_28 = e23 & ~ (all_24_16 = e23) & ~ (all_24_17 = e22) &
% 91.42/13.90 | ~ (all_24_20 = e21) & ~ (e23 = e20)) | (all_24_26 = e22 &
% 91.42/13.90 | all_24_29 = e22 & ~ (all_24_18 = e23) & ~ (all_24_19 = e22) &
% 91.42/13.90 | ~ (all_24_21 = e21) & ~ (e22 = e20)) | (all_24_27 = e21 &
% 91.42/13.90 | all_24_30 = e21 & ~ (all_24_22 = e23) & ~ (all_24_23 = e22) &
% 91.42/13.90 | ~ (all_24_24 = e21) & ~ (e21 = e20)) | ( ~ (all_24_28 = e23) &
% 91.42/13.90 | ~ (all_24_29 = e22) & ~ (all_24_30 = e21) & ~ (all_24_31 = e20)
% 91.42/13.90 | & ((all_24_25 = e20 & all_24_28 = e20) | (all_24_26 = e20 &
% 91.42/13.90 | all_24_29 = e20) | (all_24_27 = e20 & all_24_30 = e20))))
% 91.42/13.90 |
% 91.42/13.90 | ALPHA: (324) implies:
% 91.42/13.90 | (325) op2(e20, e20) = all_24_31
% 91.42/13.90 | (326) op2(e20, e21) = all_24_27
% 91.42/13.90 | (327) op2(e20, e22) = all_24_26
% 91.42/13.90 | (328) op2(e20, e23) = all_24_25
% 91.42/13.90 | (329) op2(e20, all_24_31) = all_24_15
% 91.42/13.90 | (330) op2(e20, all_24_30) = all_24_11
% 91.42/13.90 | (331) op2(e20, all_24_29) = all_24_7
% 91.42/13.90 | (332) op2(e20, all_24_28) = all_24_3
% 91.42/13.90 | (333) op2(e21, e20) = all_24_30
% 91.42/13.90 | (334) op2(e21, e21) = all_24_24
% 91.42/13.90 | (335) op2(e21, e22) = all_24_21
% 91.42/13.90 | (336) op2(e21, e23) = all_24_20
% 91.42/13.90 | (337) op2(e21, all_24_27) = all_24_14
% 91.42/13.90 | (338) op2(e21, all_24_24) = all_24_10
% 91.42/13.90 | (339) op2(e21, all_24_23) = all_24_6
% 91.42/13.90 | (340) op2(e21, all_24_22) = all_24_2
% 91.42/13.90 | (341) op2(e22, e20) = all_24_29
% 91.42/13.90 | (342) op2(e22, e21) = all_24_23
% 91.42/13.90 | (343) op2(e22, e22) = all_24_19
% 91.42/13.90 | (344) op2(e22, e23) = all_24_17
% 91.42/13.90 | (345) op2(e22, all_24_26) = all_24_13
% 91.42/13.90 | (346) op2(e22, all_24_21) = all_24_9
% 91.42/13.91 | (347) op2(e22, all_24_19) = all_24_5
% 91.42/13.91 | (348) op2(e22, all_24_18) = all_24_1
% 91.42/13.91 | (349) op2(e23, e20) = all_24_28
% 91.42/13.91 | (350) op2(e23, e21) = all_24_22
% 91.42/13.91 | (351) op2(e23, e22) = all_24_18
% 91.42/13.91 | (352) op2(e23, e23) = all_24_16
% 91.42/13.91 | (353) op2(e23, all_24_25) = all_24_12
% 91.42/13.91 | (354) op2(e23, all_24_20) = all_24_8
% 91.42/13.91 | (355) op2(e23, all_24_17) = all_24_4
% 91.42/13.91 | (356) op2(e23, all_24_16) = all_24_0
% 91.42/13.91 | (357) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 91.42/13.91 | (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)) |
% 91.42/13.91 | (all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 91.42/13.91 | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)) |
% 91.42/13.91 | (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 91.42/13.91 | (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)) |
% 91.42/13.91 | (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 91.42/13.91 | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 91.42/13.91 | (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 91.42/13.91 | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21)) |
% 91.42/13.91 | (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 91.42/13.91 | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)) |
% 91.42/13.91 | (all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 91.42/13.91 | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)) |
% 91.42/13.91 | (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 91.42/13.91 | (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)) |
% 91.42/13.91 | (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 91.42/13.91 | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 91.42/13.91 | (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) &
% 91.42/13.91 | ~ (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28 = e20) |
% 91.42/13.91 | (all_24_26 = e20 & all_24_29 = e20) | (all_24_27 = e20 &
% 91.42/13.91 | all_24_30 = e20)))
% 91.42/13.92 | (358) (all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~ (all_24_18 = e23)) & (
% 91.42/13.92 | ~ (all_24_17 = e22) | ~ (all_24_18 = e22)) & ( ~ (all_24_17 =
% 91.42/13.92 | e21) | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20) | ~
% 91.42/13.92 | (all_24_18 = e20))) | (all_24_16 = e21 & ( ~ (all_24_20 = e23) |
% 91.42/13.92 | ~ (all_24_22 = e23)) & ( ~ (all_24_20 = e22) | ~ (all_24_22 =
% 91.42/13.92 | e22)) & ( ~ (all_24_20 = e21) | ~ (all_24_22 = e21)) & ( ~
% 91.42/13.92 | (all_24_20 = e20) | ~ (all_24_22 = e20))) | (all_24_16 = e20 & (
% 91.42/13.92 | ~ (all_24_25 = e23) | ~ (all_24_28 = e23)) & ( ~ (all_24_25 =
% 91.42/13.92 | e22) | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) | ~
% 91.42/13.92 | (all_24_28 = e21)) & ( ~ (all_24_25 = e20) | ~ (all_24_28 =
% 91.42/13.92 | e20))) | (all_24_19 = e23 & ( ~ (all_24_17 = e23) | ~
% 91.42/13.92 | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) | ~ (all_24_18 =
% 91.42/13.92 | e22)) & ( ~ (all_24_17 = e21) | ~ (all_24_18 = e21)) & ( ~
% 91.42/13.92 | (all_24_17 = e20) | ~ (all_24_18 = e20))) | (all_24_19 = e21 & (
% 91.42/13.92 | ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) & ( ~ (all_24_21 =
% 91.42/13.92 | e22) | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) | ~
% 91.42/13.92 | (all_24_23 = e21)) & ( ~ (all_24_21 = e20) | ~ (all_24_23 =
% 91.42/13.92 | e20))) | (all_24_19 = e20 & ( ~ (all_24_26 = e23) | ~
% 91.42/13.92 | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) | ~ (all_24_29 =
% 91.42/13.92 | e22)) & ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) & ( ~
% 91.42/13.92 | (all_24_26 = e20) | ~ (all_24_29 = e20))) | (all_24_24 = e23 & (
% 91.42/13.92 | ~ (all_24_20 = e23) | ~ (all_24_22 = e23)) & ( ~ (all_24_20 =
% 91.42/13.92 | e22) | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) | ~
% 91.42/13.92 | (all_24_22 = e21)) & ( ~ (all_24_20 = e20) | ~ (all_24_22 =
% 91.42/13.92 | e20))) | (all_24_24 = e22 & ( ~ (all_24_21 = e23) | ~
% 91.42/13.92 | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) | ~ (all_24_23 =
% 91.42/13.92 | e22)) & ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) & ( ~
% 91.42/13.92 | (all_24_21 = e20) | ~ (all_24_23 = e20))) | (all_24_24 = e20 & (
% 91.42/13.92 | ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) & ( ~ (all_24_27 =
% 91.42/13.92 | e22) | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) | ~
% 91.42/13.92 | (all_24_30 = e21)) & ( ~ (all_24_27 = e20) | ~ (all_24_30 =
% 91.42/13.92 | e20))) | (all_24_31 = e23 & ( ~ (all_24_25 = e23) | ~
% 91.42/13.92 | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) | ~ (all_24_28 =
% 91.42/13.92 | e22)) & ( ~ (all_24_25 = e21) | ~ (all_24_28 = e21)) & ( ~
% 91.42/13.92 | (all_24_25 = e20) | ~ (all_24_28 = e20))) | (all_24_31 = e22 & (
% 91.42/13.92 | ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) & ( ~ (all_24_26 =
% 91.42/13.92 | e22) | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) | ~
% 91.42/13.92 | (all_24_29 = e21)) & ( ~ (all_24_26 = e20) | ~ (all_24_29 =
% 91.42/13.92 | e20))) | (all_24_31 = e21 & ( ~ (all_24_27 = e23) | ~
% 91.42/13.92 | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) | ~ (all_24_30 =
% 91.42/13.92 | e22)) & ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) & ( ~
% 91.42/13.92 | (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 91.42/13.92 | (359) (all_24_1 = e22 & all_24_17 = all_24_18 & ~ (all_24_18 = all_24_19))
% 91.42/13.92 | | (all_24_2 = e21 & all_24_20 = all_24_22 & ~ (all_24_22 =
% 91.42/13.92 | all_24_24)) | (all_24_3 = e20 & all_24_25 = all_24_28 & ~
% 91.42/13.92 | (all_24_28 = all_24_31)) | (all_24_4 = e23 & all_24_17 = all_24_18
% 91.42/13.92 | & ~ (all_24_16 = all_24_18)) | (all_24_6 = e21 & all_24_21 =
% 91.42/13.92 | all_24_23 & ~ (all_24_23 = all_24_24)) | (all_24_7 = e20 &
% 91.42/13.92 | all_24_26 = all_24_29 & ~ (all_24_29 = all_24_31)) | (all_24_8 =
% 91.42/13.92 | e23 & all_24_20 = all_24_22 & ~ (all_24_16 = all_24_22)) |
% 91.42/13.92 | (all_24_9 = e22 & all_24_21 = all_24_23 & ~ (all_24_19 = all_24_23))
% 91.42/13.92 | | (all_24_11 = e20 & all_24_27 = all_24_30 & ~ (all_24_30 =
% 91.42/13.92 | all_24_31)) | (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 91.42/13.92 | (all_24_16 = all_24_28)) | (all_24_13 = e22 & all_24_26 = all_24_29
% 91.42/13.92 | & ~ (all_24_19 = all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 91.42/13.92 | all_24_30 & ~ (all_24_24 = all_24_30))
% 91.42/13.92 |
% 91.42/13.92 | DELTA: instantiating (11) with fresh symbols all_26_0, all_26_1, all_26_2,
% 91.42/13.92 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 91.42/13.92 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15,
% 91.42/13.92 | all_26_16, all_26_17, all_26_18, all_26_19, all_26_20, all_26_21,
% 91.42/13.92 | all_26_22, all_26_23, all_26_24, all_26_25, all_26_26, all_26_27,
% 91.42/13.92 | all_26_28, all_26_29, all_26_30, all_26_31 gives:
% 91.42/13.93 | (360) op1(e13, all_26_16) = all_26_0 & op1(e13, all_26_17) = all_26_4 &
% 91.42/13.93 | op1(e13, all_26_20) = all_26_8 & op1(e13, all_26_25) = all_26_12 &
% 91.42/13.93 | op1(e13, e13) = all_26_16 & op1(e13, e12) = all_26_18 & op1(e13, e11)
% 91.42/13.93 | = all_26_22 & op1(e13, e10) = all_26_28 & op1(e12, all_26_18) =
% 91.42/13.93 | all_26_1 & op1(e12, all_26_19) = all_26_5 & op1(e12, all_26_21) =
% 91.42/13.93 | all_26_9 & op1(e12, all_26_26) = all_26_13 & op1(e12, e13) =
% 91.42/13.93 | all_26_17 & op1(e12, e12) = all_26_19 & op1(e12, e11) = all_26_23 &
% 91.42/13.93 | op1(e12, e10) = all_26_29 & op1(e11, all_26_22) = all_26_2 & op1(e11,
% 91.42/13.93 | all_26_23) = all_26_6 & op1(e11, all_26_24) = all_26_10 & op1(e11,
% 91.42/13.93 | all_26_27) = all_26_14 & op1(e11, e13) = all_26_20 & op1(e11, e12)
% 91.42/13.93 | = all_26_21 & op1(e11, e11) = all_26_24 & op1(e11, e10) = all_26_30 &
% 91.42/13.93 | op1(e10, all_26_28) = all_26_3 & op1(e10, all_26_29) = all_26_7 &
% 91.42/13.93 | op1(e10, all_26_30) = all_26_11 & op1(e10, all_26_31) = all_26_15 &
% 91.42/13.93 | op1(e10, e13) = all_26_25 & op1(e10, e12) = all_26_26 & op1(e10, e11)
% 91.42/13.93 | = all_26_27 & op1(e10, e10) = all_26_31 & $i(all_26_0) & $i(all_26_1)
% 91.42/13.93 | & $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) &
% 91.42/13.93 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) &
% 91.42/13.93 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) &
% 91.42/13.93 | $i(all_26_14) & $i(all_26_15) & $i(all_26_16) & $i(all_26_17) &
% 91.42/13.93 | $i(all_26_18) & $i(all_26_19) & $i(all_26_20) & $i(all_26_21) &
% 91.42/13.93 | $i(all_26_22) & $i(all_26_23) & $i(all_26_24) & $i(all_26_25) &
% 91.42/13.93 | $i(all_26_26) & $i(all_26_27) & $i(all_26_28) & $i(all_26_29) &
% 91.42/13.93 | $i(all_26_30) & $i(all_26_31) & ((all_26_1 = e12 & all_26_17 =
% 91.42/13.93 | all_26_18 & ~ (all_26_18 = all_26_19)) | (all_26_2 = e11 &
% 91.42/13.93 | all_26_20 = all_26_22 & ~ (all_26_22 = all_26_24)) | (all_26_3 =
% 91.42/13.93 | e10 & all_26_25 = all_26_28 & ~ (all_26_28 = all_26_31)) |
% 91.42/13.93 | (all_26_4 = e13 & all_26_17 = all_26_18 & ~ (all_26_16 =
% 91.42/13.93 | all_26_18)) | (all_26_6 = e11 & all_26_21 = all_26_23 & ~
% 91.42/13.93 | (all_26_23 = all_26_24)) | (all_26_7 = e10 & all_26_26 =
% 91.42/13.93 | all_26_29 & ~ (all_26_29 = all_26_31)) | (all_26_8 = e13 &
% 91.42/13.93 | all_26_20 = all_26_22 & ~ (all_26_16 = all_26_22)) | (all_26_9 =
% 91.42/13.93 | e12 & all_26_21 = all_26_23 & ~ (all_26_19 = all_26_23)) |
% 91.42/13.93 | (all_26_11 = e10 & all_26_27 = all_26_30 & ~ (all_26_30 =
% 91.42/13.93 | all_26_31)) | (all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 91.42/13.93 | (all_26_16 = all_26_28)) | (all_26_13 = e12 & all_26_26 =
% 91.42/13.93 | all_26_29 & ~ (all_26_19 = all_26_29)) | (all_26_14 = e11 &
% 91.42/13.93 | all_26_27 = all_26_30 & ~ (all_26_24 = all_26_30))) &
% 91.42/13.93 | ((all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~ (all_26_18 = e13)) & (
% 91.42/13.93 | ~ (all_26_17 = e12) | ~ (all_26_18 = e12)) & ( ~ (all_26_17 =
% 91.42/13.93 | e11) | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 91.42/13.93 | (all_26_18 = e10))) | (all_26_16 = e11 & ( ~ (all_26_20 = e13)
% 91.42/13.93 | | ~ (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~ (all_26_22
% 91.42/13.93 | = e12)) & ( ~ (all_26_20 = e11) | ~ (all_26_22 = e11)) & ( ~
% 91.42/13.93 | (all_26_20 = e10) | ~ (all_26_22 = e10))) | (all_26_16 = e10 &
% 91.42/13.93 | ( ~ (all_26_25 = e13) | ~ (all_26_28 = e13)) & ( ~ (all_26_25 =
% 91.42/13.93 | e12) | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 91.42/13.93 | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~ (all_26_28 =
% 91.42/13.93 | e10))) | (all_26_19 = e13 & ( ~ (all_26_17 = e13) | ~
% 91.42/13.93 | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~ (all_26_18 =
% 91.42/13.93 | e12)) & ( ~ (all_26_17 = e11) | ~ (all_26_18 = e11)) & ( ~
% 91.42/13.93 | (all_26_17 = e10) | ~ (all_26_18 = e10))) | (all_26_19 = e11 &
% 91.42/13.93 | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) & ( ~ (all_26_21 =
% 91.42/13.93 | e12) | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 91.42/13.93 | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~ (all_26_23 =
% 91.42/13.93 | e10))) | (all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~
% 91.42/13.93 | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~ (all_26_29 =
% 91.42/13.93 | e12)) & ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) & ( ~
% 91.42/13.93 | (all_26_26 = e10) | ~ (all_26_29 = e10))) | (all_26_24 = e13 &
% 91.42/13.93 | ( ~ (all_26_20 = e13) | ~ (all_26_22 = e13)) & ( ~ (all_26_20 =
% 91.42/13.93 | e12) | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 91.42/13.93 | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~ (all_26_22 =
% 91.42/13.93 | e10))) | (all_26_24 = e12 & ( ~ (all_26_21 = e13) | ~
% 91.42/13.93 | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~ (all_26_23 =
% 91.42/13.93 | e12)) & ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) & ( ~
% 91.42/13.93 | (all_26_21 = e10) | ~ (all_26_23 = e10))) | (all_26_24 = e10 &
% 91.42/13.93 | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) & ( ~ (all_26_27 =
% 91.42/13.93 | e12) | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 91.42/13.93 | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~ (all_26_30 =
% 91.42/13.93 | e10))) | (all_26_31 = e13 & ( ~ (all_26_25 = e13) | ~
% 91.42/13.93 | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~ (all_26_28 =
% 91.42/13.93 | e12)) & ( ~ (all_26_25 = e11) | ~ (all_26_28 = e11)) & ( ~
% 91.42/13.93 | (all_26_25 = e10) | ~ (all_26_28 = e10))) | (all_26_31 = e12 &
% 91.42/13.93 | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) & ( ~ (all_26_26 =
% 91.42/13.93 | e12) | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 91.42/13.93 | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~ (all_26_29 =
% 91.42/13.93 | e10))) | (all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~
% 91.42/13.93 | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~ (all_26_30 =
% 91.42/13.93 | e12)) & ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) & ( ~
% 91.42/13.93 | (all_26_27 = e10) | ~ (all_26_30 = e10)))) & ((all_26_17 = e13
% 91.42/13.93 | & all_26_18 = e13 & ~ (all_26_16 = e13) & ~ (all_26_20 = e11) &
% 91.42/13.93 | ~ (all_26_25 = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 91.42/13.93 | all_26_18 = e12 & ~ (all_26_19 = e12) & ~ (all_26_21 = e11) &
% 91.42/13.93 | ~ (all_26_26 = e10) & ~ (e13 = e12)) | (all_26_20 = e13 &
% 91.42/13.93 | all_26_22 = e13 & ~ (all_26_16 = e13) & ~ (all_26_17 = e12) &
% 91.42/13.93 | ~ (all_26_25 = e10) & ~ (e13 = e11)) | (all_26_20 = e11 &
% 91.42/13.93 | all_26_22 = e11 & ~ (all_26_23 = e12) & ~ (all_26_24 = e11) &
% 91.42/13.93 | ~ (all_26_27 = e10) & ~ (e13 = e11)) | (all_26_21 = e12 &
% 91.42/13.93 | all_26_23 = e12 & ~ (all_26_18 = e13) & ~ (all_26_19 = e12) &
% 91.42/13.93 | ~ (all_26_26 = e10) & ~ (e12 = e11)) | (all_26_21 = e11 &
% 91.42/13.93 | all_26_23 = e11 & ~ (all_26_22 = e13) & ~ (all_26_24 = e11) &
% 91.42/13.93 | ~ (all_26_27 = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 91.42/13.93 | all_26_28 = e13 & ~ (all_26_16 = e13) & ~ (all_26_17 = e12) &
% 91.42/13.93 | ~ (all_26_20 = e11) & ~ (e13 = e10)) | (all_26_26 = e12 &
% 91.42/13.93 | all_26_29 = e12 & ~ (all_26_18 = e13) & ~ (all_26_19 = e12) &
% 91.42/13.93 | ~ (all_26_21 = e11) & ~ (e12 = e10)) | (all_26_27 = e11 &
% 91.42/13.93 | all_26_30 = e11 & ~ (all_26_22 = e13) & ~ (all_26_23 = e12) &
% 91.42/13.93 | ~ (all_26_24 = e11) & ~ (e11 = e10)) | ( ~ (all_26_28 = e13) &
% 91.42/13.93 | ~ (all_26_29 = e12) & ~ (all_26_30 = e11) & ~ (all_26_31 = e10)
% 91.42/13.93 | & ((all_26_25 = e10 & all_26_28 = e10) | (all_26_26 = e10 &
% 91.42/13.93 | all_26_29 = e10) | (all_26_27 = e10 & all_26_30 = e10))))
% 91.42/13.93 |
% 91.42/13.93 | ALPHA: (360) implies:
% 91.42/13.93 | (361) op1(e10, e10) = all_26_31
% 91.42/13.94 | (362) op1(e10, e11) = all_26_27
% 91.42/13.94 | (363) op1(e10, e12) = all_26_26
% 91.42/13.94 | (364) op1(e10, e13) = all_26_25
% 91.42/13.94 | (365) op1(e10, all_26_30) = all_26_11
% 91.42/13.94 | (366) op1(e10, all_26_29) = all_26_7
% 91.42/13.94 | (367) op1(e10, all_26_28) = all_26_3
% 91.42/13.94 | (368) op1(e11, e10) = all_26_30
% 91.42/13.94 | (369) op1(e11, e11) = all_26_24
% 91.42/13.94 | (370) op1(e11, e12) = all_26_21
% 91.42/13.94 | (371) op1(e11, e13) = all_26_20
% 91.42/13.94 | (372) op1(e11, all_26_27) = all_26_14
% 91.42/13.94 | (373) op1(e11, all_26_23) = all_26_6
% 91.42/13.94 | (374) op1(e11, all_26_22) = all_26_2
% 91.42/13.94 | (375) op1(e12, e10) = all_26_29
% 91.42/13.94 | (376) op1(e12, e11) = all_26_23
% 91.42/13.94 | (377) op1(e12, e12) = all_26_19
% 91.42/13.94 | (378) op1(e12, e13) = all_26_17
% 91.42/13.94 | (379) op1(e12, all_26_26) = all_26_13
% 91.42/13.94 | (380) op1(e12, all_26_21) = all_26_9
% 91.42/13.94 | (381) op1(e12, all_26_18) = all_26_1
% 91.42/13.94 | (382) op1(e13, e10) = all_26_28
% 91.42/13.94 | (383) op1(e13, e11) = all_26_22
% 91.42/13.94 | (384) op1(e13, e12) = all_26_18
% 91.42/13.94 | (385) op1(e13, e13) = all_26_16
% 91.42/13.94 | (386) op1(e13, all_26_20) = all_26_8
% 91.42/13.94 | (387) op1(e13, all_26_17) = all_26_4
% 91.42/13.94 | (388) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16 = e13) & ~
% 91.42/13.94 | (all_26_20 = e11) & ~ (all_26_25 = e10) & ~ (e13 = e12)) |
% 91.42/13.94 | (all_26_17 = e12 & all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 91.42/13.94 | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~ (e13 = e12)) |
% 91.42/13.94 | (all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16 = e13) & ~
% 91.42/13.94 | (all_26_17 = e12) & ~ (all_26_25 = e10) & ~ (e13 = e11)) |
% 91.42/13.94 | (all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23 = e12) & ~
% 91.42/13.94 | (all_26_24 = e11) & ~ (all_26_27 = e10) & ~ (e13 = e11)) |
% 91.42/13.94 | (all_26_21 = e12 & all_26_23 = e12 & ~ (all_26_18 = e13) & ~
% 91.42/13.94 | (all_26_19 = e12) & ~ (all_26_26 = e10) & ~ (e12 = e11)) |
% 91.42/13.94 | (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22 = e13) & ~
% 91.42/13.94 | (all_26_24 = e11) & ~ (all_26_27 = e10) & ~ (e12 = e11)) |
% 91.42/13.94 | (all_26_25 = e13 & all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 91.42/13.94 | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~ (e13 = e10)) |
% 91.42/13.94 | (all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18 = e13) & ~
% 91.42/13.94 | (all_26_19 = e12) & ~ (all_26_21 = e11) & ~ (e12 = e10)) |
% 91.42/13.94 | (all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22 = e13) & ~
% 91.42/13.94 | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~ (e11 = e10)) | ( ~
% 91.42/13.94 | (all_26_28 = e13) & ~ (all_26_29 = e12) & ~ (all_26_30 = e11) &
% 91.42/13.94 | ~ (all_26_31 = e10) & ((all_26_25 = e10 & all_26_28 = e10) |
% 91.42/13.94 | (all_26_26 = e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 91.42/13.94 | all_26_30 = e10)))
% 91.42/13.95 | (389) (all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~ (all_26_18 = e13)) & (
% 91.42/13.95 | ~ (all_26_17 = e12) | ~ (all_26_18 = e12)) & ( ~ (all_26_17 =
% 91.42/13.95 | e11) | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 91.42/13.95 | (all_26_18 = e10))) | (all_26_16 = e11 & ( ~ (all_26_20 = e13) |
% 91.42/13.95 | ~ (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~ (all_26_22 =
% 91.42/13.95 | e12)) & ( ~ (all_26_20 = e11) | ~ (all_26_22 = e11)) & ( ~
% 91.42/13.95 | (all_26_20 = e10) | ~ (all_26_22 = e10))) | (all_26_16 = e10 & (
% 91.42/13.95 | ~ (all_26_25 = e13) | ~ (all_26_28 = e13)) & ( ~ (all_26_25 =
% 91.42/13.95 | e12) | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 91.42/13.95 | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~ (all_26_28 =
% 91.42/13.95 | e10))) | (all_26_19 = e13 & ( ~ (all_26_17 = e13) | ~
% 91.42/13.95 | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~ (all_26_18 =
% 91.42/13.95 | e12)) & ( ~ (all_26_17 = e11) | ~ (all_26_18 = e11)) & ( ~
% 91.42/13.95 | (all_26_17 = e10) | ~ (all_26_18 = e10))) | (all_26_19 = e11 & (
% 91.42/13.95 | ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) & ( ~ (all_26_21 =
% 91.42/13.95 | e12) | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 91.42/13.95 | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~ (all_26_23 =
% 91.42/13.95 | e10))) | (all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~
% 91.42/13.95 | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~ (all_26_29 =
% 91.42/13.95 | e12)) & ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) & ( ~
% 91.42/13.95 | (all_26_26 = e10) | ~ (all_26_29 = e10))) | (all_26_24 = e13 & (
% 91.42/13.95 | ~ (all_26_20 = e13) | ~ (all_26_22 = e13)) & ( ~ (all_26_20 =
% 91.42/13.95 | e12) | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 91.42/13.95 | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~ (all_26_22 =
% 91.42/13.95 | e10))) | (all_26_24 = e12 & ( ~ (all_26_21 = e13) | ~
% 91.42/13.95 | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~ (all_26_23 =
% 91.42/13.95 | e12)) & ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) & ( ~
% 91.42/13.95 | (all_26_21 = e10) | ~ (all_26_23 = e10))) | (all_26_24 = e10 & (
% 91.42/13.95 | ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) & ( ~ (all_26_27 =
% 91.42/13.95 | e12) | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 91.42/13.95 | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~ (all_26_30 =
% 91.42/13.95 | e10))) | (all_26_31 = e13 & ( ~ (all_26_25 = e13) | ~
% 91.42/13.95 | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~ (all_26_28 =
% 91.42/13.95 | e12)) & ( ~ (all_26_25 = e11) | ~ (all_26_28 = e11)) & ( ~
% 91.42/13.95 | (all_26_25 = e10) | ~ (all_26_28 = e10))) | (all_26_31 = e12 & (
% 91.42/13.95 | ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) & ( ~ (all_26_26 =
% 91.42/13.95 | e12) | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 91.42/13.95 | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~ (all_26_29 =
% 91.42/13.95 | e10))) | (all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~
% 91.42/13.95 | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~ (all_26_30 =
% 91.42/13.95 | e12)) & ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) & ( ~
% 91.42/13.95 | (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 91.42/13.95 | (390) (all_26_1 = e12 & all_26_17 = all_26_18 & ~ (all_26_18 = all_26_19))
% 91.42/13.95 | | (all_26_2 = e11 & all_26_20 = all_26_22 & ~ (all_26_22 =
% 91.42/13.95 | all_26_24)) | (all_26_3 = e10 & all_26_25 = all_26_28 & ~
% 91.42/13.95 | (all_26_28 = all_26_31)) | (all_26_4 = e13 & all_26_17 = all_26_18
% 91.42/13.95 | & ~ (all_26_16 = all_26_18)) | (all_26_6 = e11 & all_26_21 =
% 91.42/13.95 | all_26_23 & ~ (all_26_23 = all_26_24)) | (all_26_7 = e10 &
% 91.42/13.95 | all_26_26 = all_26_29 & ~ (all_26_29 = all_26_31)) | (all_26_8 =
% 91.42/13.95 | e13 & all_26_20 = all_26_22 & ~ (all_26_16 = all_26_22)) |
% 91.42/13.95 | (all_26_9 = e12 & all_26_21 = all_26_23 & ~ (all_26_19 = all_26_23))
% 91.42/13.95 | | (all_26_11 = e10 & all_26_27 = all_26_30 & ~ (all_26_30 =
% 91.42/13.95 | all_26_31)) | (all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 91.42/13.95 | (all_26_16 = all_26_28)) | (all_26_13 = e12 & all_26_26 = all_26_29
% 91.42/13.95 | & ~ (all_26_19 = all_26_29)) | (all_26_14 = e11 & all_26_27 =
% 91.42/13.95 | all_26_30 & ~ (all_26_24 = all_26_30))
% 91.42/13.95 |
% 91.42/13.95 | DELTA: instantiating (23) with fresh symbols all_28_0, all_28_1, all_28_2,
% 91.42/13.95 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 91.42/13.95 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 91.42/13.95 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 91.42/13.95 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 91.42/13.95 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 91.42/13.95 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 91.42/13.95 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 91.42/13.95 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 91.42/13.95 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 91.42/13.95 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 91.42/13.95 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 91.42/13.95 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 91.42/13.95 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 91.42/13.95 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 91.42/13.95 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 91.42/13.95 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 91.42/13.95 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 91.42/13.95 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 91.42/13.95 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 91.42/13.95 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 91.42/13.95 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 91.42/13.95 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 91.42/13.95 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 91.42/13.95 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 91.42/13.95 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 91.42/13.95 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 91.42/13.95 | gives:
% 91.75/13.97 | (391) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 &
% 91.75/13.97 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 &
% 91.75/13.97 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 &
% 91.75/13.97 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 &
% 91.75/13.97 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 &
% 91.75/13.97 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 &
% 91.75/13.97 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 &
% 91.75/13.97 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) =
% 91.75/13.97 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) =
% 91.75/13.97 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 &
% 91.75/13.97 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 &
% 91.75/13.97 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 &
% 91.75/13.97 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 &
% 91.75/13.97 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 &
% 91.75/13.97 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 &
% 91.75/13.97 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 &
% 91.75/13.97 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) =
% 91.75/13.97 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) =
% 91.75/13.97 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 &
% 91.75/13.97 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 &
% 91.75/13.97 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 &
% 91.75/13.97 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 &
% 91.75/13.97 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 &
% 91.75/13.97 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 &
% 91.75/13.97 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 &
% 91.75/13.97 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) =
% 91.75/13.97 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) =
% 91.75/13.97 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) =
% 91.75/13.97 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) =
% 91.75/13.97 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) =
% 91.75/13.97 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) =
% 91.75/13.97 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) =
% 91.75/13.97 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) =
% 91.75/13.97 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) =
% 91.75/13.97 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) =
% 91.75/13.97 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) =
% 91.75/13.97 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) =
% 91.75/13.97 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25,
% 91.75/13.97 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 &
% 91.75/13.97 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) =
% 91.75/13.97 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28,
% 91.75/13.97 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 &
% 91.75/13.97 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) =
% 91.75/13.97 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34,
% 91.75/13.97 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 &
% 91.75/13.97 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) =
% 91.75/13.97 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61,
% 91.75/13.97 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 &
% 91.75/13.97 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) =
% 91.75/13.97 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64,
% 91.75/13.97 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 &
% 91.75/13.97 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) =
% 91.75/13.97 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67,
% 91.75/13.97 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 &
% 91.75/13.97 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) =
% 91.75/13.97 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97,
% 91.75/13.97 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 &
% 91.75/13.97 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) =
% 91.75/13.97 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100,
% 91.75/13.97 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 &
% 91.75/13.97 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97)
% 91.75/13.97 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 &
% 91.75/13.97 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106)
% 91.75/13.97 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 &
% 91.75/13.97 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103)
% 91.75/13.97 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 &
% 91.75/13.97 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145,
% 91.75/13.97 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114
% 91.75/13.97 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149,
% 91.75/13.97 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123
% 91.75/13.97 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149,
% 91.75/13.97 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132
% 91.75/13.97 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153,
% 91.75/13.97 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141
% 91.75/13.97 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157,
% 91.75/13.97 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152
% 91.75/13.97 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) =
% 91.75/13.97 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116
% 91.75/13.97 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12,
% 91.75/13.97 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) =
% 91.75/13.97 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137
% 91.75/13.97 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10,
% 91.75/13.97 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) =
% 91.75/13.97 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1)
% 91.75/13.97 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) &
% 91.75/13.97 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) &
% 91.75/13.97 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) &
% 91.75/13.97 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) &
% 91.75/13.97 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) &
% 91.75/13.97 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) &
% 91.75/13.97 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) &
% 91.75/13.97 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) &
% 91.75/13.97 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) &
% 91.75/13.97 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) &
% 91.75/13.97 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) &
% 91.75/13.97 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) &
% 91.75/13.97 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) &
% 91.75/13.97 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) &
% 91.75/13.97 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) &
% 91.75/13.97 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) &
% 91.75/13.97 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) &
% 91.75/13.97 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) &
% 91.75/13.97 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) &
% 91.75/13.97 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) &
% 91.75/13.97 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) &
% 91.75/13.97 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) &
% 91.75/13.97 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) &
% 91.75/13.97 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) &
% 91.75/13.97 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) &
% 91.75/13.97 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) &
% 91.75/13.97 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) &
% 91.75/13.97 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) &
% 91.75/13.97 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) &
% 91.75/13.97 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) &
% 91.75/13.97 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) &
% 91.75/13.97 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) &
% 91.75/13.97 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) &
% 91.75/13.97 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) &
% 91.75/13.97 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) &
% 91.75/13.97 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) &
% 91.75/13.97 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) &
% 91.75/13.97 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) &
% 91.75/13.97 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) &
% 91.75/13.97 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~
% 91.75/13.97 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 91.75/13.97 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 91.75/13.97 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 91.75/13.97 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 91.75/13.97 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 91.75/13.97 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 91.75/13.97 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 91.75/13.97 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 91.75/13.97 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 91.75/13.97 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 91.75/13.97 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) &
% 91.75/13.97 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 91.75/13.97 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~
% 91.75/13.97 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 91.75/13.97 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 91.75/13.97 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 91.75/13.97 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 91.75/13.97 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 91.75/13.97 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 91.75/13.97 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 91.75/13.97 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 91.75/13.97 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 91.75/13.97 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 91.75/13.97 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 91.75/13.97 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) &
% 91.75/13.97 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 91.75/13.97 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~
% 91.75/13.97 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 91.75/13.97 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 91.75/13.97 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 91.75/13.97 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 91.75/13.97 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 91.75/13.97 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 91.75/13.97 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 91.75/13.97 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 91.75/13.97 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 91.75/13.97 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100
% 91.75/13.97 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 91.75/13.97 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 91.75/13.97 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 91.75/13.97 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 91.75/13.97 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 91.75/13.97 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 91.75/13.97 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 91.75/13.97 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 91.75/13.97 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 91.75/13.97 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 91.75/13.97 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 91.75/13.97 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 91.75/13.97 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 91.75/13.97 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 91.75/13.97 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 91.75/13.97 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 91.75/13.97 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 91.75/13.97 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 91.75/13.97 | (all_28_157 = e20)))
% 91.75/13.97 |
% 91.75/13.97 | ALPHA: (391) implies:
% 91.75/13.98 | (392) op1(e10, e10) = all_28_159
% 91.75/13.98 | (393) op1(e10, e11) = all_28_155
% 91.75/13.98 | (394) op1(e10, e12) = all_28_151
% 91.75/13.98 | (395) op1(e10, e13) = all_28_147
% 91.75/13.98 | (396) op1(e11, e10) = all_28_143
% 91.75/13.98 | (397) op1(e11, e11) = all_28_140
% 91.75/13.98 | (398) op1(e11, e12) = all_28_137
% 91.75/13.98 | (399) op1(e11, e13) = all_28_134
% 91.75/13.98 | (400) op1(e12, e10) = all_28_131
% 91.75/13.98 | (401) op1(e12, e11) = all_28_128
% 91.75/13.98 | (402) op1(e12, e12) = all_28_125
% 91.75/13.98 | (403) op1(e12, e13) = all_28_122
% 91.75/13.98 | (404) op1(e13, e10) = all_28_119
% 91.75/13.98 | (405) op1(e13, e11) = all_28_116
% 91.75/13.98 | (406) op1(e13, e12) = all_28_113
% 91.75/13.98 | (407) op1(e13, e13) = all_28_110
% 91.75/13.98 | (408) op2(all_28_157, all_28_157) = all_28_156
% 91.75/13.98 | (409) op2(all_28_157, all_28_153) = all_28_152
% 91.75/13.98 | (410) op2(all_28_157, all_28_149) = all_28_148
% 91.75/13.98 | (411) op2(all_28_157, all_28_145) = all_28_144
% 91.75/13.98 | (412) op2(all_28_153, all_28_157) = all_28_141
% 91.75/13.98 | (413) op2(all_28_153, all_28_153) = all_28_138
% 91.75/13.98 | (414) op2(all_28_153, all_28_149) = all_28_135
% 91.75/13.98 | (415) op2(all_28_153, all_28_145) = all_28_132
% 91.75/13.98 | (416) op2(all_28_149, all_28_157) = all_28_129
% 91.75/13.98 | (417) op2(all_28_149, all_28_153) = all_28_126
% 91.75/13.98 | (418) op2(all_28_149, all_28_149) = all_28_123
% 91.75/13.98 | (419) op2(all_28_149, all_28_145) = all_28_120
% 91.75/13.98 | (420) op2(all_28_145, all_28_153) = all_28_114
% 91.75/13.98 | (421) op2(all_28_145, all_28_149) = all_28_111
% 91.75/13.98 | (422) op2(all_28_145, all_28_145) = all_28_108
% 91.75/13.98 | (423) op2(all_28_106, all_28_106) = all_28_105
% 91.75/13.98 | (424) op2(all_28_106, all_28_103) = all_28_102
% 91.75/13.98 | (425) op2(all_28_106, all_28_100) = all_28_99
% 91.75/13.98 | (426) op2(all_28_106, all_28_97) = all_28_96
% 91.75/13.98 | (427) op2(all_28_103, all_28_106) = all_28_94
% 91.75/13.98 | (428) op2(all_28_103, all_28_103) = all_28_92
% 91.75/13.98 | (429) op2(all_28_103, all_28_100) = all_28_90
% 91.75/13.98 | (430) op2(all_28_103, all_28_97) = all_28_88
% 91.75/13.98 | (431) op2(all_28_100, all_28_106) = all_28_86
% 91.75/13.98 | (432) op2(all_28_100, all_28_103) = all_28_84
% 91.75/13.98 | (433) op2(all_28_100, all_28_100) = all_28_82
% 91.75/13.98 | (434) op2(all_28_97, all_28_106) = all_28_78
% 91.75/13.98 | (435) op2(all_28_97, all_28_103) = all_28_76
% 91.75/13.98 | (436) op2(all_28_97, all_28_97) = all_28_72
% 91.75/13.98 | (437) op2(all_28_70, all_28_70) = all_28_69
% 91.75/13.98 | (438) op2(all_28_70, all_28_67) = all_28_66
% 91.75/13.98 | (439) op2(all_28_67, all_28_67) = all_28_56
% 91.75/13.98 | (440) op2(all_28_34, all_28_34) = all_28_33
% 91.75/13.98 | (441) op2(all_28_34, all_28_31) = all_28_30
% 91.75/13.98 | (442) op2(all_28_34, all_28_28) = all_28_27
% 91.75/13.98 | (443) op2(all_28_34, all_28_25) = all_28_24
% 91.75/13.98 | (444) op2(all_28_31, all_28_34) = all_28_22
% 91.75/13.98 | (445) op2(all_28_31, all_28_31) = all_28_20
% 91.75/13.98 | (446) op2(all_28_31, all_28_28) = all_28_18
% 91.75/13.98 | (447) op2(all_28_31, all_28_25) = all_28_16
% 91.75/13.98 | (448) op2(all_28_28, all_28_34) = all_28_14
% 91.75/13.98 | (449) op2(all_28_28, all_28_31) = all_28_12
% 91.75/13.98 | (450) op2(all_28_28, all_28_28) = all_28_10
% 91.75/13.98 | (451) op2(all_28_28, all_28_25) = all_28_8
% 91.75/13.98 | (452) op2(all_28_25, all_28_34) = all_28_6
% 91.75/13.98 | (453) op2(all_28_25, all_28_31) = all_28_4
% 91.75/13.98 | (454) op2(all_28_25, all_28_28) = all_28_2
% 91.75/13.98 | (455) op2(all_28_25, all_28_25) = all_28_0
% 91.75/13.98 | (456) h1(e10) = all_28_157
% 91.75/13.98 | (457) h1(e11) = all_28_153
% 91.75/13.98 | (458) h1(e12) = all_28_149
% 91.75/13.98 | (459) h1(e13) = all_28_145
% 91.75/13.98 | (460) h2(e10) = all_28_106
% 91.75/13.98 | (461) h2(e11) = all_28_103
% 91.75/13.98 | (462) h2(e12) = all_28_100
% 91.75/13.98 | (463) h2(e13) = all_28_97
% 91.75/13.98 | (464) h3(e10) = all_28_70
% 91.75/13.98 | (465) h3(e11) = all_28_67
% 91.75/13.98 | (466) h4(e10) = all_28_34
% 91.75/13.98 | (467) h4(e11) = all_28_31
% 91.75/13.98 | (468) h4(e12) = all_28_28
% 91.75/13.98 | (469) h4(e13) = all_28_25
% 91.75/13.98 | (470) h4(all_28_159) = all_28_35
% 91.75/13.98 | (471) h4(all_28_155) = all_28_32
% 91.75/13.98 | (472) h4(all_28_151) = all_28_29
% 91.75/13.98 | (473) h4(all_28_147) = all_28_26
% 91.75/13.98 | (474) h4(all_28_143) = all_28_23
% 91.75/13.98 | (475) h4(all_28_140) = all_28_21
% 91.75/13.98 | (476) h4(all_28_137) = all_28_19
% 91.75/13.98 | (477) h4(all_28_134) = all_28_17
% 91.75/13.98 | (478) h4(all_28_131) = all_28_15
% 91.75/13.98 | (479) h4(all_28_128) = all_28_13
% 91.75/13.98 | (480) h4(all_28_125) = all_28_11
% 91.75/13.99 | (481) h4(all_28_122) = all_28_9
% 91.75/13.99 | (482) h4(all_28_119) = all_28_7
% 91.75/13.99 | (483) h4(all_28_116) = all_28_5
% 91.75/13.99 | (484) h4(all_28_113) = all_28_3
% 91.75/13.99 | (485) h4(all_28_110) = all_28_1
% 91.75/13.99 | (486) ~ (all_28_0 = all_28_1) | ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 91.75/13.99 | all_28_5) | ~ (all_28_6 = all_28_7) | ~ (all_28_8 = all_28_9) |
% 91.75/13.99 | ~ (all_28_10 = all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 91.75/13.99 | (all_28_14 = all_28_15) | ~ (all_28_16 = all_28_17) | ~ (all_28_18
% 91.75/13.99 | = all_28_19) | ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 91.75/13.99 | all_28_23) | ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 91.75/13.99 | all_28_29) | ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 91.75/13.99 | all_28_35) | ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 91.75/13.99 | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 91.75/13.99 | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22))
% 91.75/13.99 | | ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21)
% 91.75/13.99 | & ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 91.75/13.99 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_22_15, all_26_31, e10, e10,
% 91.75/13.99 | simplifying with (288), (361) gives:
% 91.75/13.99 | (487) all_26_31 = all_22_15
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_16_15, all_26_31, e10, e10,
% 91.75/13.99 | simplifying with (188), (361) gives:
% 91.75/13.99 | (488) all_26_31 = all_16_15
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with e11, all_26_31, e10, e10, simplifying
% 91.75/13.99 | with (13), (361) gives:
% 91.75/13.99 | (489) all_26_31 = e11
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_22_15, all_28_159, e10, e10,
% 91.75/13.99 | simplifying with (288), (392) gives:
% 91.75/13.99 | (490) all_28_159 = all_22_15
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_12_15, all_28_159, e10, e10,
% 91.75/13.99 | simplifying with (106), (392) gives:
% 91.75/13.99 | (491) all_28_159 = all_12_15
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with e13, all_22_14, e11, e10, simplifying
% 91.75/13.99 | with (14), (289) gives:
% 91.75/13.99 | (492) all_22_14 = e13
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_22_14, all_26_27, e11, e10,
% 91.75/13.99 | simplifying with (289), (362) gives:
% 91.75/13.99 | (493) all_26_27 = all_22_14
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_12_11, all_26_27, e11, e10,
% 91.75/13.99 | simplifying with (107), (362) gives:
% 91.75/13.99 | (494) all_26_27 = all_12_11
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_22_14, all_28_155, e11, e10,
% 91.75/13.99 | simplifying with (289), (393) gives:
% 91.75/13.99 | (495) all_28_155 = all_22_14
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_16_14, all_28_155, e11, e10,
% 91.75/13.99 | simplifying with (189), (393) gives:
% 91.75/13.99 | (496) all_28_155 = all_16_14
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_16_13, all_22_13, e12, e10,
% 91.75/13.99 | simplifying with (190), (290) gives:
% 91.75/13.99 | (497) all_22_13 = all_16_13
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_22_13, all_26_26, e12, e10,
% 91.75/13.99 | simplifying with (290), (363) gives:
% 91.75/13.99 | (498) all_26_26 = all_22_13
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_26_26, all_28_151, e12, e10,
% 91.75/13.99 | simplifying with (363), (394) gives:
% 91.75/13.99 | (499) all_28_151 = all_26_26
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_12_7, all_28_151, e12, e10,
% 91.75/13.99 | simplifying with (108), (394) gives:
% 91.75/13.99 | (500) all_28_151 = all_12_7
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_12_3, all_22_12, e13, e10,
% 91.75/13.99 | simplifying with (109), (291) gives:
% 91.75/13.99 | (501) all_22_12 = all_12_3
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_22_12, all_26_25, e13, e10,
% 91.75/13.99 | simplifying with (291), (364) gives:
% 91.75/13.99 | (502) all_26_25 = all_22_12
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_26_25, all_28_147, e13, e10,
% 91.75/13.99 | simplifying with (364), (395) gives:
% 91.75/13.99 | (503) all_28_147 = all_26_25
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_16_12, all_28_147, e13, e10,
% 91.75/13.99 | simplifying with (191), (395) gives:
% 91.75/13.99 | (504) all_28_147 = all_16_12
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_22_11, all_26_30, e10, e11,
% 91.75/13.99 | simplifying with (292), (368) gives:
% 91.75/13.99 | (505) all_26_30 = all_22_11
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_16_11, all_26_30, e10, e11,
% 91.75/13.99 | simplifying with (192), (368) gives:
% 91.75/13.99 | (506) all_26_30 = all_16_11
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_26_30, all_28_143, e10, e11,
% 91.75/13.99 | simplifying with (368), (396) gives:
% 91.75/13.99 | (507) all_28_143 = all_26_30
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_12_14, all_28_143, e10, e11,
% 91.75/13.99 | simplifying with (110), (396) gives:
% 91.75/13.99 | (508) all_28_143 = all_12_14
% 91.75/13.99 |
% 91.75/13.99 | GROUND_INST: instantiating (28) with all_12_10, all_26_24, e11, e11,
% 91.75/13.99 | simplifying with (111), (369) gives:
% 91.75/13.99 | (509) all_26_24 = all_12_10
% 91.75/13.99 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_24, all_28_140, e11, e11,
% 91.75/14.00 | simplifying with (369), (397) gives:
% 91.75/14.00 | (510) all_28_140 = all_26_24
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_8, all_28_140, e11, e11,
% 91.75/14.00 | simplifying with (293), (397) gives:
% 91.75/14.00 | (511) all_28_140 = all_22_8
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_10, all_28_140, e11, e11,
% 91.75/14.00 | simplifying with (193), (397) gives:
% 91.75/14.00 | (512) all_28_140 = all_16_10
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_21, all_28_137, e12, e11,
% 91.75/14.00 | simplifying with (370), (398) gives:
% 91.75/14.00 | (513) all_28_137 = all_26_21
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_7, all_28_137, e12, e11,
% 91.75/14.00 | simplifying with (294), (398) gives:
% 91.75/14.00 | (514) all_28_137 = all_22_7
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_9, all_28_137, e12, e11,
% 91.75/14.00 | simplifying with (194), (398) gives:
% 91.75/14.00 | (515) all_28_137 = all_16_9
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_6, all_28_137, e12, e11,
% 91.75/14.00 | simplifying with (112), (398) gives:
% 91.75/14.00 | (516) all_28_137 = all_12_6
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_8, all_22_6, e13, e11, simplifying
% 91.75/14.00 | with (195), (295) gives:
% 91.75/14.00 | (517) all_22_6 = all_16_8
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_6, all_26_20, e13, e11,
% 91.75/14.00 | simplifying with (295), (371) gives:
% 91.75/14.00 | (518) all_26_20 = all_22_6
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_20, all_28_134, e13, e11,
% 91.75/14.00 | simplifying with (371), (399) gives:
% 91.75/14.00 | (519) all_28_134 = all_26_20
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_2, all_28_134, e13, e11,
% 91.75/14.00 | simplifying with (113), (399) gives:
% 91.75/14.00 | (520) all_28_134 = all_12_2
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_7, all_22_10, e10, e12,
% 91.75/14.00 | simplifying with (196), (296) gives:
% 91.75/14.00 | (521) all_22_10 = all_16_7
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_10, all_26_29, e10, e12,
% 91.75/14.00 | simplifying with (296), (375) gives:
% 91.75/14.00 | (522) all_26_29 = all_22_10
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_29, all_28_131, e10, e12,
% 91.75/14.00 | simplifying with (375), (400) gives:
% 91.75/14.00 | (523) all_28_131 = all_26_29
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_13, all_28_131, e10, e12,
% 91.75/14.00 | simplifying with (114), (400) gives:
% 91.75/14.00 | (524) all_28_131 = all_12_13
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_9, all_26_23, e11, e12,
% 91.75/14.00 | simplifying with (115), (376) gives:
% 91.75/14.00 | (525) all_26_23 = all_12_9
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_23, all_28_128, e11, e12,
% 91.75/14.00 | simplifying with (376), (401) gives:
% 91.75/14.00 | (526) all_28_128 = all_26_23
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_5, all_28_128, e11, e12,
% 91.75/14.00 | simplifying with (297), (401) gives:
% 91.75/14.00 | (527) all_28_128 = all_22_5
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_6, all_28_128, e11, e12,
% 91.75/14.00 | simplifying with (197), (401) gives:
% 91.75/14.00 | (528) all_28_128 = all_16_6
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_5, all_22_3, e12, e12, simplifying
% 91.75/14.00 | with (116), (298) gives:
% 91.75/14.00 | (529) all_22_3 = all_12_5
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_3, all_26_19, e12, e12,
% 91.75/14.00 | simplifying with (298), (377) gives:
% 91.75/14.00 | (530) all_26_19 = all_22_3
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_19, all_28_125, e12, e12,
% 91.75/14.00 | simplifying with (377), (402) gives:
% 91.75/14.00 | (531) all_28_125 = all_26_19
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_5, all_28_125, e12, e12,
% 91.75/14.00 | simplifying with (198), (402) gives:
% 91.75/14.00 | (532) all_28_125 = all_16_5
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_1, all_26_17, e13, e12,
% 91.75/14.00 | simplifying with (117), (378) gives:
% 91.75/14.00 | (533) all_26_17 = all_12_1
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_17, all_28_122, e13, e12,
% 91.75/14.00 | simplifying with (378), (403) gives:
% 91.75/14.00 | (534) all_28_122 = all_26_17
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_2, all_28_122, e13, e12,
% 91.75/14.00 | simplifying with (299), (403) gives:
% 91.75/14.00 | (535) all_28_122 = all_22_2
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_4, all_28_122, e13, e12,
% 91.75/14.00 | simplifying with (199), (403) gives:
% 91.75/14.00 | (536) all_28_122 = all_16_4
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_12, all_16_3, e10, e13,
% 91.75/14.00 | simplifying with (118), (200) gives:
% 91.75/14.00 | (537) all_16_3 = all_12_12
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_3, all_22_9, e10, e13, simplifying
% 91.75/14.00 | with (200), (300) gives:
% 91.75/14.00 | (538) all_22_9 = all_16_3
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_28, all_28_119, e10, e13,
% 91.75/14.00 | simplifying with (382), (404) gives:
% 91.75/14.00 | (539) all_28_119 = all_26_28
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_9, all_28_119, e10, e13,
% 91.75/14.00 | simplifying with (300), (404) gives:
% 91.75/14.00 | (540) all_28_119 = all_22_9
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with e12, all_28_119, e10, e13, simplifying
% 91.75/14.00 | with (15), (404) gives:
% 91.75/14.00 | (541) all_28_119 = e12
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_2, all_22_4, e11, e13, simplifying
% 91.75/14.00 | with (201), (301) gives:
% 91.75/14.00 | (542) all_22_4 = all_16_2
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_22, all_28_116, e11, e13,
% 91.75/14.00 | simplifying with (383), (405) gives:
% 91.75/14.00 | (543) all_28_116 = all_26_22
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_4, all_28_116, e11, e13,
% 91.75/14.00 | simplifying with (301), (405) gives:
% 91.75/14.00 | (544) all_28_116 = all_22_4
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_8, all_28_116, e11, e13,
% 91.75/14.00 | simplifying with (119), (405) gives:
% 91.75/14.00 | (545) all_28_116 = all_12_8
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_1, all_22_1, e12, e13, simplifying
% 91.75/14.00 | with (202), (302) gives:
% 91.75/14.00 | (546) all_22_1 = all_16_1
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_1, all_26_18, e12, e13,
% 91.75/14.00 | simplifying with (302), (384) gives:
% 91.75/14.00 | (547) all_26_18 = all_22_1
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_18, all_28_113, e12, e13,
% 91.75/14.00 | simplifying with (384), (406) gives:
% 91.75/14.00 | (548) all_28_113 = all_26_18
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_4, all_28_113, e12, e13,
% 91.75/14.00 | simplifying with (120), (406) gives:
% 91.75/14.00 | (549) all_28_113 = all_12_4
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_16_0, all_22_0, e13, e13, simplifying
% 91.75/14.00 | with (203), (303) gives:
% 91.75/14.00 | (550) all_22_0 = all_16_0
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_26_16, all_28_110, e13, e13,
% 91.75/14.00 | simplifying with (385), (407) gives:
% 91.75/14.00 | (551) all_28_110 = all_26_16
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_22_0, all_28_110, e13, e13,
% 91.75/14.00 | simplifying with (303), (407) gives:
% 91.75/14.00 | (552) all_28_110 = all_22_0
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (28) with all_12_0, all_28_110, e13, e13,
% 91.75/14.00 | simplifying with (121), (407) gives:
% 91.75/14.00 | (553) all_28_110 = all_12_0
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with all_14_15, all_18_15, e20, e20,
% 91.75/14.00 | simplifying with (171), (217) gives:
% 91.75/14.00 | (554) all_18_15 = all_14_15
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with all_10_2, all_18_15, e20, e20,
% 91.75/14.00 | simplifying with (52), (217) gives:
% 91.75/14.00 | (555) all_18_15 = all_10_2
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with all_14_15, all_20_15, e20, e20,
% 91.75/14.00 | simplifying with (171), (246) gives:
% 91.75/14.00 | (556) all_20_15 = all_14_15
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with all_20_15, all_24_31, e20, e20,
% 91.75/14.00 | simplifying with (246), (325) gives:
% 91.75/14.00 | (557) all_24_31 = all_20_15
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with e21, all_24_31, e20, e20, simplifying
% 91.75/14.00 | with (16), (325) gives:
% 91.75/14.00 | (558) all_24_31 = e21
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with all_14_11, all_18_14, e21, e20,
% 91.75/14.00 | simplifying with (172), (218) gives:
% 91.75/14.00 | (559) all_18_14 = all_14_11
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with all_18_14, all_20_14, e21, e20,
% 91.75/14.00 | simplifying with (218), (247) gives:
% 91.75/14.00 | (560) all_20_14 = all_18_14
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with all_20_14, all_24_27, e21, e20,
% 91.75/14.00 | simplifying with (247), (326) gives:
% 91.75/14.00 | (561) all_24_27 = all_20_14
% 91.75/14.00 |
% 91.75/14.00 | GROUND_INST: instantiating (29) with e23, all_24_27, e21, e20, simplifying
% 91.75/14.00 | with (17), (326) gives:
% 91.75/14.00 | (562) all_24_27 = e23
% 91.75/14.00 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_13, all_24_26, e22, e20,
% 91.75/14.01 | simplifying with (248), (327) gives:
% 91.75/14.01 | (563) all_24_26 = all_20_13
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_13, all_24_26, e22, e20,
% 91.75/14.01 | simplifying with (219), (327) gives:
% 91.75/14.01 | (564) all_24_26 = all_18_13
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_7, all_24_26, e22, e20,
% 91.75/14.01 | simplifying with (173), (327) gives:
% 91.75/14.01 | (565) all_24_26 = all_14_7
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_12, all_20_12, e23, e20,
% 91.75/14.01 | simplifying with (220), (249) gives:
% 91.75/14.01 | (566) all_20_12 = all_18_12
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_12, all_24_25, e23, e20,
% 91.75/14.01 | simplifying with (249), (328) gives:
% 91.75/14.01 | (567) all_24_25 = all_20_12
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_3, all_24_25, e23, e20,
% 91.75/14.01 | simplifying with (174), (328) gives:
% 91.75/14.01 | (568) all_24_25 = all_14_3
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_11, all_24_30, e20, e21,
% 91.75/14.01 | simplifying with (250), (333) gives:
% 91.75/14.01 | (569) all_24_30 = all_20_11
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_11, all_24_30, e20, e21,
% 91.75/14.01 | simplifying with (221), (333) gives:
% 91.75/14.01 | (570) all_24_30 = all_18_11
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_14, all_24_30, e20, e21,
% 91.75/14.01 | simplifying with (175), (333) gives:
% 91.75/14.01 | (571) all_24_30 = all_14_14
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_4_2, all_18_10, e21, e21, simplifying
% 91.75/14.01 | with (31), (222) gives:
% 91.75/14.01 | (572) all_18_10 = all_4_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_8, all_24_24, e21, e21,
% 91.75/14.01 | simplifying with (251), (334) gives:
% 91.75/14.01 | (573) all_24_24 = all_20_8
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_10, all_24_24, e21, e21,
% 91.75/14.01 | simplifying with (222), (334) gives:
% 91.75/14.01 | (574) all_24_24 = all_18_10
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_10, all_24_24, e21, e21,
% 91.75/14.01 | simplifying with (176), (334) gives:
% 91.75/14.01 | (575) all_24_24 = all_14_10
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_7, all_24_21, e22, e21,
% 91.75/14.01 | simplifying with (252), (335) gives:
% 91.75/14.01 | (576) all_24_21 = all_20_7
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_9, all_24_21, e22, e21,
% 91.75/14.01 | simplifying with (223), (335) gives:
% 91.75/14.01 | (577) all_24_21 = all_18_9
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_6, all_24_21, e22, e21,
% 91.75/14.01 | simplifying with (177), (335) gives:
% 91.75/14.01 | (578) all_24_21 = all_14_6
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_8, all_20_6, e23, e21, simplifying
% 91.75/14.01 | with (224), (253) gives:
% 91.75/14.01 | (579) all_20_6 = all_18_8
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_6, all_24_20, e23, e21,
% 91.75/14.01 | simplifying with (253), (336) gives:
% 91.75/14.01 | (580) all_24_20 = all_20_6
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_2, all_24_20, e23, e21,
% 91.75/14.01 | simplifying with (178), (336) gives:
% 91.75/14.01 | (581) all_24_20 = all_14_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_7, all_20_10, e20, e22,
% 91.75/14.01 | simplifying with (225), (254) gives:
% 91.75/14.01 | (582) all_20_10 = all_18_7
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_10, all_24_29, e20, e22,
% 91.75/14.01 | simplifying with (254), (341) gives:
% 91.75/14.01 | (583) all_24_29 = all_20_10
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_13, all_24_29, e20, e22,
% 91.75/14.01 | simplifying with (179), (341) gives:
% 91.75/14.01 | (584) all_24_29 = all_14_13
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_5, all_24_23, e21, e22,
% 91.75/14.01 | simplifying with (255), (342) gives:
% 91.75/14.01 | (585) all_24_23 = all_20_5
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_6, all_24_23, e21, e22,
% 91.75/14.01 | simplifying with (226), (342) gives:
% 91.75/14.01 | (586) all_24_23 = all_18_6
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_9, all_24_23, e21, e22,
% 91.75/14.01 | simplifying with (180), (342) gives:
% 91.75/14.01 | (587) all_24_23 = all_14_9
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_5, all_20_3, e22, e22, simplifying
% 91.75/14.01 | with (181), (256) gives:
% 91.75/14.01 | (588) all_20_3 = all_14_5
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_6_2, all_20_3, e22, e22, simplifying
% 91.75/14.01 | with (39), (256) gives:
% 91.75/14.01 | (589) all_20_3 = all_6_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_3, all_24_19, e22, e22,
% 91.75/14.01 | simplifying with (256), (343) gives:
% 91.75/14.01 | (590) all_24_19 = all_20_3
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_5, all_24_19, e22, e22,
% 91.75/14.01 | simplifying with (227), (343) gives:
% 91.75/14.01 | (591) all_24_19 = all_18_5
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_4, all_20_2, e23, e22, simplifying
% 91.75/14.01 | with (228), (257) gives:
% 91.75/14.01 | (592) all_20_2 = all_18_4
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_2, all_24_17, e23, e22,
% 91.75/14.01 | simplifying with (257), (344) gives:
% 91.75/14.01 | (593) all_24_17 = all_20_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_1, all_24_17, e23, e22,
% 91.75/14.01 | simplifying with (182), (344) gives:
% 91.75/14.01 | (594) all_24_17 = all_14_1
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_12, all_18_3, e20, e23,
% 91.75/14.01 | simplifying with (183), (229) gives:
% 91.75/14.01 | (595) all_18_3 = all_14_12
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_3, all_20_9, e20, e23, simplifying
% 91.75/14.01 | with (229), (258) gives:
% 91.75/14.01 | (596) all_20_9 = all_18_3
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_9, all_24_28, e20, e23,
% 91.75/14.01 | simplifying with (258), (349) gives:
% 91.75/14.01 | (597) all_24_28 = all_20_9
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with e22, all_24_28, e20, e23, simplifying
% 91.75/14.01 | with (18), (349) gives:
% 91.75/14.01 | (598) all_24_28 = e22
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_2, all_20_4, e21, e23, simplifying
% 91.75/14.01 | with (230), (259) gives:
% 91.75/14.01 | (599) all_20_4 = all_18_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_4, all_24_22, e21, e23,
% 91.75/14.01 | simplifying with (259), (350) gives:
% 91.75/14.01 | (600) all_24_22 = all_20_4
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_8, all_24_22, e21, e23,
% 91.75/14.01 | simplifying with (184), (350) gives:
% 91.75/14.01 | (601) all_24_22 = all_14_8
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_1, all_20_1, e22, e23, simplifying
% 91.75/14.01 | with (231), (260) gives:
% 91.75/14.01 | (602) all_20_1 = all_18_1
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_1, all_24_18, e22, e23,
% 91.75/14.01 | simplifying with (260), (351) gives:
% 91.75/14.01 | (603) all_24_18 = all_20_1
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_4, all_24_18, e22, e23,
% 91.75/14.01 | simplifying with (185), (351) gives:
% 91.75/14.01 | (604) all_24_18 = all_14_4
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_14_0, all_18_0, e23, e23, simplifying
% 91.75/14.01 | with (186), (232) gives:
% 91.75/14.01 | (605) all_18_0 = all_14_0
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_18_0, all_20_0, e23, e23, simplifying
% 91.75/14.01 | with (232), (261) gives:
% 91.75/14.01 | (606) all_20_0 = all_18_0
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_20_0, all_24_16, e23, e23,
% 91.75/14.01 | simplifying with (261), (352) gives:
% 91.75/14.01 | (607) all_24_16 = all_20_0
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (29) with all_8_2, all_24_16, e23, e23, simplifying
% 91.75/14.01 | with (44), (352) gives:
% 91.75/14.01 | (608) all_24_16 = all_8_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (24) with e20, all_28_157, e10, simplifying with
% 91.75/14.01 | (55), (456) gives:
% 91.75/14.01 | (609) all_28_157 = e20
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (24) with all_10_2, all_28_153, e11, simplifying
% 91.75/14.01 | with (56), (457) gives:
% 91.75/14.01 | (610) all_28_153 = all_10_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (24) with all_10_1, all_28_149, e12, simplifying
% 91.75/14.01 | with (57), (458) gives:
% 91.75/14.01 | (611) all_28_149 = all_10_1
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (24) with all_10_0, all_28_145, e13, simplifying
% 91.75/14.01 | with (58), (459) gives:
% 91.75/14.01 | (612) all_28_145 = all_10_0
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (25) with e21, all_28_106, e10, simplifying with
% 91.75/14.01 | (34), (460) gives:
% 91.75/14.01 | (613) all_28_106 = e21
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (25) with all_4_2, all_28_103, e11, simplifying
% 91.75/14.01 | with (35), (461) gives:
% 91.75/14.01 | (614) all_28_103 = all_4_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (25) with all_4_1, all_28_100, e12, simplifying
% 91.75/14.01 | with (36), (462) gives:
% 91.75/14.01 | (615) all_28_100 = all_4_1
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (25) with all_4_0, all_28_97, e13, simplifying with
% 91.75/14.01 | (37), (463) gives:
% 91.75/14.01 | (616) all_28_97 = all_4_0
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (26) with e22, all_28_70, e10, simplifying with
% 91.75/14.01 | (41), (464) gives:
% 91.75/14.01 | (617) all_28_70 = e22
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (26) with all_6_2, all_28_67, e11, simplifying with
% 91.75/14.01 | (42), (465) gives:
% 91.75/14.01 | (618) all_28_67 = all_6_2
% 91.75/14.01 |
% 91.75/14.01 | GROUND_INST: instantiating (27) with e23, all_28_34, e10, simplifying with
% 91.75/14.01 | (47), (466) gives:
% 91.75/14.02 | (619) all_28_34 = e23
% 91.75/14.02 |
% 91.75/14.02 | GROUND_INST: instantiating (27) with all_8_2, all_28_31, e11, simplifying with
% 91.75/14.02 | (48), (467) gives:
% 91.75/14.02 | (620) all_28_31 = all_8_2
% 91.75/14.02 |
% 91.75/14.02 | GROUND_INST: instantiating (27) with all_8_1, all_28_28, e12, simplifying with
% 91.75/14.02 | (49), (468) gives:
% 91.75/14.02 | (621) all_28_28 = all_8_1
% 91.75/14.02 |
% 91.75/14.02 | GROUND_INST: instantiating (27) with all_8_0, all_28_25, e13, simplifying with
% 91.75/14.02 | (50), (469) gives:
% 91.75/14.02 | (622) all_28_25 = all_8_0
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (551), (553) imply:
% 91.75/14.02 | (623) all_26_16 = all_12_0
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (551), (552) imply:
% 91.75/14.02 | (624) all_26_16 = all_22_0
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (548), (549) imply:
% 91.75/14.02 | (625) all_26_18 = all_12_4
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (625) implies:
% 91.75/14.02 | (626) all_26_18 = all_12_4
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (543), (544) imply:
% 91.75/14.02 | (627) all_26_22 = all_22_4
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (543), (545) imply:
% 91.75/14.02 | (628) all_26_22 = all_12_8
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (539), (541) imply:
% 91.75/14.02 | (629) all_26_28 = e12
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (539), (540) imply:
% 91.75/14.02 | (630) all_26_28 = all_22_9
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (534), (535) imply:
% 91.75/14.02 | (631) all_26_17 = all_22_2
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (631) implies:
% 91.75/14.02 | (632) all_26_17 = all_22_2
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (535), (536) imply:
% 91.75/14.02 | (633) all_22_2 = all_16_4
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (531), (532) imply:
% 91.75/14.02 | (634) all_26_19 = all_16_5
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (634) implies:
% 91.75/14.02 | (635) all_26_19 = all_16_5
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (526), (527) imply:
% 91.75/14.02 | (636) all_26_23 = all_22_5
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (636) implies:
% 91.75/14.02 | (637) all_26_23 = all_22_5
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (527), (528) imply:
% 91.75/14.02 | (638) all_22_5 = all_16_6
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (523), (524) imply:
% 91.75/14.02 | (639) all_26_29 = all_12_13
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (639) implies:
% 91.75/14.02 | (640) all_26_29 = all_12_13
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (519), (520) imply:
% 91.75/14.02 | (641) all_26_20 = all_12_2
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (641) implies:
% 91.75/14.02 | (642) all_26_20 = all_12_2
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (513), (516) imply:
% 91.75/14.02 | (643) all_26_21 = all_12_6
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (513), (515) imply:
% 91.75/14.02 | (644) all_26_21 = all_16_9
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (513), (514) imply:
% 91.75/14.02 | (645) all_26_21 = all_22_7
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (510), (511) imply:
% 91.75/14.02 | (646) all_26_24 = all_22_8
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (646) implies:
% 91.75/14.02 | (647) all_26_24 = all_22_8
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (511), (512) imply:
% 91.75/14.02 | (648) all_22_8 = all_16_10
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (507), (508) imply:
% 91.75/14.02 | (649) all_26_30 = all_12_14
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (649) implies:
% 91.75/14.02 | (650) all_26_30 = all_12_14
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (503), (504) imply:
% 91.75/14.02 | (651) all_26_25 = all_16_12
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (651) implies:
% 91.75/14.02 | (652) all_26_25 = all_16_12
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (499), (500) imply:
% 91.75/14.02 | (653) all_26_26 = all_12_7
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (653) implies:
% 91.75/14.02 | (654) all_26_26 = all_12_7
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (495), (496) imply:
% 91.75/14.02 | (655) all_22_14 = all_16_14
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (655) implies:
% 91.75/14.02 | (656) all_22_14 = all_16_14
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (490), (491) imply:
% 91.75/14.02 | (657) all_22_15 = all_12_15
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (657) implies:
% 91.75/14.02 | (658) all_22_15 = all_12_15
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (623), (624) imply:
% 91.75/14.02 | (659) all_22_0 = all_12_0
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (659) implies:
% 91.75/14.02 | (660) all_22_0 = all_12_0
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (533), (632) imply:
% 91.75/14.02 | (661) all_22_2 = all_12_1
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (661) implies:
% 91.75/14.02 | (662) all_22_2 = all_12_1
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (547), (626) imply:
% 91.75/14.02 | (663) all_22_1 = all_12_4
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (663) implies:
% 91.75/14.02 | (664) all_22_1 = all_12_4
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (530), (635) imply:
% 91.75/14.02 | (665) all_22_3 = all_16_5
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (665) implies:
% 91.75/14.02 | (666) all_22_3 = all_16_5
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (518), (642) imply:
% 91.75/14.02 | (667) all_22_6 = all_12_2
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (667) implies:
% 91.75/14.02 | (668) all_22_6 = all_12_2
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (643), (645) imply:
% 91.75/14.02 | (669) all_22_7 = all_12_6
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (644), (645) imply:
% 91.75/14.02 | (670) all_22_7 = all_16_9
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (627), (628) imply:
% 91.75/14.02 | (671) all_22_4 = all_12_8
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (671) implies:
% 91.75/14.02 | (672) all_22_4 = all_12_8
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (525), (637) imply:
% 91.75/14.02 | (673) all_22_5 = all_12_9
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (673) implies:
% 91.75/14.02 | (674) all_22_5 = all_12_9
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (509), (647) imply:
% 91.75/14.02 | (675) all_22_8 = all_12_10
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (675) implies:
% 91.75/14.02 | (676) all_22_8 = all_12_10
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (502), (652) imply:
% 91.75/14.02 | (677) all_22_12 = all_16_12
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (677) implies:
% 91.75/14.02 | (678) all_22_12 = all_16_12
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (498), (654) imply:
% 91.75/14.02 | (679) all_22_13 = all_12_7
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (679) implies:
% 91.75/14.02 | (680) all_22_13 = all_12_7
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (493), (494) imply:
% 91.75/14.02 | (681) all_22_14 = all_12_11
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (681) implies:
% 91.75/14.02 | (682) all_22_14 = all_12_11
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (629), (630) imply:
% 91.75/14.02 | (683) all_22_9 = e12
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (683) implies:
% 91.75/14.02 | (684) all_22_9 = e12
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (522), (640) imply:
% 91.75/14.02 | (685) all_22_10 = all_12_13
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (685) implies:
% 91.75/14.02 | (686) all_22_10 = all_12_13
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (505), (650) imply:
% 91.75/14.02 | (687) all_22_11 = all_12_14
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (505), (506) imply:
% 91.75/14.02 | (688) all_22_11 = all_16_11
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (487), (488) imply:
% 91.75/14.02 | (689) all_22_15 = all_16_15
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (689) implies:
% 91.75/14.02 | (690) all_22_15 = all_16_15
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (488), (489) imply:
% 91.75/14.02 | (691) all_16_15 = e11
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (607), (608) imply:
% 91.75/14.02 | (692) all_20_0 = all_8_2
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (692) implies:
% 91.75/14.02 | (693) all_20_0 = all_8_2
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (593), (594) imply:
% 91.75/14.02 | (694) all_20_2 = all_14_1
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (694) implies:
% 91.75/14.02 | (695) all_20_2 = all_14_1
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (603), (604) imply:
% 91.75/14.02 | (696) all_20_1 = all_14_4
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (696) implies:
% 91.75/14.02 | (697) all_20_1 = all_14_4
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (590), (591) imply:
% 91.75/14.02 | (698) all_20_3 = all_18_5
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (698) implies:
% 91.75/14.02 | (699) all_20_3 = all_18_5
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (580), (581) imply:
% 91.75/14.02 | (700) all_20_6 = all_14_2
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (700) implies:
% 91.75/14.02 | (701) all_20_6 = all_14_2
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (576), (578) imply:
% 91.75/14.02 | (702) all_20_7 = all_14_6
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (576), (577) imply:
% 91.75/14.02 | (703) all_20_7 = all_18_9
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (600), (601) imply:
% 91.75/14.02 | (704) all_20_4 = all_14_8
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (704) implies:
% 91.75/14.02 | (705) all_20_4 = all_14_8
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (585), (587) imply:
% 91.75/14.02 | (706) all_20_5 = all_14_9
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (585), (586) imply:
% 91.75/14.02 | (707) all_20_5 = all_18_6
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (573), (574) imply:
% 91.75/14.02 | (708) all_20_8 = all_18_10
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (573), (575) imply:
% 91.75/14.02 | (709) all_20_8 = all_14_10
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (567), (568) imply:
% 91.75/14.02 | (710) all_20_12 = all_14_3
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (710) implies:
% 91.75/14.02 | (711) all_20_12 = all_14_3
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (563), (565) imply:
% 91.75/14.02 | (712) all_20_13 = all_14_7
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (563), (564) imply:
% 91.75/14.02 | (713) all_20_13 = all_18_13
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (561), (562) imply:
% 91.75/14.02 | (714) all_20_14 = e23
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (714) implies:
% 91.75/14.02 | (715) all_20_14 = e23
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (597), (598) imply:
% 91.75/14.02 | (716) all_20_9 = e22
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (716) implies:
% 91.75/14.02 | (717) all_20_9 = e22
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (583), (584) imply:
% 91.75/14.02 | (718) all_20_10 = all_14_13
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (718) implies:
% 91.75/14.02 | (719) all_20_10 = all_14_13
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (569), (571) imply:
% 91.75/14.02 | (720) all_20_11 = all_14_14
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (569), (570) imply:
% 91.75/14.02 | (721) all_20_11 = all_18_11
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (557), (558) imply:
% 91.75/14.02 | (722) all_20_15 = e21
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (722) implies:
% 91.75/14.02 | (723) all_20_15 = e21
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (550), (660) imply:
% 91.75/14.02 | (724) all_16_0 = all_12_0
% 91.75/14.02 |
% 91.75/14.02 | SIMP: (724) implies:
% 91.75/14.02 | (725) all_16_0 = all_12_0
% 91.75/14.02 |
% 91.75/14.02 | COMBINE_EQS: (546), (664) imply:
% 91.75/14.03 | (726) all_16_1 = all_12_4
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (633), (662) imply:
% 91.75/14.03 | (727) all_16_4 = all_12_1
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (727) implies:
% 91.75/14.03 | (728) all_16_4 = all_12_1
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (529), (666) imply:
% 91.75/14.03 | (729) all_16_5 = all_12_5
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (542), (672) imply:
% 91.75/14.03 | (730) all_16_2 = all_12_8
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (730) implies:
% 91.75/14.03 | (731) all_16_2 = all_12_8
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (638), (674) imply:
% 91.75/14.03 | (732) all_16_6 = all_12_9
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (517), (668) imply:
% 91.75/14.03 | (733) all_16_8 = all_12_2
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (733) implies:
% 91.75/14.03 | (734) all_16_8 = all_12_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (669), (670) imply:
% 91.75/14.03 | (735) all_16_9 = all_12_6
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (648), (676) imply:
% 91.75/14.03 | (736) all_16_10 = all_12_10
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (736) implies:
% 91.75/14.03 | (737) all_16_10 = all_12_10
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (538), (684) imply:
% 91.75/14.03 | (738) all_16_3 = e12
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (738) implies:
% 91.75/14.03 | (739) all_16_3 = e12
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (521), (686) imply:
% 91.75/14.03 | (740) all_16_7 = all_12_13
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (687), (688) imply:
% 91.75/14.03 | (741) all_16_11 = all_12_14
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (741) implies:
% 91.75/14.03 | (742) all_16_11 = all_12_14
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (501), (678) imply:
% 91.75/14.03 | (743) all_16_12 = all_12_3
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (497), (680) imply:
% 91.75/14.03 | (744) all_16_13 = all_12_7
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (744) implies:
% 91.75/14.03 | (745) all_16_13 = all_12_7
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (492), (656) imply:
% 91.75/14.03 | (746) all_16_14 = e13
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (656), (682) imply:
% 91.75/14.03 | (747) all_16_14 = all_12_11
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (658), (690) imply:
% 91.75/14.03 | (748) all_16_15 = all_12_15
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (748) implies:
% 91.75/14.03 | (749) all_16_15 = all_12_15
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (606), (693) imply:
% 91.75/14.03 | (750) all_18_0 = all_8_2
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (750) implies:
% 91.75/14.03 | (751) all_18_0 = all_8_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (602), (697) imply:
% 91.75/14.03 | (752) all_18_1 = all_14_4
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (752) implies:
% 91.75/14.03 | (753) all_18_1 = all_14_4
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (592), (695) imply:
% 91.75/14.03 | (754) all_18_4 = all_14_1
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (754) implies:
% 91.75/14.03 | (755) all_18_4 = all_14_1
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (589), (699) imply:
% 91.75/14.03 | (756) all_18_5 = all_6_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (588), (699) imply:
% 91.75/14.03 | (757) all_18_5 = all_14_5
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (599), (705) imply:
% 91.75/14.03 | (758) all_18_2 = all_14_8
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (706), (707) imply:
% 91.75/14.03 | (759) all_18_6 = all_14_9
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (759) implies:
% 91.75/14.03 | (760) all_18_6 = all_14_9
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (579), (701) imply:
% 91.75/14.03 | (761) all_18_8 = all_14_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (702), (703) imply:
% 91.75/14.03 | (762) all_18_9 = all_14_6
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (762) implies:
% 91.75/14.03 | (763) all_18_9 = all_14_6
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (708), (709) imply:
% 91.75/14.03 | (764) all_18_10 = all_14_10
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (764) implies:
% 91.75/14.03 | (765) all_18_10 = all_14_10
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (596), (717) imply:
% 91.75/14.03 | (766) all_18_3 = e22
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (766) implies:
% 91.75/14.03 | (767) all_18_3 = e22
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (582), (719) imply:
% 91.75/14.03 | (768) all_18_7 = all_14_13
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (720), (721) imply:
% 91.75/14.03 | (769) all_18_11 = all_14_14
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (769) implies:
% 91.75/14.03 | (770) all_18_11 = all_14_14
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (566), (711) imply:
% 91.75/14.03 | (771) all_18_12 = all_14_3
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (771) implies:
% 91.75/14.03 | (772) all_18_12 = all_14_3
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (712), (713) imply:
% 91.75/14.03 | (773) all_18_13 = all_14_7
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (773) implies:
% 91.75/14.03 | (774) all_18_13 = all_14_7
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (560), (715) imply:
% 91.75/14.03 | (775) all_18_14 = e23
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (775) implies:
% 91.75/14.03 | (776) all_18_14 = e23
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (556), (723) imply:
% 91.75/14.03 | (777) all_14_15 = e21
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (777) implies:
% 91.75/14.03 | (778) all_14_15 = e21
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (605), (751) imply:
% 91.75/14.03 | (779) all_14_0 = all_8_2
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (779) implies:
% 91.75/14.03 | (780) all_14_0 = all_8_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (595), (767) imply:
% 91.75/14.03 | (781) all_14_12 = e22
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (781) implies:
% 91.75/14.03 | (782) all_14_12 = e22
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (756), (757) imply:
% 91.75/14.03 | (783) all_14_5 = all_6_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (572), (765) imply:
% 91.75/14.03 | (784) all_14_10 = all_4_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (559), (776) imply:
% 91.75/14.03 | (785) all_14_11 = e23
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (785) implies:
% 91.75/14.03 | (786) all_14_11 = e23
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (554), (555) imply:
% 91.75/14.03 | (787) all_14_15 = all_10_2
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (787) implies:
% 91.75/14.03 | (788) all_14_15 = all_10_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (537), (739) imply:
% 91.75/14.03 | (789) all_12_12 = e12
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (789) implies:
% 91.75/14.03 | (790) all_12_12 = e12
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (746), (747) imply:
% 91.75/14.03 | (791) all_12_11 = e13
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (691), (749) imply:
% 91.75/14.03 | (792) all_12_15 = e11
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (778), (788) imply:
% 91.75/14.03 | (793) all_10_2 = e21
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (793) implies:
% 91.75/14.03 | (794) all_10_2 = e21
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (709), (784) imply:
% 91.75/14.03 | (795) all_20_8 = all_4_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (658), (792) imply:
% 91.75/14.03 | (796) all_22_15 = e11
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (573), (795) imply:
% 91.75/14.03 | (797) all_24_24 = all_4_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (591), (756) imply:
% 91.75/14.03 | (798) all_24_19 = all_6_2
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (494), (791) imply:
% 91.75/14.03 | (799) all_26_27 = e13
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (652), (743) imply:
% 91.75/14.03 | (800) all_26_25 = all_12_3
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (635), (729) imply:
% 91.75/14.03 | (801) all_26_19 = all_12_5
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (491), (792) imply:
% 91.75/14.03 | (802) all_28_159 = e11
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (496), (746) imply:
% 91.75/14.03 | (803) all_28_155 = e13
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (610), (794) imply:
% 91.75/14.03 | (804) all_28_153 = e21
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (504), (743) imply:
% 91.75/14.03 | (805) all_28_147 = all_12_3
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (511), (676) imply:
% 91.75/14.03 | (806) all_28_140 = all_12_10
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (527), (674) imply:
% 91.75/14.03 | (807) all_28_128 = all_12_9
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (532), (729) imply:
% 91.75/14.03 | (808) all_28_125 = all_12_5
% 91.75/14.03 |
% 91.75/14.03 | COMBINE_EQS: (535), (662) imply:
% 91.75/14.03 | (809) all_28_122 = all_12_1
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (170), (780) imply:
% 91.75/14.03 | (810) ~ (all_14_1 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (810) implies:
% 91.75/14.03 | (811) ~ (all_14_1 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (169), (780) imply:
% 91.75/14.03 | (812) ~ (all_14_2 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (812) implies:
% 91.75/14.03 | (813) ~ (all_14_2 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (168), (780) imply:
% 91.75/14.03 | (814) ~ (all_14_3 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (814) implies:
% 91.75/14.03 | (815) ~ (all_14_3 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (167), (780) imply:
% 91.75/14.03 | (816) ~ (all_14_4 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (816) implies:
% 91.75/14.03 | (817) ~ (all_14_4 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (166), (780) imply:
% 91.75/14.03 | (818) ~ (all_14_8 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (818) implies:
% 91.75/14.03 | (819) ~ (all_14_8 = all_8_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (165), (780), (782) imply:
% 91.75/14.03 | (820) ~ (all_8_2 = e22)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (162), (783) imply:
% 91.75/14.03 | (821) ~ (all_14_1 = all_6_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (157), (784) imply:
% 91.75/14.03 | (822) ~ (all_14_2 = all_4_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (154), (786) imply:
% 91.75/14.03 | (823) ~ (all_14_3 = e23)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (153), (778) imply:
% 91.75/14.03 | (824) ~ (all_14_3 = e21)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (152), (783) imply:
% 91.75/14.03 | (825) ~ (all_14_4 = all_6_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (148), (782) imply:
% 91.75/14.03 | (826) ~ (all_14_4 = e22)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (147), (783) imply:
% 91.75/14.03 | (827) ~ (all_14_6 = all_6_2)
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (827) implies:
% 91.75/14.03 | (828) ~ (all_14_6 = all_6_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (146), (783) imply:
% 91.75/14.03 | (829) ~ (all_14_7 = all_6_2)
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (829) implies:
% 91.75/14.03 | (830) ~ (all_14_7 = all_6_2)
% 91.75/14.03 |
% 91.75/14.03 | REDUCE: (145), (783) imply:
% 91.75/14.03 | (831) ~ (all_14_9 = all_6_2)
% 91.75/14.03 |
% 91.75/14.03 | SIMP: (831) implies:
% 91.75/14.04 | (832) ~ (all_14_9 = all_6_2)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (144), (783) imply:
% 91.75/14.04 | (833) ~ (all_14_13 = all_6_2)
% 91.75/14.04 |
% 91.75/14.04 | SIMP: (833) implies:
% 91.75/14.04 | (834) ~ (all_14_13 = all_6_2)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (142), (784) imply:
% 91.75/14.04 | (835) ~ (all_14_6 = all_4_2)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (140), (786) imply:
% 91.75/14.04 | (836) ~ (all_14_7 = e23)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (139), (778) imply:
% 91.75/14.04 | (837) ~ (all_14_7 = e21)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (137), (784) imply:
% 91.75/14.04 | (838) ~ (all_14_8 = all_4_2)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (136), (786) imply:
% 91.75/14.04 | (839) ~ (all_14_8 = e23)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (135), (782) imply:
% 91.75/14.04 | (840) ~ (all_14_8 = e22)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (134), (784) imply:
% 91.75/14.04 | (841) ~ (all_14_9 = all_4_2)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (133), (786) imply:
% 91.75/14.04 | (842) ~ (all_14_9 = e23)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (131), (784), (786) imply:
% 91.75/14.04 | (843) ~ (all_4_2 = e23)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (130), (784) imply:
% 91.75/14.04 | (844) ~ (all_14_14 = all_4_2)
% 91.75/14.04 |
% 91.75/14.04 | SIMP: (844) implies:
% 91.75/14.04 | (845) ~ (all_14_14 = all_4_2)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (129), (778), (786) imply:
% 91.75/14.04 | (846) ~ (e23 = e21)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (128), (782) imply:
% 91.75/14.04 | (847) ~ (all_14_13 = e22)
% 91.75/14.04 |
% 91.75/14.04 | SIMP: (847) implies:
% 91.75/14.04 | (848) ~ (all_14_13 = e22)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (127), (782) imply:
% 91.75/14.04 | (849) ~ (all_14_14 = e22)
% 91.75/14.04 |
% 91.75/14.04 | SIMP: (849) implies:
% 91.75/14.04 | (850) ~ (all_14_14 = e22)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (126), (778), (782) imply:
% 91.75/14.04 | (851) ~ (e22 = e21)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (124), (778) imply:
% 91.75/14.04 | (852) ~ (all_14_13 = e21)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (123), (778) imply:
% 91.75/14.04 | (853) ~ (all_14_14 = e21)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (100), (790) imply:
% 91.75/14.04 | (854) ~ (all_12_0 = e12)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (89), (791) imply:
% 91.75/14.04 | (855) ~ (all_12_3 = e13)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (88), (792) imply:
% 91.75/14.04 | (856) ~ (all_12_3 = e11)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (83), (790) imply:
% 91.75/14.04 | (857) ~ (all_12_4 = e12)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (75), (791) imply:
% 91.75/14.04 | (858) ~ (all_12_7 = e13)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (74), (792) imply:
% 91.75/14.04 | (859) ~ (all_12_7 = e11)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (71), (791) imply:
% 91.75/14.04 | (860) ~ (all_12_8 = e13)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (70), (790) imply:
% 91.75/14.04 | (861) ~ (all_12_8 = e12)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (68), (791) imply:
% 91.75/14.04 | (862) ~ (all_12_9 = e13)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (66), (791) imply:
% 91.75/14.04 | (863) ~ (all_12_10 = e13)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (64), (790) imply:
% 91.75/14.04 | (864) ~ (all_12_13 = e12)
% 91.75/14.04 |
% 91.75/14.04 | SIMP: (864) implies:
% 91.75/14.04 | (865) ~ (all_12_13 = e12)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (63), (790) imply:
% 91.75/14.04 | (866) ~ (all_12_14 = e12)
% 91.75/14.04 |
% 91.75/14.04 | SIMP: (866) implies:
% 91.75/14.04 | (867) ~ (all_12_14 = e12)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (61), (792) imply:
% 91.75/14.04 | (868) ~ (all_12_13 = e11)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (60), (792) imply:
% 91.75/14.04 | (869) ~ (all_12_14 = e11)
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (485), (553) imply:
% 91.75/14.04 | (870) h4(all_12_0) = all_28_1
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (484), (549) imply:
% 91.75/14.04 | (871) h4(all_12_4) = all_28_3
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (483), (545) imply:
% 91.75/14.04 | (872) h4(all_12_8) = all_28_5
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (482), (541) imply:
% 91.75/14.04 | (873) h4(e12) = all_28_7
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (481), (809) imply:
% 91.75/14.04 | (874) h4(all_12_1) = all_28_9
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (480), (808) imply:
% 91.75/14.04 | (875) h4(all_12_5) = all_28_11
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (479), (807) imply:
% 91.75/14.04 | (876) h4(all_12_9) = all_28_13
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (478), (524) imply:
% 91.75/14.04 | (877) h4(all_12_13) = all_28_15
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (477), (520) imply:
% 91.75/14.04 | (878) h4(all_12_2) = all_28_17
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (476), (516) imply:
% 91.75/14.04 | (879) h4(all_12_6) = all_28_19
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (475), (806) imply:
% 91.75/14.04 | (880) h4(all_12_10) = all_28_21
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (474), (508) imply:
% 91.75/14.04 | (881) h4(all_12_14) = all_28_23
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (473), (805) imply:
% 91.75/14.04 | (882) h4(all_12_3) = all_28_26
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (472), (500) imply:
% 91.75/14.04 | (883) h4(all_12_7) = all_28_29
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (471), (803) imply:
% 91.75/14.04 | (884) h4(e13) = all_28_32
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (470), (802) imply:
% 91.75/14.04 | (885) h4(e11) = all_28_35
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (455), (622) imply:
% 91.75/14.04 | (886) op2(all_8_0, all_8_0) = all_28_0
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (454), (621), (622) imply:
% 91.75/14.04 | (887) op2(all_8_0, all_8_1) = all_28_2
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (453), (620), (622) imply:
% 91.75/14.04 | (888) op2(all_8_0, all_8_2) = all_28_4
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (452), (619), (622) imply:
% 91.75/14.04 | (889) op2(all_8_0, e23) = all_28_6
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (451), (621), (622) imply:
% 91.75/14.04 | (890) op2(all_8_1, all_8_0) = all_28_8
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (450), (621) imply:
% 91.75/14.04 | (891) op2(all_8_1, all_8_1) = all_28_10
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (449), (620), (621) imply:
% 91.75/14.04 | (892) op2(all_8_1, all_8_2) = all_28_12
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (448), (619), (621) imply:
% 91.75/14.04 | (893) op2(all_8_1, e23) = all_28_14
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (447), (620), (622) imply:
% 91.75/14.04 | (894) op2(all_8_2, all_8_0) = all_28_16
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (446), (620), (621) imply:
% 91.75/14.04 | (895) op2(all_8_2, all_8_1) = all_28_18
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (445), (620) imply:
% 91.75/14.04 | (896) op2(all_8_2, all_8_2) = all_28_20
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (444), (619), (620) imply:
% 91.75/14.04 | (897) op2(all_8_2, e23) = all_28_22
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (443), (619), (622) imply:
% 91.75/14.04 | (898) op2(e23, all_8_0) = all_28_24
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (442), (619), (621) imply:
% 91.75/14.04 | (899) op2(e23, all_8_1) = all_28_27
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (441), (619), (620) imply:
% 91.75/14.04 | (900) op2(e23, all_8_2) = all_28_30
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (440), (619) imply:
% 91.75/14.04 | (901) op2(e23, e23) = all_28_33
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (439), (618) imply:
% 91.75/14.04 | (902) op2(all_6_2, all_6_2) = all_28_56
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (438), (617), (618) imply:
% 91.75/14.04 | (903) op2(e22, all_6_2) = all_28_66
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (437), (617) imply:
% 91.75/14.04 | (904) op2(e22, e22) = all_28_69
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (436), (616) imply:
% 91.75/14.04 | (905) op2(all_4_0, all_4_0) = all_28_72
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (435), (614), (616) imply:
% 91.75/14.04 | (906) op2(all_4_0, all_4_2) = all_28_76
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (434), (613), (616) imply:
% 91.75/14.04 | (907) op2(all_4_0, e21) = all_28_78
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (433), (615) imply:
% 91.75/14.04 | (908) op2(all_4_1, all_4_1) = all_28_82
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (432), (614), (615) imply:
% 91.75/14.04 | (909) op2(all_4_1, all_4_2) = all_28_84
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (431), (613), (615) imply:
% 91.75/14.04 | (910) op2(all_4_1, e21) = all_28_86
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (430), (614), (616) imply:
% 91.75/14.04 | (911) op2(all_4_2, all_4_0) = all_28_88
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (429), (614), (615) imply:
% 91.75/14.04 | (912) op2(all_4_2, all_4_1) = all_28_90
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (428), (614) imply:
% 91.75/14.04 | (913) op2(all_4_2, all_4_2) = all_28_92
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (427), (613), (614) imply:
% 91.75/14.04 | (914) op2(all_4_2, e21) = all_28_94
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (426), (613), (616) imply:
% 91.75/14.04 | (915) op2(e21, all_4_0) = all_28_96
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (425), (613), (615) imply:
% 91.75/14.04 | (916) op2(e21, all_4_1) = all_28_99
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (424), (613), (614) imply:
% 91.75/14.04 | (917) op2(e21, all_4_2) = all_28_102
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (423), (613) imply:
% 91.75/14.04 | (918) op2(e21, e21) = all_28_105
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (422), (612) imply:
% 91.75/14.04 | (919) op2(all_10_0, all_10_0) = all_28_108
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (421), (611), (612) imply:
% 91.75/14.04 | (920) op2(all_10_0, all_10_1) = all_28_111
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (420), (612), (804) imply:
% 91.75/14.04 | (921) op2(all_10_0, e21) = all_28_114
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (419), (611), (612) imply:
% 91.75/14.04 | (922) op2(all_10_1, all_10_0) = all_28_120
% 91.75/14.04 |
% 91.75/14.04 | REDUCE: (418), (611) imply:
% 91.75/14.04 | (923) op2(all_10_1, all_10_1) = all_28_123
% 91.75/14.04 |
% 91.75/14.05 | REDUCE: (417), (611), (804) imply:
% 91.75/14.05 | (924) op2(all_10_1, e21) = all_28_126
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (416), (609), (611) imply:
% 91.75/14.05 | (925) op2(all_10_1, e20) = all_28_129
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (415), (612), (804) imply:
% 91.75/14.05 | (926) op2(e21, all_10_0) = all_28_132
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (414), (611), (804) imply:
% 91.75/14.05 | (927) op2(e21, all_10_1) = all_28_135
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (413), (804) imply:
% 91.75/14.05 | (928) op2(e21, e21) = all_28_138
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (412), (609), (804) imply:
% 91.75/14.05 | (929) op2(e21, e20) = all_28_141
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (411), (609), (612) imply:
% 91.75/14.05 | (930) op2(e20, all_10_0) = all_28_144
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (410), (609), (611) imply:
% 91.75/14.05 | (931) op2(e20, all_10_1) = all_28_148
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (409), (609), (804) imply:
% 91.75/14.05 | (932) op2(e20, e21) = all_28_152
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (408), (609) imply:
% 91.75/14.05 | (933) op2(e20, e20) = all_28_156
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (356), (608) imply:
% 91.75/14.05 | (934) op2(e23, all_8_2) = all_24_0
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (355), (594) imply:
% 91.75/14.05 | (935) op2(e23, all_14_1) = all_24_4
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (354), (581) imply:
% 91.75/14.05 | (936) op2(e23, all_14_2) = all_24_8
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (353), (568) imply:
% 91.75/14.05 | (937) op2(e23, all_14_3) = all_24_12
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (348), (604) imply:
% 91.75/14.05 | (938) op2(e22, all_14_4) = all_24_1
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (347), (798) imply:
% 91.75/14.05 | (939) op2(e22, all_6_2) = all_24_5
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (346), (578) imply:
% 91.75/14.05 | (940) op2(e22, all_14_6) = all_24_9
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (345), (565) imply:
% 91.75/14.05 | (941) op2(e22, all_14_7) = all_24_13
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (340), (601) imply:
% 91.75/14.05 | (942) op2(e21, all_14_8) = all_24_2
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (339), (587) imply:
% 91.75/14.05 | (943) op2(e21, all_14_9) = all_24_6
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (338), (797) imply:
% 91.75/14.05 | (944) op2(e21, all_4_2) = all_24_10
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (337), (562) imply:
% 91.75/14.05 | (945) op2(e21, e23) = all_24_14
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (332), (598) imply:
% 91.75/14.05 | (946) op2(e20, e22) = all_24_3
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (331), (584) imply:
% 91.75/14.05 | (947) op2(e20, all_14_13) = all_24_7
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (330), (571) imply:
% 91.75/14.05 | (948) op2(e20, all_14_14) = all_24_11
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (329), (558) imply:
% 91.75/14.05 | (949) op2(e20, e21) = all_24_15
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (53), (794) imply:
% 91.75/14.05 | (950) op2(e20, e21) = all_10_0
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (387), (533) imply:
% 91.75/14.05 | (951) op1(e13, all_12_1) = all_26_4
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (386), (642) imply:
% 91.75/14.05 | (952) op1(e13, all_12_2) = all_26_8
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (381), (626) imply:
% 91.75/14.05 | (953) op1(e12, all_12_4) = all_26_1
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (380), (643) imply:
% 91.75/14.05 | (954) op1(e12, all_12_6) = all_26_9
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (379), (654) imply:
% 91.75/14.05 | (955) op1(e12, all_12_7) = all_26_13
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (374), (628) imply:
% 91.75/14.05 | (956) op1(e11, all_12_8) = all_26_2
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (373), (525) imply:
% 91.75/14.05 | (957) op1(e11, all_12_9) = all_26_6
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (372), (799) imply:
% 91.75/14.05 | (958) op1(e11, e13) = all_26_14
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (367), (629) imply:
% 91.75/14.05 | (959) op1(e10, e12) = all_26_3
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (366), (640) imply:
% 91.75/14.05 | (960) op1(e10, all_12_13) = all_26_7
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (365), (650) imply:
% 91.75/14.05 | (961) op1(e10, all_12_14) = all_26_11
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (28) with all_12_7, all_26_3, e12, e10, simplifying
% 91.75/14.05 | with (108), (959) gives:
% 91.75/14.05 | (962) all_26_3 = all_12_7
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (28) with all_12_2, all_26_14, e13, e11,
% 91.75/14.05 | simplifying with (113), (958) gives:
% 91.75/14.05 | (963) all_26_14 = all_12_2
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with e21, all_28_156, e20, e20, simplifying
% 91.75/14.05 | with (16), (933) gives:
% 91.75/14.05 | (964) all_28_156 = e21
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with e23, all_24_15, e21, e20, simplifying
% 91.75/14.05 | with (17), (949) gives:
% 91.75/14.05 | (965) all_24_15 = e23
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_24_15, all_28_152, e21, e20,
% 91.75/14.05 | simplifying with (932), (949) gives:
% 91.75/14.05 | (966) all_28_152 = all_24_15
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_10_0, all_28_152, e21, e20,
% 91.75/14.05 | simplifying with (932), (950) gives:
% 91.75/14.05 | (967) all_28_152 = all_10_0
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_14_7, all_24_3, e22, e20, simplifying
% 91.75/14.05 | with (173), (946) gives:
% 91.75/14.05 | (968) all_24_3 = all_14_7
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_14_14, all_28_141, e20, e21,
% 91.75/14.05 | simplifying with (175), (929) gives:
% 91.75/14.05 | (969) all_28_141 = all_14_14
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_4_2, all_28_105, e21, e21,
% 91.75/14.05 | simplifying with (31), (918) gives:
% 91.75/14.05 | (970) all_28_105 = all_4_2
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_28_138, all_28_105, e21, e21,
% 91.75/14.05 | simplifying with (918), (928) gives:
% 91.75/14.05 | (971) all_28_105 = all_28_138
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_14_2, all_24_14, e23, e21,
% 91.75/14.05 | simplifying with (178), (945) gives:
% 91.75/14.05 | (972) all_24_14 = all_14_2
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_4_0, all_28_102, all_4_2, e21,
% 91.75/14.05 | simplifying with (32), (917) gives:
% 91.75/14.05 | (973) all_28_102 = all_4_0
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_24_10, all_28_102, all_4_2, e21,
% 91.75/14.05 | simplifying with (917), (944) gives:
% 91.75/14.05 | (974) all_28_102 = all_24_10
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_6_2, all_28_69, e22, e22, simplifying
% 91.75/14.05 | with (39), (904) gives:
% 91.75/14.05 | (975) all_28_69 = all_6_2
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_6_0, all_28_66, all_6_2, e22,
% 91.75/14.05 | simplifying with (40), (903) gives:
% 91.75/14.05 | (976) all_28_66 = all_6_0
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_24_5, all_28_66, all_6_2, e22,
% 91.75/14.05 | simplifying with (903), (939) gives:
% 91.75/14.05 | (977) all_28_66 = all_24_5
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_8_2, all_28_33, e23, e23, simplifying
% 91.75/14.05 | with (44), (901) gives:
% 91.75/14.05 | (978) all_28_33 = all_8_2
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_8_0, all_28_30, all_8_2, e23,
% 91.75/14.05 | simplifying with (45), (900) gives:
% 91.75/14.05 | (979) all_28_30 = all_8_0
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_24_0, all_28_30, all_8_2, e23,
% 91.75/14.05 | simplifying with (900), (934) gives:
% 91.75/14.05 | (980) all_28_30 = all_24_0
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_4_1, all_28_78, e21, all_4_0,
% 91.75/14.05 | simplifying with (33), (907) gives:
% 91.75/14.05 | (981) all_28_78 = all_4_1
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (29) with all_8_1, all_28_6, e23, all_8_0,
% 91.75/14.05 | simplifying with (46), (889) gives:
% 91.75/14.05 | (982) all_28_6 = all_8_1
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (27) with all_8_2, all_28_35, e11, simplifying with
% 91.75/14.05 | (48), (885) gives:
% 91.75/14.05 | (983) all_28_35 = all_8_2
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (27) with all_8_1, all_28_7, e12, simplifying with
% 91.75/14.05 | (49), (873) gives:
% 91.75/14.05 | (984) all_28_7 = all_8_1
% 91.75/14.05 |
% 91.75/14.05 | GROUND_INST: instantiating (27) with all_8_0, all_28_32, e13, simplifying with
% 91.75/14.05 | (50), (884) gives:
% 91.75/14.05 | (985) all_28_32 = all_8_0
% 91.75/14.05 |
% 91.75/14.05 | COMBINE_EQS: (979), (980) imply:
% 91.75/14.05 | (986) all_24_0 = all_8_0
% 91.75/14.05 |
% 91.75/14.05 | SIMP: (986) implies:
% 91.75/14.05 | (987) all_24_0 = all_8_0
% 91.75/14.05 |
% 91.75/14.05 | COMBINE_EQS: (976), (977) imply:
% 91.75/14.05 | (988) all_24_5 = all_6_0
% 91.75/14.05 |
% 91.75/14.05 | COMBINE_EQS: (973), (974) imply:
% 91.75/14.05 | (989) all_24_10 = all_4_0
% 91.75/14.05 |
% 91.75/14.05 | SIMP: (989) implies:
% 91.75/14.05 | (990) all_24_10 = all_4_0
% 91.75/14.05 |
% 91.75/14.05 | COMBINE_EQS: (970), (971) imply:
% 91.75/14.05 | (991) all_28_138 = all_4_2
% 91.75/14.05 |
% 91.75/14.05 | COMBINE_EQS: (966), (967) imply:
% 91.75/14.05 | (992) all_24_15 = all_10_0
% 91.75/14.05 |
% 91.75/14.05 | SIMP: (992) implies:
% 91.75/14.05 | (993) all_24_15 = all_10_0
% 91.75/14.05 |
% 91.75/14.05 | COMBINE_EQS: (965), (993) imply:
% 91.75/14.05 | (994) all_10_0 = e23
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (919), (994) imply:
% 91.75/14.05 | (995) op2(e23, e23) = all_28_108
% 91.75/14.05 |
% 91.75/14.05 | REDUCE: (920), (994) imply:
% 91.75/14.06 | (996) op2(e23, all_10_1) = all_28_111
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (921), (994) imply:
% 91.75/14.06 | (997) op2(e23, e21) = all_28_114
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (54), (994) imply:
% 91.75/14.06 | (998) op2(e23, e20) = all_10_1
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (922), (994) imply:
% 91.75/14.06 | (999) op2(all_10_1, e23) = all_28_120
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (926), (994) imply:
% 91.75/14.06 | (1000) op2(e21, e23) = all_28_132
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (930), (994) imply:
% 91.75/14.06 | (1001) op2(e20, e23) = all_28_144
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_3, all_28_144, e23, e20,
% 91.75/14.06 | simplifying with (174), (1001) gives:
% 91.75/14.06 | (1002) all_28_144 = all_14_3
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_2, all_28_132, e23, e21,
% 91.75/14.06 | simplifying with (178), (1000) gives:
% 91.75/14.06 | (1003) all_28_132 = all_14_2
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with e22, all_10_1, e20, e23, simplifying with
% 91.75/14.06 | (18), (998) gives:
% 91.75/14.06 | (1004) all_10_1 = e22
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_8, all_28_114, e21, e23,
% 91.75/14.06 | simplifying with (184), (997) gives:
% 91.75/14.06 | (1005) all_28_114 = all_14_8
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_8_2, all_28_108, e23, e23,
% 91.75/14.06 | simplifying with (44), (995) gives:
% 91.75/14.06 | (1006) all_28_108 = all_8_2
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (923), (1004) imply:
% 91.75/14.06 | (1007) op2(e22, e22) = all_28_123
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (999), (1004) imply:
% 91.75/14.06 | (1008) op2(e22, e23) = all_28_120
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (924), (1004) imply:
% 91.75/14.06 | (1009) op2(e22, e21) = all_28_126
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (925), (1004) imply:
% 91.75/14.06 | (1010) op2(e22, e20) = all_28_129
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (996), (1004) imply:
% 91.75/14.06 | (1011) op2(e23, e22) = all_28_111
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (927), (1004) imply:
% 91.75/14.06 | (1012) op2(e21, e22) = all_28_135
% 91.75/14.06 |
% 91.75/14.06 | REDUCE: (931), (1004) imply:
% 91.75/14.06 | (1013) op2(e20, e22) = all_28_148
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_7, all_28_148, e22, e20,
% 91.75/14.06 | simplifying with (173), (1013) gives:
% 91.75/14.06 | (1014) all_28_148 = all_14_7
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_6, all_28_135, e22, e21,
% 91.75/14.06 | simplifying with (177), (1012) gives:
% 91.75/14.06 | (1015) all_28_135 = all_14_6
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_13, all_28_129, e20, e22,
% 91.75/14.06 | simplifying with (179), (1010) gives:
% 91.75/14.06 | (1016) all_28_129 = all_14_13
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_9, all_28_126, e21, e22,
% 91.75/14.06 | simplifying with (180), (1009) gives:
% 91.75/14.06 | (1017) all_28_126 = all_14_9
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_6_2, all_28_123, e22, e22,
% 91.75/14.06 | simplifying with (39), (1007) gives:
% 91.75/14.06 | (1018) all_28_123 = all_6_2
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_1, all_28_120, e23, e22,
% 91.75/14.06 | simplifying with (182), (1008) gives:
% 91.75/14.06 | (1019) all_28_120 = all_14_1
% 91.75/14.06 |
% 91.75/14.06 | GROUND_INST: instantiating (29) with all_14_4, all_28_111, e22, e23,
% 91.75/14.06 | simplifying with (185), (1011) gives:
% 91.75/14.06 | (1020) all_28_111 = all_14_4
% 91.75/14.06 |
% 91.75/14.06 | BETA: splitting (210) gives:
% 91.75/14.06 |
% 91.75/14.06 | Case 1:
% 91.75/14.06 | |
% 91.75/14.06 | | (1021) all_16_7 = e13
% 91.75/14.06 | |
% 91.75/14.06 | | COMBINE_EQS: (740), (1021) imply:
% 91.75/14.06 | | (1022) all_12_13 = e13
% 91.75/14.06 | |
% 91.75/14.06 | | SIMP: (1022) implies:
% 91.75/14.06 | | (1023) all_12_13 = e13
% 91.75/14.06 | |
% 91.75/14.06 | | COMBINE_EQS: (686), (1023) imply:
% 91.75/14.06 | | (1024) all_22_10 = e13
% 91.75/14.06 | |
% 91.75/14.06 | | COMBINE_EQS: (640), (1023) imply:
% 91.75/14.06 | | (1025) all_26_29 = e13
% 91.75/14.06 | |
% 91.75/14.06 | | REDUCE: (62), (1023) imply:
% 91.75/14.06 | | (1026) ~ (all_12_14 = e13)
% 91.75/14.06 | |
% 91.75/14.06 | | SIMP: (1026) implies:
% 91.75/14.06 | | (1027) ~ (all_12_14 = e13)
% 91.75/14.06 | |
% 91.75/14.06 | | REDUCE: (865), (1023) imply:
% 91.75/14.06 | | (1028) ~ (e13 = e12)
% 91.75/14.06 | |
% 91.75/14.06 | | REDUCE: (868), (1023) imply:
% 91.75/14.06 | | (1029) ~ (e13 = e11)
% 91.75/14.06 | |
% 91.75/14.06 | | REDUCE: (877), (1023) imply:
% 91.75/14.06 | | (1030) h4(e13) = all_28_15
% 91.75/14.06 | |
% 91.75/14.06 | | BETA: splitting (206) gives:
% 91.75/14.06 | |
% 91.75/14.06 | | Case 1:
% 91.75/14.06 | | |
% 91.75/14.06 | | | (1031) all_16_11 = e13
% 91.75/14.06 | | |
% 91.75/14.06 | | | COMBINE_EQS: (742), (1031) imply:
% 91.75/14.06 | | | (1032) all_12_14 = e13
% 91.75/14.06 | | |
% 91.75/14.06 | | | REDUCE: (1027), (1032) imply:
% 91.75/14.06 | | | (1033) $false
% 91.75/14.06 | | |
% 91.75/14.06 | | | CLOSE: (1033) is inconsistent.
% 91.75/14.06 | | |
% 91.75/14.06 | | Case 2:
% 91.75/14.06 | | |
% 91.75/14.06 | | | (1034) ~ (all_16_11 = e13)
% 91.75/14.06 | | | (1035) all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 91.75/14.06 | | |
% 91.75/14.06 | | | BETA: splitting (1035) gives:
% 91.75/14.06 | | |
% 91.75/14.06 | | | Case 1:
% 91.75/14.06 | | | |
% 91.75/14.06 | | | | (1036) all_16_11 = e11
% 91.75/14.06 | | | |
% 91.75/14.06 | | | | COMBINE_EQS: (742), (1036) imply:
% 91.75/14.06 | | | | (1037) all_12_14 = e11
% 91.75/14.06 | | | |
% 91.75/14.06 | | | | REDUCE: (869), (1037) imply:
% 91.75/14.06 | | | | (1038) $false
% 91.75/14.06 | | | |
% 91.75/14.06 | | | | CLOSE: (1038) is inconsistent.
% 91.75/14.06 | | | |
% 91.75/14.06 | | | Case 2:
% 91.75/14.06 | | | |
% 91.75/14.06 | | | | (1039) all_16_11 = e12 | all_16_11 = e10
% 91.75/14.06 | | | |
% 91.75/14.06 | | | | BETA: splitting (1039) gives:
% 91.75/14.06 | | | |
% 91.75/14.06 | | | | Case 1:
% 91.75/14.06 | | | | |
% 91.75/14.06 | | | | | (1040) all_16_11 = e12
% 91.75/14.06 | | | | |
% 91.75/14.06 | | | | | COMBINE_EQS: (742), (1040) imply:
% 91.75/14.06 | | | | | (1041) all_12_14 = e12
% 91.75/14.06 | | | | |
% 91.75/14.06 | | | | | REDUCE: (867), (1041) imply:
% 91.75/14.06 | | | | | (1042) $false
% 91.75/14.06 | | | | |
% 91.75/14.06 | | | | | CLOSE: (1042) is inconsistent.
% 91.75/14.06 | | | | |
% 91.75/14.06 | | | | Case 2:
% 91.75/14.06 | | | | |
% 91.75/14.06 | | | | | (1043) all_16_11 = e10
% 91.75/14.06 | | | | |
% 91.75/14.06 | | | | | COMBINE_EQS: (742), (1043) imply:
% 91.75/14.06 | | | | | (1044) all_12_14 = e10
% 91.75/14.06 | | | | |
% 91.75/14.06 | | | | | COMBINE_EQS: (687), (1044) imply:
% 91.75/14.06 | | | | | (1045) all_22_11 = e10
% 91.75/14.06 | | | | |
% 92.54/14.06 | | | | | COMBINE_EQS: (650), (1044) imply:
% 92.54/14.06 | | | | | (1046) all_26_30 = e10
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | REDUCE: (91), (1044) imply:
% 92.54/14.06 | | | | | (1047) ~ (all_12_2 = e10)
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | REDUCE: (76), (1044) imply:
% 92.54/14.06 | | | | | (1048) ~ (all_12_6 = e10)
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | REDUCE: (65), (1044) imply:
% 92.54/14.06 | | | | | (1049) ~ (all_12_10 = e10)
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | REDUCE: (1027), (1044) imply:
% 92.54/14.06 | | | | | (1050) ~ (e13 = e10)
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | SIMP: (1050) implies:
% 92.54/14.06 | | | | | (1051) ~ (e13 = e10)
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | REDUCE: (867), (1044) imply:
% 92.54/14.06 | | | | | (1052) ~ (e12 = e10)
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | SIMP: (1052) implies:
% 92.54/14.06 | | | | | (1053) ~ (e12 = e10)
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | REDUCE: (881), (1044) imply:
% 92.54/14.06 | | | | | (1054) h4(e10) = all_28_23
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | REDUCE: (110), (1044) imply:
% 92.54/14.06 | | | | | (1055) op1(e11, e10) = e10
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | REDUCE: (961), (1044) imply:
% 92.54/14.06 | | | | | (1056) op1(e10, e10) = all_26_11
% 92.54/14.06 | | | | |
% 92.54/14.06 | | | | | GROUND_INST: instantiating (28) with e11, all_26_11, e10, e10,
% 92.54/14.06 | | | | | simplifying with (13), (1056) gives:
% 92.54/14.06 | | | | | (1057) all_26_11 = e11
% 92.54/14.06 | | | | |
% 92.54/14.07 | | | | | GROUND_INST: instantiating (27) with e23, all_28_23, e10, simplifying
% 92.54/14.07 | | | | | with (47), (1054) gives:
% 92.54/14.07 | | | | | (1058) all_28_23 = e23
% 92.54/14.07 | | | | |
% 92.54/14.07 | | | | | GROUND_INST: instantiating (27) with all_8_0, all_28_15, e13,
% 92.54/14.07 | | | | | simplifying with (50), (1030) gives:
% 92.54/14.07 | | | | | (1059) all_28_15 = all_8_0
% 92.54/14.07 | | | | |
% 92.54/14.07 | | | | | BETA: splitting (204) gives:
% 92.54/14.07 | | | | |
% 92.54/14.07 | | | | | Case 1:
% 92.54/14.07 | | | | | |
% 92.54/14.07 | | | | | | (1060) all_16_13 = e13
% 92.54/14.07 | | | | | |
% 92.54/14.07 | | | | | | COMBINE_EQS: (745), (1060) imply:
% 92.54/14.07 | | | | | | (1061) all_12_7 = e13
% 92.54/14.07 | | | | | |
% 92.54/14.07 | | | | | | REDUCE: (858), (1061) imply:
% 92.54/14.07 | | | | | | (1062) $false
% 92.54/14.07 | | | | | |
% 92.54/14.07 | | | | | | CLOSE: (1062) is inconsistent.
% 92.54/14.07 | | | | | |
% 92.54/14.07 | | | | | Case 2:
% 92.54/14.07 | | | | | |
% 92.54/14.07 | | | | | | (1063) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 92.54/14.07 | | | | | |
% 92.54/14.07 | | | | | | BETA: splitting (213) gives:
% 92.54/14.07 | | | | | |
% 92.54/14.07 | | | | | | Case 1:
% 92.54/14.07 | | | | | | |
% 92.54/14.07 | | | | | | | (1064) all_16_2 = e13
% 92.54/14.07 | | | | | | |
% 92.54/14.07 | | | | | | | COMBINE_EQS: (731), (1064) imply:
% 92.54/14.07 | | | | | | | (1065) all_12_8 = e13
% 92.54/14.07 | | | | | | |
% 92.54/14.07 | | | | | | | REDUCE: (860), (1065) imply:
% 92.54/14.07 | | | | | | | (1066) $false
% 92.54/14.07 | | | | | | |
% 92.54/14.07 | | | | | | | CLOSE: (1066) is inconsistent.
% 92.54/14.07 | | | | | | |
% 92.54/14.07 | | | | | | Case 2:
% 92.54/14.07 | | | | | | |
% 92.54/14.07 | | | | | | | (1067) ~ (all_16_2 = e13)
% 92.54/14.07 | | | | | | | (1068) all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10
% 92.54/14.07 | | | | | | |
% 92.54/14.07 | | | | | | | BETA: splitting (207) gives:
% 92.54/14.07 | | | | | | |
% 92.54/14.07 | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | |
% 92.54/14.07 | | | | | | | | (1069) all_16_10 = e13
% 92.54/14.07 | | | | | | | |
% 92.54/14.07 | | | | | | | | COMBINE_EQS: (737), (1069) imply:
% 92.54/14.07 | | | | | | | | (1070) all_12_10 = e13
% 92.54/14.07 | | | | | | | |
% 92.54/14.07 | | | | | | | | REDUCE: (863), (1070) imply:
% 92.54/14.07 | | | | | | | | (1071) $false
% 92.54/14.07 | | | | | | | |
% 92.54/14.07 | | | | | | | | CLOSE: (1071) is inconsistent.
% 92.54/14.07 | | | | | | | |
% 92.54/14.07 | | | | | | | Case 2:
% 92.54/14.07 | | | | | | | |
% 92.54/14.07 | | | | | | | | (1072) ~ (all_16_10 = e13)
% 92.54/14.07 | | | | | | | | (1073) all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10
% 92.54/14.07 | | | | | | | |
% 92.54/14.07 | | | | | | | | BETA: splitting (238) gives:
% 92.54/14.07 | | | | | | | |
% 92.54/14.07 | | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | (1074) all_18_7 = e23
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | COMBINE_EQS: (768), (1074) imply:
% 92.54/14.07 | | | | | | | | | (1075) all_14_13 = e23
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | COMBINE_EQS: (719), (1075) imply:
% 92.54/14.07 | | | | | | | | | (1076) all_20_10 = e23
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | COMBINE_EQS: (584), (1075) imply:
% 92.54/14.07 | | | | | | | | | (1077) all_24_29 = e23
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | REDUCE: (160), (1075) imply:
% 92.54/14.07 | | | | | | | | | (1078) ~ (all_14_1 = e23)
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | REDUCE: (125), (1075) imply:
% 92.54/14.07 | | | | | | | | | (1079) ~ (all_14_14 = e23)
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | SIMP: (1079) implies:
% 92.54/14.07 | | | | | | | | | (1080) ~ (all_14_14 = e23)
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | REDUCE: (179), (1075) imply:
% 92.54/14.07 | | | | | | | | | (1081) op2(e22, e20) = e23
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | REDUCE: (947), (1075) imply:
% 92.54/14.07 | | | | | | | | | (1082) op2(e20, e23) = all_24_7
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | BETA: splitting (262) gives:
% 92.54/14.07 | | | | | | | | |
% 92.54/14.07 | | | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | (1083) all_20_15 = e20
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | COMBINE_EQS: (723), (1083) imply:
% 92.54/14.07 | | | | | | | | | | (1084) e21 = e20
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | REDUCE: (7), (1084) imply:
% 92.54/14.07 | | | | | | | | | | (1085) $false
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | CLOSE: (1085) is inconsistent.
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | Case 2:
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | (1086) (all_20_9 = e20 | all_20_10 = e20 | all_20_11 =
% 92.54/14.07 | | | | | | | | | | e20) & (all_20_12 = e20 | all_20_13 = e20 |
% 92.54/14.07 | | | | | | | | | | all_20_14 = e20)
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | ALPHA: (1086) implies:
% 92.54/14.07 | | | | | | | | | | (1087) all_20_12 = e20 | all_20_13 = e20 | all_20_14 =
% 92.54/14.07 | | | | | | | | | | e20
% 92.54/14.07 | | | | | | | | | | (1088) all_20_9 = e20 | all_20_10 = e20 | all_20_11 = e20
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | BETA: splitting (1088) gives:
% 92.54/14.07 | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | (1089) all_20_9 = e20
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | COMBINE_EQS: (717), (1089) imply:
% 92.54/14.07 | | | | | | | | | | | (1090) e22 = e20
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | SIMP: (1090) implies:
% 92.54/14.07 | | | | | | | | | | | (1091) e22 = e20
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | REDUCE: (8), (1091) imply:
% 92.54/14.07 | | | | | | | | | | | (1092) $false
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | CLOSE: (1092) is inconsistent.
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | Case 2:
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | (1093) all_20_10 = e20 | all_20_11 = e20
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | BETA: splitting (1093) gives:
% 92.54/14.07 | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | (1094) all_20_10 = e20
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 92.54/14.07 | | | | | | | | | | | | (1080), (1094) are inconsistent by sub-proof #108.
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | Case 2:
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | (1095) all_20_11 = e20
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | COMBINE_EQS: (720), (1095) imply:
% 92.54/14.07 | | | | | | | | | | | | (1096) all_14_14 = e20
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | SIMP: (1096) implies:
% 92.54/14.07 | | | | | | | | | | | | (1097) all_14_14 = e20
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | COMBINE_EQS: (571), (1097) imply:
% 92.54/14.07 | | | | | | | | | | | | (1098) all_24_30 = e20
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | REDUCE: (156), (1097) imply:
% 92.54/14.07 | | | | | | | | | | | | (1099) ~ (all_14_2 = e20)
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | REDUCE: (141), (1097) imply:
% 92.54/14.07 | | | | | | | | | | | | (1100) ~ (all_14_6 = e20)
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | REDUCE: (845), (1097) imply:
% 92.54/14.07 | | | | | | | | | | | | (1101) ~ (all_4_2 = e20)
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | SIMP: (1101) implies:
% 92.54/14.07 | | | | | | | | | | | | (1102) ~ (all_4_2 = e20)
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | REDUCE: (1080), (1097) imply:
% 92.54/14.07 | | | | | | | | | | | | (1103) ~ (e23 = e20)
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | REDUCE: (850), (1097) imply:
% 92.54/14.07 | | | | | | | | | | | | (1104) ~ (e22 = e20)
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | REDUCE: (175), (1097) imply:
% 92.54/14.07 | | | | | | | | | | | | (1105) op2(e21, e20) = e20
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | REDUCE: (948), (1097) imply:
% 92.54/14.07 | | | | | | | | | | | | (1106) op2(e20, e20) = all_24_11
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_24_11, e20, e20,
% 92.54/14.07 | | | | | | | | | | | | simplifying with (16), (1106) gives:
% 92.54/14.07 | | | | | | | | | | | | (1107) all_24_11 = e21
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_3, all_24_7, e23,
% 92.54/14.07 | | | | | | | | | | | | e20, simplifying with (174), (1082) gives:
% 92.54/14.07 | | | | | | | | | | | | (1108) all_24_7 = all_14_3
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | BETA: splitting (242) gives:
% 92.54/14.07 | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | (1109) all_18_2 = e23
% 92.54/14.07 | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | COMBINE_EQS: (758), (1109) imply:
% 92.54/14.07 | | | | | | | | | | | | | (1110) all_14_8 = e23
% 92.54/14.07 | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | REDUCE: (839), (1110) imply:
% 92.54/14.07 | | | | | | | | | | | | | (1111) $false
% 92.54/14.07 | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | CLOSE: (1111) is inconsistent.
% 92.54/14.07 | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | Case 2:
% 92.54/14.07 | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | (1112) ~ (all_18_2 = e23)
% 92.54/14.07 | | | | | | | | | | | | | (1113) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 92.54/14.07 | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | BETA: splitting (236) gives:
% 92.54/14.07 | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | (1114) all_18_10 = e23
% 92.54/14.07 | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | COMBINE_EQS: (572), (1114) imply:
% 92.54/14.07 | | | | | | | | | | | | | | (1115) all_4_2 = e23
% 92.54/14.07 | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | REDUCE: (843), (1115) imply:
% 92.54/14.07 | | | | | | | | | | | | | | (1116) $false
% 92.54/14.07 | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | CLOSE: (1116) is inconsistent.
% 92.54/14.07 | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | Case 2:
% 92.54/14.07 | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | (1117) ~ (all_18_10 = e23)
% 92.54/14.07 | | | | | | | | | | | | | | (1118) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 92.54/14.07 | | | | | | | | | | | | | | e20
% 92.54/14.07 | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 92.54/14.07 | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | (1119) all_18_13 = e23
% 92.54/14.07 | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1119) imply:
% 92.54/14.07 | | | | | | | | | | | | | | | (1120) all_14_7 = e23
% 92.54/14.07 | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | REDUCE: (836), (1120) imply:
% 92.54/14.07 | | | | | | | | | | | | | | | (1121) $false
% 92.54/14.07 | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | CLOSE: (1121) is inconsistent.
% 92.54/14.07 | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | Case 2:
% 92.54/14.07 | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | (1122) all_18_13 = e22 | all_18_13 = e21 | all_18_13 =
% 92.54/14.07 | | | | | | | | | | | | | | | e20
% 92.54/14.07 | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 92.54/14.07 | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | Case 1:
% 92.54/14.07 | | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | | (1123) all_18_12 = e23
% 92.54/14.07 | | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (772), (1123) imply:
% 92.54/14.07 | | | | | | | | | | | | | | | | (1124) all_14_3 = e23
% 92.54/14.07 | | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | | REDUCE: (823), (1124) imply:
% 92.54/14.07 | | | | | | | | | | | | | | | | (1125) $false
% 92.54/14.07 | | | | | | | | | | | | | | | |
% 92.54/14.07 | | | | | | | | | | | | | | | | CLOSE: (1125) is inconsistent.
% 92.54/14.07 | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | Case 2:
% 92.54/14.08 | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | (1126) all_18_12 = e22 | all_18_12 = e21 | all_18_12 =
% 92.54/14.08 | | | | | | | | | | | | | | | | e20
% 92.54/14.08 | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 92.54/14.08 | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1127) all_16_0 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (1127) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1128) all_12_0 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | SIMP: (1128) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1129) all_12_0 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1129) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1130) all_22_0 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | REDUCE: (105), (1129) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1131) ~ (all_12_1 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | SIMP: (1131) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1132) ~ (all_12_1 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | REDUCE: (104), (1129) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1133) ~ (all_12_2 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | SIMP: (1133) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1134) ~ (all_12_2 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | REDUCE: (103), (1129) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1135) ~ (all_12_3 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | REDUCE: (101), (1129) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | (1136) ~ (all_12_8 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 92.54/14.08 | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | (1137) all_22_6 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (1137) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | (1138) all_12_2 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | SIMP: (1138) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | (1139) all_12_2 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | REDUCE: (1134), (1139) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | (1140) $false
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | CLOSE: (1140) is inconsistent.
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | (1141) all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | BETA: splitting (1141) gives:
% 92.54/14.08 | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | (1142) all_22_7 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1142) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | (1143) all_12_6 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | SIMP: (1143) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | (1144) all_12_6 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (1144) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | (1145) all_26_21 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | REDUCE: (86), (1144) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | (1146) ~ (all_12_4 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | REDUCE: (82), (1144) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | (1147) ~ (all_12_5 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1144) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | (1148) ~ (all_12_7 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | REDUCE: (77), (1144) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | (1149) ~ (all_12_10 = e13)
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | (1150) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | (e13 = e12)) | (all_26_20 = e13 & all_26_22 =
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | e13 & ~ (all_26_16 = e13) & ~ (all_26_17 =
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_25 = e10) & ~ (e13 = e11))
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e11 & all_26_22 = e11 & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10) & ~ (e13 = e11)) | (all_26_21
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | = e12 & all_26_23 = e12 & ~ (all_26_18 = e13) &
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | ~ (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1150) gives:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | (1151) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | (e13 = e12))
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1151) gives:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1152) all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25 =
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1152) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1153) all_26_18 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (1153) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1154) all_12_4 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1154) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1155) all_12_4 = e13
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1146), (1155) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1156) $false
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1156) is inconsistent.
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1157) all_26_17 = e12 & all_26_18 = e12 & ~ (all_26_19
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_21 = e11) & ~ (all_26_26 =
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1157) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1158) all_26_18 = e12
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (1158) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1159) all_12_4 = e12
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1159) implies:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1160) all_12_4 = e12
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (1160) imply:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1161) $false
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1161) is inconsistent.
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | (1162) (all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_20 = e11 &
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | all_26_22 = e11 & ~ (all_26_23 = e12) & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (all_26_27 = e10) & ~
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | (e13 = e11)) | (all_26_21 = e12 & all_26_23 =
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_26 = e10) & ~ (e12 = e11))
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1162) gives:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | (1163) all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25 =
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (628), (860), (1163) are inconsistent by sub-proof
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | | #107.
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.08 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | (1164) (all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_21 = e12 &
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12 & ~ (all_26_18 = e13) & ~
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1164) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1165) all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1165) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1166) all_26_22 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1167) all_26_20 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1168) ~ (all_26_23 = e12)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (1167) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1169) all_12_2 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (1166) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1170) all_12_8 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1170) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1171) all_12_8 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (1169) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1172) all_22_6 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (1171) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1173) all_22_4 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (1168) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1174) ~ (all_12_9 = e12)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (1169) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1175) ~ (all_12_1 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1171) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1176) ~ (all_12_4 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1171) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1177) ~ (all_12_9 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1177) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1178) ~ (all_12_9 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (1171) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1179) ~ (all_12_10 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1179) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1180) ~ (all_12_10 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (1171) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1181) ~ (e13 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (1171) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1182) ~ (e12 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1182) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1183) ~ (e12 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (1169) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1184) op1(e13, e11) = all_26_8
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1171) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1185) op1(e13, e11) = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (956), (1171) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | (1186) op1(e11, e11) = all_26_2
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_16_1 = e13
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (1187) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_12_4 = e13
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1146), (1188) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | (1189) $false
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1189) is inconsistent.
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | (1190) ~ (all_16_1 = e13)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1191) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_16_1 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (1192) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_12_4 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1176), (1193) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | (1194) $false
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1194) is inconsistent.
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_16_1 = e12 | all_16_1 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1195) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_16_1 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (1196) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_12_4 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (1197) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) $false
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1198) is inconsistent.
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_16_1 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (1199) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_12_4 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (1200) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_26_18 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (1200) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) ~ (all_12_5 = e10)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1202) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) ~ (all_12_5 = e10)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1200) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) ~ (all_12_7 = e10)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1204) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) ~ (all_12_7 = e10)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_22_4 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1173), (1206) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) e12 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1183), (1207) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) $false
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1208) is inconsistent.
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_22_2 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (1175), (1210) are inconsistent by
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1211) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_22_3 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1212) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_12_5 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1213) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_12_5 = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1214) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) ~ (all_12_7 = e11)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1203), (1214) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) ~ (e11 = e10)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1214) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) op1(e12, e12) = e11
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_22_4 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1173), (1216), (1218) are inconsistent by
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105.
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) ~ (all_22_4 = e10)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_22_5 = e10 | all_22_8 = e10 | all_22_14 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1209) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_22_5 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (674), (1221) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_12_9 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1222) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_12_9 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1174), (1223) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) $false
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1224) is inconsistent.
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) ~ (all_22_5 = e12)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_22_8 = e12 | all_22_14 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_22_15 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (796), (1216), (1227) are inconsistent by
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #104.
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 =
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e10)
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1228) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_22_12 = e10 | all_22_13 = e10 | all_22_14 =
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1229) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_22_12 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (1230) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_12_3 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1231) implies:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_12_3 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (1232) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_26_25 = e10
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_22_0 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1130), (1234) imply:
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) e13 = e12
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1235) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) e13 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1028), (1236) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) $false
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1237) is inconsistent.
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1063) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_16_13 = e11
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1239) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_12_7 = e11
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1240) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_12_7 = e11
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1241) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) $false
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1242) is inconsistent.
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_16_13 = e12 | all_16_13 = e10
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1243) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_16_13 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1244) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_12_7 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1245) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_12_7 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (1246) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_26_26 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (1246) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) ~ (e13 = e12)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (955), (1246) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) op1(e12, e12) = all_26_13
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1220) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_22_5 = e10
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (674), (1250) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_12_9 = e10
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1251) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_12_9 = e10
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1252) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_26_23 = e10
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (1252) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) ~ (all_12_1 = e10)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1252) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) ~ (all_12_10 = e10)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1178), (1252) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) ~ (e11 = e10)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (957), (1252) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) op1(e11, e10) = all_26_6
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1073) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_16_10 = e11
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (737), (1180), (1258) are inconsistent by
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #103.
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) ~ (all_16_10 = e11)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_16_10 = e12 | all_16_10 = e10
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1260) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_16_10 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (1261) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_12_10 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1262) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_12_10 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1263) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_22_8 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1263) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) op1(e11, e11) = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1238) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_22_2 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1266) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_12_1 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1267) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_12_1 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1268) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_26_17 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e10, all_26_6, e10, e11,
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1055), (1257) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_26_6 = e10
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_26_2, e11, e11,
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1186), (1265) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_26_2 = e12
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_26_13, e12, e12,
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1217), (1249) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_26_13 = e11
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_26_8, e11, e13,
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1184), (1185) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_26_8 = e11
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) (all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)) | (all_26_2 = e11 &
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_20 = all_26_22 & ~ (all_26_22 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_3 = e10 & all_26_25 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 & ~ (all_26_28 = all_26_31)) |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)) | (all_26_6 = e11 &
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_23 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_7 = e10 & all_26_26 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 & ~ (all_26_29 = all_26_31))
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1274) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) (all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)) | (all_26_2 = e11 &
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_20 = all_26_22 & ~ (all_26_22 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_3 = e10 & all_26_25 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 & ~ (all_26_28 = all_26_31))
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1275) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1276) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_26_17 = all_26_18
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (1028), (1053), (1201), (1226), (1264),
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269), (1277) are inconsistent by sub-proof #100.
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) (all_26_2 = e11 & all_26_20 = all_26_22 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = all_26_24)) | (all_26_3 = e10 &
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_25 = all_26_28 & ~ (all_26_28 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1278) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_26_2 = e11 & all_26_20 = all_26_22 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = all_26_24)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1279) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_26_2 = e11
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1271), (1280) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) e12 = e11
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1183), (1281) imply:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) $false
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1282) is inconsistent.
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_26_3 = e10 & all_26_25 = all_26_28 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = all_26_31)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1283) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_26_25 = all_26_28
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (629), (1028), (1053), (1226), (1233),
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264), (1284) are inconsistent by sub-proof #99.
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) (all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)) | (all_26_6 = e11 &
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_23 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_7 = e10 & all_26_26 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 & ~ (all_26_29 = all_26_31))
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1286) implies:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_26_17 = all_26_18
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (1028), (1053), (1201), (1226), (1264),
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269), (1287) are inconsistent by sub-proof #100.
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) (all_26_6 = e11 & all_26_21 = all_26_23 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = all_26_24)) | (all_26_7 = e10 &
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_29 =
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1288) gives:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_26_6 = e11 & all_26_21 = all_26_23 & ~
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = all_26_24)
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1289) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_26_6 = e11
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1270), (1290) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) e11 = e10
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1216), (1291) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) $false
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1292) is inconsistent.
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_26_7 = e10 & all_26_26 = all_26_29 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = all_26_31)
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1293) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_26_26 = all_26_29
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1247), (1294) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_26_29 = e12
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1025), (1295) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) e13 = e12
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1028), (1296) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) $false
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1297) is inconsistent.
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) (all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)) | (all_26_9 = e12 &
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_19 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23)) | (all_26_11 = e10 & all_26_27 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_30 = all_26_31)) |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)) | (all_26_13 = e12 &
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_19 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29)) | (all_26_14 = e11 & all_26_27 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_24 = all_26_30))
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1298) gives:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) (all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)) | (all_26_9 = e12 &
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_19 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23)) | (all_26_11 = e10 & all_26_27 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_30 = all_26_31))
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1299) gives:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1300) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_26_8 = e13
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1273), (1301) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) e13 = e11
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1029), (1302) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) $false
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1303) is inconsistent.
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) (all_26_9 = e12 & all_26_21 = all_26_23 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_23)) | (all_26_11 = e10 &
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = all_26_30 & ~ (all_26_30 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1304) gives:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_26_9 = e12 & all_26_21 = all_26_23 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_23)
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1305) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_26_21 = all_26_23
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1145), (1306) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_26_23 = e13
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1253), (1307) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) e13 = e10
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1308) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) e13 = e10
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1051), (1309) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) $false
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1310) is inconsistent.
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_26_11 = e10 & all_26_27 = all_26_30 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = all_26_31)
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1311) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_26_11 = e10
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1057), (1312) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) e11 = e10
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1313) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) e11 = e10
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1216), (1314) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) $false
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1315) is inconsistent.
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) (all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)) | (all_26_13 = e12 &
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_19 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29)) | (all_26_14 = e11 & all_26_27 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_24 = all_26_30))
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1316) gives:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1317) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_26_25 = all_26_28
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (629), (1028), (1053), (1226), (1233),
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264), (1318) are inconsistent by sub-proof #99.
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) (all_26_13 = e12 & all_26_26 = all_26_29 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_29)) | (all_26_14 = e11 &
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = all_26_30 & ~ (all_26_24 =
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30))
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1319) gives:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_26_13 = e12 & all_26_26 = all_26_29 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_29)
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1320) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_26_13 = e12
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1272), (1321) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) e12 = e11
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1183), (1322) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) $false
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1323) is inconsistent.
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_26_14 = e11 & all_26_27 = all_26_30 & ~
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = all_26_30)
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1324) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_26_27 = all_26_30
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (799), (1325) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_26_30 = e13
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1046), (1326) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) e13 = e10
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1327) implies:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) e13 = e10
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1051), (1328) imply:
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) $false
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1329) is inconsistent.
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_22_6 = e12 | all_22_12 = e12
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1330) gives:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_22_6 = e12
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1172), (1331) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) e12 = e11
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1183), (1332) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) $false
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1333) is inconsistent.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_22_12 = e12
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1230), (1334) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) e12 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1264), (1335) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_22_8 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (1028), (1053), (1226), (1336) are
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_16_10 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (1337) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_12_10 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1338) implies:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_12_10 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1339) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_22_8 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (1028), (1053), (1226), (1340) are
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_22_8 = e10 | all_22_14 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1341) gives:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_22_8 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (1028), (1053), (1226), (1342) are
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_22_14 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (1051), (1343) are inconsistent by
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_16_13 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1344) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_12_7 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1345) implies:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_12_7 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1205), (1346) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) $false
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1347) is inconsistent.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_22_13 = e10 | all_22_14 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_22_13 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1349) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_12_7 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1350) implies:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_12_7 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1205), (1351) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) $false
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1352) is inconsistent.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_22_14 = e10
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (1051), (1353) are inconsistent by
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_22_5 = e11 | all_22_10 = e11
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1354) gives:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_22_5 = e11
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (674), (1355) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_12_9 = e11
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1356) implies:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_12_9 = e11
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1178), (1357) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) $false
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1358) is inconsistent.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_22_10 = e11
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1024), (1359) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) e13 = e11
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1360) implies:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) e13 = e11
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1029), (1361) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) $false
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1362) is inconsistent.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | (1363) all_26_21 = e12 & all_26_23 = e12 & ~ (all_26_18
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_26 =
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1363) implies:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | (1364) all_26_21 = e12
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1145), (1364) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | (1365) e13 = e12
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1028), (1365) imply:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | (1366) $false
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1366) is inconsistent.
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.12 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1367) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (e13 = e10)) | (all_26_26 = e12 & all_26_29 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_21 = e11) & ~ (e12 = e10))
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e11 & all_26_30 = e11 & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13) & ~ (all_26_23 = e12) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (e11 = e10)) | ( ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (all_26_26 = e10 & all_26_29 = e10) |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10 & all_26_30 = e10)))
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1367) gives:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (1368) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (e13 = e10))
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1368) gives:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | (1369) all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1369) implies:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | (1370) all_26_21 = e11
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1145), (1370) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | (1371) e13 = e11
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1029), (1371) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | (1372) $false
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1372) is inconsistent.
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | (1373) all_26_25 = e13 & all_26_28 = e13 & ~ (all_26_16
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_20 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e13 = e10)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (1028), (1373) are inconsistent by
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (1374) (all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e12 = e10)) | (all_26_27 = e11 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | all_26_30 = e11 & ~ (all_26_22 = e13) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (e11 = e10)) | ( ~ (all_26_28 = e13) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12) & ~ (all_26_30 = e11) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10) & ((all_26_25 = e10 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10) | (all_26_26 = e10 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1374) gives:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | (1375) all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e12 = e10)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1025), (1028), (1375) are inconsistent by
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | (1376) (all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e11 = e10)) | ( ~ (all_26_28 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_29 = e12) & ~ (all_26_30 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_31 = e10) & ((all_26_25 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e10) | (all_26_26 = e10 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1376) gives:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | (1377) all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e11 = e10)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1046), (1377) are inconsistent by sub-proof #95.
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | (1378) ~ (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) | (all_26_26
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | = e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10))
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1378) implies:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | (1379) (all_26_25 = e10 & all_26_28 = e10) | (all_26_26 =
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (799), (1025), (1051), (1053), (1379) are
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1380) all_22_8 = e13 | all_22_11 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (863), (1045), (1051), (1380) are
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.13 | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | End of split
% 92.54/14.13 | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.13 | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | (1381) ~ (all_16_0 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | | (1382) all_16_0 = e12 | all_16_0 = e11 | all_16_0 = e10
% 92.54/14.13 | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | REDUCE: (725), (1381) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | (1383) ~ (all_12_0 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 92.54/14.13 | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.13 | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | (1384) all_22_0 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (660), (1383), (1384) are inconsistent by
% 92.54/14.13 | | | | | | | | | | | | | | | | | | sub-proof #92.
% 92.54/14.13 | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.13 | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | (1385) all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | BETA: splitting (1385) gives:
% 92.54/14.13 | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1386) all_22_1 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (1386) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1387) all_12_4 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | SIMP: (1387) implies:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1388) all_12_4 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (1388) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1389) all_26_18 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | REDUCE: (86), (1388) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1390) ~ (all_12_6 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | SIMP: (1390) implies:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1391) ~ (all_12_6 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1388) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1392) ~ (all_12_7 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1388) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1393) ~ (all_12_8 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | REDUCE: (871), (1388) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1394) h4(e13) = all_28_3
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | REDUCE: (953), (1388) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | (1395) op1(e12, e13) = all_26_1
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1396) all_22_6 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (1396) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1397) all_12_2 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | SIMP: (1397) implies:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1398) all_12_2 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (1398) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1399) all_26_20 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (963), (1398) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1400) all_26_14 = e13
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (1398) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1401) ~ (all_12_1 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1398) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1402) ~ (all_12_3 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1398) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1403) ~ (all_12_10 = e13)
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (878), (1398) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1404) h4(e13) = all_28_17
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (1398) imply:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | (1405) op1(e13, e13) = all_26_8
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | |
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.13 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (1406) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (e13 = e12)) | (all_26_20 = e13 & all_26_22 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | e13 & ~ (all_26_16 = e13) & ~ (all_26_17 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_25 = e10) & ~ (e13 = e11))
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e11 & all_26_22 = e11 & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10) & ~ (e13 = e11)) | (all_26_21
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_23 = e12 & ~ (all_26_18 = e13) &
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | ~ (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1406) gives:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (1407) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (e13 = e12))
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1407) gives:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1408) all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1408) implies:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1409) all_26_17 = e13
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1409) imply:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1410) all_12_1 = e13
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1401), (1410) imply:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1411) $false
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1411) is inconsistent.
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1412) all_26_17 = e12 & all_26_18 = e12 & ~ (all_26_19
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_21 = e11) & ~ (all_26_26 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1412) implies:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1413) all_26_18 = e12
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1389), (1413) imply:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1414) e13 = e12
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1414) implies:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1415) e13 = e12
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1028), (1415) imply:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1416) $false
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1416) is inconsistent.
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (1417) (all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_20 = e11 &
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | all_26_22 = e11 & ~ (all_26_23 = e12) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (all_26_27 = e10) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (e13 = e11)) | (all_26_21 = e12 & all_26_23 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_26 = e10) & ~ (e12 = e11))
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1417) gives:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1418) all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (628), (860), (1418) are inconsistent by sub-proof
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | #107.
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1419) (all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_21 = e12 &
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12 & ~ (all_26_18 = e13) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1419) gives:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1420) implies:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_26_20 = e11
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1399), (1421) imply:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | (1422) e13 = e11
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1029), (1422) imply:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | (1423) $false
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1423) is inconsistent.
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_26_21 = e12 & all_26_23 = e12 & ~ (all_26_18
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_26 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1424) implies:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | (1425) ~ (all_26_18 = e13)
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1389), (1425) imply:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | (1426) $false
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1426) is inconsistent.
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (1427) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (e13 = e10)) | (all_26_26 = e12 & all_26_29 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_21 = e11) & ~ (e12 = e10))
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e11 & all_26_30 = e11 & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13) & ~ (all_26_23 = e12) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (e11 = e10)) | ( ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e10 & all_26_29 = e10) |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10 & all_26_30 = e10)))
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (1428) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | (e13 = e10))
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1428) gives:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | |
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.54/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1429) all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1429) implies:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1430) all_26_23 = e11
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1431) all_26_21 = e11
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1432) ~ (all_26_22 = e13)
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (1431) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1433) all_12_6 = e11
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1430) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1434) all_12_9 = e11
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1434) implies:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1435) all_12_9 = e11
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1433) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1436) all_22_7 = e11
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (674), (1435) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1437) all_22_5 = e11
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1433) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1438) ~ (all_12_7 = e11)
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1435) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1439) ~ (all_12_8 = e11)
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1435) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1440) ~ (all_12_10 = e11)
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1440) implies:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1441) ~ (all_12_10 = e11)
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (1433) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1442) h4(e11) = all_28_19
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (876), (1435) imply:
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | (1443) h4(e11) = all_28_13
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (954), (1433) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | (1444) op1(e12, e11) = all_26_9
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (1435) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | (1445) op1(e12, e11) = e11
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (957), (1435) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | (1446) op1(e11, e11) = all_26_6
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1073) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_16_10 = e11
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (737), (1441), (1447) are inconsistent by
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #103.
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_16_10 = e12 | all_16_10 = e10
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1448) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_16_10 = e12
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (1449) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_12_10 = e12
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1450) implies:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_12_10 = e12
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (863), (1451) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (e13 = e12)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (880), (1451) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1453) h4(e12) = all_28_21
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1451) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1454) op1(e11, e11) = e12
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_22_4 = e10
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (1455) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_12_8 = e10
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1456) implies:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_12_8 = e10
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (1457) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_26_22 = e10
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1457) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) ~ (all_12_0 = e10)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (1457) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) h4(e10) = all_28_5
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (956), (1457) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) op1(e11, e10) = all_26_2
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_22_0 = e11
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1462) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_12_0 = e11
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1463) implies:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_12_0 = e11
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (1464) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) ~ (all_12_3 = e11)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (1464) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) ~ (e12 = e11)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1466) implies:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) ~ (e12 = e11)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1459), (1464) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) ~ (e11 = e10)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1464) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) h4(e11) = all_28_1
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1464) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) op1(e13, e13) = e11
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e10, all_26_2, e10, e11,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1055), (1461) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_26_2 = e10
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_26_6, e11, e11,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1446), (1454) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_26_6 = e12
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_26_9, e11, e12,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1444), (1445) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_26_9 = e11
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_1, all_26_1, e13,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e12, simplifying with (117), (1395) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_26_1 = all_12_1
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_26_8, e13, e13,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1405), (1470) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_26_8 = e11
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_5, e10,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (47), (1460) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_28_5 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_8_2, all_28_1, e11,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (48), (1469) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_28_1 = all_8_2
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_13, all_28_1, e11,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1443), (1469) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_28_1 = all_28_13
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_19, all_28_1, e11,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1442), (1469) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_28_1 = all_28_19
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_8_1, all_28_21, e12,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (49), (1453) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_28_21 = all_8_1
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_8_0, all_28_3, e13,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (1394) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_28_3 = all_8_0
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_17, all_28_3, e13,
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1394), (1404) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_28_3 = all_28_17
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1477), (1478) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_28_13 = all_8_2
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1478), (1479) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_28_13 = all_28_19
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1481), (1482) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_28_17 = all_8_0
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1483), (1484) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_28_19 = all_8_2
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_20_0 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1487) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_8_2 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1488) implies:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_8_2 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (1489) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) ~ (all_14_2 = e23)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_20_6 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (1491) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_14_2 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1490), (1492) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) $false
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1493) is inconsistent.
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (29), (31), (39), (143), (149),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (150), (151), (159), (161), (163), (184), (241),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (269), (274), (276), (277), (357), (359),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (565), (568), (572), (578), (581), (587),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589), (594), (598), (601), (604), (695), (697),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702), (705), (706), (712), (715), (753), (755),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772), (774), (795), (821), (825), (826), (828),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830), (837), (838), (839), (841), (843), (846),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902), (913), (936), (941), (942), (943), (1077),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078), (1095), (1098), (1099), (1100), (1102),
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105), (1107), (1118), (1122), (1126), (1494) are
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1495) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_20_1 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1496) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_14_4 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (1497) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_24_18 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1497) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) ~ (all_14_7 = e23)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1497) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) ~ (all_14_8 = e23)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (1497) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) ~ (all_6_2 = e23)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1501) implies:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) ~ (all_6_2 = e23)
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (1497) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) op2(e23, e22) = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (1497) imply:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) op2(e22, e23) = all_24_1
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_20_6 = e23
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (1505) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_14_2 = e23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (1506) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) all_24_20 = e23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (972), (1506) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_24_14 = e23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (1506) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) ~ (all_14_3 = e23)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (1506) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) ~ (all_8_2 = e23)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1510) implies:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) ~ (all_8_2 = e23)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1506) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) ~ (all_4_2 = e23)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (936), (1506) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) op2(e23, e23) = all_24_8
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (1506) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) op2(e21, e23) = e23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e22)) | (all_24_17 = e22 &
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e22)) | (all_24_20 = e23 & all_24_22 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & ~ (all_24_16 = e23) & ~ (all_24_17 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_25 = e20) & ~ (e23 = e21))
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_20 = e21 & all_24_22 = e21 & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e20) & ~ (e23 = e21)) | (all_24_21
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) &
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_19 = e22) & ~ (all_24_26 = e20) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e22 = e21))
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1515) gives:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e22)) | (all_24_17 = e22 &
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e22))
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1516) gives:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e22)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1517) implies:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_24_17 = e23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (1518) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_14_1 = e23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1519) implies:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) all_14_1 = e23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1078), (1520) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) $false
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1521) is inconsistent.
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_21 = e21) & ~ (all_24_26 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e22)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1498), (1522) are inconsistent by sub-proof #72.
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_25
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e21)) | (all_24_20 = e21 &
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e21)) | (all_24_21 = e22 & all_24_23 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & ~ (all_24_18 = e23) & ~ (all_24_19 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_26 = e20) & ~ (e22 = e21))
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1523) gives:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_25 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e21)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (601), (839), (1524) are inconsistent by sub-proof
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #91.
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_24 = e21) & ~ (all_24_27
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e21)) | (all_24_21 = e22 &
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e22 = e21))
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1525) gives:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_24 = e21) & ~ (all_24_27 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e21)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1526) implies:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_24_20 = e21
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1507), (1527) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) e23 = e21
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (1528) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) $false
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1529) is inconsistent.
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_26 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e22 = e21)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1530) implies:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) ~ (all_24_18 = e23)
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1498), (1531) imply:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) $false
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1532) is inconsistent.
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e22 = e21)) | (all_24_25 = e23 &
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e20)) | (all_24_26 = e22 & all_24_29 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & ~ (all_24_18 = e23) & ~ (all_24_19 =
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_21 = e21) & ~ (e22 = e20))
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e21 & all_24_30 = e21 & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23) & ~ (all_24_23 = e22) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23) & ~ (all_24_29 = e22) & ~
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21) & ~ (all_24_31 = e20) &
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_24_25 = e20 & all_24_28 = e20) |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e20 & all_24_29 = e20) |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e20 & all_24_30 = e20)))
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1533) gives:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e22 = e21)) | (all_24_25 = e23 &
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e20))
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1534) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27 =
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e22 = e21)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1535) implies:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) all_24_23 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_24_21 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) ~ (all_24_22 = e23)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (1537) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_14_6 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1539) implies:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_14_6 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (1536) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_14_9 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1541) implies:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_14_9 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (1540) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_20_7 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (1542) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_20_5 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1540) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) ~ (all_14_7 = e21)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1542) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) ~ (all_14_8 = e21)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1542) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) ~ (e23 = e21)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (1540) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) op2(e22, e21) = all_24_9
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (1542) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) op2(e22, e21) = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (943), (1542) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) op2(e21, e21) = all_24_6
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1540) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) op2(e21, e22) = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) all_20_0 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1552) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_8_2 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (983), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_28_35 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (978), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) all_28_33 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_28_31 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1486), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_28_19 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1483), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) all_28_13 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1477), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) all_28_1 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) ~ (all_14_1 = e21)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) ~ (e22 = e21)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) op2(all_8_0, e21) = all_28_4
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) op2(all_8_1, e21) = all_28_12
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (894), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) op2(e21, all_8_0) = all_28_16
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (895), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) op2(e21, all_8_1) = all_28_18
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (896), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) op2(e21, e21) = all_28_20
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (897), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) op2(e21, e23) = all_28_22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) op2(e23, e21) = all_8_0
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (1553) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) op2(e23, e23) = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) all_20_4 = e20
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (1570) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_14_8 = e20
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (1571) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_24_22 = e20
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1546), (1571) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) ~ (e21 = e20)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (1571) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) op2(e23, e21) = e20
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (942), (1571) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) op2(e21, e20) = all_24_2
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_20_4 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1570), (1576) are inconsistent by sub-proof
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_20_5 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1544), (1578) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) e22 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1579) implies:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) e22 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1580) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) $false
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1581) is inconsistent.
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) ~ (all_20_5 = e22)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_20_8 = e22 | all_20_14 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1118) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_18_10 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (1584) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_4_2 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (1585) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_20_8 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (715), (851), (1583), (1586) are
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #70.
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) ~ (all_18_10 = e21)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_18_10 = e22 | all_18_10 = e20
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (1587) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) ~ (all_4_2 = e21)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1588) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_18_10 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (1590) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_4_2 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (843), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) ~ (e23 = e22)
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (906), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) op2(all_4_0, e22) = all_28_76
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) op2(all_4_1, e22) = all_28_84
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) op2(e22, all_4_0) = all_28_88
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) op2(e22, all_4_1) = all_28_90
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) op2(e22, e22) = all_28_92
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) op2(e22, e21) = all_28_94
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) op2(e21, e22) = all_4_0
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1591) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) op2(e21, e21) = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_24_2, e20, e21,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1105), (1575) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_24_2 = e20
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_24_6, all_28_20, e21,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (1550), (1566) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_28_20 = all_24_6
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_20, e21, e21,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1566), (1600) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_28_20 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_4_0, e22, e21,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1551), (1599) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_4_0 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_22, e23, e21,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1514), (1567) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_28_22 = e23
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_24_9, all_28_94, e21,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1548), (1598) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_28_94 = all_24_9
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_94, e21, e22,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1549), (1598) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_28_94 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_6_2, all_28_92, e22,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (39), (1597) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_28_92 = all_6_2
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_1, all_24_1, e23,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (182), (1504) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_24_1 = all_14_1
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_8_0, e21, e23,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1568), (1574) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_8_0 = e20
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_24_8, e23, e23,
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1513), (1569) gives:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_24_8 = e21
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1602), (1603) imply:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_24_6 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1612) implies:
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_24_6 = e22
% 92.95/14.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1606), (1607) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_24_9 = e21
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_28_32 = e20
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (979), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_28_30 = e20
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_28_25 = e20
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1485), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_28_17 = e20
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1059), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_28_15 = e20
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1481), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_28_3 = e20
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) op2(e20, e20) = all_28_0
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) op2(e20, all_8_1) = all_28_2
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) op2(e20, e23) = all_8_1
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1562), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) op2(e20, e21) = all_28_4
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (890), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) op2(all_8_1, e20) = all_28_8
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (1604) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) op2(e21, e21) = all_28_72
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1593), (1604) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) op2(e21, e22) = all_28_76
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1604) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) op2(e21, e21) = all_4_1
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) op2(e23, e20) = all_28_24
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1595), (1604) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) op2(e22, e21) = all_28_88
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1564), (1610) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) op2(e21, e20) = all_28_16
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (1604) imply:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) op2(e21, e21) = all_28_96
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_0, e20, e20,
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (1621) gives:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_28_0 = e21
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_4, e21, e20,
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (1624) gives:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_28_4 = e23
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_3, all_8_1, e23,
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (174), (1623) gives:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_14_3 = all_8_1
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_28_16, e20, e21,
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1105), (1631) gives:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_28_16 = e20
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_96, e21, e21,
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1600), (1632) gives:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_28_96 = e22
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_96, all_28_72, e21,
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (1626), (1632) gives:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_28_72 = all_28_96
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_4_1, all_28_72, e21,
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (1626), (1628) gives:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_28_72 = all_4_1
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_76, e22, e21,
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1551), (1627) gives:
% 92.95/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_28_76 = e21
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_88, e21, e22,
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1549), (1630) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_28_88 = e21
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_24, e20, e23,
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1629) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_28_24 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1638), (1639) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_28_96 = all_4_1
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1643) implies:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_28_96 = all_4_1
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1637), (1644) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_4_1 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1645) implies:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_4_1 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (1635) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_20_12 = all_8_1
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (1635) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_24_25 = all_8_1
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (1635) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) ~ (all_14_7 = all_8_1)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1649) implies:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) ~ (all_14_7 = all_8_1)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (1635) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) ~ (all_8_1 = e23)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (1635) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) ~ (all_8_1 = e21)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (1646) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) op2(e22, e22) = all_28_82
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1594), (1646) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) op2(e22, e22) = all_28_84
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (910), (1646) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) op2(e22, e21) = all_28_86
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (937), (1635) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) op2(e23, all_8_1) = all_24_12
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1596), (1646) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) op2(e22, e22) = all_28_90
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (1646) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) op2(e21, e22) = all_28_99
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_99, e22, e21,
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1551), (1658) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_28_99 = e21
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_86, e21, e22,
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1549), (1655) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_28_86 = e21
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_6_2, all_28_84, e22,
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (39), (1654) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_28_84 = all_6_2
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_84, all_28_82, e22,
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1653), (1654) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_28_82 = all_28_84
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_90, all_28_82, e22,
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1653), (1657) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_28_82 = all_28_90
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_27, all_24_12,
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e23, simplifying with (899), (1656)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_28_27 = all_24_12
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1662), (1663) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_28_84 = all_28_90
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1665) implies:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_28_84 = all_28_90
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1661), (1666) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_28_90 = all_6_2
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1667) implies:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_28_90 = all_6_2
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_18_4 = e23
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (755), (1078), (1669) are inconsistent by
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) ~ (all_18_4 = e23)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_20_1 = e20
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1496), (1672) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) e23 = e20
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076), (1080), (1673) are inconsistent by
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) ~ (all_20_1 = e20)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_20_1 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1496), (1676) are inconsistent by sub-proof
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68.
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) ~ (all_20_1 = e22)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_20_3 = e22 | all_20_7 = e22 | all_20_13 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_20_12 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1647), (1679) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_8_1 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_8_1 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_28_28 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1480), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_28_21 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (984), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_28_7 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (982), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_28_6 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1650), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) ~ (all_14_7 = e22)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) h4(e12) = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) op2(e22, e22) = all_28_10
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) op2(e22, e23) = all_28_14
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1563), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) op2(e22, e21) = all_28_12
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1625), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) op2(e22, e20) = all_28_8
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1656), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) op2(e23, e22) = all_24_12
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1565), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) op2(e21, e22) = all_28_18
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1681) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) op2(e20, e22) = all_28_2
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1678) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_20_3 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (1695) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_6_2 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1696) implies:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_6_2 = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (821), (1697) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_14_1 = e22)
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1697) imply:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) op2(e22, e22) = e22
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_20_2 = e20
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1700) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_14_1 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1701) implies:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_14_1 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (1702) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) op2(e22, e23) = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1675) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_20_3 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1695), (1704) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) e22 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1705) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1706) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) ~ (all_20_3 = e20)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_20_7 = e20 | all_20_13 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1122) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_18_13 = e21
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (774), (837), (1709) are inconsistent by sub-proof
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_18_13 = e22 | all_18_13 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1710) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_18_13 = e22
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1711) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_14_7 = e22
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1712) implies:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_14_7 = e22
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1713) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_20_13 = e22
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (702), (1100), (1708), (1714) are
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_18_13 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1715) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_14_7 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1716) implies:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_14_7 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (1717) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) op2(e20, e22) = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_28_2, e22, e20,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1694), (1718) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) all_28_2 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_18, e22, e21,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1551), (1693) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) all_28_18 = e21
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_8, e20, e22,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1081), (1691) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_28_8 = e23
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_12, e21, e22,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1549), (1690) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_28_12 = e21
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_10, e22, e22,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1688), (1699) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_28_10 = e22
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_28_14, e23, e22,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1689), (1703) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_28_14 = e20
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_24_12, e22, e23,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1503), (1692) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_24_12 = e23
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1664), (1725) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_28_27 = e23
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_22_12 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (1727) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_12_3 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1728) implies:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_12_3 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (1729) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) ~ (all_12_7 = e12)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1730) implies:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) ~ (all_12_7 = e12)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (1729) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) h4(e12) = all_28_26
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_22_1 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1386), (1733) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) e13 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1734) implies:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) e13 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1028), (1735) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1736) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_22_3 = e12 | all_22_7 = e12 | all_22_13 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1737) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_22_3 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1738) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_12_5 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1739) implies:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_12_5 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (875), (1740) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) h4(e12) = all_28_11
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_22_2 = e10
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1742) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_12_1 = e10
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (874), (1743) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) h4(e10) = all_28_9
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1063) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_16_13 = e11
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1745) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_12_7 = e11
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1746) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1747) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_16_13 = e12 | all_16_13 = e10
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1748) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_16_13 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1749) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_12_7 = e12
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1731), (1750) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1751) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_16_13 = e10
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1752) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_12_7 = e10
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (1753) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) h4(e10) = all_28_29
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_9, e10,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (47), (1744) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_28_9 = e23
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_29, all_28_9, e10,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1744), (1754) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_28_9 = all_28_29
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_28_11, e12,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1687), (1741) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_28_11 = e22
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_26, all_28_11, e12,
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1732), (1741) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_28_11 = all_28_26
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1755), (1756) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_28_29 = e23
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1759) implies:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_28_29 = e23
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1757), (1758) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_28_26 = e22
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) ~ (all_28_0 = all_28_1)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1559), (1633), (1762) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1763) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_5) | ~ (all_28_6 = all_28_7) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1764) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) ~ (all_28_2 = all_28_3)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1620), (1719), (1765) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1766) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_7) | ~ (all_28_8 = all_28_9) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_10 = all_28_11) | ~ (all_28_12 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) ~ (all_28_4 = all_28_5)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1476), (1634), (1768) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1769) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) ~ (all_28_6 = all_28_7) | ~ (all_28_8 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_9) | ~ (all_28_10 = all_28_11) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_12 = all_28_13) | ~ (all_28_14 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1770) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) ~ (all_28_6 = all_28_7)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1684), (1685), (1771) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1772) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) ~ (all_28_8 = all_28_9) | ~ (all_28_10 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_14 = all_28_15) | ~ (all_28_16 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1773) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) ~ (all_28_8 = all_28_9)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1721), (1755), (1774) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1775) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) ~ (all_28_10 = all_28_11) | ~ (all_28_12 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1776) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) ~ (all_28_10 = all_28_11)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1723), (1757), (1777) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1778) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1779) gives:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) ~ (all_28_12 = all_28_13)
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1558), (1722), (1780) imply:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) $false
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1781) is inconsistent.
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) ~ (all_28_14 = all_28_15) | ~ (all_28_16 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1782) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) ~ (all_28_14 = all_28_15)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1619), (1724), (1783) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1784) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) ~ (all_28_16 = all_28_17) | ~ (all_28_18 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1785) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) ~ (all_28_16 = all_28_17)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1618), (1636), (1786) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1787) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) ~ (all_28_18 = all_28_19) | ~ (all_28_20 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1788) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) ~ (all_28_18 = all_28_19)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1557), (1720), (1789) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1790) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) ~ (all_28_20 = all_28_21)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1603), (1683), (1792) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1793) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) ~ (all_28_22 = all_28_23) | ~ (all_28_24 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1794) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) ~ (all_28_22 = all_28_23)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1058), (1605), (1795) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1796) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1797) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) ~ (all_28_24 = all_28_26)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1642), (1761), (1798) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1799) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) ~ (all_28_27 = all_28_29) | ~ (all_28_30 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1800) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) ~ (all_28_27 = all_28_29)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1726), (1760), (1801) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1802) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1803) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) ~ (all_28_30 = all_28_32)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1615), (1616), (1804) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1805) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1806) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) ~ (all_28_33 = all_28_35)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1554), (1555), (1807) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1808) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1809) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1810) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1811) implies:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) ~ (all_28_34 = e23)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (1812) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1813) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1814) implies:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) ~ (all_28_28 = e22)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1682), (1815) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1816) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1817) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1818) implies:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_28_31 = e21)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1556), (1819) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1820) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) ~ (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1821) implies:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) ~ (all_28_25 = e20)
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1617), (1822) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1823) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_22_3 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1738), (1825) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) e12 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1826) implies:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) e12 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1053), (1827) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1828) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_22_5 = e10 | all_22_10 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1829) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_22_5 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1437), (1830) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) e11 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1831) implies:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) e11 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1468), (1832) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1833) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_22_10 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1024), (1834) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) e13 = e10
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1051), (1835) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1836) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_22_7 = e12 | all_22_13 = e12
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1837) gives:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_22_7 = e12
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1436), (1838) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) e12 = e11
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1839) implies:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) e12 = e11
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1467), (1840) imply:
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) $false
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1841) is inconsistent.
% 93.11/14.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_22_13 = e12
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1842) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_12_7 = e12
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1731), (1843) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) $false
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1844) is inconsistent.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) ~ (all_22_12 = e12)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_22_13 = e12 | all_22_14 = e12 | all_22_15 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (501), (1845) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) ~ (all_12_3 = e12)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) (all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)) | (all_26_2 = e11 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_20 = all_26_22 & ~ (all_26_22 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_3 = e10 & all_26_25 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 & ~ (all_26_28 = all_26_31)) |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)) | (all_26_6 = e11 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_23 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_7 = e10 & all_26_26 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 & ~ (all_26_29 = all_26_31))
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1848) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) (all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)) | (all_26_2 = e11 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_20 = all_26_22 & ~ (all_26_22 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_3 = e10 & all_26_25 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 & ~ (all_26_28 = all_26_31))
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1850) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_26_17 = all_26_18
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_26_1 = e12
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1474), (1852) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_12_1 = e12
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1851) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_26_18 = all_12_1
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1389), (1854) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_12_1 = e13
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1855) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_12_1 = e13
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1853), (1856) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) e13 = e12
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1028), (1857) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) $false
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1858) is inconsistent.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) (all_26_2 = e11 & all_26_20 = all_26_22 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = all_26_24)) | (all_26_3 = e10 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_25 = all_26_28 & ~ (all_26_28 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1859) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_26_2 = e11 & all_26_20 = all_26_22 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = all_26_24)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1860) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_26_2 = e11
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1471), (1861) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) e11 = e10
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1862) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) e11 = e10
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1468), (1863) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) $false
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1864) is inconsistent.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_26_3 = e10 & all_26_25 = all_26_28 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = all_26_31)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (680), (796), (962), (1028), (1053),
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467), (1846), (1865) are inconsistent by
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) (all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)) | (all_26_6 = e11 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_23 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_7 = e10 & all_26_26 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 & ~ (all_26_29 = all_26_31))
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1866) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1867) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_26_17 = all_26_18
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1868) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_26_18 = all_12_1
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1389), (1869) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_12_1 = e13
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1870) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_12_1 = e13
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1401), (1871) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) $false
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1872) is inconsistent.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) (all_26_6 = e11 & all_26_21 = all_26_23 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = all_26_24)) | (all_26_7 = e10 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_29 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1873) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_26_6 = e11 & all_26_21 = all_26_23 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = all_26_24)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1874) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_26_6 = e11
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1472), (1875) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) e12 = e11
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1467), (1876) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) $false
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1877) is inconsistent.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_26_7 = e10 & all_26_26 = all_26_29 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = all_26_31)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1878) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_26_26 = all_26_29
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (858), (1025), (1879) are inconsistent by
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) (all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)) | (all_26_9 = e12 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_19 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23)) | (all_26_11 = e10 & all_26_27 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_30 = all_26_31)) |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)) | (all_26_13 = e12 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_19 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29)) | (all_26_14 = e11 & all_26_27 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_24 = all_26_30))
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1880) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) (all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)) | (all_26_9 = e12 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_19 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23)) | (all_26_11 = e10 & all_26_27 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_30 = all_26_31))
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1881) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1882) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_26_20 = all_26_22
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_26_8 = e13
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1475), (1884) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) e13 = e11
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1885) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) e13 = e11
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1399), (1883) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_26_22 = e13
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1887) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_26_22 = e13
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1458), (1888) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) e13 = e10
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1889) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) e13 = e10
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1886), (1890) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) e11 = e10
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1891) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) e11 = e10
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1468), (1892) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) $false
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1893) is inconsistent.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) (all_26_9 = e12 & all_26_21 = all_26_23 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_23)) | (all_26_11 = e10 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = all_26_30 & ~ (all_26_30 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1894) gives:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_26_9 = e12 & all_26_21 = all_26_23 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_23)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1895) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_26_9 = e12
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1473), (1896) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) e12 = e11
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1897) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) e12 = e11
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1467), (1898) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) $false
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1899) is inconsistent.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_26_11 = e10 & all_26_27 = all_26_30 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = all_26_31)
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1900) implies:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_26_11 = e10
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1057), (1901) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) e11 = e10
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1468), (1902) imply:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) $false
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1903) is inconsistent.
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) (all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)) | (all_26_13 = e12 &
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_19 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29)) | (all_26_14 = e11 & all_26_27 =
% 93.11/14.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_24 = all_26_30))
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1904) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1905) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_26_25 = all_26_28
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (1906) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_26_28 = all_12_3
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1907) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_12_3 = e12
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1908) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_12_3 = e12
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1847), (1909) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) $false
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1910) is inconsistent.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) (all_26_13 = e12 & all_26_26 = all_26_29 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_29)) | (all_26_14 = e11 &
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = all_26_30 & ~ (all_26_24 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30))
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1911) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_26_13 = e12 & all_26_26 = all_26_29 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_29)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1912) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_26_26 = all_26_29
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (858), (1025), (1913) are inconsistent by
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_26_14 = e11 & all_26_27 = all_26_30 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = all_26_30)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1914) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_26_27 = all_26_30
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_26_14 = e11
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1400), (1916) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) e13 = e11
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (799), (1915) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_26_30 = e13
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1046), (1918) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) e13 = e10
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1919) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) e13 = e10
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1917), (1920) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) e11 = e10
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1468), (1921) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) $false
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1922) is inconsistent.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1923) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_20_3 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (1924) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_6_2 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1925) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_6_2 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (821), (1926) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) ~ (all_14_1 = e20)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (1926) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) ~ (all_14_7 = e20)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_20_1 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1496), (1929) are inconsistent by sub-proof
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_20_2 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1930) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_14_1 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (1931) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_24_17 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1678) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1695), (1924) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) e22 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1933) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) $false
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1934) is inconsistent.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_20_7 = e22 | all_20_13 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1087) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_20_12 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1647), (1936) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_8_1 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1937) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_8_1 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1648), (1938) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_24_25 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1935) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_20_7 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (851), (1543), (1940) are inconsistent by
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_20_13 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1941) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_14_7 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (565), (1942) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_24_26 = e22
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31)) |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1944) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31))
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1945) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1946) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_24_17 = all_24_18
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1498), (1932), (1947) are inconsistent by
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) (all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = all_24_24)) | (all_24_3 = e20 &
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_25 = all_24_28 & ~ (all_24_28 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1948) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = all_24_24)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1949) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_24_2 = e21
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1601), (1950) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) e21 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1951) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) e21 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1952) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) $false
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1953) is inconsistent.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_24_3 = e20 & all_24_25 = all_24_28 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = all_24_31)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1954) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_24_25 = all_24_28
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1939), (1955) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_24_28 = e20
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (598), (1956) are inconsistent by sub-proof
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #81.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1957) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1958) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_24_17 = all_24_18
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1498), (1932), (1959) are inconsistent by
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) (all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = all_24_24)) | (all_24_7 = e20 &
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_29 =
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1960) gives:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = all_24_24)
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1961) implies:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_24_6 = e21
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1613), (1962) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) e22 = e21
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1963) imply:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) $false
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1964) is inconsistent.
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_24_7 = e20 & all_24_26 = all_24_29 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = all_24_31)
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1965) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_24_26 = all_24_29
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1077), (1943), (1966) are inconsistent by
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31)) |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1967) gives:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31))
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1968) gives:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1969) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_24_20 = all_24_22
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_24_8 = e23
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1611), (1971) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) e23 = e21
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1972) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) e23 = e21
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1507), (1970) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_24_22 = e23
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1974) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_24_22 = e23
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1572), (1975) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) e23 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1976) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) e23 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1973), (1977) are inconsistent by sub-proof
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) (all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_23)) | (all_24_11 = e20 &
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_30 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1978) gives:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_23)
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1979) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_24_9 = e22
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1614), (1980) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) e22 = e21
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1981) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) e22 = e21
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1982) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) $false
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1983) is inconsistent.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_24_11 = e20 & all_24_27 = all_24_30 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = all_24_31)
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1107), (1984) are inconsistent by sub-proof
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #79.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1985) gives:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1986) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_24_25 = all_24_28
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1939), (1987) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_24_28 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (598), (1988) are inconsistent by sub-proof
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #81.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) (all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_29)) | (all_24_14 = e21 &
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_24 =
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30))
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1989) gives:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_29)
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1990) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_24_26 = all_24_29
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1077), (1943), (1991) are inconsistent by
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_24_14 = e21 & all_24_27 = all_24_30 & ~
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = all_24_30)
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1992) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_24_27 = all_24_30
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_24_14 = e21
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1508), (1994) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) e23 = e21
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (1993) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_24_30 = e23
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1098), (1996) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) e23 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1995), (1997) are inconsistent by sub-proof
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_20_13 = e20 | all_20_14 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1998) gives:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_20_13 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1999) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_14_7 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2000) implies:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_14_7 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1928), (2001) imply:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) $false
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2002) is inconsistent.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_20_14 = e20
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (715), (2003) are inconsistent by sub-proof
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.11/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) ~ (all_20_2 = e22)
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (755), (1560), (1671), (1698), (1927) are
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_20_5 = e20 | all_20_10 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2005) gives:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_20_5 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1544), (2006) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) e21 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2007) implies:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) e21 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2008) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) $false
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2009) is inconsistent.
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_20_10 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1076), (2010) are inconsistent by sub-proof
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #109.
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_20_7 = e22 | all_20_13 = e22
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1087) gives:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_20_12 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1679), (2012) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) e22 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2013) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) $false
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2014) is inconsistent.
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_20_13 = e20 | all_20_14 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2015) gives:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_20_13 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2016) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_14_7 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2011) gives:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_20_7 = e22
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (851), (1543), (2018) are inconsistent by
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_20_13 = e22
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2016), (2019) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) e22 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2020) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) $false
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2021) is inconsistent.
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_20_14 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (2022) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) e23 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1076), (2023) imply:
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_20_10 = e20
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080), (2024) are inconsistent by sub-proof #108.
% 93.36/14.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) ~ (all_20_12 = e22)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1647), (2025) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) ~ (all_8_1 = e22)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31)) |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2027) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2028) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2029) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_24_17 = all_24_18
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_24_1 = e22
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1609), (2031) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_14_1 = e22
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2032) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) all_14_1 = e22
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2030) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_24_18 = all_14_1
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1498), (2034) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_14_1 = e23
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2035) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_14_1 = e23
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2033), (2036) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) e23 = e22
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2037) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) $false
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2038) is inconsistent.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) (all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = all_24_24)) | (all_24_3 = e20 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_25 = all_24_28 & ~ (all_24_28 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2039) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = all_24_24)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2040) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_24_20 = all_24_22
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1507), (2041) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_24_22 = e23
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1572), (2042) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) e23 = e20
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076), (1080), (2043) are inconsistent by
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_24_3 = e20 & all_24_25 = all_24_28 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = all_24_31)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2044) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_24_25 = all_24_28
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (1648), (2026), (2045) are inconsistent by
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2046) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2047) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_24_17 = all_24_18
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2048) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_24_18 = all_14_1
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1498), (2049) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_14_1 = e23
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2050) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_14_1 = e23
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1078), (2051) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) $false
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2052) is inconsistent.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) (all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = all_24_24)) | (all_24_7 = e20 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_29 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = all_24_24)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2054) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_24_6 = e21
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1613), (2055) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) e22 = e21
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2056) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) e22 = e21
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2057) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) $false
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2058) is inconsistent.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_24_7 = e20 & all_24_26 = all_24_29 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = all_24_31)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_24_26 = all_24_29
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (565), (836), (1077), (2060) are inconsistent by
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31)) |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2061) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2062) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2063) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_24_20 = all_24_22
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1507), (2064) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_24_22 = e23
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1572), (2065) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) e23 = e20
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076), (1080), (2066) are inconsistent by
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) (all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_23)) | (all_24_11 = e20 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_30 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2067) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_23)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2068) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_24_9 = e22
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1614), (2069) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) e22 = e21
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2070) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) $false
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2071) is inconsistent.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_24_11 = e20 & all_24_27 = all_24_30 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = all_24_31)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2072) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_24_27 = all_24_30
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (2073) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_24_30 = e23
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1098), (2074) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) e23 = e20
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076), (1080), (2075) are inconsistent by
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2076) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2077) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_24_25 = all_24_28
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (1648), (2026), (2078) are inconsistent by
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) (all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_29)) | (all_24_14 = e21 &
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_24 =
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30))
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2079) gives:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_29)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2080) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_24_26 = all_24_29
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (565), (836), (1077), (2081) are inconsistent by
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_24_14 = e21 & all_24_27 = all_24_30 & ~
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = all_24_30)
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2082) implies:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_24_27 = all_24_30
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (2083) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) all_24_30 = e23
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1098), (2084) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) e23 = e20
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076), (1080), (2085) are inconsistent by
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_18_10 = e20
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (2086) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_4_2 = e20
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1102), (2087) imply:
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) $false
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2088) is inconsistent.
% 93.36/14.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) ~ (all_20_4 = e20)
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (705), (758), (840), (1113), (1546), (2089) are
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) ~ (all_20_0 = e21)
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (2090) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) ~ (all_8_2 = e21)
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_20_0 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2092) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_8_2 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2091), (2093) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) $false
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2094) is inconsistent.
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_20_1 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1496), (2096) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) e23 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2097) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) $false
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2098) is inconsistent.
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_20_4 = e21 | all_20_9 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_20_4 = e20
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (717), (851), (2099), (2100) are inconsistent
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #53.
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) ~ (all_20_4 = e20)
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (705), (758), (840), (1113), (1546), (2101) are
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_20 =
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (e23 = e20)
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2102) implies:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_24_28 = e23
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (2103) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) e23 = e22
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2104) implies:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) e23 = e22
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2105) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) $false
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2106) is inconsistent.
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (e22 = e20)) | (all_24_27 = e21 &
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e21 = e20)) | ( ~ (all_24_28 = e23) & ~
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e22) & ~ (all_24_30 = e21) & ~
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e20) & ((all_24_25 = e20 &
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20) | (all_24_26 = e20 &
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e20) | (all_24_27 = e20 &
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20)))
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2107) gives:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_21 =
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (e22 = e20)
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2108) implies:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_24_29 = e22
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1077), (2109) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) e23 = e22
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2110) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) $false
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2111) is inconsistent.
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_23 = e22) & ~ (all_24_24
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (e21 = e20)) | ( ~ (all_24_28 =
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_29 = e22) & ~ (all_24_30 =
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_31 = e20) & ((all_24_25 =
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e20) | (all_24_26 = e20 &
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e20) | (all_24_27 = e20 &
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20)))
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2112) gives:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_23 = e22) & ~ (all_24_24 =
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (e21 = e20)
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2113) implies:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_24_30 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_24_27 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (2115) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) e23 = e21
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1098), (2114) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) e21 = e20
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2117) implies:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) e21 = e20
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2116), (2118) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) e23 = e20
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1076), (2119) imply:
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_20_10 = e20
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080), (2120) are inconsistent by sub-proof #108.
% 93.36/14.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21) & ~ (all_24_31 = e20) &
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_24_25 = e20 & all_24_28 = e20) | (all_24_26
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20 & all_24_29 = e20) | (all_24_27 = e20 &
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20))
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2121) implies:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) (all_24_25 = e20 & all_24_28 = e20) | (all_24_26 =
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e20) | (all_24_27 = e20 &
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20)
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (562), (598), (1077), (2122) are
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (29), (31), (39), (143), (149),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (150), (151), (159), (161), (163), (184), (241),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (269), (274), (276), (277), (357), (359),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (565), (568), (572), (578), (581), (587),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589), (594), (598), (601), (604), (695), (697),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702), (705), (706), (712), (715), (753), (755),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772), (774), (795), (821), (825), (826), (828),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830), (837), (838), (839), (841), (843), (846),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902), (913), (936), (941), (942), (943), (1077),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078), (1095), (1098), (1099), (1100), (1102),
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105), (1107), (1118), (1122), (1126), (2123) are
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_20_4 = e23 | all_20_9 = e23
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (705), (717), (839), (2124) are inconsistent
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #52.
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) ~ (all_22_0 = e11)
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (2125) imply:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) ~ (all_12_0 = e11)
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_16_0 = e11
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (2126), (2127) are inconsistent by
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_16_0 = e12 | all_16_0 = e10
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2128) gives:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_16_0 = e12
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (854), (2129) are inconsistent by sub-proof
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #50.
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_16_0 = e10
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (2130) imply:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_12_0 = e10
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2131) implies:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) all_12_0 = e10
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1459), (2132) imply:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) $false
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2133) is inconsistent.
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) ~ (all_22_4 = e10)
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (2134) imply:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) ~ (all_12_8 = e10)
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1068) gives:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_16_2 = e11
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (731), (2136) imply:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_12_8 = e11
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1439), (2137) imply:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) $false
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2138) is inconsistent.
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_16_2 = e12 | all_16_2 = e10
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (731), (861), (2135), (2139) are inconsistent by
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_16_10 = e10
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (2140) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_12_10 = e10
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2141) implies:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_12_10 = e10
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1049), (2142) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | | (2143) $false
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2143) is inconsistent.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | (2144) all_26_25 = e13 & all_26_28 = e13 & ~ (all_26_16
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_20 =
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e13 = e10)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (1028), (2144) are inconsistent by
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | (2145) (all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e12 = e10)) | (all_26_27 = e11 &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e11 & ~ (all_26_22 = e13) & ~
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | (e11 = e10)) | ( ~ (all_26_28 = e13) & ~
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12) & ~ (all_26_30 = e11) & ~
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10) & ((all_26_25 = e10 &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10) | (all_26_26 = e10 &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2145) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | (2146) all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21 =
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e12 = e10)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1025), (1028), (2146) are inconsistent by
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | (2147) (all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e11 = e10)) | ( ~ (all_26_28 =
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_29 = e12) & ~ (all_26_30 =
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_31 = e10) & ((all_26_25 =
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e10) | (all_26_26 = e10 &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2147) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24 =
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e11 = e10)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1046), (2148) are inconsistent by sub-proof #95.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | (2149) ~ (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) | (all_26_26
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | = e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10))
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2149) implies:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | (2150) (all_26_25 = e10 & all_26_28 = e10) | (all_26_26 =
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (799), (1025), (1051), (1053), (2150) are
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | (2151) all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2151) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2152) all_22_7 = e13
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (2152) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2153) all_12_6 = e13
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (2153) implies:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2154) all_12_6 = e13
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1391), (2154) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2155) $false
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2155) is inconsistent.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2156) all_22_8 = e13 | all_22_11 = e13
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (863), (1045), (1051), (2156) are
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2157) all_22_4 = e13 | all_22_9 = e13
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (672), (684), (860), (1028), (2157) are
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | End of split
% 93.45/14.27 | | | | | | | | |
% 93.45/14.27 | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | |
% 93.45/14.27 | | | | | | | | | (2158) ~ (all_18_7 = e23)
% 93.45/14.27 | | | | | | | | | (2159) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 93.45/14.27 | | | | | | | | |
% 93.45/14.27 | | | | | | | | | REDUCE: (768), (2158) imply:
% 93.45/14.27 | | | | | | | | | (2160) ~ (all_14_13 = e23)
% 93.45/14.27 | | | | | | | | |
% 93.45/14.27 | | | | | | | | | BETA: splitting (2159) gives:
% 93.45/14.27 | | | | | | | | |
% 93.45/14.27 | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | (2161) all_18_7 = e21
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | COMBINE_EQS: (768), (2161) imply:
% 93.45/14.27 | | | | | | | | | | (2162) all_14_13 = e21
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | REDUCE: (852), (2162) imply:
% 93.45/14.27 | | | | | | | | | | (2163) $false
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | CLOSE: (2163) is inconsistent.
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | (2164) ~ (all_18_7 = e21)
% 93.45/14.27 | | | | | | | | | | (2165) all_18_7 = e22 | all_18_7 = e20
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | BETA: splitting (2165) gives:
% 93.45/14.27 | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | (2166) all_18_7 = e22
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | COMBINE_EQS: (768), (2166) imply:
% 93.45/14.27 | | | | | | | | | | | (2167) all_14_13 = e22
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (848), (2167) imply:
% 93.45/14.27 | | | | | | | | | | | (2168) $false
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | CLOSE: (2168) is inconsistent.
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | (2169) all_18_7 = e20
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | COMBINE_EQS: (768), (2169) imply:
% 93.45/14.27 | | | | | | | | | | | (2170) all_14_13 = e20
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | COMBINE_EQS: (719), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2171) all_20_10 = e20
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | COMBINE_EQS: (584), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2172) all_24_29 = e20
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (160), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2173) ~ (all_14_1 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (132), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2174) ~ (all_14_9 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (125), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2175) ~ (all_14_14 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | SIMP: (2175) implies:
% 93.45/14.27 | | | | | | | | | | | (2176) ~ (all_14_14 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (834), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2177) ~ (all_6_2 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | SIMP: (2177) implies:
% 93.45/14.27 | | | | | | | | | | | (2178) ~ (all_6_2 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (2160), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2179) ~ (e23 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (848), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2180) ~ (e22 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (852), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2181) ~ (e21 = e20)
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | REDUCE: (947), (2170) imply:
% 93.45/14.27 | | | | | | | | | | | (2182) op2(e20, e20) = all_24_7
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | BETA: splitting (235) gives:
% 93.45/14.27 | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | (2183) all_18_11 = e23
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | COMBINE_EQS: (770), (2183) imply:
% 93.45/14.27 | | | | | | | | | | | | (2184) all_14_14 = e23
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | SIMP: (2184) implies:
% 93.45/14.27 | | | | | | | | | | | | (2185) all_14_14 = e23
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | COMBINE_EQS: (720), (2185) imply:
% 93.45/14.27 | | | | | | | | | | | | (2186) all_20_11 = e23
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | COMBINE_EQS: (571), (2185) imply:
% 93.45/14.27 | | | | | | | | | | | | (2187) all_24_30 = e23
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | REDUCE: (156), (2185) imply:
% 93.45/14.27 | | | | | | | | | | | | (2188) ~ (all_14_2 = e23)
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | REDUCE: (845), (2185) imply:
% 93.45/14.27 | | | | | | | | | | | | (2189) ~ (all_4_2 = e23)
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | REDUCE: (948), (2185) imply:
% 93.45/14.27 | | | | | | | | | | | | (2190) op2(e20, e23) = all_24_11
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_24_7, e20, e20,
% 93.45/14.27 | | | | | | | | | | | | simplifying with (16), (2182) gives:
% 93.45/14.27 | | | | | | | | | | | | (2191) all_24_7 = e21
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_3, all_24_11, e23,
% 93.45/14.27 | | | | | | | | | | | | e20, simplifying with (174), (2190) gives:
% 93.45/14.27 | | | | | | | | | | | | (2192) all_24_11 = all_14_3
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | BETA: splitting (239) gives:
% 93.45/14.27 | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | (2193) all_18_6 = e23
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | COMBINE_EQS: (760), (2193) imply:
% 93.45/14.27 | | | | | | | | | | | | | (2194) all_14_9 = e23
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | SIMP: (2194) implies:
% 93.45/14.27 | | | | | | | | | | | | | (2195) all_14_9 = e23
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | REDUCE: (842), (2195) imply:
% 93.45/14.27 | | | | | | | | | | | | | (2196) $false
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | CLOSE: (2196) is inconsistent.
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | (2197) ~ (all_18_6 = e23)
% 93.45/14.27 | | | | | | | | | | | | | (2198) all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | BETA: splitting (242) gives:
% 93.45/14.27 | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | (2199) all_18_2 = e23
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | COMBINE_EQS: (758), (2199) imply:
% 93.45/14.27 | | | | | | | | | | | | | | (2200) all_14_8 = e23
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | SIMP: (2200) implies:
% 93.45/14.27 | | | | | | | | | | | | | | (2201) all_14_8 = e23
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | REDUCE: (839), (2201) imply:
% 93.45/14.27 | | | | | | | | | | | | | | (2202) $false
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | CLOSE: (2202) is inconsistent.
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | (2203) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 93.45/14.27 | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | (2204) all_18_12 = e23
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | COMBINE_EQS: (772), (2204) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | (2205) all_14_3 = e23
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | REDUCE: (823), (2205) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | (2206) $false
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | CLOSE: (2206) is inconsistent.
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | (2207) ~ (all_18_12 = e23)
% 93.45/14.27 | | | | | | | | | | | | | | | (2208) all_18_12 = e22 | all_18_12 = e21 | all_18_12 =
% 93.45/14.27 | | | | | | | | | | | | | | | e20
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 93.45/14.27 | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | (2209) all_18_13 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (2209) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | (2210) all_14_7 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | REDUCE: (836), (2210) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | (2211) $false
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | CLOSE: (2211) is inconsistent.
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | (2212) all_18_13 = e22 | all_18_13 = e21 | all_18_13 =
% 93.45/14.27 | | | | | | | | | | | | | | | | e20
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | (2213) all_20_0 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2213) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | (2214) all_8_2 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | SIMP: (2214) implies:
% 93.45/14.27 | | | | | | | | | | | | | | | | | (2215) all_8_2 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (2215) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | (2216) all_24_16 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | REDUCE: (811), (2215) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | (2217) ~ (all_14_1 = e23)
% 93.45/14.27 | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | (2218) all_20_2 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2218) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | (2219) all_14_1 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | REDUCE: (2217), (2219) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | (2220) $false
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | CLOSE: (2220) is inconsistent.
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | (2221) all_20_3 = e23 | all_20_5 = e23 | all_20_10 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | BETA: splitting (2221) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2222) all_20_3 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2222) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2223) all_6_2 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (2223) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2224) all_24_19 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | REDUCE: (825), (2223) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2225) ~ (all_14_4 = e23)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | REDUCE: (40), (2223) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2226) op2(e22, e23) = all_6_0
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_1, all_6_0, e23,
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | e22, simplifying with (182), (2226) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2227) all_14_1 = all_6_0
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2227) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2228) all_20_2 = all_6_0
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2227) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2229) all_24_17 = all_6_0
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | REDUCE: (164), (2227) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2230) ~ (all_14_2 = all_6_0)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | SIMP: (2230) implies:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2231) ~ (all_14_2 = all_6_0)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | REDUCE: (163), (2227) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2232) ~ (all_14_3 = all_6_0)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | SIMP: (2232) implies:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2233) ~ (all_14_3 = all_6_0)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | REDUCE: (161), (2227) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2234) ~ (all_14_9 = all_6_0)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | SIMP: (2234) implies:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2235) ~ (all_14_9 = all_6_0)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | REDUCE: (2217), (2227) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | (2236) ~ (all_6_0 = e23)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | (2237) all_18_1 = e23
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (753), (2225), (2237) are inconsistent by
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | sub-proof #88.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | (2238) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2239) all_20_2 = e21
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2228), (2239) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2240) all_6_0 = e21
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (2240) implies:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2241) all_6_0 = e21
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2229), (2241) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2242) all_24_17 = e21
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2231), (2241) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2243) ~ (all_14_2 = e21)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2235), (2241) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2244) ~ (all_14_9 = e21)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2236), (2241) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | (2245) ~ (e23 = e21)
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | (2246) all_20_2 = e22
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2239), (2246) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | (2247) e22 = e21
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2247) imply:
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | (2248) $false
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2248) is inconsistent.
% 93.45/14.27 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | (2249) all_20_3 = e22 | all_20_5 = e22 | all_20_10 = e22
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2249) gives:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | (2250) all_20_3 = e22
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2222), (2250) are inconsistent by sub-proof
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | #47.
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | (2251) all_20_5 = e22 | all_20_10 = e22
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2251) gives:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_20_5 = e22
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (2252) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_14_9 = e22
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2253) implies:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_14_9 = e22
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (2254) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | (2255) all_24_23 = e22
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (2254) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | (2256) ~ (all_4_2 = e22)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2256) implies:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | (2257) ~ (all_4_2 = e22)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (2258) (all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_16 = e21 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e23) | ~ (all_24_22 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e22) | ~ (all_24_22 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e21) | ~ (all_24_22 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e20) | ~ (all_24_22 = e20))) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))) | (all_24_19 = e23 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e23) | ~ (all_24_18 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e22) | ~ (all_24_18 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e21) | ~ (all_24_18 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e20) | ~ (all_24_18 = e20))) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_19 = e20 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20)))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2258) gives:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) (all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_16 = e21 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e23) | ~ (all_24_22 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e22) | ~ (all_24_22 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e21) | ~ (all_24_22 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e20) | ~ (all_24_22 = e20))) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20)))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2259) gives:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e22)) & ( ~ (all_24_17 = e21) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e21)) & ( ~ (all_24_17 = e20) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2260) implies:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) ~ (all_24_17 = e21) | ~ (all_24_18 = e21)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (150), (151), (155), (158), (159),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (266), (267), (281), (283), (357),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (359), (558), (562), (565), (568), (572), (578),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (581), (598), (601), (604), (697), (701), (702),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (705), (717), (753), (761), (795), (822), (823),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (826), (835), (838), (839), (843), (846),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (851), (968), (972), (2171), (2172), (2186),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188), (2191), (2192), (2213), (2238), (2242),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243), (2251), (2252), (2255), (2257), (2261) are
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) (all_24_16 = e21 & ( ~ (all_24_20 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_16 = e20 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e23) | ~ (all_24_28 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e22) | ~ (all_24_28 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e21) | ~ (all_24_28 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e20) | ~ (all_24_28 = e20)))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2262) gives:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_24_16 = e21 & ( ~ (all_24_20 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e22)) & ( ~ (all_24_20 = e21) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e21)) & ( ~ (all_24_20 = e20) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e20))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2263) implies:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_24_16 = e21
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2216), (2264) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) e23 = e21
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2265) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) $false
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2266) is inconsistent.
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e22)) & ( ~ (all_24_25 = e21) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) & ( ~ (all_24_25 = e20) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2267) implies:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_24_16 = e20
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2216), (2268) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) e23 = e20
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2269) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) $false
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2270) is inconsistent.
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) (all_24_19 = e23 & ( ~ (all_24_17 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_19 = e21 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e20 & ( ~ (all_24_26 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20)))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2271) gives:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_24_19 = e23 & ( ~ (all_24_17 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e22)) & ( ~ (all_24_17 = e21) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e21)) & ( ~ (all_24_17 = e20) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2272) implies:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) ~ (all_24_17 = e21) | ~ (all_24_18 = e21)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (150), (151), (155), (158), (159),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (266), (267), (281), (283), (357),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (359), (558), (562), (565), (568), (572), (578),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (581), (598), (601), (604), (697), (701), (702),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (705), (717), (753), (761), (795), (822), (823),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (826), (835), (838), (839), (843), (846),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (851), (968), (972), (2171), (2172), (2186),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188), (2191), (2192), (2213), (2238), (2242),
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243), (2251), (2252), (2255), (2257), (2273) are
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) (all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_19 = e20 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20)))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2274) gives:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22)) & ( ~ (all_24_21 = e21) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e21)) & ( ~ (all_24_21 = e20) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e20))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2275) implies:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_24_19 = e21
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2224), (2276) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) e23 = e21
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2277) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) $false
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2278) is inconsistent.
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_24_19 = e20 & ( ~ (all_24_26 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e22)) & ( ~ (all_24_26 = e21) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) & ( ~ (all_24_26 = e20) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e20))
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2279) implies:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_24_19 = e20
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2224), (2280) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) e23 = e20
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2281) imply:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) $false
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2282) is inconsistent.
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (2283) (all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_24 = e22 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))) | (all_24_31 = e23 &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e23) | ~ (all_24_28 = e23)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e22) | ~ (all_24_28 = e22)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e21) | ~ (all_24_28 = e21)) &
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e20) | ~ (all_24_28 = e20))) |
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.45/14.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20))) | (all_24_31 = e21 &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2283) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) (all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_24 = e22 &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20)))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2284) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e22)) & ( ~ (all_24_20 = e21) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e21)) & ( ~ (all_24_20 = e20) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e20))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2285) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_24_24 = e23
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (797), (2286) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_4_2 = e23
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2287) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_4_2 = e23
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (843), (2288) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) $false
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2289) is inconsistent.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) (all_24_24 = e22 & ( ~ (all_24_21 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_24 = e20 &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2290) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) all_24_24 = e22 & ( ~ (all_24_21 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22)) & ( ~ (all_24_21 = e21) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e21)) & ( ~ (all_24_21 = e20) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e20))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2291) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_24_24 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (797), (2292) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_4_2 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2293) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_4_2 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2257), (2294) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) $false
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2295) is inconsistent.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) & ( ~ (all_24_27 = e21) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21)) & ( ~ (all_24_27 = e20) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2296) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) ~ (all_24_27 = e23) | ~ (all_24_30 = e23)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (2187), (2297) are inconsistent by
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) (all_24_31 = e23 & ( ~ (all_24_25 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))) | (all_24_31 = e22 &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20))) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21 & ( ~ (all_24_27 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20)))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2298) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_24_31 = e23 & ( ~ (all_24_25 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e22)) & ( ~ (all_24_25 = e21) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) & ( ~ (all_24_25 = e20) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2299) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_24_31 = e23
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (2300) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) e23 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2301) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) $false
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2302) is inconsistent.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) (all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20))) | (all_24_31 = e21 &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2303) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e22)) & ( ~ (all_24_26 = e21) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) & ( ~ (all_24_26 = e20) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e20))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2304) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_24_31 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (2305) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) e22 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2252), (2306) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_20_5 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (851), (2171), (2251), (2307) are
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_24_31 = e21 & ( ~ (all_24_27 = e23) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) & ( ~ (all_24_27 = e21) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21)) & ( ~ (all_24_27 = e20) | ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2308) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) ~ (all_24_27 = e23) | ~ (all_24_30 = e23)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (2187), (2309) are inconsistent by
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_20_10 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2171), (2310) are inconsistent by sub-proof
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | #43.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | (2311) all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2311) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | (2312) all_20_3 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2222), (2312) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | (2313) e23 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2313) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | (2314) $false
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2314) is inconsistent.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | (2315) all_20_5 = e21 | all_20_10 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2315) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | (2316) all_20_5 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (2316) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | (2317) all_14_9 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (2317) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | (2318) all_24_23 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2317) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | (2319) ~ (all_14_8 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2235), (2317) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | (2320) ~ (all_6_0 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2320) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | (2321) ~ (all_6_0 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2317) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | (2322) ~ (e23 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_20_0 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (846), (2213), (2323) are inconsistent by
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | (2324) ~ (all_20_0 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2203) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_18_2 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (2326) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_14_8 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2319), (2327) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | (2328) $false
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2328) is inconsistent.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_18_2 = e22 | all_18_2 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_20_0 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (846), (2213), (2330) are inconsistent by
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_20_2 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2228), (2332) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_6_0 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2333) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_6_0 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2229), (2334) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_24_17 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2231), (2334) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) ~ (all_14_2 = e22)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2233), (2334) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) ~ (all_14_3 = e22)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2329) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_18_2 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (758), (840), (2338) are inconsistent by sub-proof
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #56.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_18_2 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (2339) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_14_8 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2340) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) all_14_8 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (2341) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_20_4 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (2341) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_24_22 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2341) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) ~ (all_14_4 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2208) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_18_12 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (824), (2345) are inconsistent by sub-proof
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (all_18_12 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_18_12 = e22 | all_18_12 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2347) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_18_12 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (2337), (2348) are inconsistent by
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_18_12 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (772), (2349) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_14_3 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2350) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_14_3 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (2351) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_20_12 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (2351) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_24_25 = e20
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2351) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) ~ (all_14_2 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (2351) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) ~ (all_14_7 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2355) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) ~ (all_14_7 = e20)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_20_1 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (2357) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_14_4 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2358) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_14_4 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (2359) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_24_18 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2359) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) ~ (e22 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_20_6 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2362) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_14_2 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2363) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_14_2 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (2364) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_24_20 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2364) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) ~ (all_14_6 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2366) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) ~ (all_14_6 = e21)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e22)) | (all_24_17 = e22 &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e22)) | (all_24_20 = e23 & all_24_22 =
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & ~ (all_24_16 = e23) & ~ (all_24_17 =
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_25 = e20) & ~ (e23 = e21))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_20 = e21 & all_24_22 = e21 & ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e20) & ~ (e23 = e21)) | (all_24_21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_19 = e22) & ~ (all_24_26 = e20) & ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e22 = e21))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2368) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e22)) | (all_24_17 = e22 &
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e22))
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2369) gives:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25 =
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e22)
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2370) implies:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_24_18 = e23
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_24_17 = e23
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2335), (2372) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) e23 = e22
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2360), (2371) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) e23 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2374) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) e22 = e21
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2375) imply:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) $false
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2376) is inconsistent.
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_21 = e21) & ~ (all_24_26 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e22)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2377) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_24_18 = e22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2360), (2378) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) e22 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2379) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) $false
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2380) is inconsistent.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_25
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e21)) | (all_24_20 = e21 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e21)) | (all_24_21 = e22 & all_24_23 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & ~ (all_24_18 = e23) & ~ (all_24_19 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_26 = e20) & ~ (e22 = e21))
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2381) gives:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_25 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e21)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2382) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_24_22 = e23
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_24_20 = e23
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2365), (2384) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) e23 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2343), (2383) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) e23 = e20
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2386) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) e23 = e20
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2385), (2387) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) e21 = e20
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2388) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) $false
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2389) is inconsistent.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_24 = e21) & ~ (all_24_27
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e21)) | (all_24_21 = e22 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e22 = e21))
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2390) gives:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_24 = e21) & ~ (all_24_27 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e21)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2391) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_24_22 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2343), (2392) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) e21 = e20
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2393) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) e21 = e20
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2394) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) $false
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2395) is inconsistent.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_26 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e22 = e21)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2396) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_24_23 = e22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2318), (2397) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) e22 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2398) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) $false
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2399) is inconsistent.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e22 = e21)) | (all_24_25 = e23 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e20)) | (all_24_26 = e22 & all_24_29 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & ~ (all_24_18 = e23) & ~ (all_24_19 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_24_21 = e21) & ~ (e22 = e20))
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e21 & all_24_30 = e21 & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23) & ~ (all_24_23 = e22) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23) & ~ (all_24_29 = e22) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21) & ~ (all_24_31 = e20) &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_24_25 = e20 & all_24_28 = e20) |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e20 & all_24_29 = e20) |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e20 & all_24_30 = e20)))
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (e22 = e21)) | (all_24_25 = e23 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e23 = e20))
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2401) gives:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (e22 = e21)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2402) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_24_21 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2403) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) all_14_6 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2404) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_14_6 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2367), (2405) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) $false
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2406) is inconsistent.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_20 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (e23 = e20)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (598), (2353), (2407) are inconsistent by
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (e22 = e20)) | (all_24_27 = e21 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e21 = e20)) | ( ~ (all_24_28 = e23) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e22) & ~ (all_24_30 = e21) & ~
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e20) & ((all_24_25 = e20 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20) | (all_24_26 = e20 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e20) | (all_24_27 = e20 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20)))
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2408) gives:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_21 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (e22 = e20)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2172), (2409) are inconsistent by sub-proof #33.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_23 = e22) & ~ (all_24_24
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (e21 = e20)) | ( ~ (all_24_28 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_29 = e22) & ~ (all_24_30 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_31 = e20) & ((all_24_25 =
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e20) | (all_24_26 = e20 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e20) | (all_24_27 = e20 &
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20)))
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (565), (598), (846), (2187), (2356),
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) are inconsistent by sub-proof #36.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) ~ (all_20_6 = e21)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (2411) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) ~ (all_14_2 = e21)
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2325) gives:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_20_2 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2332), (2413) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) e22 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2414) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) e22 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2415) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) $false
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2416) is inconsistent.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_20_6 = e21 | all_20_12 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2417) gives:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) all_20_6 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (701), (2412), (2418) are inconsistent by
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_20_12 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2352), (2419) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) e21 = e20
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2420) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) $false
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2421) is inconsistent.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_20_4 = e21 | all_20_9 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (717), (851), (2342), (2422) are inconsistent
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #53.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_20_3 = e22 | all_20_5 = e22 | all_20_10 = e22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2423) gives:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_20_3 = e22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2222), (2424) are inconsistent by sub-proof
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_20_5 = e22 | all_20_10 = e22
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (851), (2171), (2316), (2425) are
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | (2426) all_20_10 = e21
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2171), (2426) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | (2427) e21 = e20
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2427) implies:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | (2428) e21 = e20
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2428) imply:
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | (2429) $false
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2429) is inconsistent.
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.30 | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.30 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | (2430) all_20_5 = e23 | all_20_10 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (2430) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2431) all_20_5 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (2431) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2432) all_14_9 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2432) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2433) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | CLOSE: (2433) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2434) all_20_10 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2171), (2434) are inconsistent by sub-proof
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | #109.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | End of split
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | End of split
% 93.45/14.31 | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | (2435) ~ (all_20_0 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | (2436) all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | REDUCE: (693), (2435) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | (2437) ~ (all_8_2 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | (2438) all_20_0 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2438) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | (2439) all_8_2 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | SIMP: (2439) implies:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | (2440) all_8_2 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | REDUCE: (2437), (2440) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | (2441) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | CLOSE: (2441) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | (2442) all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | BETA: splitting (2436) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | (2443) all_20_2 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2443) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | (2444) all_14_1 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | REDUCE: (164), (2444) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | (2445) ~ (all_14_2 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | REDUCE: (163), (2444) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | (2446) ~ (all_14_3 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | REDUCE: (161), (2444) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | (2447) ~ (all_14_9 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | REDUCE: (935), (2444) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | (2448) op2(e23, e23) = all_24_4
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | REDUCE: (182), (2444) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | (2449) op2(e22, e23) = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2450) all_20_1 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (2450) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2451) all_14_4 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | SIMP: (2451) implies:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2452) all_14_4 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (2452) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2453) all_24_18 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (2452) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2454) ~ (all_14_6 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | SIMP: (2454) implies:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2455) ~ (all_14_6 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (2452) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2456) ~ (all_14_7 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2452) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2457) ~ (all_14_8 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (2452) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2458) ~ (all_8_2 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (2452) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2459) ~ (all_6_2 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | SIMP: (2459) implies:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2460) ~ (all_6_2 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (2452) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2461) op2(e22, e23) = all_24_1
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_24_1, e23, e22,
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | simplifying with (2449), (2461) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2462) all_24_1 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_2, all_24_4, e23,
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | e23, simplifying with (44), (2448) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | (2463) all_24_4 = all_8_2
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | (2464) all_18_5 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (2464) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | (2465) all_6_2 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2460), (2465) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | (2466) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2466) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | (2467) ~ (all_18_5 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | (2468) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | (2469) all_18_0 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (2469) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | (2470) all_8_2 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2437), (2470) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | (2471) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2471) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | (2472) ~ (all_18_0 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | (2473) all_18_0 = e22 | all_18_0 = e21 | all_18_0 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | (2474) all_20_2 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2443), (2474) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | (2475) e23 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2475) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | (2476) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2476) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | (2477) ~ (all_20_2 = e21)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | (2478) all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2479) all_20_0 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2479) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_8_2 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (2480) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_24_16 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (2480) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_24_4 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (2480) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2483) ~ (all_14_2 = e21)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (2480) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2484) ~ (all_14_8 = e21)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2437), (2480) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2485) ~ (e23 = e21)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (2480) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2486) ~ (e22 = e21)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2480) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | (2487) op2(e23, e21) = all_8_0
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_20_0 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2479), (2488) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2489) e21 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2489) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2490) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2490) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2491) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_20_1 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2450), (2492) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) e23 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2493) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2494) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_20_4 = e20 | all_20_9 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2495) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_20_4 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (2496) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_14_8 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2497) implies:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_14_8 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (2498) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_24_22 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2498) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) ~ (all_14_9 = e20)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2498) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) op2(e23, e21) = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_8_0, e21, e23,
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2487), (2501) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_8_0 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (2502) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) op2(e20, e23) = all_8_1
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_3, all_8_1, e23,
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (174), (2503) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_14_3 = all_8_1
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (2504) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_20_12 = all_8_1
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (2504) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_24_25 = all_8_1
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2192), (2504) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_24_11 = all_8_1
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2504) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) ~ (all_14_2 = all_8_1)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (2504) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) ~ (all_14_7 = all_8_1)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2509) implies:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) ~ (all_14_7 = all_8_1)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (2504) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) ~ (all_8_1 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (2504) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) ~ (all_8_1 = e21)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_18_8 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (761), (2513) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_14_2 = e23
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2188), (2514) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2515) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) ~ (all_18_8 = e23)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_20_6 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2518) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_14_2 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2483), (2519) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2520) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) ~ (all_20_6 = e21)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_20_4 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2496), (2523) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) e21 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2524) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) $false
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2525) is inconsistent.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) ~ (all_20_4 = e21)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_20_12 = e22
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2505), (2528) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_8_1 = e22
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2506), (2529) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_24_25 = e22
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2508), (2529) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) ~ (all_14_2 = e22)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2510), (2529) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) ~ (all_14_7 = e22)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2511), (2529) imply:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) ~ (e23 = e22)
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2212) gives:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_18_13 = e21
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (774), (837), (2534) are inconsistent by sub-proof
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_18_13 = e22 | all_18_13 = e20
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2517) gives:
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_18_8 = e21
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (761), (2536) imply:
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_14_2 = e21
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2483), (2537) imply:
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) $false
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2538) is inconsistent.
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.45/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_18_8 = e22 | all_18_8 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_18_8 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (761), (2540) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) all_14_2 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2531), (2541) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2542) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_18_8 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (761), (2543) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_14_2 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (2544) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_24_20 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2535) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_18_13 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (2546) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_14_7 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2532), (2547) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2548) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) all_18_13 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (2549) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_14_7 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2550) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_20_13 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) all_20_1 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2450), (2552) are inconsistent by sub-proof
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_20_3 = e22 | all_20_7 = e22 | all_20_13 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) (all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_16 = e21 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e23) | ~ (all_24_22 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e22) | ~ (all_24_22 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e21) | ~ (all_24_22 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e20) | ~ (all_24_22 = e20))) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))) | (all_24_19 = e23 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e23) | ~ (all_24_18 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e22) | ~ (all_24_18 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e21) | ~ (all_24_18 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e20) | ~ (all_24_18 = e20))) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_19 = e20 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20)))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2554) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) (all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_16 = e21 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e23) | ~ (all_24_22 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e22) | ~ (all_24_22 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e21) | ~ (all_24_22 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e20) | ~ (all_24_22 = e20))) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20)))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2555) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e22)) & ( ~ (all_24_17 = e21) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e21)) & ( ~ (all_24_17 = e20) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2556) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) all_24_16 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2481), (2557) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) e22 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2558) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2559) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) (all_24_16 = e21 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_16 = e20 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e23) | ~ (all_24_28 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e22) | ~ (all_24_28 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e21) | ~ (all_24_28 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e20) | ~ (all_24_28 = e20)))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2560) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_24_16 = e21 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e22)) & ( ~ (all_24_20 = e21) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e21)) & ( ~ (all_24_20 = e20) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e20))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2561) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) ~ (all_24_20 = e20) | ~ (all_24_22 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2499), (2545), (2562) are inconsistent by
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e22)) & ( ~ (all_24_25 = e21) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) & ( ~ (all_24_25 = e20) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2563) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) ~ (all_24_25 = e22) | ~ (all_24_28 = e22)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2530), (2564) are inconsistent by
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) (all_24_19 = e23 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_19 = e21 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e20 & ( ~ (all_24_26 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20)))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2565) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_24_19 = e23 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e22)) & ( ~ (all_24_17 = e21) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e21)) & ( ~ (all_24_17 = e20) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2566) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_24_19 = e23
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (2567) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_6_2 = e23
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2568) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) all_6_2 = e23
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2460), (2569) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2570) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) (all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_19 = e20 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20)))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2571) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22)) & ( ~ (all_24_21 = e21) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e21)) & ( ~ (all_24_21 = e20) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e20))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2572) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_24_19 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) ~ (all_24_21 = e22) | ~ (all_24_23 = e22)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (2573) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_6_2 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2575) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) all_6_2 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2576) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_20_3 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2576) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) ~ (all_14_9 = e21)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2553) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) all_20_3 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2577), (2579) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) e22 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2580) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) e22 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2581) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2582) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_20_7 = e22 | all_20_13 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2583) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) all_20_7 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (2584) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_14_6 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2585) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_14_6 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2586) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_24_21 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2198) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_18_6 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (2588) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_14_9 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2578), (2589) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2590) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_18_6 = e22 | all_18_6 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2591) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_18_6 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (2592) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_14_9 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (2593) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_24_23 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2574), (2587), (2594) are inconsistent by
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_18_6 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (2595) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_14_9 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2174), (2596) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2597) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_20_13 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2551), (2598) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) e22 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2599) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2600) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_24_19 = e20 & ( ~ (all_24_26 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e22)) & ( ~ (all_24_26 = e21) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) & ( ~ (all_24_26 = e20) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e20))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2601) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_24_19 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (2602) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_6_2 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2603) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_6_2 = e20
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2178), (2604) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2605) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) (all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_24 = e22 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))) | (all_24_31 = e23 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e23) | ~ (all_24_28 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e22) | ~ (all_24_28 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e21) | ~ (all_24_28 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e20) | ~ (all_24_28 = e20))) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20))) | (all_24_31 = e21 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2606) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) (all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_24 = e22 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20)))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2607) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e22)) & ( ~ (all_24_20 = e21) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e21)) & ( ~ (all_24_20 = e20) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e20))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2608) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) ~ (all_24_20 = e20) | ~ (all_24_22 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2499), (2545), (2609) are inconsistent by
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) (all_24_24 = e22 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_24 = e20 &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2610) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_24_24 = e22 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22)) & ( ~ (all_24_21 = e21) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e21)) & ( ~ (all_24_21 = e20) | ~
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e20))
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2611) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) all_24_24 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) ~ (all_24_21 = e21) | ~ (all_24_23 = e21)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (797), (2612) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_4_2 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2614) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) all_4_2 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (2615) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_20_8 = e22
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (2615) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) ~ (all_14_6 = e22)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2522) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_20_7 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (2618) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_14_6 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2619) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_24_21 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2527) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_20_5 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (2621) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_14_9 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2622) implies:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_14_9 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (2623) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_24_23 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2613) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) ~ (all_24_21 = e21)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2620), (2625) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2626) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) ~ (all_24_23 = e21)
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2624), (2627) imply:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) $false
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2628) is inconsistent.
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) all_20_8 = e21 | all_20_14 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2629) gives:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) all_20_8 = e21
% 93.74/14.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2616), (2630) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) e22 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2631) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) e22 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2632) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2633) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_20_14 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (2634) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) e23 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2635) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) e23 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2636) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2637) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_20_8 = e21 | all_20_11 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2638) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_20_8 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2616), (2639) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) e22 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2640) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2641) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_20_11 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2186), (2642) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) e23 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2643) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2644) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) & ( ~ (all_24_27 = e21) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21)) & ( ~ (all_24_27 = e20) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2645) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) ~ (all_24_27 = e23) | ~ (all_24_30 = e23)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (2187), (2646) are inconsistent by
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) (all_24_31 = e23 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))) | (all_24_31 = e22 &
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20))) |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20)))
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2647) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_24_31 = e23 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e22)) & ( ~ (all_24_25 = e21) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) & ( ~ (all_24_25 = e20) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2648) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) ~ (all_24_25 = e22) | ~ (all_24_28 = e22)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2530), (2649) are inconsistent by
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) (all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20))) | (all_24_31 = e21 &
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2650) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e22)) & ( ~ (all_24_26 = e21) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) & ( ~ (all_24_26 = e20) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e20))
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2651) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_24_31 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (2652) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) e22 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2653) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) e22 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2654) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2655) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) all_24_31 = e21 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) & ( ~ (all_24_27 = e21) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21)) & ( ~ (all_24_27 = e20) | ~
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2656) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) ~ (all_24_27 = e23) | ~ (all_24_30 = e23)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (2187), (2657) are inconsistent by
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) ~ (all_20_12 = e22)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) all_20_13 = e22 | all_20_14 = e22 | all_20_15 =
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2505), (2658) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) ~ (all_8_1 = e22)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_20_0 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2479), (2661) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) e22 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2662) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) e22 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2663) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2664) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) all_20_2 = e22 | all_20_6 = e22 | all_20_12 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2665) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_20_2 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2443), (2666) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) e23 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2667) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2668) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_20_6 = e22 | all_20_12 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2669) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_20_6 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2670) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_14_2 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (2671) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_24_20 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (972), (2671) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) all_24_14 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2508), (2671) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) ~ (all_8_1 = e22)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2188), (2671) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) ~ (e23 = e22)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_20_0 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2479), (2676) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) e21 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2677) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2678) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2679) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_20_2 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2443), (2680) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) e23 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2681) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2682) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_20_6 = e20 | all_20_12 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2683) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_20_6 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2670), (2684) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) e22 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2685) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2686) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_20_12 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2505), (2687) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_8_1 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2510), (2688) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) ~ (all_14_7 = e20)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_20_1 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2450), (2690) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) e23 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2691) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2692) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_20_4 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2496), (2694) are inconsistent by sub-proof
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2659) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_20_13 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2696) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_14_7 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2697) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) all_14_7 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (565), (2698) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_24_26 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (968), (2698) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_24_3 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (2698) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) ~ (all_6_2 = e22)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2701) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) ~ (all_6_2 = e22)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_20_6 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2670), (2703) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) e22 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2704) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) e22 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2705) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2706) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2468) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) all_18_5 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (2708) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_6_2 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2709) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_20_3 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (2709) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) ~ (all_14_6 = e21)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2709) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_14_9 = e21)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_20_3 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2710), (2713) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) e21 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2714) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) e21 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2715) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2716) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_20_7 = e20 | all_20_13 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2707) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) all_20_7 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (2718) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_14_6 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2719) implies:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) all_14_6 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2720) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_24_21 = e20
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2527) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) all_20_5 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (2722) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) all_14_9 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2712), (2723) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) $false
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2724) is inconsistent.
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) ~ (all_20_5 = e21)
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_20_8 = e21 | all_20_14 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2726) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_20_8 = e21
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2695) gives:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) all_20_5 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (2728) imply:
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_14_9 = e22
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2729) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_14_9 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (2730) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) all_24_23 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31)) |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2732) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2733) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2734) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_24_1 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2462), (2735) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) e23 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2736) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) $false
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2737) is inconsistent.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) (all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = all_24_24)) | (all_24_3 = e20 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_25 = all_24_28 & ~ (all_24_28 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2738) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = all_24_24)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2739) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_24_20 = all_24_22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2499), (2672), (2740) are inconsistent by
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_24_3 = e20 & all_24_25 = all_24_28 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = all_24_31)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2741) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_24_25 = all_24_28
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) all_24_3 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2700), (2743) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) e22 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (2744) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_24_28 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2742), (2745) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_24_25 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (357), (598), (846), (2172),
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187), (2453), (2499), (2672), (2699), (2721),
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) are inconsistent by sub-proof #28.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2748) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_24_4 = e23
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2482), (2749) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) e23 = e21
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2750) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) e23 = e21
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2751) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) $false
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2752) is inconsistent.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) (all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = all_24_24)) | (all_24_7 = e20 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_29 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2753) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = all_24_24)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2754) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_24_21 = all_24_23
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2721), (2731), (2755) are inconsistent by
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_24_7 = e20 & all_24_26 = all_24_29 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = all_24_31)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2756) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) all_24_7 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2191), (2757) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) e21 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2758) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) $false
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2759) is inconsistent.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31)) |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2760) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2761) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2762) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_24_20 = all_24_22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2499), (2672), (2763) are inconsistent by
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) (all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_23)) | (all_24_11 = e20 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_30 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2764) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_23)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2765) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_24_21 = all_24_23
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2721), (2731), (2766) are inconsistent by
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_24_11 = e20 & all_24_27 = all_24_30 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = all_24_31)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2767) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_24_27 = all_24_30
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_24_11 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2506), (2688) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_24_25 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (357), (598), (846), (2172),
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187), (2453), (2499), (2672), (2699), (2721),
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) are inconsistent by sub-proof #28.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2771) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2772) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_24_25 = all_24_28
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2506), (2773) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_24_28 = all_8_1
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (2774) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_8_1 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2775) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_8_1 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2660), (2776) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) $false
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2777) is inconsistent.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) (all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_29)) | (all_24_14 = e21 &
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_24 =
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30))
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2778) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_29)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2779) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_24_26 = all_24_29
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2699), (2780) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_24_29 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2172), (2781) are inconsistent by sub-proof
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #38.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_24_14 = e21 & all_24_27 = all_24_30 & ~
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = all_24_30)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2782) implies:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) all_24_14 = e21
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2673), (2783) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) e22 = e21
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2784) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) $false
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2785) is inconsistent.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_20_8 = e22 | all_20_14 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (715), (851), (2727), (2786) are
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #70.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_20_14 = e21
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (2787) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) e23 = e21
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2788) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) $false
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2789) is inconsistent.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) ~ (all_20_7 = e20)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (2790) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) ~ (all_14_6 = e20)
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (702), (2696), (2717), (2791) are
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_18_5 = e22 | all_18_5 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2792) gives:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_18_5 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (2793) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_6_2 = e22
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2702), (2794) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) $false
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2795) is inconsistent.
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_18_5 = e20
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (2796) imply:
% 93.74/14.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_6_2 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2178), (2797) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2798) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_20_14 = e22 | all_20_15 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2799) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_20_14 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (2800) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) e23 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2801) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2802) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_20_15 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (2803) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) e22 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2804) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) e22 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2805) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2806) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_20_12 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2505), (2807) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_8_1 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2660), (2808) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2809) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_20_9 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2810) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) e22 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2811) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2812) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | (2813) ~ (all_20_0 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (2813) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | (2815) ~ (all_8_2 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_20_0 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2816) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_8_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2817) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_8_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2815), (2818) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2819) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2819) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2820) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_20_1 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2450), (2821) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) e23 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2822) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) e23 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2823) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2824) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) ~ (all_20_1 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_20_4 = e21 | all_20_9 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2814) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_20_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2443), (2827) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) e23 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2828) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) e23 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2829) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2830) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_20_6 = e21 | all_20_12 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2831) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_20_6 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2832) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_14_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2833) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_14_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2834) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) ~ (all_14_3 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2834) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) ~ (all_14_6 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2836) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) ~ (all_14_6 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_20_0 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2838) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_8_2 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2839) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_8_2 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (2840) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2841) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) all_20_2 = e22 | all_20_6 = e22 | all_20_12 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2842) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) all_20_2 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2443), (2843) are inconsistent by sub-proof
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) ~ (all_20_2 = e22)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_20_6 = e22 | all_20_12 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2826) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_20_4 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (2846) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_14_8 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2847) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) ~ (all_14_9 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2848) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) ~ (all_14_9 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (2847) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) ~ (e22 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2478) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_20_3 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2851) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_6_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2852) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_6_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (2853) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_24_19 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2826) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (2846) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_14_8 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (2847) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) ~ (all_8_2 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (838), (2847) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) ~ (all_4_2 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2857) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) ~ (all_4_2 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (2847) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) ~ (e23 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_20_4 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2846), (2860) are inconsistent by sub-proof
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #90.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_20_2 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2443), (2862) are inconsistent by sub-proof
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_20_3 = e22 | all_20_5 = e22 | all_20_10 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2473) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_18_0 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (2864) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_8_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2865) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_8_2 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2815), (2866) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2867) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) ~ (all_18_0 = e21)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_18_0 = e22 | all_18_0 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_20_6 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2832), (2870) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) e22 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2871) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) e22 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2872) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2873) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_20_12 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (2874) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_14_3 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2875) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) all_14_3 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (2876) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_24_25 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (2876) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) ~ (all_8_2 = e22)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2869) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_18_0 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (2879) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_8_2 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2880) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_8_2 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (2881) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2882) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_18_0 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (2883) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_8_2 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2884) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_8_2 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (2885) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_24_16 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2863) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_20_3 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2851), (2887) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) e22 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2888) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2889) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_20_5 = e22 | all_20_10 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2890) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_20_5 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (2891) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_14_9 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2892) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_14_9 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (2893) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_24_23 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (2893) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) ~ (all_4_2 = e22)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2895) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) ~ (all_4_2 = e22)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2893) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) ~ (e23 = e22)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_20_6 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2832), (2898) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) e22 = e21
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2899) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2900) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_20_7 = e22 | all_20_8 = e22 | all_20_11 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2901) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_20_7 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (2902) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_14_6 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2903) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_14_6 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2904) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_24_21 = e22
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_20_6 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2832), (2906) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) e21 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2907) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) e21 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2908) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2909) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2910) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_20_7 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2902), (2911) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) e22 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2912) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) e22 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2913) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) $false
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2914) is inconsistent.
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) all_20_8 = e20 | all_20_11 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2915) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_20_8 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (2916) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_4_2 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2917) implies:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_4_2 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (797), (2918) imply:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_24_24 = e20
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) (all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_16 = e21 &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e23) | ~ (all_24_22 = e23)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e22) | ~ (all_24_22 = e22)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e21) | ~ (all_24_22 = e21)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e20) | ~ (all_24_22 = e20))) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))) | (all_24_19 = e23 &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e23) | ~ (all_24_18 = e23)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e22) | ~ (all_24_18 = e22)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e21) | ~ (all_24_18 = e21)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_17 = e20) | ~ (all_24_18 = e20))) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_19 = e20 &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20)))
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2920) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) (all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_16 = e21 &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e23) | ~ (all_24_22 = e23)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e22) | ~ (all_24_22 = e22)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e21) | ~ (all_24_22 = e21)) &
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_20 = e20) | ~ (all_24_22 = e20))) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20)))
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2921) gives:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_24_16 = e22 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) | ~
% 93.74/14.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e22)) & ( ~ (all_24_17 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e21)) & ( ~ (all_24_17 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2922) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_24_16 = e22
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2886), (2923) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) e22 = e20
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2924) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) e22 = e20
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2925) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) $false
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2926) is inconsistent.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) (all_24_16 = e21 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_16 = e20 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e23) | ~ (all_24_28 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e22) | ~ (all_24_28 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e21) | ~ (all_24_28 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e20) | ~ (all_24_28 = e20)))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2927) gives:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_24_16 = e21 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e22)) & ( ~ (all_24_20 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e21)) & ( ~ (all_24_20 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2928) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_24_16 = e21
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2886), (2929) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) e21 = e20
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2930) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) e21 = e20
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2931) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) $false
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2932) is inconsistent.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_24_16 = e20 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e22)) & ( ~ (all_24_25 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) & ( ~ (all_24_25 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2933) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) ~ (all_24_25 = e22) | ~ (all_24_28 = e22)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2877), (2934) are inconsistent by
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) (all_24_19 = e23 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e22)) & ( ~ (all_24_17 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e21)) & ( ~ (all_24_17 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_18 = e20))) | (all_24_19 = e21 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e20 & ( ~ (all_24_26 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20)))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2935) gives:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_24_19 = e23 & ( ~ (all_24_17 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e23)) & ( ~ (all_24_17 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e22)) & ( ~ (all_24_17 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e21)) & ( ~ (all_24_17 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2936) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_24_19 = e23
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2854), (2937) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) e23 = e21
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2938) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) $false
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2939) is inconsistent.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) (all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_19 = e20 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20)))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2940) gives:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) all_24_19 = e21 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22)) & ( ~ (all_24_21 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e21)) & ( ~ (all_24_21 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2941) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) ~ (all_24_21 = e22) | ~ (all_24_23 = e22)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2894), (2905), (2942) are inconsistent by
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_24_19 = e20 & ( ~ (all_24_26 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e22)) & ( ~ (all_24_26 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) & ( ~ (all_24_26 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2943) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_24_19 = e20
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2854), (2944) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) e21 = e20
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2945) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) e21 = e20
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2946) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) $false
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2947) is inconsistent.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) (all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_24 = e22 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))) | (all_24_31 = e23 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e23) | ~ (all_24_28 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e22) | ~ (all_24_28 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e21) | ~ (all_24_28 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_25 = e20) | ~ (all_24_28 = e20))) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20))) | (all_24_31 = e21 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) (all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e22)) & ( ~ (all_24_20 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e21)) & ( ~ (all_24_20 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_22 = e20))) | (all_24_24 = e22 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e23) | ~ (all_24_23 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e22) | ~ (all_24_23 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e21) | ~ (all_24_23 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_21 = e20) | ~ (all_24_23 = e20))) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20)))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2949) gives:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) all_24_24 = e23 & ( ~ (all_24_20 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e23)) & ( ~ (all_24_20 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e22)) & ( ~ (all_24_20 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e21)) & ( ~ (all_24_20 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2950) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) all_24_24 = e23
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2919), (2951) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) e23 = e20
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2952) imply:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) $false
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2953) is inconsistent.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) (all_24_24 = e22 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e22)) & ( ~ (all_24_21 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e21)) & ( ~ (all_24_21 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_23 = e20))) | (all_24_24 = e20 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_24_24 = e22 & ( ~ (all_24_21 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e23)) & ( ~ (all_24_21 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e22)) & ( ~ (all_24_21 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e21)) & ( ~ (all_24_21 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2955) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) ~ (all_24_21 = e22) | ~ (all_24_23 = e22)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2894), (2905), (2956) are inconsistent by
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) all_24_24 = e20 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) & ( ~ (all_24_27 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21)) & ( ~ (all_24_27 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2957) implies:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) ~ (all_24_27 = e23) | ~ (all_24_30 = e23)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (2187), (2958) are inconsistent by
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) (all_24_31 = e23 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e22)) & ( ~ (all_24_25 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) & ( ~ (all_24_25 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))) | (all_24_31 = e22 &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e23) | ~ (all_24_29 = e23)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e22) | ~ (all_24_29 = e22)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e21) | ~ (all_24_29 = e21)) &
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_26 = e20) | ~ (all_24_29 = e20))) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21 & ( ~ (all_24_27 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) & ( ~ (all_24_27 = e21) |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e21)) & ( ~ (all_24_27 = e20)
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20)))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2959) gives:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_24_31 = e23 & ( ~ (all_24_25 = e23) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e23)) & ( ~ (all_24_25 = e22) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e22)) & ( ~ (all_24_25 = e21) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) & ( ~ (all_24_25 = e20) | ~
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 93.74/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2960) implies:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) ~ (all_24_25 = e22) | ~ (all_24_28 = e22)
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2877), (2961) are inconsistent by
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) (all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e22)) & ( ~ (all_24_26 = e21) |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) & ( ~ (all_24_26 = e20)
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e20))) | (all_24_31 = e21 &
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e23) | ~ (all_24_30 = e23)) &
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | ~ (all_24_30 = e22)) &
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e21) | ~ (all_24_30 = e21)) &
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e20) | ~ (all_24_30 = e20)))
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2962) gives:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_24_31 = e22 & ( ~ (all_24_26 = e23) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e23)) & ( ~ (all_24_26 = e22) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e22)) & ( ~ (all_24_26 = e21) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) & ( ~ (all_24_26 = e20) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e20))
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2963) implies:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) all_24_31 = e22
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (2964) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) e22 = e21
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2965) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) $false
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2966) is inconsistent.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_24_31 = e21 & ( ~ (all_24_27 = e23) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) & ( ~ (all_24_27 = e22) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) & ( ~ (all_24_27 = e21) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e21)) & ( ~ (all_24_27 = e20) | ~
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2967) implies:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) ~ (all_24_27 = e23) | ~ (all_24_30 = e23)
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (2187), (2968) are inconsistent by
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_20_11 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2186), (2969) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) e23 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2970) implies:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) e23 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2971) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) $false
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2972) is inconsistent.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) all_20_8 = e22 | all_20_11 = e22
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2861) gives:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) all_20_5 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2891), (2974) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) e22 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2975) implies:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) e22 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2976) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) $false
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2977) is inconsistent.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_20_8 = e20 | all_20_14 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2978) gives:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) all_20_8 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (2979) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_4_2 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2980) implies:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_4_2 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2973) gives:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_20_8 = e22
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2979), (2982) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) e22 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2983) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) $false
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2984) is inconsistent.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_20_11 = e22
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2186), (2985) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) e23 = e22
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2986) implies:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) e23 = e22
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2987) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) $false
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2988) is inconsistent.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_20_14 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (715), (2989) are inconsistent by sub-proof
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_20_10 = e22
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2171), (2990) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) e22 = e20
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2991) imply:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) $false
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2992) is inconsistent.
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) all_20_9 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (717), (851), (2993) are inconsistent by sub-proof
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_20_5 = e21 | all_20_10 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2994) gives:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_20_5 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (2995) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_14_9 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2996) implies:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_14_9 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2849), (2997) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) $false
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2998) is inconsistent.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_20_10 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2171), (2999) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) e21 = e20
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3000) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) $false
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3001) is inconsistent.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_20_9 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (717), (851), (3002) are inconsistent by sub-proof
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_20_12 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (3003) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_14_3 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3004) implies:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_14_3 = e21
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (3005) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) $false
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3006) is inconsistent.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | (3007) ~ (all_20_1 = e23)
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (3007) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | (3008) ~ (all_14_4 = e23)
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2442) gives:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | (3009) all_20_1 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (3009) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | (3010) all_14_4 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | SIMP: (3010) implies:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | (3011) all_14_4 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3008), (3011) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | (3012) $false
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3012) is inconsistent.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | (3013) all_20_4 = e23 | all_20_9 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (705), (717), (839), (3013) are inconsistent
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | | by sub-proof #52.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | (3014) all_20_6 = e23 | all_20_12 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (3014) gives:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | (3015) all_20_6 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (3015) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | (3016) all_14_2 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (2188), (3016) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | (3017) $false
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | CLOSE: (3017) is inconsistent.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | (3018) all_20_12 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (3018) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | (3019) all_14_3 = e23
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (3019) imply:
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | (3020) $false
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | | CLOSE: (3020) is inconsistent.
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | Case 2:
% 93.93/14.37 | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | (3021) ~ (all_18_11 = e23)
% 93.93/14.37 | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | REDUCE: (770), (3021) imply:
% 93.93/14.37 | | | | | | | | | | | | (3022) ~ (all_14_14 = e23)
% 93.93/14.37 | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | | REF_CLOSE: (9), (10), (264), (717), (720), (723), (846),
% 93.93/14.37 | | | | | | | | | | | | (2171), (3022) are inconsistent by sub-proof #108.
% 93.93/14.37 | | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | | |
% 93.93/14.37 | | | | | | | | | End of split
% 93.93/14.37 | | | | | | | | |
% 93.93/14.37 | | | | | | | | End of split
% 93.93/14.37 | | | | | | | |
% 93.93/14.37 | | | | | | | End of split
% 93.93/14.37 | | | | | | |
% 93.93/14.37 | | | | | | End of split
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | End of split
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | End of split
% 93.93/14.37 | | | |
% 93.93/14.37 | | | End of split
% 93.93/14.37 | | |
% 93.93/14.37 | | End of split
% 93.93/14.37 | |
% 93.93/14.37 | Case 2:
% 93.93/14.37 | |
% 93.93/14.37 | | (3023) all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 93.93/14.37 | |
% 93.93/14.37 | | BETA: splitting (3023) gives:
% 93.93/14.37 | |
% 93.93/14.37 | | Case 1:
% 93.93/14.37 | | |
% 93.93/14.37 | | | (3024) all_16_7 = e11
% 93.93/14.37 | | |
% 93.93/14.37 | | | COMBINE_EQS: (740), (3024) imply:
% 93.93/14.37 | | | (3025) all_12_13 = e11
% 93.93/14.37 | | |
% 93.93/14.37 | | | SIMP: (3025) implies:
% 93.93/14.37 | | | (3026) all_12_13 = e11
% 93.93/14.37 | | |
% 93.93/14.37 | | | REDUCE: (868), (3026) imply:
% 93.93/14.37 | | | (3027) $false
% 93.93/14.37 | | |
% 93.93/14.37 | | | CLOSE: (3027) is inconsistent.
% 93.93/14.37 | | |
% 93.93/14.37 | | Case 2:
% 93.93/14.37 | | |
% 93.93/14.37 | | | (3028) ~ (all_16_7 = e11)
% 93.93/14.37 | | | (3029) all_16_7 = e12 | all_16_7 = e10
% 93.93/14.37 | | |
% 93.93/14.37 | | | BETA: splitting (3029) gives:
% 93.93/14.37 | | |
% 93.93/14.37 | | | Case 1:
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | (3030) all_16_7 = e12
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | COMBINE_EQS: (740), (3030) imply:
% 93.93/14.37 | | | | (3031) all_12_13 = e12
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | SIMP: (3031) implies:
% 93.93/14.37 | | | | (3032) all_12_13 = e12
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | REDUCE: (865), (3032) imply:
% 93.93/14.37 | | | | (3033) $false
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | CLOSE: (3033) is inconsistent.
% 93.93/14.37 | | | |
% 93.93/14.37 | | | Case 2:
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | (3034) all_16_7 = e10
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | COMBINE_EQS: (740), (3034) imply:
% 93.93/14.37 | | | | (3035) all_12_13 = e10
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | SIMP: (3035) implies:
% 93.93/14.37 | | | | (3036) all_12_13 = e10
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | COMBINE_EQS: (686), (3036) imply:
% 93.93/14.37 | | | | (3037) all_22_10 = e10
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | COMBINE_EQS: (640), (3036) imply:
% 93.93/14.37 | | | | (3038) all_26_29 = e10
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | REDUCE: (95), (3036) imply:
% 93.93/14.37 | | | | (3039) ~ (all_12_1 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | REDUCE: (79), (3036) imply:
% 93.93/14.37 | | | | (3040) ~ (all_12_5 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | REDUCE: (67), (3036) imply:
% 93.93/14.37 | | | | (3041) ~ (all_12_9 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | REDUCE: (62), (3036) imply:
% 93.93/14.37 | | | | (3042) ~ (all_12_14 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | SIMP: (3042) implies:
% 93.93/14.37 | | | | (3043) ~ (all_12_14 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | REDUCE: (865), (3036) imply:
% 93.93/14.37 | | | | (3044) ~ (e12 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | SIMP: (3044) implies:
% 93.93/14.37 | | | | (3045) ~ (e12 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | REDUCE: (868), (3036) imply:
% 93.93/14.37 | | | | (3046) ~ (e11 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | SIMP: (3046) implies:
% 93.93/14.37 | | | | (3047) ~ (e11 = e10)
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | REDUCE: (960), (3036) imply:
% 93.93/14.37 | | | | (3048) op1(e10, e10) = all_26_7
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | BETA: splitting (206) gives:
% 93.93/14.37 | | | |
% 93.93/14.37 | | | | Case 1:
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | (3049) all_16_11 = e13
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | COMBINE_EQS: (742), (3049) imply:
% 93.93/14.37 | | | | | (3050) all_12_14 = e13
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | COMBINE_EQS: (687), (3050) imply:
% 93.93/14.37 | | | | | (3051) all_22_11 = e13
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | COMBINE_EQS: (650), (3050) imply:
% 93.93/14.37 | | | | | (3052) all_26_30 = e13
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | REDUCE: (76), (3050) imply:
% 93.93/14.37 | | | | | (3053) ~ (all_12_6 = e13)
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | REDUCE: (867), (3050) imply:
% 93.93/14.37 | | | | | (3054) ~ (e13 = e12)
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | REDUCE: (869), (3050) imply:
% 93.93/14.37 | | | | | (3055) ~ (e13 = e11)
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | REDUCE: (3043), (3050) imply:
% 93.93/14.37 | | | | | (3056) ~ (e13 = e10)
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | REDUCE: (961), (3050) imply:
% 93.93/14.37 | | | | | (3057) op1(e10, e13) = all_26_11
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | GROUND_INST: instantiating (28) with e11, all_26_7, e10, e10,
% 93.93/14.37 | | | | | simplifying with (13), (3048) gives:
% 93.93/14.37 | | | | | (3058) all_26_7 = e11
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | GROUND_INST: instantiating (28) with all_12_3, all_26_11, e13, e10,
% 93.93/14.37 | | | | | simplifying with (109), (3057) gives:
% 93.93/14.37 | | | | | (3059) all_26_11 = all_12_3
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | BETA: splitting (205) gives:
% 93.93/14.37 | | | | |
% 93.93/14.37 | | | | | Case 1:
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | | (3060) all_16_12 = e13
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | | COMBINE_EQS: (743), (3060) imply:
% 93.93/14.37 | | | | | | (3061) all_12_3 = e13
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | | REDUCE: (855), (3061) imply:
% 93.93/14.37 | | | | | | (3062) $false
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | | CLOSE: (3062) is inconsistent.
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | Case 2:
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | | (3063) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | | BETA: splitting (213) gives:
% 93.93/14.37 | | | | | |
% 93.93/14.37 | | | | | | Case 1:
% 93.93/14.37 | | | | | | |
% 93.93/14.37 | | | | | | | (3064) all_16_2 = e13
% 93.93/14.37 | | | | | | |
% 93.93/14.37 | | | | | | | COMBINE_EQS: (731), (3064) imply:
% 93.93/14.37 | | | | | | | (3065) all_12_8 = e13
% 93.93/14.37 | | | | | | |
% 93.93/14.37 | | | | | | | REDUCE: (860), (3065) imply:
% 93.93/14.37 | | | | | | | (3066) $false
% 93.93/14.37 | | | | | | |
% 93.93/14.37 | | | | | | | CLOSE: (3066) is inconsistent.
% 93.93/14.37 | | | | | | |
% 93.93/14.37 | | | | | | Case 2:
% 93.93/14.37 | | | | | | |
% 93.93/14.37 | | | | | | | (3067) ~ (all_16_2 = e13)
% 93.93/14.38 | | | | | | | (3068) all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10
% 93.93/14.38 | | | | | | |
% 93.93/14.38 | | | | | | | BETA: splitting (211) gives:
% 93.93/14.38 | | | | | | |
% 93.93/14.38 | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | | (3069) all_16_6 = e13
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | | COMBINE_EQS: (732), (3069) imply:
% 93.93/14.38 | | | | | | | | (3070) all_12_9 = e13
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | | SIMP: (3070) implies:
% 93.93/14.38 | | | | | | | | (3071) all_12_9 = e13
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | | REDUCE: (862), (3071) imply:
% 93.93/14.38 | | | | | | | | (3072) $false
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | | CLOSE: (3072) is inconsistent.
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | | (3073) ~ (all_16_6 = e13)
% 93.93/14.38 | | | | | | | | (3074) all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | | BETA: splitting (208) gives:
% 93.93/14.38 | | | | | | | |
% 93.93/14.38 | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | |
% 93.93/14.38 | | | | | | | | | (3075) all_16_9 = e13
% 93.93/14.38 | | | | | | | | |
% 93.93/14.38 | | | | | | | | | COMBINE_EQS: (735), (3075) imply:
% 93.93/14.38 | | | | | | | | | (3076) all_12_6 = e13
% 93.93/14.38 | | | | | | | | |
% 93.93/14.38 | | | | | | | | | REDUCE: (3053), (3076) imply:
% 93.93/14.38 | | | | | | | | | (3077) $false
% 93.93/14.38 | | | | | | | | |
% 93.93/14.38 | | | | | | | | | CLOSE: (3077) is inconsistent.
% 93.93/14.38 | | | | | | | | |
% 93.93/14.38 | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | |
% 93.93/14.38 | | | | | | | | | (3078) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 93.93/14.38 | | | | | | | | |
% 93.93/14.38 | | | | | | | | | BETA: splitting (212) gives:
% 93.93/14.38 | | | | | | | | |
% 93.93/14.38 | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | (3079) all_16_4 = e13
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | COMBINE_EQS: (728), (3079) imply:
% 93.93/14.38 | | | | | | | | | | (3080) all_12_1 = e13
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | COMBINE_EQS: (662), (3080) imply:
% 93.93/14.38 | | | | | | | | | | (3081) all_22_2 = e13
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | COMBINE_EQS: (533), (3080) imply:
% 93.93/14.38 | | | | | | | | | | (3082) all_26_17 = e13
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | REDUCE: (105), (3080) imply:
% 93.93/14.38 | | | | | | | | | | (3083) ~ (all_12_0 = e13)
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | REDUCE: (99), (3080) imply:
% 93.93/14.38 | | | | | | | | | | (3084) ~ (all_12_2 = e13)
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | SIMP: (3084) implies:
% 93.93/14.38 | | | | | | | | | | (3085) ~ (all_12_2 = e13)
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | REDUCE: (98), (3080) imply:
% 93.93/14.38 | | | | | | | | | | (3086) ~ (all_12_3 = e13)
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | REDUCE: (951), (3080) imply:
% 93.93/14.38 | | | | | | | | | | (3087) op1(e13, e13) = all_26_4
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | REDUCE: (117), (3080) imply:
% 93.93/14.38 | | | | | | | | | | (3088) op1(e12, e13) = e13
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | BETA: splitting (323) gives:
% 93.93/14.38 | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | (3089) all_22_0 = e13
% 93.93/14.38 | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | REF_CLOSE: (660), (3083), (3089) are inconsistent by
% 93.93/14.38 | | | | | | | | | | | sub-proof #92.
% 93.93/14.38 | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | (3090) all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 93.93/14.38 | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | BETA: splitting (318) gives:
% 93.93/14.38 | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | (3091) all_22_1 = e13
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | COMBINE_EQS: (664), (3091) imply:
% 93.93/14.38 | | | | | | | | | | | | (3092) all_12_4 = e13
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | SIMP: (3092) implies:
% 93.93/14.38 | | | | | | | | | | | | (3093) all_12_4 = e13
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | COMBINE_EQS: (626), (3093) imply:
% 93.93/14.38 | | | | | | | | | | | | (3094) all_26_18 = e13
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | REDUCE: (86), (3093) imply:
% 93.93/14.38 | | | | | | | | | | | | (3095) ~ (all_12_6 = e13)
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | REDUCE: (85), (3093) imply:
% 93.93/14.38 | | | | | | | | | | | | (3096) ~ (all_12_7 = e13)
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | REDUCE: (84), (3093) imply:
% 93.93/14.38 | | | | | | | | | | | | (3097) ~ (all_12_8 = e13)
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | REDUCE: (953), (3093) imply:
% 93.93/14.38 | | | | | | | | | | | | (3098) op1(e12, e13) = all_26_1
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | GROUND_INST: instantiating (28) with e13, all_26_1, e13, e12,
% 93.93/14.38 | | | | | | | | | | | | simplifying with (3088), (3098) gives:
% 93.93/14.38 | | | | | | | | | | | | (3099) all_26_1 = e13
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_0, all_26_4, e13,
% 93.93/14.38 | | | | | | | | | | | | e13, simplifying with (121), (3087) gives:
% 93.93/14.38 | | | | | | | | | | | | (3100) all_26_4 = all_12_0
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | BETA: splitting (215) gives:
% 93.93/14.38 | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | (3101) all_16_0 = e13
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | COMBINE_EQS: (725), (3101) imply:
% 93.93/14.38 | | | | | | | | | | | | | (3102) all_12_0 = e13
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | SIMP: (3102) implies:
% 93.93/14.38 | | | | | | | | | | | | | (3103) all_12_0 = e13
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | REDUCE: (3083), (3103) imply:
% 93.93/14.38 | | | | | | | | | | | | | (3104) $false
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | CLOSE: (3104) is inconsistent.
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | (3105) ~ (all_16_0 = e13)
% 93.93/14.38 | | | | | | | | | | | | | (3106) all_16_0 = e12 | all_16_0 = e11 | all_16_0 = e10
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | BETA: splitting (209) gives:
% 93.93/14.38 | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | (3107) all_16_8 = e13
% 93.93/14.38 | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | REF_CLOSE: (734), (3085), (3107) are inconsistent by
% 93.93/14.38 | | | | | | | | | | | | | | sub-proof #25.
% 93.93/14.38 | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | (3108) ~ (all_16_8 = e13)
% 93.93/14.38 | | | | | | | | | | | | | | (3109) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 93.93/14.38 | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 93.93/14.38 | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | (3110) all_22_0 = e12
% 93.93/14.38 | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | COMBINE_EQS: (660), (3110) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | (3111) all_12_0 = e12
% 93.93/14.38 | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | REDUCE: (854), (3111) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | (3112) $false
% 93.93/14.38 | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | CLOSE: (3112) is inconsistent.
% 93.93/14.38 | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | (3113) ~ (all_22_0 = e12)
% 93.93/14.38 | | | | | | | | | | | | | | | (3114) all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 93.93/14.38 | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 93.93/14.38 | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | (3115) all_22_2 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (3081), (3115) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | (3116) e13 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | SIMP: (3116) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | (3117) e13 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | REDUCE: (3055), (3117) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | (3118) $false
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | CLOSE: (3118) is inconsistent.
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | (3119) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3120) all_22_0 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (3120) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3121) all_12_0 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (3121) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3122) all_26_16 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (3100), (3121) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3123) all_26_4 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | REDUCE: (104), (3121) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3124) ~ (all_12_2 = e11)
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | SIMP: (3124) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3125) ~ (all_12_2 = e11)
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | REDUCE: (103), (3121) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3126) ~ (all_12_3 = e11)
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | REDUCE: (101), (3121) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3127) ~ (all_12_8 = e11)
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | SIMP: (3127) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3128) ~ (all_12_8 = e11)
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | REDUCE: (3083), (3121) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | (3129) ~ (e13 = e11)
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | (3130) all_22_0 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3120), (3130) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | (3131) e11 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | REDUCE: (3047), (3131) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | (3132) $false
% 93.93/14.38 | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | CLOSE: (3132) is inconsistent.
% 93.93/14.38 | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | (3133) all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | BETA: splitting (3133) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | (3134) all_22_1 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3091), (3134) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | (3135) e13 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | SIMP: (3135) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | (3136) e13 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3136) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | (3137) $false
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | CLOSE: (3137) is inconsistent.
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | (3138) all_22_4 = e10 | all_22_9 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (3138) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | (3139) all_22_4 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (3139) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | (3140) all_12_8 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | SIMP: (3140) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | (3141) all_12_8 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (3141) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | (3142) all_26_22 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (3141) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | (3143) ~ (all_12_9 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3141) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | (3144) ~ (all_12_10 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | SIMP: (3144) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | (3145) ~ (all_12_10 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (3141) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | (3146) ~ (e13 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | (3147) all_22_4 = e12
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3139), (3147) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | (3148) e12 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3148) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | (3149) $false
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3149) is inconsistent.
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | (3150) ~ (all_22_4 = e12)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | (3151) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | (3152) all_22_6 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (3152) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | (3153) all_12_2 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3153) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | (3154) all_12_2 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3154) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | (3155) $false
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3155) is inconsistent.
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | (3156) ~ (all_22_6 = e11)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | (3157) all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | (3158) all_22_12 = e12
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (3158) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | (3159) all_12_3 = e12
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (3159) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | (3160) all_26_25 = e12
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (3159) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | (3161) ~ (all_12_2 = e12)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (855), (3159) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | (3162) ~ (e13 = e12)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (3159) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | (3163) ~ (e12 = e11)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | (3164) all_22_6 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (3164) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_12_2 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3165) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_12_2 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3166) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_26_20 = e10
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3166) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | (3168) ~ (all_12_6 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3168) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | (3169) ~ (all_12_6 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_22_2 = e12
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3054), (3081), (3170) are inconsistent by
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | (3171) ~ (all_22_2 = e12)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) (all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e10))) | (all_26_16 = e11 &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e13) | ~ (all_26_22 = e13)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e12) | ~ (all_26_22 = e12)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e11) | ~ (all_26_22 = e11)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e10) | ~ (all_26_22 = e10))) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) & ( ~ (all_26_25 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10))) | (all_26_19 = e13 &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_17 = e13) | ~ (all_26_18 = e13)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_17 = e12) | ~ (all_26_18 = e12)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_17 = e11) | ~ (all_26_18 = e11)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_17 = e10) | ~ (all_26_18 = e10))) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e11)) & ( ~ (all_26_21 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e10))) | (all_26_19 = e10 &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e12) | ~ (all_26_29 = e12)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10)))
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3173) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) (all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e10))) | (all_26_16 = e11 &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e13) | ~ (all_26_22 = e13)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e12) | ~ (all_26_22 = e12)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e11) | ~ (all_26_22 = e11)) &
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e10) | ~ (all_26_22 = e10))) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) & ( ~ (all_26_25 = e10)
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10)))
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3174) gives:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e12)) & ( ~ (all_26_17 = e11) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10))
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3175) implies:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) all_26_16 = e12
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3122), (3176) imply:
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) e12 = e11
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3177) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) e12 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3163), (3178) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3179) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) (all_26_16 = e11 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e10))) | (all_26_16 = e10 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e13) | ~ (all_26_28 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e12) | ~ (all_26_28 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e11) | ~ (all_26_28 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e10) | ~ (all_26_28 = e10)))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3180) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_26_16 = e11 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3181) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) ~ (all_26_20 = e10) | ~ (all_26_22 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3142), (3167), (3182) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3183) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) ~ (all_26_25 = e12) | ~ (all_26_28 = e12)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (3160), (3184) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) (all_26_19 = e13 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e10))) | (all_26_19 = e11 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e10)))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3185) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_26_19 = e13 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e12)) & ( ~ (all_26_17 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3186) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_26_19 = e13
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (801), (3187) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) all_12_5 = e13
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (3188) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) all_22_3 = e13
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3037), (3045), (3047), (3054), (3055), (3119),
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163), (3172), (3189) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) (all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e11)) & ( ~ (all_26_21 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e10))) | (all_26_19 = e10 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e12) | ~ (all_26_29 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10)))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3190) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3191) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_26_19 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) ~ (all_26_21 = e12) | ~ (all_26_23 = e12)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (801), (3192) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_12_5 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (3194) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) ~ (all_12_6 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3195) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) ~ (all_12_6 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (3194) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) ~ (all_12_9 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3197) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) ~ (all_12_9 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_16_9 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (3199) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_12_6 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3200) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) all_12_6 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3196), (3201) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3202) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_16_9 = e12 | all_16_9 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3203) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_16_9 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (3204) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_12_6 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3205) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_12_6 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (3206) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_26_21 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_16_6 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3208) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_12_9 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3209) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) all_12_9 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3198), (3210) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3211) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) all_16_6 = e12 | all_16_6 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3212) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) all_16_6 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3213) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) all_12_9 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3214) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) all_12_9 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3215) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) all_26_23 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3193) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) ~ (all_26_21 = e12)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3207), (3217) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3218) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) ~ (all_26_23 = e12)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3219) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3220) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_16_6 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3221) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_12_9 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3222) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_12_9 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3223) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3224) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) all_16_9 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (3169), (3225) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #17.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3226) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_26_19 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (801), (3227) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_12_5 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3040), (3228) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3229) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) (all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e10))) | (all_26_24 = e12 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10))) | (all_26_31 = e13 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e13) | ~ (all_26_28 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e12) | ~ (all_26_28 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e11) | ~ (all_26_28 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e10) | ~ (all_26_28 = e10))) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e10))) | (all_26_31 = e11 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3230) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) (all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e10))) | (all_26_24 = e12 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10)))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3231) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3232) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) ~ (all_26_20 = e10) | ~ (all_26_22 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3142), (3167), (3233) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) (all_26_24 = e12 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e11)) & ( ~ (all_26_21 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e10))) | (all_26_24 = e10 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3234) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) all_26_24 = e12 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3235) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) all_26_24 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) ~ (all_26_21 = e11) | ~ (all_26_23 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (3236) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_12_10 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (3238) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) ~ (all_12_6 = e12)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) all_16_9 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (3240) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_12_6 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3241) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_12_6 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (3242) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) all_26_21 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (3242) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) ~ (all_12_5 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) all_16_6 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3245) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_12_9 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3246) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_12_9 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3247) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_26_23 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3237) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) ~ (all_26_21 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3243), (3249) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3250) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) ~ (all_26_23 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3248), (3251) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3252) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) ~ (all_16_6 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) all_16_6 = e12 | all_16_6 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (3253) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) ~ (all_12_9 = e11)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3119) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_22_3 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (3256) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_12_5 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3257) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) all_12_5 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3244), (3258) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3259) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) all_22_5 = e11 | all_22_10 = e11
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (674), (732), (3037), (3041), (3047), (3254),
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255), (3260) are inconsistent by sub-proof #16.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_16_9 = e12 | all_16_9 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3261) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_16_9 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (3262) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_12_6 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3263) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) all_12_6 = e12
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3239), (3264) imply:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) $false
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3265) is inconsistent.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_16_9 = e10
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (3169), (3266) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #17.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3267) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) ~ (all_26_27 = e13) | ~ (all_26_30 = e13)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (799), (3052), (3268) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) (all_26_31 = e13 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) & ( ~ (all_26_25 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10))) | (all_26_31 = e12 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e12) | ~ (all_26_29 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10))) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10)))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3269) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_26_31 = e13 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3270) implies:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) ~ (all_26_25 = e12) | ~ (all_26_28 = e12)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (3160), (3271) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) (all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10)
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e10))) | (all_26_31 = e11 &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3272) gives:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e10))
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (3163), (3273) are inconsistent by
% 93.93/14.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3274) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) ~ (all_26_27 = e13) | ~ (all_26_30 = e13)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (799), (3052), (3275) are inconsistent by
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | (3276) ~ (all_22_6 = e10)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (3276) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | (3277) ~ (all_12_2 = e10)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (734), (3109), (3125), (3161), (3277) are
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | (3278) ~ (all_22_12 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | (3279) all_22_13 = e12 | all_22_14 = e12 | all_22_15 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (501), (3278) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | (3280) ~ (all_12_3 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3114) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_22_2 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3054), (3081), (3281) are inconsistent by
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_22_6 = e12 | all_22_12 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3282) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3283) all_22_6 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (3283) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_12_2 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3284) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_12_2 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3285) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3286) all_26_20 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (963), (3285) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3287) all_26_14 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (3285) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3288) ~ (all_12_3 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3285) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3289) ~ (all_12_6 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3289) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3290) ~ (all_12_6 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3285) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3291) ~ (all_12_10 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3291) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3292) ~ (all_12_10 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3085), (3285) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3293) ~ (e13 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3285) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3294) ~ (e12 = e11)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_22_6 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3283), (3295) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) e12 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3296) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) e12 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3297) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) $false
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3298) is inconsistent.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3299) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) all_22_7 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (3300) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) all_12_6 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3301) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) all_12_6 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (3302) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) all_26_21 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e12)) | (all_26_20 = e13 & all_26_22 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & ~ (all_26_16 = e13) & ~ (all_26_17 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_25 = e10) & ~ (e13 = e11))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e11 & all_26_22 = e11 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10) & ~ (e13 = e11)) | (all_26_21
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_23 = e12 & ~ (all_26_18 = e13) &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3304) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e12))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3305) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3306) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) ~ (all_26_25 = e10)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) ~ (all_26_16 = e13)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (3307) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) ~ (all_12_3 = e10)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3157) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) all_22_7 = e11
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (3310) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) e11 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3047), (3311) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) $false
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3312) is inconsistent.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) all_22_8 = e11 | all_22_11 = e11
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3313) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314) all_22_8 = e11
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (3314) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315) all_12_10 = e11
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3315) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3316) all_12_10 = e11
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (3316) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_26_24 = e11
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (3316) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) ~ (all_12_9 = e11)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3292), (3316) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) ~ (e12 = e11)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) (all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)) | (all_26_2 = e11 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_20 = all_26_22 & ~ (all_26_22 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_3 = e10 & all_26_25 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 & ~ (all_26_28 = all_26_31)) |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)) | (all_26_6 = e11 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_23 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_7 = e10 & all_26_26 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 & ~ (all_26_29 = all_26_31))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3320) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) (all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)) | (all_26_2 = e11 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_20 = all_26_22 & ~ (all_26_22 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_3 = e10 & all_26_25 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 & ~ (all_26_28 = all_26_31))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3321) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) all_26_1 = e12 & all_26_17 = all_26_18 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = all_26_19)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3322) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) all_26_1 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3099), (3323) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) e13 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3054), (3324) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) $false
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3325) is inconsistent.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) (all_26_2 = e11 & all_26_20 = all_26_22 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = all_26_24)) | (all_26_3 = e10 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_25 = all_26_28 & ~ (all_26_28 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3326) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) all_26_2 = e11 & all_26_20 = all_26_22 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = all_26_24)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3327) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) all_26_20 = all_26_22
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3045), (3142), (3286), (3328) are inconsistent by
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) all_26_3 = e10 & all_26_25 = all_26_28 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = all_26_31)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (680), (796), (962), (3045), (3054),
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279), (3294), (3329) are inconsistent by
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) (all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)) | (all_26_6 = e11 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_23 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24)) | (all_26_7 = e10 & all_26_26 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 & ~ (all_26_29 = all_26_31))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3330) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) all_26_4 = e13 & all_26_17 = all_26_18 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_18)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3331) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) all_26_4 = e13
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3123), (3332) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) e13 = e11
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3333) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) e13 = e11
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3055), (3334) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) $false
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3335) is inconsistent.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) (all_26_6 = e11 & all_26_21 = all_26_23 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = all_26_24)) | (all_26_7 = e10 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_29 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3336) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) all_26_6 = e11 & all_26_21 = all_26_23 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = all_26_24)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3337) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_26_21 = all_26_23
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (3041), (3303), (3338) are inconsistent by
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) all_26_7 = e10 & all_26_26 = all_26_29 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = all_26_31)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3339) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) all_26_7 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3058), (3340) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) e11 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3314), (3341) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_22_8 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3317), (3341) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) all_26_24 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3122), (3341) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) all_26_16 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (90), (304), (317), (389), (489), (492),
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501), (525), (529), (629), (643), (669), (674),
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680), (732), (743), (796), (799), (800), (801),
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855), (856), (858), (859), (3037), (3041),
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047), (3052), (3056), (3063), (3074), (3082),
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091), (3094), (3119), (3151), (3309), (3318),
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342), (3343), (3344) are inconsistent by
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) (all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)) | (all_26_9 = e12 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_19 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23)) | (all_26_11 = e10 & all_26_27 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_30 = all_26_31)) |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)) | (all_26_13 = e12 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_19 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29)) | (all_26_14 = e11 & all_26_27 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_24 = all_26_30))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3345) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) (all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)) | (all_26_9 = e12 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_21 = all_26_23 & ~ (all_26_19 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23)) | (all_26_11 = e10 & all_26_27 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_30 = all_26_31))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3346) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_26_8 = e13 & all_26_20 = all_26_22 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_22)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3347) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_26_20 = all_26_22
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3045), (3142), (3286), (3348) are inconsistent by
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) (all_26_9 = e12 & all_26_21 = all_26_23 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_23)) | (all_26_11 = e10 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = all_26_30 & ~ (all_26_30 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3349) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) all_26_9 = e12 & all_26_21 = all_26_23 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_23)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3350) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) all_26_21 = all_26_23
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (3041), (3303), (3351) are inconsistent by
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_26_11 = e10 & all_26_27 = all_26_30 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = all_26_31)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3352) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_26_11 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3059), (3353) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_12_3 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3354) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) $false
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3355) is inconsistent.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) (all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)) | (all_26_13 = e12 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = all_26_29 & ~ (all_26_19 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29)) | (all_26_14 = e11 & all_26_27 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 & ~ (all_26_24 = all_26_30))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3356) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_26_12 = e13 & all_26_25 = all_26_28 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = all_26_28)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3357) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_26_25 = all_26_28
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (3358) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_26_28 = all_12_3
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (3359) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_12_3 = e12
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3280), (3360) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) $false
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3361) is inconsistent.
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) (all_26_13 = e12 & all_26_26 = all_26_29 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_29)) | (all_26_14 = e11 &
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = all_26_30 & ~ (all_26_24 =
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30))
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3362) gives:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_26_13 = e12 & all_26_26 = all_26_29 & ~
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = all_26_29)
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3363) implies:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) all_26_26 = all_26_29
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (3364) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_26_29 = all_12_7
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3038), (3365) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_12_7 = e10
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (3366) imply:
% 93.93/14.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) all_22_13 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (796), (3045), (3054), (3279), (3294),
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) are inconsistent by sub-proof #65.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) all_26_14 = e11 & all_26_27 = all_26_30 & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = all_26_30)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3368) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) all_26_14 = e11
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3287), (3369) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) e12 = e11
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3370) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) e12 = e11
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3294), (3371) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3372) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_22_11 = e11
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3051), (3055), (3373) are inconsistent by
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_26_17 = e12 & all_26_18 = e12 & ~ (all_26_19
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_21 = e11) & ~ (all_26_26 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3374) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_26_18 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3094), (3375) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) e13 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3054), (3376) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3377) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) (all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_20 = e11 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_22 = e11 & ~ (all_26_23 = e12) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (all_26_27 = e10) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e11)) | (all_26_21 = e12 & all_26_23 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_26 = e10) & ~ (e12 = e11))
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3378) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3379) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_26_22 = e13
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_26_20 = e13
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3286), (3381) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) e13 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3382) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) e13 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3142), (3380) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) e13 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3383), (3384) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) e12 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3385) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) e12 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3386) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3387) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) (all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_21 = e12 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12 & ~ (all_26_18 = e13) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3388) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3047), (3142), (3389) are inconsistent by
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) all_26_21 = e12 & all_26_23 = e12 & ~ (all_26_18
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_26 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3390) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) all_26_21 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3303), (3391) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) e12 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3392) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3393) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e10)) | (all_26_26 = e12 & all_26_29 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_21 = e11) & ~ (e12 = e10))
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e11 & all_26_30 = e11 & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13) & ~ (all_26_23 = e12) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (e11 = e10)) | ( ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e10 & all_26_29 = e10) |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10 & all_26_30 = e10)))
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3394) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e10))
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3395) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3396) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_26_21 = e11
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3303), (3397) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) e11 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3047), (3398) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3399) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_26_25 = e13 & all_26_28 = e13 & ~ (all_26_16
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_20 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e13 = e10)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (3054), (3400) are inconsistent by
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) (all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e12 = e10)) | (all_26_27 = e11 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e11 & ~ (all_26_22 = e13) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e11 = e10)) | ( ~ (all_26_28 = e13) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12) & ~ (all_26_30 = e11) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10) & ((all_26_25 = e10 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10) | (all_26_26 = e10 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3401) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e12 = e10)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3402) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) all_26_29 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_26_26 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (3404) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) all_12_7 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3038), (3403) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) e12 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3406) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) e12 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3405), (3407) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) all_12_7 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (3408) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_22_13 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (796), (3045), (3054), (3279), (3294),
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) are inconsistent by sub-proof #65.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) (all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e11 = e10)) | ( ~ (all_26_28 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_29 = e12) & ~ (all_26_30 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_31 = e10) & ((all_26_25 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e10) | (all_26_26 = e10 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3410) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e11 = e10)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3052), (3055), (3411) are inconsistent by
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) ~ (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) | (all_26_26
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10))
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3412) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) ~ (all_26_29 = e12)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) ~ (all_26_28 = e13)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) (all_26_25 = e10 & all_26_28 = e10) | (all_26_26 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3415) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) all_26_25 = e10 & all_26_28 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3416) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) all_26_28 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (3417) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) e12 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3418) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3419) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) (all_26_26 = e10 & all_26_29 = e10) | (all_26_27 =
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_30 = e10)
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3420) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) all_26_26 = e10 & all_26_29 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3421) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) all_26_26 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (3422) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) all_12_7 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (3423) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) all_22_13 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (796), (3045), (3054), (3279), (3294),
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) are inconsistent by sub-proof #65.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_26_27 = e10 & all_26_30 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3052), (3056), (3425) are inconsistent by
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) all_22_8 = e10 | all_22_11 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3426) gives:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) all_22_8 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (3427) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) all_12_10 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3428) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_12_10 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3145), (3429) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3430) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_22_11 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3051), (3431) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) e13 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3432) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) e13 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3433) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3434) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | (3435) all_22_12 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (3435) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | (3436) all_12_3 = e12
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3280), (3436) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | (3437) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3437) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | (3438) all_22_9 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3438) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | (3439) e12 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | SIMP: (3439) implies:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | (3440) e12 = e10
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3440) imply:
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | (3441) $false
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | | CLOSE: (3441) is inconsistent.
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | End of split
% 93.93/14.41 | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.41 | | | | | | | | | | | | | | | | |
% 93.93/14.41 | | | | | | | | | | | | | | | | | (3442) ~ (all_22_0 = e11)
% 93.93/14.41 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | REDUCE: (660), (3442) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3443) ~ (all_12_0 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | BETA: splitting (3106) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3444) all_16_0 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (3443), (3444) are inconsistent by
% 93.93/14.42 | | | | | | | | | | | | | | | | | | sub-proof #51.
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3445) all_16_0 = e12 | all_16_0 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | BETA: splitting (3445) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3446) all_16_0 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (854), (3446) are inconsistent by sub-proof
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | #50.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3447) all_16_0 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (3447) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3448) all_12_0 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | SIMP: (3448) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3449) all_12_0 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (3449) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3450) all_26_16 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | REDUCE: (103), (3449) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3451) ~ (all_12_3 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | SIMP: (3451) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3452) ~ (all_12_3 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | REDUCE: (101), (3449) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3453) ~ (all_12_8 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | SIMP: (3453) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3454) ~ (all_12_8 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | REDUCE: (3083), (3449) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3455) ~ (e13 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (3068) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3456) all_16_2 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (731), (3456) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3457) all_12_8 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | SIMP: (3457) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3458) all_12_8 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (3458) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3459) all_22_4 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (3458) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3460) ~ (all_12_9 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | SIMP: (3460) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3461) ~ (all_12_9 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3458) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3462) ~ (all_12_10 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | SIMP: (3462) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3463) ~ (all_12_10 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (3458) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3464) ~ (e12 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | SIMP: (3464) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3465) ~ (e12 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | (3466) all_22_4 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3047), (3459), (3466) are inconsistent by
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | sub-proof #105.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | (3467) all_22_5 = e10 | all_22_8 = e10 | all_22_14 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3467) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | (3468) all_22_5 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (674), (3468) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | (3469) all_12_9 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3469) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | (3470) all_12_9 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3470) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | (3471) $false
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3471) is inconsistent.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | (3472) all_22_8 = e10 | all_22_14 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3472) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3473) all_22_8 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (3473) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3474) all_12_10 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3474) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3475) all_12_10 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (3475) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3476) all_26_24 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_22_4 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3459), (3477) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (3478) e12 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3465), (3478) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (3479) $false
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3479) is inconsistent.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (90), (304), (317), (389), (489), (492),
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (501), (525), (529), (629), (643), (669), (674),
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (680), (732), (743), (796), (799), (800), (801),
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (855), (856), (858), (859), (3037), (3041),
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (3047), (3052), (3056), (3063), (3074), (3082),
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (3091), (3094), (3119), (3450), (3452), (3461),
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (3473), (3476), (3480) are inconsistent by
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3481) all_22_14 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (3056), (3481) are inconsistent by
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3482) all_16_2 = e12 | all_16_2 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (731), (861), (3454), (3482) are inconsistent by
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | (3483) ~ (all_22_1 = e13)
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | REDUCE: (664), (3483) imply:
% 93.93/14.42 | | | | | | | | | | | | (3484) ~ (all_12_4 = e13)
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | REF_CLOSE: (664), (672), (684), (860), (3054), (3090), (3484)
% 93.93/14.42 | | | | | | | | | | | | are inconsistent by sub-proof #2.
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | End of split
% 93.93/14.42 | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | (3485) ~ (all_16_4 = e13)
% 93.93/14.42 | | | | | | | | | | (3486) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 93.93/14.42 | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | REDUCE: (728), (3485) imply:
% 93.93/14.42 | | | | | | | | | | (3487) ~ (all_12_1 = e13)
% 93.93/14.42 | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | BETA: splitting (315) gives:
% 93.93/14.42 | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | (3488) all_22_2 = e13
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | COMBINE_EQS: (662), (3488) imply:
% 93.93/14.42 | | | | | | | | | | | (3489) all_12_1 = e13
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | SIMP: (3489) implies:
% 93.93/14.42 | | | | | | | | | | | (3490) all_12_1 = e13
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | REDUCE: (3487), (3490) imply:
% 93.93/14.42 | | | | | | | | | | | (3491) $false
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | CLOSE: (3491) is inconsistent.
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | (3492) all_22_3 = e13 | all_22_5 = e13 | all_22_10 = e13
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | BETA: splitting (3492) gives:
% 93.93/14.42 | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | (3493) all_22_3 = e13
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | COMBINE_EQS: (529), (3493) imply:
% 93.93/14.42 | | | | | | | | | | | | (3494) all_12_5 = e13
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | SIMP: (3494) implies:
% 93.93/14.42 | | | | | | | | | | | | (3495) all_12_5 = e13
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | COMBINE_EQS: (801), (3495) imply:
% 93.93/14.42 | | | | | | | | | | | | (3496) all_26_19 = e13
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | REDUCE: (87), (3495) imply:
% 93.93/14.42 | | | | | | | | | | | | (3497) ~ (all_12_4 = e13)
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | REDUCE: (82), (3495) imply:
% 93.93/14.42 | | | | | | | | | | | | (3498) ~ (all_12_6 = e13)
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | REDUCE: (81), (3495) imply:
% 93.93/14.42 | | | | | | | | | | | | (3499) ~ (all_12_7 = e13)
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | REDUCE: (80), (3495) imply:
% 93.93/14.42 | | | | | | | | | | | | (3500) ~ (all_12_9 = e13)
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | BETA: splitting (323) gives:
% 93.93/14.42 | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | (3501) all_22_0 = e13
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | COMBINE_EQS: (660), (3501) imply:
% 93.93/14.42 | | | | | | | | | | | | | (3502) all_12_0 = e13
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | SIMP: (3502) implies:
% 93.93/14.42 | | | | | | | | | | | | | (3503) all_12_0 = e13
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | COMBINE_EQS: (623), (3503) imply:
% 93.93/14.42 | | | | | | | | | | | | | (3504) all_26_16 = e13
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | REDUCE: (105), (3503) imply:
% 93.93/14.42 | | | | | | | | | | | | | (3505) ~ (all_12_1 = e13)
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | REDUCE: (104), (3503) imply:
% 93.93/14.42 | | | | | | | | | | | | | (3506) ~ (all_12_2 = e13)
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | SIMP: (3506) implies:
% 93.93/14.42 | | | | | | | | | | | | | (3507) ~ (all_12_2 = e13)
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | REDUCE: (102), (3503) imply:
% 93.93/14.42 | | | | | | | | | | | | | (3508) ~ (all_12_4 = e13)
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | REDUCE: (101), (3503) imply:
% 93.93/14.42 | | | | | | | | | | | | | (3509) ~ (all_12_8 = e13)
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | BETA: splitting (214) gives:
% 93.93/14.42 | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | (3510) all_16_1 = e13
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | COMBINE_EQS: (726), (3510) imply:
% 93.93/14.42 | | | | | | | | | | | | | | (3511) all_12_4 = e13
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | SIMP: (3511) implies:
% 93.93/14.42 | | | | | | | | | | | | | | (3512) all_12_4 = e13
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | REDUCE: (3497), (3512) imply:
% 93.93/14.42 | | | | | | | | | | | | | | (3513) $false
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | CLOSE: (3513) is inconsistent.
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | (3514) ~ (all_16_1 = e13)
% 93.93/14.42 | | | | | | | | | | | | | | (3515) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 93.93/14.42 | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | (3516) all_16_8 = e13
% 93.93/14.42 | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | REF_CLOSE: (734), (3507), (3516) are inconsistent by
% 93.93/14.42 | | | | | | | | | | | | | | | sub-proof #25.
% 93.93/14.42 | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | (3517) ~ (all_16_8 = e13)
% 93.93/14.42 | | | | | | | | | | | | | | | (3518) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 93.93/14.42 | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 93.93/14.42 | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | (3519) all_22_4 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (3519) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | (3520) all_12_8 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | SIMP: (3520) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | (3521) all_12_8 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (3521) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | (3522) all_26_22 = e10
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | REDUCE: (84), (3521) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | (3523) ~ (all_12_4 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | REDUCE: (73), (3521) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | (3524) ~ (all_12_9 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | REDUCE: (72), (3521) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | (3525) ~ (all_12_10 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | SIMP: (3525) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | (3526) ~ (all_12_10 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | REDUCE: (860), (3521) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | (3527) ~ (e13 = e10)
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | BETA: splitting (3515) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3528) all_16_1 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (3528) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3529) all_12_4 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | SIMP: (3529) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3530) all_12_4 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (3530) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3531) all_26_18 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | REDUCE: (86), (3530) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3532) ~ (all_12_6 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | SIMP: (3532) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3533) ~ (all_12_6 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | REDUCE: (3497), (3530) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3534) ~ (e13 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | REDUCE: (857), (3530) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3535) ~ (e12 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | SIMP: (3535) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | (3536) ~ (e12 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3537) all_22_2 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3537) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3538) all_12_1 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | SIMP: (3538) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3539) all_12_1 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (3539) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3540) all_26_17 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | REDUCE: (99), (3539) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3541) ~ (all_12_2 = e12)
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | SIMP: (3541) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3542) ~ (all_12_2 = e12)
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | REDUCE: (98), (3539) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3543) ~ (all_12_3 = e12)
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | SIMP: (3543) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3544) ~ (all_12_3 = e12)
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | REDUCE: (3487), (3539) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | (3545) ~ (e13 = e12)
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3546) all_22_2 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3537), (3546) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3547) e12 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | SIMP: (3547) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3548) e12 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | REDUCE: (3536), (3548) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3549) $false
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | CLOSE: (3549) is inconsistent.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3550) ~ (all_22_2 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | (3551) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3552) all_22_12 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (3552) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3553) all_12_3 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | SIMP: (3553) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3554) all_12_3 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (3544), (3554) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3555) $false
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | CLOSE: (3555) is inconsistent.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | (3556) all_22_13 = e12 | all_22_14 = e12 | all_22_15 =
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3556) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | (3557) all_22_13 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (3557) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | (3558) all_12_7 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | SIMP: (3558) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | (3559) all_12_7 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (3559) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | (3560) all_26_26 = e12
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3551) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | (3561) all_22_3 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3055), (3493), (3561) are inconsistent by
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | (3562) all_22_5 = e11 | all_22_10 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3563) all_16_6 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3563) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3564) all_12_9 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3564) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3565) all_12_9 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3565) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3566) all_26_23 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (3565) imply:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3567) ~ (all_12_10 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3567) implies:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | (3568) ~ (all_12_10 = e11)
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_22_6 = e11
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (3569) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_12_2 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3570) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (3571) all_12_2 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3571) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (3572) all_26_20 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3573) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e12)) | (all_26_20 = e13 & all_26_22 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | e13 & ~ (all_26_16 = e13) & ~ (all_26_17 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_25 = e10) & ~ (e13 = e11))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e11 & all_26_22 = e11 & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10) & ~ (e13 = e11)) | (all_26_21
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_23 = e12 & ~ (all_26_18 = e13) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3573) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e12))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3574) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3575) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) all_26_18 = e13
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_26_17 = e13
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3540), (3577) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) e13 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3578) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) e13 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3531), (3576) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) e13 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3579), (3580) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) e12 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3536), (3581) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3582) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) all_26_17 = e12 & all_26_18 = e12 & ~ (all_26_19
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_21 = e11) & ~ (all_26_26 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3583) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) all_26_18 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3531), (3584) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) e12 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3536), (3585) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3586) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) (all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_20 = e11 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_22 = e11 & ~ (all_26_23 = e12) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (all_26_27 = e10) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e11)) | (all_26_21 = e12 & all_26_23 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_26 = e10) & ~ (e12 = e11))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3587) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3588) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) all_26_22 = e13
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) all_26_20 = e13
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3572), (3590) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) e13 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3591) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) e13 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3522), (3589) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) e13 = e10
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3592), (3593) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) e11 = e10
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3047), (3594) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3595) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) (all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_21 = e12 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12 & ~ (all_26_18 = e13) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3596) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3047), (3522), (3597) are inconsistent by
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) all_26_21 = e12 & all_26_23 = e12 & ~ (all_26_18
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_26 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3598) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) all_26_23 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3566), (3599) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) e12 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3536), (3600) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3601) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3602) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e10)) | (all_26_26 = e12 & all_26_29 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_21 = e11) & ~ (e12 = e10))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e11 & all_26_30 = e11 & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13) & ~ (all_26_23 = e12) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (e11 = e10)) | ( ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e10 & all_26_29 = e10) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10 & all_26_30 = e10)))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e10))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3603) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3604) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) all_26_21 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (3605) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) all_12_6 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3533), (3606) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3607) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) all_26_25 = e13 & all_26_28 = e13 & ~ (all_26_16
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_20 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e13 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (3054), (3608) are inconsistent by
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) (all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e12 = e10)) | (all_26_27 = e11 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e11 & ~ (all_26_22 = e13) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (e11 = e10)) | ( ~ (all_26_28 = e13) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12) & ~ (all_26_30 = e11) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10) & ((all_26_25 = e10 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10) | (all_26_26 = e10 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3609) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e12 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3610) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) all_26_29 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3038), (3611) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) e12 = e10
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3557), (3612) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) all_22_13 = e10
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (796), (3045), (3054), (3536), (3556),
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) are inconsistent by sub-proof #65.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) (all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e11 = e10)) | ( ~ (all_26_28 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_29 = e12) & ~ (all_26_30 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_31 = e10) & ((all_26_25 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e10) | (all_26_26 = e10 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3614) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e11 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3615) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) all_26_30 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3052), (3616) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) e13 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3617) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) e13 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3055), (3618) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3619) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) ~ (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) | (all_26_26
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3620) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) (all_26_25 = e10 & all_26_28 = e10) | (all_26_26 =
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (629), (796), (3045), (3052), (3054),
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056), (3536), (3556), (3557), (3560), (3621) are
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (3622) all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3622) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3623) all_22_7 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (3623) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3624) all_12_6 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3533), (3624) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3625) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3625) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3626) all_22_8 = e11 | all_22_11 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3626) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) all_22_8 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (3627) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) all_12_10 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3628) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) all_12_10 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3568), (3629) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3630) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) all_22_11 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3051), (3055), (3631) are inconsistent by
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | (3632) ~ (all_16_6 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (3632) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | (3633) ~ (all_12_9 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (674), (732), (3037), (3041), (3047), (3074),
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | (3562), (3633) are inconsistent by sub-proof #9.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | (3634) all_22_14 = e12 | all_22_15 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (796), (3054), (3536), (3634) are
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.43 | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | (3635) all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | BETA: splitting (3486) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | (3636) all_16_4 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (3636) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | (3637) all_12_1 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (3637) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | (3638) all_26_17 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | REDUCE: (96), (3637) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | (3639) ~ (all_12_9 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | SIMP: (3639) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | (3640) ~ (all_12_9 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | (3641) all_16_6 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3641) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | (3642) all_12_9 = e11
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (3640), (3642) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | (3643) $false
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | CLOSE: (3643) is inconsistent.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | (3644) ~ (all_16_6 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | (3645) all_16_6 = e12 | all_16_6 = e10
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3645) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | (3646) all_16_6 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3646) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | (3647) all_12_9 = e12
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (3647) imply:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | (3648) ~ (all_12_10 = e12)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | SIMP: (3648) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | (3649) ~ (all_12_10 = e12)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | (3650) (all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e10))) | (all_26_16 = e11 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e13) | ~ (all_26_22 = e13)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e12) | ~ (all_26_22 = e12)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e11) | ~ (all_26_22 = e11)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e10) | ~ (all_26_22 = e10))) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) & ( ~ (all_26_25 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10))) | (all_26_19 = e13 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_17 = e13) | ~ (all_26_18 = e13)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_17 = e12) | ~ (all_26_18 = e12)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_17 = e11) | ~ (all_26_18 = e11)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_17 = e10) | ~ (all_26_18 = e10))) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e11)) & ( ~ (all_26_21 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e10))) | (all_26_19 = e10 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e12) | ~ (all_26_29 = e12)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10)))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3650) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | (3651) (all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e10))) | (all_26_16 = e11 &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e13) | ~ (all_26_22 = e13)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e12) | ~ (all_26_22 = e12)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e11) | ~ (all_26_22 = e11)) &
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_20 = e10) | ~ (all_26_22 = e10))) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | (all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) & ( ~ (all_26_25 = e10)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10)))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3651) gives:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e12)) & ( ~ (all_26_17 = e11) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10))
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3652) implies:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | (3653) ~ (all_26_17 = e11) | ~ (all_26_18 = e11)
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3531), (3638), (3653) are inconsistent by
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3654) (all_26_16 = e11 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e10))) | (all_26_16 = e10 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e13) | ~ (all_26_28 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e12) | ~ (all_26_28 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e11) | ~ (all_26_28 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e10) | ~ (all_26_28 = e10)))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3654) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3655) all_26_16 = e11 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3655) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_26_16 = e11
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3504), (3656) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3657) e13 = e11
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3055), (3657) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3658) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3658) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3659) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_26_16 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3504), (3660) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3661) e13 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3661) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3662) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3662) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (3663) (all_26_19 = e13 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_18 = e10))) | (all_26_19 = e11 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e10)))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3663) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_26_19 = e13 & ( ~ (all_26_17 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e12)) & ( ~ (all_26_17 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3664) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3665) ~ (all_26_17 = e11) | ~ (all_26_18 = e11)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3531), (3638), (3665) are inconsistent by
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3666) (all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e11)) & ( ~ (all_26_21 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e10))) | (all_26_19 = e10 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e12) | ~ (all_26_29 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10)))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3666) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3667) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_26_19 = e11
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3496), (3668) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3669) e13 = e11
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3055), (3669) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3670) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3670) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3671) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3672) all_26_19 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3496), (3672) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3673) e13 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3673) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3674) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3674) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | (3675) (all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e10))) | (all_26_24 = e12 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10))) | (all_26_31 = e13 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e13) | ~ (all_26_28 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e12) | ~ (all_26_28 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e11) | ~ (all_26_28 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_25 = e10) | ~ (all_26_28 = e10))) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e10))) | (all_26_31 = e11 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3675) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (3676) (all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_22 = e10))) | (all_26_24 = e12 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10)))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3676) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3677) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_26_24 = e13
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (3678) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3679) all_12_10 = e13
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (863), (3679) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3680) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3680) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3681) (all_26_24 = e12 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e11)) & ( ~ (all_26_21 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_23 = e10))) | (all_26_24 = e10 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3681) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_26_24 = e12 & ( ~ (all_26_21 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3682) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3683) all_26_24 = e12
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (3683) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_12_10 = e12
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3649), (3684) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3685) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3685) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3686) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_26_24 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (3687) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_12_10 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3526), (3688) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3689) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3689) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (3690) (all_26_31 = e13 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) & ( ~ (all_26_25 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10))) | (all_26_31 = e12 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e12) | ~ (all_26_29 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10))) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10)))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3690) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_26_31 = e13 & ( ~ (all_26_25 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3691) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_26_31 = e13
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (3692) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3693) e13 = e11
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3055), (3693) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3694) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3694) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3695) (all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e10))) | (all_26_31 = e11 &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3695) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (3536), (3696) are inconsistent by
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3697) all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3697) implies:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3698) ~ (all_26_27 = e13) | ~ (all_26_30 = e13)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (799), (3052), (3698) are inconsistent by
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | (3699) all_16_6 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3699) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | (3700) all_12_9 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3700) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | (3701) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3701) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | (3702) ~ (all_16_4 = e11)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | REDUCE: (728), (3702) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | (3703) ~ (all_12_1 = e11)
% 93.93/14.44 | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | (3704) all_22_2 = e11
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (3703), (3704) are inconsistent by
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | (3705) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3037), (3045), (3047), (3054), (3055), (3493),
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | (3536), (3635), (3705) are inconsistent by
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | (3706) all_16_1 = e12 | all_16_1 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 93.93/14.44 | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | Case 1:
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | (3707) all_16_1 = e12
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (3707) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | (3708) all_12_4 = e12
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | REDUCE: (857), (3708) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | (3709) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | CLOSE: (3709) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | (3710) all_16_1 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (3710) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | (3711) all_12_4 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | REDUCE: (3523), (3711) imply:
% 93.93/14.44 | | | | | | | | | | | | | | | | | | (3712) $false
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | | CLOSE: (3712) is inconsistent.
% 93.93/14.44 | | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | End of split
% 93.93/14.44 | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | Case 2:
% 93.93/14.44 | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | (3713) ~ (all_22_4 = e10)
% 93.93/14.44 | | | | | | | | | | | | | | | | (3714) all_22_5 = e10 | all_22_8 = e10 | all_22_14 = e10
% 93.93/14.44 | | | | | | | | | | | | | | | |
% 93.93/14.44 | | | | | | | | | | | | | | | | REDUCE: (672), (3713) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | (3715) ~ (all_12_8 = e10)
% 94.25/14.44 | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | BETA: splitting (3068) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | (3716) all_16_2 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | COMBINE_EQS: (731), (3716) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | (3717) all_12_8 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | SIMP: (3717) implies:
% 94.25/14.44 | | | | | | | | | | | | | | | | | (3718) all_12_8 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (3718) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | (3719) all_26_22 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | REDUCE: (84), (3718) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | (3720) ~ (all_12_4 = e11)
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | REDUCE: (73), (3718) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | (3721) ~ (all_12_9 = e11)
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | SIMP: (3721) implies:
% 94.25/14.44 | | | | | | | | | | | | | | | | | (3722) ~ (all_12_9 = e11)
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | REDUCE: (860), (3718) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | (3723) ~ (e13 = e11)
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | (3724) all_22_2 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3724) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | (3725) all_12_1 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | SIMP: (3725) implies:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | (3726) all_12_1 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (3726) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | (3727) all_26_17 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | (3728) all_16_6 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3728) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | (3729) all_12_9 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | REDUCE: (3722), (3729) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | (3730) $false
% 94.25/14.44 | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | CLOSE: (3730) is inconsistent.
% 94.25/14.44 | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | (3731) ~ (all_16_6 = e11)
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | (3732) all_16_6 = e12 | all_16_6 = e10
% 94.25/14.44 | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | (3733) all_22_1 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (3733) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | (3734) all_12_4 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | SIMP: (3734) implies:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | (3735) all_12_4 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | REDUCE: (3720), (3735) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | (3736) $false
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | CLOSE: (3736) is inconsistent.
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | (3737) all_22_3 = e11 | all_22_7 = e11 | all_22_13 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3732) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | (3738) all_16_6 = e12
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3738) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | (3739) all_12_9 = e12
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (674), (3739) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | (3740) all_22_5 = e12
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3739) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | (3741) all_26_23 = e12
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (3739) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | (3742) ~ (e13 = e12)
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3722), (3739) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | (3743) ~ (e12 = e11)
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3714) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | (3744) all_22_5 = e10
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3740), (3744) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | (3745) e12 = e10
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3745) implies:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | (3746) e12 = e10
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3746) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | (3747) $false
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3747) is inconsistent.
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | (3748) all_22_8 = e10 | all_22_14 = e10
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3737) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | (3749) all_22_3 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3055), (3493), (3749) are inconsistent by
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | (3750) all_22_7 = e11 | all_22_13 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3750) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_22_7 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (3751) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_12_6 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3752) implies:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3753) all_12_6 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (3753) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3754) all_26_21 = e11
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3753) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3755) ~ (all_12_2 = e11)
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3753) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | (3756) ~ (all_12_7 = e11)
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3748) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3757) all_22_8 = e10
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (3757) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3758) all_12_10 = e10
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3758) implies:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_12_10 = e10
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3759) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3760) ~ (all_12_2 = e10)
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (863), (3759) imply:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3761) ~ (e13 = e10)
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_22_1 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (3762) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_12_4 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3763) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_12_4 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (3764) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3765) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_22_3 = e12 | all_22_7 = e12 | all_22_13 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3766) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_22_3 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3054), (3493), (3767) are inconsistent by
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) ~ (all_22_3 = e12)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_22_7 = e12 | all_22_13 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e12)) | (all_26_20 = e13 & all_26_22 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & ~ (all_26_16 = e13) & ~ (all_26_17 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_25 = e10) & ~ (e13 = e11))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e11 & all_26_22 = e11 & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10) & ~ (e13 = e11)) | (all_26_21
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_23 = e12 & ~ (all_26_18 = e13) &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3770) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) (all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e12)) | (all_26_17 = e12 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e12 & ~ (all_26_19 = e12) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e11) & ~ (all_26_26 = e10) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e12))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3771) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_26_17 = e13 & all_26_18 = e13 & ~ (all_26_16
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_20 = e11) & ~ (all_26_25 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_26_17 = e13
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3727), (3773) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) e13 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3774) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) e13 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3055), (3775) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3776) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_26_17 = e12 & all_26_18 = e12 & ~ (all_26_19
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_21 = e11) & ~ (all_26_26 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e12)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3777) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_26_17 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3727), (3778) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) e12 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3779) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) e12 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3743), (3780) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3781) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) (all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_20 = e11 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_22 = e11 & ~ (all_26_23 = e12) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (all_26_27 = e10) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e11)) | (all_26_21 = e12 & all_26_23 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_26 = e10) & ~ (e12 = e11))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3782) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_25 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3783) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_26_22 = e13
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3719), (3784) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) e13 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3785) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) e13 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3055), (3786) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3787) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) (all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e13 = e11)) | (all_26_21 = e12 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12 & ~ (all_26_18 = e13) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e12) & ~ (all_26_26 = e10) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e12 = e11))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3788) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e13 = e11)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3789) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_26_20 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (3790) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_12_2 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3755), (3791) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3792) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_26_21 = e12 & all_26_23 = e12 & ~ (all_26_18
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_26 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3793) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_26_21 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3754), (3794) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) e12 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3795) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) e12 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3743), (3796) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3797) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e10)) | (all_26_26 = e12 & all_26_29 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & ~ (all_26_18 = e13) & ~ (all_26_19 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_26_21 = e11) & ~ (e12 = e10))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e11 & all_26_30 = e11 & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e13) & ~ (all_26_23 = e12) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_24 = e11) & ~ (e11 = e10)) | ( ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e10 & all_26_29 = e10) |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e10 & all_26_30 = e10)))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3798) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) (all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (e12 = e11)) | (all_26_25 = e13 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e13) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_17 = e12) & ~ (all_26_20 = e11) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e13 = e10))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3799) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_26_21 = e11 & all_26_23 = e11 & ~ (all_26_22
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_24 = e11) & ~ (all_26_27 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (e12 = e11)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3800) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_26_23 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3741), (3801) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) e12 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3743), (3802) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3803) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_26_25 = e13 & all_26_28 = e13 & ~ (all_26_16
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_17 = e12) & ~ (all_26_20 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e13 = e10)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (3054), (3804) are inconsistent by
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) (all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e12 = e10)) | (all_26_27 = e11 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e11 & ~ (all_26_22 = e13) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_23 = e12) & ~ (all_26_24 = e11) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e11 = e10)) | ( ~ (all_26_28 = e13) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e12) & ~ (all_26_30 = e11) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e10) & ((all_26_25 = e10 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10) | (all_26_26 = e10 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3805) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_19 = e12) & ~ (all_26_21 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e12 = e10)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3806) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_26_29 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3038), (3807) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) e12 = e10
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3808) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) e12 = e10
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3809) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3810) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) (all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (e11 = e10)) | ( ~ (all_26_28 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_26_29 = e12) & ~ (all_26_30 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_26_31 = e10) & ((all_26_25 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e10) | (all_26_26 = e10 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e10) | (all_26_27 = e10 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3811) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_23 = e12) & ~ (all_26_24 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (e11 = e10)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3052), (3055), (3812) are inconsistent by
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) ~ (all_26_28 = e13) & ~ (all_26_29 = e12) & ~
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_26_25 = e10 & all_26_28 = e10) | (all_26_26
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10))
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3813) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) (all_26_25 = e10 & all_26_28 = e10) | (all_26_26 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e10) | (all_26_27 = e10 &
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) all_22_6 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (3815) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_12_2 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3816) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_12_2 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (3817) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) ~ (all_12_3 = e12)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3818) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) ~ (all_12_3 = e12)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_22_12 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (3820) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) all_12_3 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3819), (3821) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3822) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_22_13 = e12 | all_22_14 = e12 | all_22_15 =
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3769) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) all_22_7 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3751), (3824) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) e12 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3743), (3825) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3826) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) all_22_13 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (3827) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_12_7 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3828) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_12_7 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (3829) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_26_26 = e12
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (492), (629), (796), (3045), (3052), (3054),
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056), (3743), (3814), (3823), (3827), (3830) are
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) ~ (all_22_6 = e12)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (3831) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) ~ (all_12_2 = e12)
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (734), (3518), (3755), (3760), (3832) are
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_22_14 = e10
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (3833) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | (3834) e13 = e10
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3834) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | (3835) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3835) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | (3836) all_22_13 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (3836) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | (3837) all_12_7 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3837) implies:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | (3838) all_12_7 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (3838) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | (3839) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3839) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | (3840) all_16_6 = e10
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3840) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | (3841) all_12_9 = e10
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3841) imply:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | (3842) $false
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3842) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | (3843) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | BETA: splitting (3843) gives:
% 94.25/14.45 | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | (3844) all_22_3 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3055), (3493), (3844) are inconsistent by
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | (3845) all_22_5 = e11 | all_22_10 = e11
% 94.25/14.45 | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (674), (732), (3037), (3041), (3047), (3074),
% 94.25/14.45 | | | | | | | | | | | | | | | | | | | (3722), (3845) are inconsistent by sub-proof #9.
% 94.25/14.45 | | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | (3846) all_16_2 = e12 | all_16_2 = e10
% 94.25/14.45 | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (731), (861), (3715), (3846) are inconsistent by
% 94.25/14.45 | | | | | | | | | | | | | | | | | sub-proof #49.
% 94.25/14.45 | | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | (3847) all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | REF_CLOSE: (664), (672), (684), (860), (3054), (3497), (3847)
% 94.25/14.45 | | | | | | | | | | | | | are inconsistent by sub-proof #2.
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | (3848) all_22_5 = e13 | all_22_10 = e13
% 94.25/14.45 | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | BETA: splitting (3848) gives:
% 94.25/14.45 | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | Case 1:
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | (3849) all_22_5 = e13
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | COMBINE_EQS: (674), (3849) imply:
% 94.25/14.45 | | | | | | | | | | | | | (3850) all_12_9 = e13
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | SIMP: (3850) implies:
% 94.25/14.45 | | | | | | | | | | | | | (3851) all_12_9 = e13
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | REDUCE: (862), (3851) imply:
% 94.25/14.45 | | | | | | | | | | | | | (3852) $false
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | CLOSE: (3852) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | Case 2:
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | (3853) all_22_10 = e13
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | COMBINE_EQS: (3037), (3853) imply:
% 94.25/14.45 | | | | | | | | | | | | | (3854) e13 = e10
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | REDUCE: (3056), (3854) imply:
% 94.25/14.45 | | | | | | | | | | | | | (3855) $false
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | | CLOSE: (3855) is inconsistent.
% 94.25/14.45 | | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | | |
% 94.25/14.45 | | | | | | | | | End of split
% 94.25/14.45 | | | | | | | | |
% 94.25/14.45 | | | | | | | | End of split
% 94.25/14.45 | | | | | | | |
% 94.25/14.45 | | | | | | | End of split
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | End of split
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | End of split
% 94.25/14.45 | | | | |
% 94.25/14.45 | | | | Case 2:
% 94.25/14.45 | | | | |
% 94.25/14.45 | | | | | (3856) all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 94.25/14.45 | | | | |
% 94.25/14.45 | | | | | BETA: splitting (3856) gives:
% 94.25/14.45 | | | | |
% 94.25/14.45 | | | | | Case 1:
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | | (3857) all_16_11 = e11
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | | COMBINE_EQS: (742), (3857) imply:
% 94.25/14.45 | | | | | | (3858) all_12_14 = e11
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | | REDUCE: (869), (3858) imply:
% 94.25/14.45 | | | | | | (3859) $false
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | | CLOSE: (3859) is inconsistent.
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | Case 2:
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | | (3860) all_16_11 = e12 | all_16_11 = e10
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | | BETA: splitting (3860) gives:
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | | Case 1:
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | | (3861) all_16_11 = e12
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | | COMBINE_EQS: (742), (3861) imply:
% 94.25/14.45 | | | | | | | (3862) all_12_14 = e12
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | | REDUCE: (867), (3862) imply:
% 94.25/14.45 | | | | | | | (3863) $false
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | | CLOSE: (3863) is inconsistent.
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | Case 2:
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | | (3864) all_16_11 = e10
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | | COMBINE_EQS: (742), (3864) imply:
% 94.25/14.45 | | | | | | | (3865) all_12_14 = e10
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | | REDUCE: (3043), (3865) imply:
% 94.25/14.45 | | | | | | | (3866) $false
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | | CLOSE: (3866) is inconsistent.
% 94.25/14.45 | | | | | | |
% 94.25/14.45 | | | | | | End of split
% 94.25/14.45 | | | | | |
% 94.25/14.45 | | | | | End of split
% 94.25/14.45 | | | | |
% 94.25/14.45 | | | | End of split
% 94.25/14.45 | | | |
% 94.25/14.45 | | | End of split
% 94.25/14.45 | | |
% 94.25/14.45 | | End of split
% 94.25/14.45 | |
% 94.25/14.45 | End of split
% 94.25/14.46 |
% 94.25/14.46 End of proof
% 94.25/14.46
% 94.25/14.46 Sub-proof #1 shows that the following formulas are inconsistent:
% 94.25/14.46 ----------------------------------------------------------------
% 94.25/14.46 (1) ~ (e13 = e12)
% 94.25/14.46 (2) ~ (e13 = e10)
% 94.25/14.46 (3) all_22_13 = e12
% 94.25/14.46 (4) all_26_28 = e12
% 94.25/14.46 (5) all_26_30 = e13
% 94.25/14.46 (6) all_22_15 = e11
% 94.25/14.46 (7) ~ (e12 = e10)
% 94.25/14.46 (8) all_26_26 = e12
% 94.25/14.46 (9) ~ (e12 = e11)
% 94.25/14.46 (10) all_22_13 = e12 | all_22_14 = e12 | all_22_15 = e12
% 94.25/14.46 (11) (all_26_25 = e10 & all_26_28 = e10) | (all_26_26 = e10 & all_26_29 =
% 94.25/14.46 e10) | (all_26_27 = e10 & all_26_30 = e10)
% 94.25/14.46 (12) all_22_14 = e13
% 94.25/14.46
% 94.25/14.46 Begin of proof
% 94.25/14.46 |
% 94.25/14.46 | BETA: splitting (11) gives:
% 94.25/14.46 |
% 94.25/14.46 | Case 1:
% 94.25/14.46 | |
% 94.25/14.46 | | (13) all_26_25 = e10 & all_26_28 = e10
% 94.25/14.46 | |
% 94.25/14.46 | | ALPHA: (13) implies:
% 94.25/14.46 | | (14) all_26_28 = e10
% 94.25/14.46 | |
% 94.25/14.46 | | COMBINE_EQS: (4), (14) imply:
% 94.25/14.46 | | (15) e12 = e10
% 94.25/14.46 | |
% 94.25/14.46 | | COMBINE_EQS: (3), (15) imply:
% 94.25/14.46 | | (16) all_22_13 = e10
% 94.25/14.46 | |
% 94.25/14.46 | | REF_CLOSE: (1), (6), (7), (9), (10), (12), (16) are inconsistent by
% 94.25/14.46 | | sub-proof #65.
% 94.25/14.46 | |
% 94.25/14.46 | Case 2:
% 94.25/14.46 | |
% 94.25/14.46 | | (17) (all_26_26 = e10 & all_26_29 = e10) | (all_26_27 = e10 & all_26_30 =
% 94.25/14.46 | | e10)
% 94.25/14.46 | |
% 94.25/14.46 | | BETA: splitting (17) gives:
% 94.25/14.46 | |
% 94.25/14.46 | | Case 1:
% 94.25/14.46 | | |
% 94.25/14.46 | | | (18) all_26_26 = e10 & all_26_29 = e10
% 94.25/14.46 | | |
% 94.25/14.46 | | | ALPHA: (18) implies:
% 94.25/14.46 | | | (19) all_26_26 = e10
% 94.25/14.46 | | |
% 94.25/14.46 | | | COMBINE_EQS: (8), (19) imply:
% 94.25/14.46 | | | (20) e12 = e10
% 94.25/14.46 | | |
% 94.25/14.46 | | | COMBINE_EQS: (3), (20) imply:
% 94.25/14.46 | | | (21) all_22_13 = e10
% 94.25/14.46 | | |
% 94.25/14.46 | | | REF_CLOSE: (1), (6), (7), (9), (10), (12), (21) are inconsistent by
% 94.25/14.46 | | | sub-proof #65.
% 94.25/14.46 | | |
% 94.25/14.46 | | Case 2:
% 94.25/14.46 | | |
% 94.25/14.46 | | | (22) all_26_27 = e10 & all_26_30 = e10
% 94.25/14.46 | | |
% 94.25/14.46 | | | REF_CLOSE: (2), (5), (22) are inconsistent by sub-proof #3.
% 94.25/14.46 | | |
% 94.25/14.46 | | End of split
% 94.25/14.46 | |
% 94.25/14.46 | End of split
% 94.25/14.46 |
% 94.25/14.46 End of proof
% 94.25/14.46
% 94.25/14.46 Sub-proof #2 shows that the following formulas are inconsistent:
% 94.25/14.46 ----------------------------------------------------------------
% 94.25/14.46 (1) all_22_4 = all_12_8
% 94.25/14.46 (2) ~ (e13 = e12)
% 94.25/14.46 (3) all_22_9 = e12
% 94.25/14.46 (4) all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 94.25/14.46 (5) ~ (all_12_8 = e13)
% 94.25/14.46 (6) ~ (all_12_4 = e13)
% 94.25/14.46 (7) all_22_1 = all_12_4
% 94.25/14.46
% 94.25/14.46 Begin of proof
% 94.25/14.46 |
% 94.25/14.46 | BETA: splitting (4) gives:
% 94.25/14.46 |
% 94.25/14.46 | Case 1:
% 94.25/14.46 | |
% 94.25/14.46 | | (8) all_22_1 = e13
% 94.25/14.46 | |
% 94.25/14.46 | | COMBINE_EQS: (7), (8) imply:
% 94.25/14.46 | | (9) all_12_4 = e13
% 94.25/14.46 | |
% 94.25/14.46 | | SIMP: (9) implies:
% 94.25/14.46 | | (10) all_12_4 = e13
% 94.25/14.46 | |
% 94.25/14.46 | | REDUCE: (6), (10) imply:
% 94.25/14.46 | | (11) $false
% 94.25/14.46 | |
% 94.25/14.46 | | CLOSE: (11) is inconsistent.
% 94.25/14.46 | |
% 94.25/14.46 | Case 2:
% 94.25/14.46 | |
% 94.25/14.46 | | (12) all_22_4 = e13 | all_22_9 = e13
% 94.25/14.46 | |
% 94.25/14.46 | | REF_CLOSE: (1), (2), (3), (5), (12) are inconsistent by sub-proof #48.
% 94.25/14.46 | |
% 94.25/14.46 | End of split
% 94.25/14.46 |
% 94.25/14.46 End of proof
% 94.25/14.46
% 94.25/14.46 Sub-proof #3 shows that the following formulas are inconsistent:
% 94.25/14.46 ----------------------------------------------------------------
% 94.25/14.46 (1) all_26_27 = e10 & all_26_30 = e10
% 94.25/14.46 (2) all_26_30 = e13
% 94.25/14.46 (3) ~ (e13 = e10)
% 94.25/14.46
% 94.25/14.46 Begin of proof
% 94.25/14.46 |
% 94.25/14.46 | ALPHA: (1) implies:
% 94.25/14.46 | (4) all_26_30 = e10
% 94.25/14.46 |
% 94.25/14.46 | COMBINE_EQS: (2), (4) imply:
% 94.25/14.46 | (5) e13 = e10
% 94.25/14.46 |
% 94.25/14.46 | REDUCE: (3), (5) imply:
% 94.25/14.46 | (6) $false
% 94.25/14.46 |
% 94.25/14.46 | CLOSE: (6) is inconsistent.
% 94.25/14.46 |
% 94.25/14.46 End of proof
% 94.25/14.46
% 94.25/14.46 Sub-proof #4 shows that the following formulas are inconsistent:
% 94.25/14.46 ----------------------------------------------------------------
% 94.25/14.46 (1) all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22 = e13) & ~ (all_26_23
% 94.25/14.46 = e12) & ~ (all_26_24 = e11) & ~ (e11 = e10)
% 94.25/14.46 (2) all_26_30 = e13
% 94.25/14.46 (3) ~ (e13 = e11)
% 94.25/14.46
% 94.25/14.46 Begin of proof
% 94.25/14.46 |
% 94.25/14.46 | ALPHA: (1) implies:
% 94.25/14.46 | (4) all_26_30 = e11
% 94.25/14.46 |
% 94.25/14.46 | COMBINE_EQS: (2), (4) imply:
% 94.25/14.46 | (5) e13 = e11
% 94.25/14.46 |
% 94.25/14.46 | REDUCE: (3), (5) imply:
% 94.25/14.46 | (6) $false
% 94.25/14.46 |
% 94.25/14.46 | CLOSE: (6) is inconsistent.
% 94.25/14.46 |
% 94.25/14.46 End of proof
% 94.25/14.46
% 94.25/14.46 Sub-proof #5 shows that the following formulas are inconsistent:
% 94.25/14.46 ----------------------------------------------------------------
% 94.25/14.46 (1) all_26_25 = e13 & all_26_28 = e13 & ~ (all_26_16 = e13) & ~ (all_26_17
% 94.25/14.46 = e12) & ~ (all_26_20 = e11) & ~ (e13 = e10)
% 94.25/14.46 (2) all_26_28 = e12
% 94.25/14.46 (3) ~ (e13 = e12)
% 94.25/14.46
% 94.25/14.46 Begin of proof
% 94.25/14.46 |
% 94.25/14.46 | ALPHA: (1) implies:
% 94.25/14.46 | (4) all_26_28 = e13
% 94.25/14.46 |
% 94.25/14.46 | COMBINE_EQS: (2), (4) imply:
% 94.25/14.46 | (5) e13 = e12
% 94.25/14.46 |
% 94.25/14.46 | SIMP: (5) implies:
% 94.25/14.46 | (6) e13 = e12
% 94.25/14.46 |
% 94.25/14.46 | REDUCE: (3), (6) imply:
% 94.25/14.46 | (7) $false
% 94.25/14.46 |
% 94.25/14.46 | CLOSE: (7) is inconsistent.
% 94.25/14.46 |
% 94.25/14.46 End of proof
% 94.25/14.46
% 94.25/14.46 Sub-proof #6 shows that the following formulas are inconsistent:
% 94.25/14.46 ----------------------------------------------------------------
% 94.25/14.46 (1) all_26_20 = e11 & all_26_22 = e11 & ~ (all_26_23 = e12) & ~ (all_26_24
% 94.25/14.46 = e11) & ~ (all_26_27 = e10) & ~ (e13 = e11)
% 94.25/14.46 (2) all_26_22 = e10
% 94.25/14.46 (3) ~ (e11 = e10)
% 94.25/14.46
% 94.25/14.46 Begin of proof
% 94.25/14.46 |
% 94.25/14.46 | ALPHA: (1) implies:
% 94.25/14.46 | (4) all_26_22 = e11
% 94.25/14.46 |
% 94.25/14.46 | COMBINE_EQS: (2), (4) imply:
% 94.25/14.46 | (5) e11 = e10
% 94.25/14.46 |
% 94.25/14.46 | REDUCE: (3), (5) imply:
% 94.25/14.46 | (6) $false
% 94.25/14.46 |
% 94.25/14.46 | CLOSE: (6) is inconsistent.
% 94.25/14.46 |
% 94.25/14.46 End of proof
% 94.25/14.46
% 94.25/14.46 Sub-proof #7 shows that the following formulas are inconsistent:
% 94.25/14.46 ----------------------------------------------------------------
% 94.25/14.46 (1) all_22_11 = e13
% 94.25/14.46 (2) all_22_11 = e11
% 94.25/14.46 (3) ~ (e13 = e11)
% 94.25/14.46
% 94.25/14.46 Begin of proof
% 94.25/14.46 |
% 94.25/14.46 | COMBINE_EQS: (1), (2) imply:
% 94.25/14.46 | (4) e13 = e11
% 94.25/14.46 |
% 94.25/14.46 | SIMP: (4) implies:
% 94.25/14.46 | (5) e13 = e11
% 94.25/14.46 |
% 94.25/14.46 | REDUCE: (3), (5) imply:
% 94.25/14.46 | (6) $false
% 94.25/14.46 |
% 94.25/14.46 | CLOSE: (6) is inconsistent.
% 94.25/14.46 |
% 94.25/14.46 End of proof
% 94.25/14.46
% 94.25/14.46 Sub-proof #8 shows that the following formulas are inconsistent:
% 94.25/14.46 ----------------------------------------------------------------
% 94.25/14.46 (1) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 94.25/14.46 (2) ~ (e13 = e10)
% 94.25/14.46 (3) all_22_1 = e12 | all_22_3 = e12 | all_22_7 = e12 | all_22_13 = e12
% 94.25/14.46 (4) all_22_3 = all_12_5
% 94.25/14.46 (5) all_26_24 = e10
% 94.25/14.46 (6) all_22_12 = all_12_3
% 94.25/14.46 (7) all_26_16 = e10
% 94.25/14.46 (8) all_26_23 = all_12_9
% 94.25/14.46 (9) all_26_31 = e11
% 94.25/14.46 (10) all_26_28 = e12
% 94.25/14.46 (11) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 94.25/14.46 (12) all_22_5 = all_12_9
% 94.25/14.46 (13) all_22_13 = all_12_7
% 94.25/14.46 (14) ~ (all_12_9 = e11)
% 94.25/14.46 (15) all_26_30 = e13
% 94.25/14.46 (16) all_22_15 = e11
% 94.25/14.46 (17) all_22_1 = e13
% 94.25/14.46 (18) all_26_25 = all_12_3
% 94.25/14.46 (19) (all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~ (all_26_18 = e13)) & ( ~
% 94.25/14.46 (all_26_17 = e12) | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 94.25/14.46 ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~ (all_26_18 =
% 94.25/14.46 e10))) | (all_26_16 = e11 & ( ~ (all_26_20 = e13) | ~ (all_26_22
% 94.25/14.46 = e13)) & ( ~ (all_26_20 = e12) | ~ (all_26_22 = e12)) & ( ~
% 94.25/14.46 (all_26_20 = e11) | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10) |
% 94.25/14.46 ~ (all_26_22 = e10))) | (all_26_16 = e10 & ( ~ (all_26_25 = e13) |
% 94.25/14.46 ~ (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~ (all_26_28 = e12))
% 94.25/14.46 & ( ~ (all_26_25 = e11) | ~ (all_26_28 = e11)) & ( ~ (all_26_25 =
% 94.25/14.46 e10) | ~ (all_26_28 = e10))) | (all_26_19 = e13 & ( ~ (all_26_17
% 94.25/14.46 = e13) | ~ (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~
% 94.25/14.46 (all_26_18 = e12)) & ( ~ (all_26_17 = e11) | ~ (all_26_18 = e11)) &
% 94.25/14.46 ( ~ (all_26_17 = e10) | ~ (all_26_18 = e10))) | (all_26_19 = e11 & (
% 94.25/14.46 ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) & ( ~ (all_26_21 = e12)
% 94.25/14.46 | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~ (all_26_23 =
% 94.25/14.46 e11)) & ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 94.25/14.46 (all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) & ( ~
% 94.25/14.46 (all_26_26 = e12) | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 94.25/14.46 ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~ (all_26_29 =
% 94.25/14.46 e10))) | (all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~ (all_26_22
% 94.25/14.46 = e13)) & ( ~ (all_26_20 = e12) | ~ (all_26_22 = e12)) & ( ~
% 94.25/14.46 (all_26_20 = e11) | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10) |
% 94.25/14.46 ~ (all_26_22 = e10))) | (all_26_24 = e12 & ( ~ (all_26_21 = e13) |
% 94.25/14.46 ~ (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12))
% 94.25/14.46 & ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) & ( ~ (all_26_21 =
% 94.25/14.46 e10) | ~ (all_26_23 = e10))) | (all_26_24 = e10 & ( ~ (all_26_27
% 94.25/14.46 = e13) | ~ (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~
% 94.25/14.46 (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 94.25/14.46 ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10))) | (all_26_31 = e13 & (
% 94.25/14.46 ~ (all_26_25 = e13) | ~ (all_26_28 = e13)) & ( ~ (all_26_25 = e12)
% 94.25/14.46 | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~ (all_26_28 =
% 94.25/14.46 e11)) & ( ~ (all_26_25 = e10) | ~ (all_26_28 = e10))) |
% 94.25/14.46 (all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) & ( ~
% 94.25/14.46 (all_26_26 = e12) | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 94.25/14.46 ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~ (all_26_29 =
% 94.25/14.46 e10))) | (all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~ (all_26_30
% 94.25/14.46 = e13)) & ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) & ( ~
% 94.25/14.46 (all_26_27 = e11) | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10) |
% 94.25/14.46 ~ (all_26_30 = e10)))
% 94.25/14.46 (20) all_16_12 = all_12_3
% 94.25/14.46 (21) all_22_10 = e10
% 94.25/14.46 (22) all_16_6 = all_12_9
% 94.25/14.46 (23) ~ (all_12_3 = all_12_7)
% 94.25/14.46 (24) all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10
% 94.25/14.46 (25) all_22_8 = e10
% 94.25/14.46 (26) all_26_18 = e13
% 94.25/14.46 (27) ~ (all_12_7 = e11)
% 94.25/14.46 (28) ~ (e11 = e10)
% 94.25/14.46 (29) ~ (all_12_5 = all_12_7)
% 94.25/14.46 (30) all_26_27 = e13
% 94.25/14.46 (31) ~ (all_12_9 = e10)
% 94.25/14.46 (32) all_26_19 = all_12_5
% 94.25/14.46 (33) ~ (all_12_7 = e13)
% 94.25/14.46 (34) all_26_21 = all_12_6
% 94.25/14.46 (35) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 94.25/14.46 (36) all_22_7 = all_12_6
% 94.25/14.46 (37) all_26_17 = e13
% 94.25/14.46 (38) ~ (all_12_3 = e11)
% 94.25/14.46 (39) all_22_15 = e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10)
% 94.25/14.46 & (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10))
% 94.25/14.46 (40) ~ (all_12_3 = e10)
% 94.25/14.46 (41) ~ (all_12_3 = e13)
% 94.25/14.46 (42) all_22_14 = e13
% 94.25/14.46
% 94.25/14.46 Begin of proof
% 94.25/14.46 |
% 94.25/14.46 | BETA: splitting (35) gives:
% 94.25/14.46 |
% 94.25/14.46 | Case 1:
% 94.25/14.46 | |
% 94.25/14.46 | | (43) all_16_12 = e11
% 94.25/14.46 | |
% 94.25/14.46 | | COMBINE_EQS: (20), (43) imply:
% 94.25/14.46 | | (44) all_12_3 = e11
% 94.25/14.46 | |
% 94.25/14.46 | | REDUCE: (38), (44) imply:
% 94.25/14.46 | | (45) $false
% 94.25/14.46 | |
% 94.25/14.46 | | CLOSE: (45) is inconsistent.
% 94.25/14.46 | |
% 94.25/14.46 | Case 2:
% 94.25/14.46 | |
% 94.25/14.46 | | (46) ~ (all_16_12 = e11)
% 94.25/14.46 | | (47) all_16_12 = e12 | all_16_12 = e10
% 94.25/14.46 | |
% 94.25/14.46 | | BETA: splitting (39) gives:
% 94.25/14.46 | |
% 94.25/14.46 | | Case 1:
% 94.25/14.46 | | |
% 94.25/14.46 | | | (48) all_22_15 = e10
% 94.25/14.46 | | |
% 94.25/14.46 | | | REF_CLOSE: (16), (28), (48) are inconsistent by sub-proof #104.
% 94.25/14.46 | | |
% 94.25/14.46 | | Case 2:
% 94.25/14.46 | | |
% 94.25/14.46 | | | (49) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10) & (all_22_12
% 94.25/14.46 | | | = e10 | all_22_13 = e10 | all_22_14 = e10)
% 94.25/14.46 | | |
% 94.25/14.46 | | | ALPHA: (49) implies:
% 94.25/14.46 | | | (50) all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10
% 94.25/14.46 | | |
% 94.25/14.46 | | | BETA: splitting (50) gives:
% 94.25/14.46 | | |
% 94.25/14.46 | | | Case 1:
% 94.25/14.46 | | | |
% 94.25/14.46 | | | | (51) all_22_12 = e10
% 94.25/14.47 | | | |
% 94.25/14.47 | | | | COMBINE_EQS: (6), (51) imply:
% 94.25/14.47 | | | | (52) all_12_3 = e10
% 94.25/14.47 | | | |
% 94.25/14.47 | | | | REDUCE: (40), (52) imply:
% 94.25/14.47 | | | | (53) $false
% 94.25/14.47 | | | |
% 94.25/14.47 | | | | CLOSE: (53) is inconsistent.
% 94.25/14.47 | | | |
% 94.25/14.47 | | | Case 2:
% 94.25/14.47 | | | |
% 94.25/14.47 | | | | (54) all_22_13 = e10 | all_22_14 = e10
% 94.25/14.47 | | | |
% 94.25/14.47 | | | | BETA: splitting (54) gives:
% 94.25/14.47 | | | |
% 94.25/14.47 | | | | Case 1:
% 94.25/14.47 | | | | |
% 94.25/14.47 | | | | | (55) all_22_13 = e10
% 94.25/14.47 | | | | |
% 94.25/14.47 | | | | | COMBINE_EQS: (13), (55) imply:
% 94.25/14.47 | | | | | (56) all_12_7 = e10
% 94.25/14.47 | | | | |
% 94.25/14.47 | | | | | REDUCE: (29), (56) imply:
% 94.25/14.47 | | | | | (57) ~ (all_12_5 = e10)
% 94.25/14.47 | | | | |
% 94.25/14.47 | | | | | REDUCE: (33), (56) imply:
% 94.25/14.47 | | | | | (58) ~ (e13 = e10)
% 94.25/14.47 | | | | |
% 94.25/14.47 | | | | | REDUCE: (27), (56) imply:
% 94.25/14.47 | | | | | (59) ~ (e11 = e10)
% 94.25/14.47 | | | | |
% 94.25/14.47 | | | | | BETA: splitting (47) gives:
% 94.25/14.47 | | | | |
% 94.25/14.47 | | | | | Case 1:
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | (60) all_16_12 = e12
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | COMBINE_EQS: (20), (60) imply:
% 94.25/14.47 | | | | | | (61) all_12_3 = e12
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | COMBINE_EQS: (18), (61) imply:
% 94.25/14.47 | | | | | | (62) all_26_25 = e12
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | REDUCE: (41), (61) imply:
% 94.25/14.47 | | | | | | (63) ~ (e13 = e12)
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | SIMP: (63) implies:
% 94.25/14.47 | | | | | | (64) ~ (e13 = e12)
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | REDUCE: (38), (61) imply:
% 94.25/14.47 | | | | | | (65) ~ (e12 = e11)
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | REDUCE: (40), (61) imply:
% 94.25/14.47 | | | | | | (66) ~ (e12 = e10)
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | BETA: splitting (11) gives:
% 94.25/14.47 | | | | | |
% 94.25/14.47 | | | | | | Case 1:
% 94.25/14.47 | | | | | | |
% 94.25/14.47 | | | | | | | (67) all_22_3 = e11
% 94.25/14.47 | | | | | | |
% 94.25/14.47 | | | | | | | COMBINE_EQS: (4), (67) imply:
% 94.25/14.47 | | | | | | | (68) all_12_5 = e11
% 94.25/14.47 | | | | | | |
% 94.25/14.47 | | | | | | | SIMP: (68) implies:
% 94.25/14.47 | | | | | | | (69) all_12_5 = e11
% 94.25/14.47 | | | | | | |
% 94.25/14.47 | | | | | | | COMBINE_EQS: (32), (69) imply:
% 94.25/14.47 | | | | | | | (70) all_26_19 = e11
% 94.25/14.47 | | | | | | |
% 94.25/14.47 | | | | | | | BETA: splitting (3) gives:
% 94.25/14.47 | | | | | | |
% 94.25/14.47 | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | |
% 94.25/14.47 | | | | | | | | (71) all_22_1 = e12
% 94.25/14.47 | | | | | | | |
% 94.25/14.47 | | | | | | | | COMBINE_EQS: (17), (71) imply:
% 94.25/14.47 | | | | | | | | (72) e13 = e12
% 94.25/14.47 | | | | | | | |
% 94.25/14.47 | | | | | | | | REDUCE: (64), (72) imply:
% 94.25/14.47 | | | | | | | | (73) $false
% 94.25/14.47 | | | | | | | |
% 94.25/14.47 | | | | | | | | CLOSE: (73) is inconsistent.
% 94.25/14.47 | | | | | | | |
% 94.25/14.47 | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | |
% 94.25/14.47 | | | | | | | | (74) ~ (all_22_1 = e12)
% 94.25/14.47 | | | | | | | | (75) all_22_3 = e12 | all_22_7 = e12 | all_22_13 = e12
% 94.25/14.47 | | | | | | | |
% 94.25/14.47 | | | | | | | | BETA: splitting (75) gives:
% 94.25/14.47 | | | | | | | |
% 94.25/14.47 | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | (76) all_22_3 = e12
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | COMBINE_EQS: (67), (76) imply:
% 94.25/14.47 | | | | | | | | | (77) e12 = e11
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | SIMP: (77) implies:
% 94.25/14.47 | | | | | | | | | (78) e12 = e11
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | REDUCE: (65), (78) imply:
% 94.25/14.47 | | | | | | | | | (79) $false
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | CLOSE: (79) is inconsistent.
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | (80) ~ (all_22_3 = e12)
% 94.25/14.47 | | | | | | | | | (81) all_22_7 = e12 | all_22_13 = e12
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | REDUCE: (67), (80) imply:
% 94.25/14.47 | | | | | | | | | (82) ~ (e12 = e11)
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | BETA: splitting (19) gives:
% 94.25/14.47 | | | | | | | | |
% 94.25/14.47 | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | (83) (all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_18 = e12)) & ( ~ (all_26_17 = e11) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_18 = e10))) | (all_26_16 = e11 & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_20 = e13) | ~ (all_26_22 = e13)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_20 = e12) | ~ (all_26_22 = e12)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_20 = e11) | ~ (all_26_22 = e11)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_20 = e10) | ~ (all_26_22 = e10))) |
% 94.25/14.47 | | | | | | | | | | (all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_28 = e10))) | (all_26_19 = e13 & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_17 = e13) | ~ (all_26_18 = e13)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_17 = e12) | ~ (all_26_18 = e12)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_17 = e11) | ~ (all_26_18 = e11)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_17 = e10) | ~ (all_26_18 = e10))) |
% 94.25/14.47 | | | | | | | | | | (all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~
% 94.25/14.47 | | | | | | | | | | (all_26_23 = e10))) | (all_26_19 = e10 & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_26 = e13) | ~ (all_26_29 = e13)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_26 = e12) | ~ (all_26_29 = e12)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_26 = e11) | ~ (all_26_29 = e11)) & ( ~
% 94.25/14.47 | | | | | | | | | | (all_26_26 = e10) | ~ (all_26_29 = e10)))
% 94.25/14.47 | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | BETA: splitting (83) gives:
% 94.25/14.47 | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | (84) (all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) |
% 94.25/14.47 | | | | | | | | | | | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 94.25/14.47 | | | | | | | | | | | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10)
% 94.25/14.47 | | | | | | | | | | | | ~ (all_26_18 = e10))) | (all_26_16 = e11 &
% 94.25/14.47 | | | | | | | | | | | ( ~ (all_26_20 = e13) | ~ (all_26_22 = e13)) &
% 94.25/14.47 | | | | | | | | | | | ( ~ (all_26_20 = e12) | ~ (all_26_22 = e12)) &
% 94.25/14.47 | | | | | | | | | | | ( ~ (all_26_20 = e11) | ~ (all_26_22 = e11)) &
% 94.25/14.47 | | | | | | | | | | | ( ~ (all_26_20 = e10) | ~ (all_26_22 = e10))) |
% 94.25/14.47 | | | | | | | | | | | (all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) |
% 94.25/14.47 | | | | | | | | | | | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) |
% 94.25/14.47 | | | | | | | | | | | ~ (all_26_28 = e11)) & ( ~ (all_26_25 = e10)
% 94.25/14.47 | | | | | | | | | | | | ~ (all_26_28 = e10)))
% 94.25/14.47 | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | BETA: splitting (84) gives:
% 94.25/14.47 | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | (85) all_26_16 = e12 & ( ~ (all_26_17 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_18 = e12)) & ( ~ (all_26_17 = e11) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_18 = e10))
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | ALPHA: (85) implies:
% 94.25/14.47 | | | | | | | | | | | | (86) all_26_16 = e12
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | COMBINE_EQS: (7), (86) imply:
% 94.25/14.47 | | | | | | | | | | | | (87) e12 = e10
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | SIMP: (87) implies:
% 94.25/14.47 | | | | | | | | | | | | (88) e12 = e10
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | REDUCE: (66), (88) imply:
% 94.25/14.47 | | | | | | | | | | | | (89) $false
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | CLOSE: (89) is inconsistent.
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | (90) (all_26_16 = e11 & ( ~ (all_26_20 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) |
% 94.25/14.47 | | | | | | | | | | | | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) |
% 94.25/14.47 | | | | | | | | | | | | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10)
% 94.25/14.47 | | | | | | | | | | | | | ~ (all_26_22 = e10))) | (all_26_16 = e10 &
% 94.25/14.47 | | | | | | | | | | | | ( ~ (all_26_25 = e13) | ~ (all_26_28 = e13)) &
% 94.25/14.47 | | | | | | | | | | | | ( ~ (all_26_25 = e12) | ~ (all_26_28 = e12)) &
% 94.25/14.47 | | | | | | | | | | | | ( ~ (all_26_25 = e11) | ~ (all_26_28 = e11)) &
% 94.25/14.47 | | | | | | | | | | | | ( ~ (all_26_25 = e10) | ~ (all_26_28 = e10)))
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | BETA: splitting (90) gives:
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | (91) all_26_16 = e11 & ( ~ (all_26_20 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_22 = e10))
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | ALPHA: (91) implies:
% 94.25/14.47 | | | | | | | | | | | | | (92) all_26_16 = e11
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | COMBINE_EQS: (7), (92) imply:
% 94.25/14.47 | | | | | | | | | | | | | (93) e11 = e10
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | SIMP: (93) implies:
% 94.25/14.47 | | | | | | | | | | | | | (94) e11 = e10
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | REDUCE: (28), (94) imply:
% 94.25/14.47 | | | | | | | | | | | | | (95) $false
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | CLOSE: (95) is inconsistent.
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | (96) all_26_16 = e10 & ( ~ (all_26_25 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_28 = e10))
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | ALPHA: (96) implies:
% 94.25/14.47 | | | | | | | | | | | | | (97) ~ (all_26_25 = e12) | ~ (all_26_28 = e12)
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | REF_CLOSE: (10), (62), (97) are inconsistent by sub-proof
% 94.25/14.47 | | | | | | | | | | | | | #22.
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | End of split
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | End of split
% 94.25/14.47 | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | (98) (all_26_19 = e13 & ( ~ (all_26_17 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) |
% 94.25/14.47 | | | | | | | | | | | ~ (all_26_18 = e12)) & ( ~ (all_26_17 = e11) |
% 94.25/14.47 | | | | | | | | | | | ~ (all_26_18 = e11)) & ( ~ (all_26_17 = e10)
% 94.25/14.47 | | | | | | | | | | | | ~ (all_26_18 = e10))) | (all_26_19 = e11 &
% 94.25/14.47 | | | | | | | | | | | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) &
% 94.25/14.47 | | | | | | | | | | | ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12)) &
% 94.25/14.47 | | | | | | | | | | | ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) &
% 94.25/14.47 | | | | | | | | | | | ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 94.25/14.47 | | | | | | | | | | | (all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) |
% 94.25/14.47 | | | | | | | | | | | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 94.25/14.47 | | | | | | | | | | | ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10)
% 94.25/14.47 | | | | | | | | | | | | ~ (all_26_29 = e10)))
% 94.25/14.47 | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | BETA: splitting (98) gives:
% 94.25/14.47 | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | (99) all_26_19 = e13 & ( ~ (all_26_17 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_18 = e13)) & ( ~ (all_26_17 = e12) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_18 = e12)) & ( ~ (all_26_17 = e11) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_18 = e11)) & ( ~ (all_26_17 = e10) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_18 = e10))
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | ALPHA: (99) implies:
% 94.25/14.47 | | | | | | | | | | | | (100) all_26_19 = e13
% 94.25/14.47 | | | | | | | | | | | | (101) ~ (all_26_17 = e11) | ~ (all_26_18 = e11)
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | COMBINE_EQS: (70), (100) imply:
% 94.25/14.47 | | | | | | | | | | | | (102) e13 = e11
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | SIMP: (102) implies:
% 94.25/14.47 | | | | | | | | | | | | (103) e13 = e11
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | COMBINE_EQS: (26), (103) imply:
% 94.25/14.47 | | | | | | | | | | | | (104) all_26_18 = e11
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | COMBINE_EQS: (37), (103) imply:
% 94.25/14.47 | | | | | | | | | | | | (105) all_26_17 = e11
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | REF_CLOSE: (101), (104), (105) are inconsistent by sub-proof
% 94.25/14.47 | | | | | | | | | | | | #10.
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | (106) (all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) |
% 94.25/14.47 | | | | | | | | | | | | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) |
% 94.25/14.47 | | | | | | | | | | | | ~ (all_26_23 = e11)) & ( ~ (all_26_21 = e10)
% 94.25/14.47 | | | | | | | | | | | | | ~ (all_26_23 = e10))) | (all_26_19 = e10 &
% 94.25/14.47 | | | | | | | | | | | | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) &
% 94.25/14.47 | | | | | | | | | | | | ( ~ (all_26_26 = e12) | ~ (all_26_29 = e12)) &
% 94.25/14.47 | | | | | | | | | | | | ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) &
% 94.25/14.47 | | | | | | | | | | | | ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10)))
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | BETA: splitting (106) gives:
% 94.25/14.47 | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | (107) all_26_19 = e11 & ( ~ (all_26_21 = e13) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~
% 94.25/14.47 | | | | | | | | | | | | | (all_26_23 = e10))
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | ALPHA: (107) implies:
% 94.25/14.47 | | | | | | | | | | | | | (108) ~ (all_26_21 = e12) | ~ (all_26_23 = e12)
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | BETA: splitting (1) gives:
% 94.25/14.47 | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | (109) all_22_5 = e12
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | COMBINE_EQS: (12), (109) imply:
% 94.25/14.47 | | | | | | | | | | | | | | (110) all_12_9 = e12
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | SIMP: (110) implies:
% 94.25/14.47 | | | | | | | | | | | | | | (111) all_12_9 = e12
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | COMBINE_EQS: (8), (111) imply:
% 94.25/14.47 | | | | | | | | | | | | | | (112) all_26_23 = e12
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | (113) ~ (all_26_21 = e12)
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | REDUCE: (34), (113) imply:
% 94.25/14.47 | | | | | | | | | | | | | | | (114) ~ (all_12_6 = e12)
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | Case 1:
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | (115) all_22_7 = e12
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (115) imply:
% 94.25/14.47 | | | | | | | | | | | | | | | | (116) all_12_6 = e12
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | SIMP: (116) implies:
% 94.25/14.47 | | | | | | | | | | | | | | | | (117) all_12_6 = e12
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | REDUCE: (114), (117) imply:
% 94.25/14.47 | | | | | | | | | | | | | | | | (118) $false
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | CLOSE: (118) is inconsistent.
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | (119) all_22_13 = e12
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (119) imply:
% 94.25/14.47 | | | | | | | | | | | | | | | | (120) e12 = e10
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | SIMP: (120) implies:
% 94.25/14.47 | | | | | | | | | | | | | | | | (121) e12 = e10
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | REDUCE: (66), (121) imply:
% 94.25/14.47 | | | | | | | | | | | | | | | | (122) $false
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | | CLOSE: (122) is inconsistent.
% 94.25/14.47 | | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | End of split
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | (123) ~ (all_26_23 = e12)
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | REDUCE: (112), (123) imply:
% 94.25/14.47 | | | | | | | | | | | | | | | (124) $false
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | | CLOSE: (124) is inconsistent.
% 94.25/14.47 | | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | End of split
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | Case 2:
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.47 | | | | | | | | | | | | | | (125) all_22_8 = e12 | all_22_14 = e12
% 94.25/14.47 | | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | | | REF_CLOSE: (25), (42), (64), (66), (125) are inconsistent by
% 94.25/14.48 | | | | | | | | | | | | | | sub-proof #101.
% 94.25/14.48 | | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | | End of split
% 94.25/14.48 | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | Case 2:
% 94.25/14.48 | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | | (126) all_26_19 = e10 & ( ~ (all_26_26 = e13) | ~
% 94.25/14.48 | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~
% 94.25/14.48 | | | | | | | | | | | | | (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 94.25/14.48 | | | | | | | | | | | | | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~
% 94.25/14.48 | | | | | | | | | | | | | (all_26_29 = e10))
% 94.25/14.48 | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | | ALPHA: (126) implies:
% 94.25/14.48 | | | | | | | | | | | | | (127) all_26_19 = e10
% 94.25/14.48 | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | | COMBINE_EQS: (70), (127) imply:
% 94.25/14.48 | | | | | | | | | | | | | (128) e11 = e10
% 94.25/14.48 | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | | REDUCE: (28), (128) imply:
% 94.25/14.48 | | | | | | | | | | | | | (129) $false
% 94.25/14.48 | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | | CLOSE: (129) is inconsistent.
% 94.25/14.48 | | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | End of split
% 94.25/14.48 | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | End of split
% 94.25/14.48 | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | End of split
% 94.25/14.48 | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | Case 2:
% 94.25/14.48 | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | (130) (all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_22 = e10))) | (all_26_24 = e12 & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_21 = e13) | ~ (all_26_23 = e13)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_21 = e12) | ~ (all_26_23 = e12)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_21 = e11) | ~ (all_26_23 = e11)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 94.25/14.48 | | | | | | | | | | (all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_30 = e10))) | (all_26_31 = e13 & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_25 = e13) | ~ (all_26_28 = e13)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_25 = e12) | ~ (all_26_28 = e12)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_25 = e11) | ~ (all_26_28 = e11)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_25 = e10) | ~ (all_26_28 = e10))) |
% 94.25/14.48 | | | | | | | | | | (all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~
% 94.25/14.48 | | | | | | | | | | (all_26_29 = e10))) | (all_26_31 = e11 & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_27 = e13) | ~ (all_26_30 = e13)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_27 = e12) | ~ (all_26_30 = e12)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_27 = e11) | ~ (all_26_30 = e11)) & ( ~
% 94.25/14.48 | | | | | | | | | | (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 94.25/14.48 | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | BETA: splitting (130) gives:
% 94.25/14.48 | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | Case 1:
% 94.25/14.48 | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | (131) (all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 94.25/14.48 | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) |
% 94.25/14.48 | | | | | | | | | | | ~ (all_26_22 = e12)) & ( ~ (all_26_20 = e11) |
% 94.25/14.48 | | | | | | | | | | | ~ (all_26_22 = e11)) & ( ~ (all_26_20 = e10)
% 94.25/14.48 | | | | | | | | | | | | ~ (all_26_22 = e10))) | (all_26_24 = e12 &
% 94.25/14.48 | | | | | | | | | | | ( ~ (all_26_21 = e13) | ~ (all_26_23 = e13)) &
% 94.25/14.48 | | | | | | | | | | | ( ~ (all_26_21 = e12) | ~ (all_26_23 = e12)) &
% 94.25/14.48 | | | | | | | | | | | ( ~ (all_26_21 = e11) | ~ (all_26_23 = e11)) &
% 94.25/14.48 | | | | | | | | | | | ( ~ (all_26_21 = e10) | ~ (all_26_23 = e10))) |
% 94.25/14.48 | | | | | | | | | | | (all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 94.25/14.48 | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) |
% 94.25/14.48 | | | | | | | | | | | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) |
% 94.25/14.48 | | | | | | | | | | | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10)
% 94.25/14.48 | | | | | | | | | | | | ~ (all_26_30 = e10)))
% 94.25/14.48 | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | BETA: splitting (131) gives:
% 94.25/14.48 | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | Case 1:
% 94.25/14.48 | | | | | | | | | | | |
% 94.25/14.48 | | | | | | | | | | | | (132) all_26_24 = e13 & ( ~ (all_26_20 = e13) | ~
% 94.25/14.48 | | | | | | | | | | | | (all_26_22 = e13)) & ( ~ (all_26_20 = e12) | ~
% 94.25/14.48 | | | | | | | | | | | | (all_26_22 = e12)) & ( ~ (all_26_20 = e11) | ~
% 94.25/14.48 | | | | | | | | | | | | (all_26_22 = e11)) & ( ~ (all_26_20 = e10) | ~
% 94.25/14.48 | | | | | | | | | | | | (all_26_22 = e10))
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | ALPHA: (132) implies:
% 94.40/14.48 | | | | | | | | | | | | (133) all_26_24 = e13
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | COMBINE_EQS: (5), (133) imply:
% 94.40/14.48 | | | | | | | | | | | | (134) e13 = e10
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | REDUCE: (2), (134) imply:
% 94.40/14.48 | | | | | | | | | | | | (135) $false
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | CLOSE: (135) is inconsistent.
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | Case 2:
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | (136) (all_26_24 = e12 & ( ~ (all_26_21 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) |
% 94.40/14.48 | | | | | | | | | | | | ~ (all_26_23 = e12)) & ( ~ (all_26_21 = e11) |
% 94.40/14.48 | | | | | | | | | | | | ~ (all_26_23 = e11)) & ( ~ (all_26_21 = e10)
% 94.40/14.48 | | | | | | | | | | | | | ~ (all_26_23 = e10))) | (all_26_24 = e10 &
% 94.40/14.48 | | | | | | | | | | | | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) &
% 94.40/14.48 | | | | | | | | | | | | ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) &
% 94.40/14.48 | | | | | | | | | | | | ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 94.40/14.48 | | | | | | | | | | | | ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | BETA: splitting (136) gives:
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | Case 1:
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | (137) all_26_24 = e12 & ( ~ (all_26_21 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_23 = e13)) & ( ~ (all_26_21 = e12) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_23 = e12)) & ( ~ (all_26_21 = e11) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_23 = e11)) & ( ~ (all_26_21 = e10) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_23 = e10))
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | ALPHA: (137) implies:
% 94.40/14.48 | | | | | | | | | | | | | (138) all_26_24 = e12
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | COMBINE_EQS: (5), (138) imply:
% 94.40/14.48 | | | | | | | | | | | | | (139) e12 = e10
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | REDUCE: (66), (139) imply:
% 94.40/14.48 | | | | | | | | | | | | | (140) $false
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | CLOSE: (140) is inconsistent.
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | Case 2:
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | (141) all_26_24 = e10 & ( ~ (all_26_27 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_30 = e10))
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | ALPHA: (141) implies:
% 94.40/14.48 | | | | | | | | | | | | | (142) ~ (all_26_27 = e13) | ~ (all_26_30 = e13)
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | REF_CLOSE: (15), (30), (142) are inconsistent by sub-proof
% 94.40/14.48 | | | | | | | | | | | | | #15.
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | End of split
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | End of split
% 94.40/14.48 | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | Case 2:
% 94.40/14.48 | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | (143) (all_26_31 = e13 & ( ~ (all_26_25 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) |
% 94.40/14.48 | | | | | | | | | | | ~ (all_26_28 = e12)) & ( ~ (all_26_25 = e11) |
% 94.40/14.48 | | | | | | | | | | | ~ (all_26_28 = e11)) & ( ~ (all_26_25 = e10)
% 94.40/14.48 | | | | | | | | | | | | ~ (all_26_28 = e10))) | (all_26_31 = e12 &
% 94.40/14.48 | | | | | | | | | | | ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) &
% 94.40/14.48 | | | | | | | | | | | ( ~ (all_26_26 = e12) | ~ (all_26_29 = e12)) &
% 94.40/14.48 | | | | | | | | | | | ( ~ (all_26_26 = e11) | ~ (all_26_29 = e11)) &
% 94.40/14.48 | | | | | | | | | | | ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10))) |
% 94.40/14.48 | | | | | | | | | | | (all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) |
% 94.40/14.48 | | | | | | | | | | | ~ (all_26_30 = e12)) & ( ~ (all_26_27 = e11) |
% 94.40/14.48 | | | | | | | | | | | ~ (all_26_30 = e11)) & ( ~ (all_26_27 = e10)
% 94.40/14.48 | | | | | | | | | | | | ~ (all_26_30 = e10)))
% 94.40/14.48 | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | BETA: splitting (143) gives:
% 94.40/14.48 | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | Case 1:
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | (144) all_26_31 = e13 & ( ~ (all_26_25 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | | (all_26_28 = e13)) & ( ~ (all_26_25 = e12) | ~
% 94.40/14.48 | | | | | | | | | | | | (all_26_28 = e12)) & ( ~ (all_26_25 = e11) | ~
% 94.40/14.48 | | | | | | | | | | | | (all_26_28 = e11)) & ( ~ (all_26_25 = e10) | ~
% 94.40/14.48 | | | | | | | | | | | | (all_26_28 = e10))
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | ALPHA: (144) implies:
% 94.40/14.48 | | | | | | | | | | | | (145) ~ (all_26_25 = e12) | ~ (all_26_28 = e12)
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | REF_CLOSE: (10), (62), (145) are inconsistent by sub-proof
% 94.40/14.48 | | | | | | | | | | | | #22.
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | Case 2:
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | (146) (all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) |
% 94.40/14.48 | | | | | | | | | | | | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) |
% 94.40/14.48 | | | | | | | | | | | | ~ (all_26_29 = e11)) & ( ~ (all_26_26 = e10)
% 94.40/14.48 | | | | | | | | | | | | | ~ (all_26_29 = e10))) | (all_26_31 = e11 &
% 94.40/14.48 | | | | | | | | | | | | ( ~ (all_26_27 = e13) | ~ (all_26_30 = e13)) &
% 94.40/14.48 | | | | | | | | | | | | ( ~ (all_26_27 = e12) | ~ (all_26_30 = e12)) &
% 94.40/14.48 | | | | | | | | | | | | ( ~ (all_26_27 = e11) | ~ (all_26_30 = e11)) &
% 94.40/14.48 | | | | | | | | | | | | ( ~ (all_26_27 = e10) | ~ (all_26_30 = e10)))
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | BETA: splitting (146) gives:
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | Case 1:
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | (147) all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_29 = e13)) & ( ~ (all_26_26 = e12) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_29 = e10))
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | ALPHA: (147) implies:
% 94.40/14.48 | | | | | | | | | | | | | (148) all_26_31 = e12
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | COMBINE_EQS: (9), (148) imply:
% 94.40/14.48 | | | | | | | | | | | | | (149) e12 = e11
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | SIMP: (149) implies:
% 94.40/14.48 | | | | | | | | | | | | | (150) e12 = e11
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | REDUCE: (65), (150) imply:
% 94.40/14.48 | | | | | | | | | | | | | (151) $false
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | Case 2:
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | (152) all_26_31 = e11 & ( ~ (all_26_27 = e13) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_30 = e13)) & ( ~ (all_26_27 = e12) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_30 = e12)) & ( ~ (all_26_27 = e11) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_30 = e11)) & ( ~ (all_26_27 = e10) | ~
% 94.40/14.48 | | | | | | | | | | | | | (all_26_30 = e10))
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | ALPHA: (152) implies:
% 94.40/14.48 | | | | | | | | | | | | | (153) ~ (all_26_27 = e13) | ~ (all_26_30 = e13)
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | | REF_CLOSE: (15), (30), (153) are inconsistent by sub-proof
% 94.40/14.48 | | | | | | | | | | | | | #15.
% 94.40/14.48 | | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | | End of split
% 94.40/14.48 | | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | | End of split
% 94.40/14.48 | | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | | End of split
% 94.40/14.48 | | | | | | | | | |
% 94.40/14.48 | | | | | | | | | End of split
% 94.40/14.48 | | | | | | | | |
% 94.40/14.48 | | | | | | | | End of split
% 94.40/14.48 | | | | | | | |
% 94.40/14.48 | | | | | | | End of split
% 94.40/14.48 | | | | | | |
% 94.40/14.48 | | | | | | Case 2:
% 94.40/14.48 | | | | | | |
% 94.40/14.48 | | | | | | | (154) all_22_5 = e11 | all_22_10 = e11
% 94.40/14.48 | | | | | | |
% 94.40/14.48 | | | | | | | REF_CLOSE: (12), (14), (21), (22), (24), (28), (31), (154) are
% 94.40/14.48 | | | | | | | inconsistent by sub-proof #9.
% 94.40/14.48 | | | | | | |
% 94.40/14.48 | | | | | | End of split
% 94.40/14.48 | | | | | |
% 94.40/14.48 | | | | | Case 2:
% 94.40/14.48 | | | | | |
% 94.40/14.48 | | | | | | (155) all_16_12 = e10
% 94.40/14.48 | | | | | |
% 94.40/14.48 | | | | | | COMBINE_EQS: (20), (155) imply:
% 94.40/14.48 | | | | | | (156) all_12_3 = e10
% 94.40/14.48 | | | | | |
% 94.40/14.48 | | | | | | REDUCE: (40), (156) imply:
% 94.40/14.48 | | | | | | (157) $false
% 94.40/14.48 | | | | | |
% 94.40/14.48 | | | | | | CLOSE: (157) is inconsistent.
% 94.40/14.48 | | | | | |
% 94.40/14.48 | | | | | End of split
% 94.40/14.48 | | | | |
% 94.40/14.48 | | | | Case 2:
% 94.40/14.48 | | | | |
% 94.40/14.48 | | | | | (158) all_22_14 = e10
% 94.40/14.48 | | | | |
% 94.40/14.48 | | | | | COMBINE_EQS: (42), (158) imply:
% 94.40/14.48 | | | | | (159) e13 = e10
% 94.40/14.48 | | | | |
% 94.40/14.48 | | | | | REDUCE: (2), (159) imply:
% 94.40/14.48 | | | | | (160) $false
% 94.40/14.48 | | | | |
% 94.40/14.48 | | | | | CLOSE: (160) is inconsistent.
% 94.40/14.48 | | | | |
% 94.40/14.48 | | | | End of split
% 94.40/14.48 | | | |
% 94.40/14.48 | | | End of split
% 94.40/14.48 | | |
% 94.40/14.48 | | End of split
% 94.40/14.48 | |
% 94.40/14.48 | End of split
% 94.40/14.48 |
% 94.40/14.48 End of proof
% 94.40/14.48
% 94.40/14.48 Sub-proof #9 shows that the following formulas are inconsistent:
% 94.40/14.48 ----------------------------------------------------------------
% 94.40/14.48 (1) all_22_5 = e11 | all_22_10 = e11
% 94.40/14.48 (2) all_22_5 = all_12_9
% 94.40/14.48 (3) ~ (all_12_9 = e11)
% 94.40/14.48 (4) all_22_10 = e10
% 94.40/14.48 (5) all_16_6 = all_12_9
% 94.40/14.48 (6) all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10
% 94.40/14.48 (7) ~ (e11 = e10)
% 94.40/14.48 (8) ~ (all_12_9 = e10)
% 94.40/14.48
% 94.40/14.48 Begin of proof
% 94.40/14.48 |
% 94.40/14.48 | BETA: splitting (6) gives:
% 94.40/14.48 |
% 94.40/14.48 | Case 1:
% 94.40/14.48 | |
% 94.40/14.48 | | (9) all_16_6 = e11
% 94.40/14.48 | |
% 94.40/14.48 | | COMBINE_EQS: (5), (9) imply:
% 94.40/14.48 | | (10) all_12_9 = e11
% 94.40/14.48 | |
% 94.40/14.48 | | REDUCE: (3), (10) imply:
% 94.40/14.48 | | (11) $false
% 94.40/14.48 | |
% 94.40/14.48 | | CLOSE: (11) is inconsistent.
% 94.40/14.48 | |
% 94.40/14.48 | Case 2:
% 94.40/14.48 | |
% 94.40/14.48 | | (12) ~ (all_16_6 = e11)
% 94.40/14.48 | | (13) all_16_6 = e12 | all_16_6 = e10
% 94.40/14.48 | |
% 94.40/14.48 | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (13) are inconsistent by
% 94.40/14.48 | | sub-proof #16.
% 94.40/14.48 | |
% 94.40/14.48 | End of split
% 94.40/14.48 |
% 94.40/14.48 End of proof
% 94.40/14.48
% 94.40/14.48 Sub-proof #10 shows that the following formulas are inconsistent:
% 94.40/14.48 ----------------------------------------------------------------
% 94.40/14.48 (1) ~ (all_26_17 = e11) | ~ (all_26_18 = e11)
% 94.40/14.48 (2) all_26_17 = e11
% 94.40/14.48 (3) all_26_18 = e11
% 94.40/14.48
% 94.40/14.48 Begin of proof
% 94.40/14.48 |
% 94.40/14.48 | BETA: splitting (1) gives:
% 94.40/14.48 |
% 94.40/14.48 | Case 1:
% 94.40/14.48 | |
% 94.40/14.48 | | (4) ~ (all_26_17 = e11)
% 94.40/14.48 | |
% 94.40/14.48 | | REDUCE: (2), (4) imply:
% 94.40/14.48 | | (5) $false
% 94.40/14.48 | |
% 94.40/14.48 | | CLOSE: (5) is inconsistent.
% 94.40/14.48 | |
% 94.40/14.48 | Case 2:
% 94.40/14.48 | |
% 94.40/14.48 | | (6) ~ (all_26_18 = e11)
% 94.40/14.48 | |
% 94.40/14.48 | | REDUCE: (3), (6) imply:
% 94.40/14.48 | | (7) $false
% 94.40/14.48 | |
% 94.40/14.48 | | CLOSE: (7) is inconsistent.
% 94.40/14.48 | |
% 94.40/14.48 | End of split
% 94.40/14.48 |
% 94.40/14.48 End of proof
% 94.40/14.48
% 94.40/14.48 Sub-proof #11 shows that the following formulas are inconsistent:
% 94.40/14.48 ----------------------------------------------------------------
% 94.40/14.48 (1) all_26_21 = e10
% 94.40/14.48 (2) all_26_21 = all_26_23
% 94.40/14.48 (3) all_26_23 = all_12_9
% 94.40/14.48 (4) ~ (all_12_9 = e10)
% 94.40/14.48
% 94.40/14.48 Begin of proof
% 94.40/14.48 |
% 94.40/14.48 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.48 | (5) all_26_23 = e10
% 94.40/14.48 |
% 94.40/14.48 | COMBINE_EQS: (3), (5) imply:
% 94.40/14.48 | (6) all_12_9 = e10
% 94.40/14.48 |
% 94.40/14.48 | SIMP: (6) implies:
% 94.40/14.48 | (7) all_12_9 = e10
% 94.40/14.48 |
% 94.40/14.48 | REDUCE: (4), (7) imply:
% 94.40/14.48 | (8) $false
% 94.40/14.48 |
% 94.40/14.48 | CLOSE: (8) is inconsistent.
% 94.40/14.48 |
% 94.40/14.48 End of proof
% 94.40/14.48
% 94.40/14.48 Sub-proof #12 shows that the following formulas are inconsistent:
% 94.40/14.48 ----------------------------------------------------------------
% 94.40/14.48 (1) all_26_20 = e12
% 94.40/14.48 (2) all_26_20 = all_26_22
% 94.40/14.48 (3) all_26_22 = e10
% 94.40/14.48 (4) ~ (e12 = e10)
% 94.40/14.48
% 94.40/14.48 Begin of proof
% 94.40/14.48 |
% 94.40/14.48 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.48 | (5) all_26_22 = e12
% 94.40/14.48 |
% 94.40/14.48 | COMBINE_EQS: (3), (5) imply:
% 94.40/14.48 | (6) e12 = e10
% 94.40/14.48 |
% 94.40/14.48 | REDUCE: (4), (6) imply:
% 94.40/14.48 | (7) $false
% 94.40/14.48 |
% 94.40/14.48 | CLOSE: (7) is inconsistent.
% 94.40/14.48 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #13 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) ~ (all_12_2 = e10)
% 94.40/14.49 (2) all_16_8 = all_12_2
% 94.40/14.49 (3) ~ (all_12_2 = e12)
% 94.40/14.49 (4) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 94.40/14.49 (5) ~ (all_12_2 = e11)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | BETA: splitting (4) gives:
% 94.40/14.49 |
% 94.40/14.49 | Case 1:
% 94.40/14.49 | |
% 94.40/14.49 | | (6) all_16_8 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | COMBINE_EQS: (2), (6) imply:
% 94.40/14.49 | | (7) all_12_2 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | SIMP: (7) implies:
% 94.40/14.49 | | (8) all_12_2 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (5), (8) imply:
% 94.40/14.49 | | (9) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (9) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | Case 2:
% 94.40/14.49 | |
% 94.40/14.49 | | (10) all_16_8 = e12 | all_16_8 = e10
% 94.40/14.49 | |
% 94.40/14.49 | | BETA: splitting (10) gives:
% 94.40/14.49 | |
% 94.40/14.49 | | Case 1:
% 94.40/14.49 | | |
% 94.40/14.49 | | | (11) all_16_8 = e12
% 94.40/14.49 | | |
% 94.40/14.49 | | | COMBINE_EQS: (2), (11) imply:
% 94.40/14.49 | | | (12) all_12_2 = e12
% 94.40/14.49 | | |
% 94.40/14.49 | | | SIMP: (12) implies:
% 94.40/14.49 | | | (13) all_12_2 = e12
% 94.40/14.49 | | |
% 94.40/14.49 | | | REDUCE: (3), (13) imply:
% 94.40/14.49 | | | (14) $false
% 94.40/14.49 | | |
% 94.40/14.49 | | | CLOSE: (14) is inconsistent.
% 94.40/14.49 | | |
% 94.40/14.49 | | Case 2:
% 94.40/14.49 | | |
% 94.40/14.49 | | | (15) all_16_8 = e10
% 94.40/14.49 | | |
% 94.40/14.49 | | | COMBINE_EQS: (2), (15) imply:
% 94.40/14.49 | | | (16) all_12_2 = e10
% 94.40/14.49 | | |
% 94.40/14.49 | | | SIMP: (16) implies:
% 94.40/14.49 | | | (17) all_12_2 = e10
% 94.40/14.49 | | |
% 94.40/14.49 | | | REDUCE: (1), (17) imply:
% 94.40/14.49 | | | (18) $false
% 94.40/14.49 | | |
% 94.40/14.49 | | | CLOSE: (18) is inconsistent.
% 94.40/14.49 | | |
% 94.40/14.49 | | End of split
% 94.40/14.49 | |
% 94.40/14.49 | End of split
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #14 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_26_31 = e12 & ( ~ (all_26_26 = e13) | ~ (all_26_29 = e13)) & ( ~
% 94.40/14.49 (all_26_26 = e12) | ~ (all_26_29 = e12)) & ( ~ (all_26_26 = e11) | ~
% 94.40/14.49 (all_26_29 = e11)) & ( ~ (all_26_26 = e10) | ~ (all_26_29 = e10))
% 94.40/14.49 (2) all_26_31 = e11
% 94.40/14.49 (3) ~ (e12 = e11)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | ALPHA: (1) implies:
% 94.40/14.49 | (4) all_26_31 = e12
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (2), (4) imply:
% 94.40/14.49 | (5) e12 = e11
% 94.40/14.49 |
% 94.40/14.49 | REDUCE: (3), (5) imply:
% 94.40/14.49 | (6) $false
% 94.40/14.49 |
% 94.40/14.49 | CLOSE: (6) is inconsistent.
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #15 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) ~ (all_26_27 = e13) | ~ (all_26_30 = e13)
% 94.40/14.49 (2) all_26_27 = e13
% 94.40/14.49 (3) all_26_30 = e13
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | BETA: splitting (1) gives:
% 94.40/14.49 |
% 94.40/14.49 | Case 1:
% 94.40/14.49 | |
% 94.40/14.49 | | (4) ~ (all_26_27 = e13)
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (2), (4) imply:
% 94.40/14.49 | | (5) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (5) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | Case 2:
% 94.40/14.49 | |
% 94.40/14.49 | | (6) ~ (all_26_30 = e13)
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (3), (6) imply:
% 94.40/14.49 | | (7) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (7) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | End of split
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #16 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_22_5 = e11 | all_22_10 = e11
% 94.40/14.49 (2) all_22_5 = all_12_9
% 94.40/14.49 (3) ~ (all_12_9 = e11)
% 94.40/14.49 (4) all_22_10 = e10
% 94.40/14.49 (5) all_16_6 = all_12_9
% 94.40/14.49 (6) all_16_6 = e12 | all_16_6 = e10
% 94.40/14.49 (7) ~ (e11 = e10)
% 94.40/14.49 (8) ~ (all_12_9 = e10)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | BETA: splitting (6) gives:
% 94.40/14.49 |
% 94.40/14.49 | Case 1:
% 94.40/14.49 | |
% 94.40/14.49 | | (9) all_16_6 = e12
% 94.40/14.49 | |
% 94.40/14.49 | | COMBINE_EQS: (5), (9) imply:
% 94.40/14.49 | | (10) all_12_9 = e12
% 94.40/14.49 | |
% 94.40/14.49 | | COMBINE_EQS: (2), (10) imply:
% 94.40/14.49 | | (11) all_22_5 = e12
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (3), (10) imply:
% 94.40/14.49 | | (12) ~ (e12 = e11)
% 94.40/14.49 | |
% 94.40/14.49 | | REF_CLOSE: (1), (4), (7), (11), (12) are inconsistent by sub-proof #19.
% 94.40/14.49 | |
% 94.40/14.49 | Case 2:
% 94.40/14.49 | |
% 94.40/14.49 | | (13) all_16_6 = e10
% 94.40/14.49 | |
% 94.40/14.49 | | COMBINE_EQS: (5), (13) imply:
% 94.40/14.49 | | (14) all_12_9 = e10
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (8), (14) imply:
% 94.40/14.49 | | (15) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (15) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | End of split
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #17 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_16_9 = all_12_6
% 94.40/14.49 (2) all_16_9 = e10
% 94.40/14.49 (3) ~ (all_12_6 = e10)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.49 | (4) all_12_6 = e10
% 94.40/14.49 |
% 94.40/14.49 | SIMP: (4) implies:
% 94.40/14.49 | (5) all_12_6 = e10
% 94.40/14.49 |
% 94.40/14.49 | REDUCE: (3), (5) imply:
% 94.40/14.49 | (6) $false
% 94.40/14.49 |
% 94.40/14.49 | CLOSE: (6) is inconsistent.
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #18 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) ~ (e13 = e12)
% 94.40/14.49 (2) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 94.40/14.49 (3) all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 94.40/14.49 (4) ~ (e13 = e11)
% 94.40/14.49 (5) ~ (e12 = e10)
% 94.40/14.49 (6) all_22_10 = e10
% 94.40/14.49 (7) ~ (e12 = e11)
% 94.40/14.49 (8) ~ (e11 = e10)
% 94.40/14.49 (9) all_22_3 = e13
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | BETA: splitting (2) gives:
% 94.40/14.49 |
% 94.40/14.49 | Case 1:
% 94.40/14.49 | |
% 94.40/14.49 | | (10) all_22_3 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | REF_CLOSE: (4), (9), (10) are inconsistent by sub-proof #21.
% 94.40/14.49 | |
% 94.40/14.49 | Case 2:
% 94.40/14.49 | |
% 94.40/14.49 | | (11) all_22_5 = e11 | all_22_10 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | BETA: splitting (3) gives:
% 94.40/14.49 | |
% 94.40/14.49 | | Case 1:
% 94.40/14.49 | | |
% 94.40/14.49 | | | (12) all_22_3 = e12
% 94.40/14.49 | | |
% 94.40/14.49 | | | REF_CLOSE: (1), (9), (12) are inconsistent by sub-proof #20.
% 94.40/14.49 | | |
% 94.40/14.49 | | Case 2:
% 94.40/14.49 | | |
% 94.40/14.49 | | | (13) all_22_5 = e12 | all_22_10 = e12
% 94.40/14.49 | | |
% 94.40/14.49 | | | BETA: splitting (13) gives:
% 94.40/14.49 | | |
% 94.40/14.49 | | | Case 1:
% 94.40/14.49 | | | |
% 94.40/14.49 | | | | (14) all_22_5 = e12
% 94.40/14.49 | | | |
% 94.40/14.49 | | | | REF_CLOSE: (6), (7), (8), (11), (14) are inconsistent by sub-proof #19.
% 94.40/14.49 | | | |
% 94.40/14.49 | | | Case 2:
% 94.40/14.49 | | | |
% 94.40/14.49 | | | | (15) all_22_10 = e12
% 94.40/14.49 | | | |
% 94.40/14.49 | | | | COMBINE_EQS: (6), (15) imply:
% 94.40/14.49 | | | | (16) e12 = e10
% 94.40/14.49 | | | |
% 94.40/14.49 | | | | SIMP: (16) implies:
% 94.40/14.49 | | | | (17) e12 = e10
% 94.40/14.49 | | | |
% 94.40/14.49 | | | | REDUCE: (5), (17) imply:
% 94.40/14.49 | | | | (18) $false
% 94.40/14.49 | | | |
% 94.40/14.49 | | | | CLOSE: (18) is inconsistent.
% 94.40/14.49 | | | |
% 94.40/14.49 | | | End of split
% 94.40/14.49 | | |
% 94.40/14.49 | | End of split
% 94.40/14.49 | |
% 94.40/14.49 | End of split
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #19 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_22_5 = e11 | all_22_10 = e11
% 94.40/14.49 (2) all_22_10 = e10
% 94.40/14.49 (3) ~ (e12 = e11)
% 94.40/14.49 (4) ~ (e11 = e10)
% 94.40/14.49 (5) all_22_5 = e12
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | BETA: splitting (1) gives:
% 94.40/14.49 |
% 94.40/14.49 | Case 1:
% 94.40/14.49 | |
% 94.40/14.49 | | (6) all_22_5 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | COMBINE_EQS: (5), (6) imply:
% 94.40/14.49 | | (7) e12 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | SIMP: (7) implies:
% 94.40/14.49 | | (8) e12 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (3), (8) imply:
% 94.40/14.49 | | (9) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (9) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | Case 2:
% 94.40/14.49 | |
% 94.40/14.49 | | (10) all_22_10 = e11
% 94.40/14.49 | |
% 94.40/14.49 | | COMBINE_EQS: (2), (10) imply:
% 94.40/14.49 | | (11) e11 = e10
% 94.40/14.49 | |
% 94.40/14.49 | | SIMP: (11) implies:
% 94.40/14.49 | | (12) e11 = e10
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (4), (12) imply:
% 94.40/14.49 | | (13) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (13) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | End of split
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #20 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_22_3 = e13
% 94.40/14.49 (2) all_22_3 = e12
% 94.40/14.49 (3) ~ (e13 = e12)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.49 | (4) e13 = e12
% 94.40/14.49 |
% 94.40/14.49 | SIMP: (4) implies:
% 94.40/14.49 | (5) e13 = e12
% 94.40/14.49 |
% 94.40/14.49 | REDUCE: (3), (5) imply:
% 94.40/14.49 | (6) $false
% 94.40/14.49 |
% 94.40/14.49 | CLOSE: (6) is inconsistent.
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #21 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_22_3 = e13
% 94.40/14.49 (2) all_22_3 = e11
% 94.40/14.49 (3) ~ (e13 = e11)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.49 | (4) e13 = e11
% 94.40/14.49 |
% 94.40/14.49 | SIMP: (4) implies:
% 94.40/14.49 | (5) e13 = e11
% 94.40/14.49 |
% 94.40/14.49 | REDUCE: (3), (5) imply:
% 94.40/14.49 | (6) $false
% 94.40/14.49 |
% 94.40/14.49 | CLOSE: (6) is inconsistent.
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #22 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) ~ (all_26_25 = e12) | ~ (all_26_28 = e12)
% 94.40/14.49 (2) all_26_25 = e12
% 94.40/14.49 (3) all_26_28 = e12
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | BETA: splitting (1) gives:
% 94.40/14.49 |
% 94.40/14.49 | Case 1:
% 94.40/14.49 | |
% 94.40/14.49 | | (4) ~ (all_26_25 = e12)
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (2), (4) imply:
% 94.40/14.49 | | (5) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (5) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | Case 2:
% 94.40/14.49 | |
% 94.40/14.49 | | (6) ~ (all_26_28 = e12)
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (3), (6) imply:
% 94.40/14.49 | | (7) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (7) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | End of split
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #23 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) ~ (all_26_20 = e10) | ~ (all_26_22 = e10)
% 94.40/14.49 (2) all_26_20 = e10
% 94.40/14.49 (3) all_26_22 = e10
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | BETA: splitting (1) gives:
% 94.40/14.49 |
% 94.40/14.49 | Case 1:
% 94.40/14.49 | |
% 94.40/14.49 | | (4) ~ (all_26_20 = e10)
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (2), (4) imply:
% 94.40/14.49 | | (5) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (5) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | Case 2:
% 94.40/14.49 | |
% 94.40/14.49 | | (6) ~ (all_26_22 = e10)
% 94.40/14.49 | |
% 94.40/14.49 | | REDUCE: (3), (6) imply:
% 94.40/14.49 | | (7) $false
% 94.40/14.49 | |
% 94.40/14.49 | | CLOSE: (7) is inconsistent.
% 94.40/14.49 | |
% 94.40/14.49 | End of split
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #24 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_22_2 = e13
% 94.40/14.49 (2) all_22_2 = e12
% 94.40/14.49 (3) ~ (e13 = e12)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.49 | (4) e13 = e12
% 94.40/14.49 |
% 94.40/14.49 | SIMP: (4) implies:
% 94.40/14.49 | (5) e13 = e12
% 94.40/14.49 |
% 94.40/14.49 | REDUCE: (3), (5) imply:
% 94.40/14.49 | (6) $false
% 94.40/14.49 |
% 94.40/14.49 | CLOSE: (6) is inconsistent.
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #25 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_16_8 = all_12_2
% 94.40/14.49 (2) all_16_8 = e13
% 94.40/14.49 (3) ~ (all_12_2 = e13)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.49 | (4) all_12_2 = e13
% 94.40/14.49 |
% 94.40/14.49 | SIMP: (4) implies:
% 94.40/14.49 | (5) all_12_2 = e13
% 94.40/14.49 |
% 94.40/14.49 | REDUCE: (3), (5) imply:
% 94.40/14.49 | (6) $false
% 94.40/14.49 |
% 94.40/14.49 | CLOSE: (6) is inconsistent.
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #26 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_20_2 = e23
% 94.40/14.49 (2) all_20_2 = e22
% 94.40/14.49 (3) ~ (e23 = e22)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.49 | (4) e23 = e22
% 94.40/14.49 |
% 94.40/14.49 | SIMP: (4) implies:
% 94.40/14.49 | (5) e23 = e22
% 94.40/14.49 |
% 94.40/14.49 | REDUCE: (3), (5) imply:
% 94.40/14.49 | (6) $false
% 94.40/14.49 |
% 94.40/14.49 | CLOSE: (6) is inconsistent.
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #27 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_24_21 = e20
% 94.40/14.49 (2) all_24_21 = all_24_23
% 94.40/14.49 (3) all_24_23 = e22
% 94.40/14.49 (4) ~ (e22 = e20)
% 94.40/14.49
% 94.40/14.49 Begin of proof
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.49 | (5) all_24_23 = e20
% 94.40/14.49 |
% 94.40/14.49 | COMBINE_EQS: (3), (5) imply:
% 94.40/14.49 | (6) e22 = e20
% 94.40/14.49 |
% 94.40/14.49 | REDUCE: (4), (6) imply:
% 94.40/14.49 | (7) $false
% 94.40/14.49 |
% 94.40/14.49 | CLOSE: (7) is inconsistent.
% 94.40/14.49 |
% 94.40/14.49 End of proof
% 94.40/14.49
% 94.40/14.49 Sub-proof #28 shows that the following formulas are inconsistent:
% 94.40/14.49 ----------------------------------------------------------------
% 94.40/14.49 (1) all_24_21 = e20
% 94.40/14.49 (2) all_24_22 = e20
% 94.40/14.49 (3) all_24_30 = e23
% 94.40/14.49 (4) ~ (e23 = e21)
% 94.40/14.49 (5) all_24_28 = e22
% 94.40/14.49 (6) all_24_18 = e23
% 94.40/14.50 (7) all_24_26 = e22
% 94.40/14.50 (8) ~ (e22 = e20)
% 94.40/14.50 (9) all_24_20 = e22
% 94.40/14.50 (10) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)) |
% 94.40/14.50 (all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.40/14.50 (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)) |
% 94.40/14.50 (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)) |
% 94.40/14.50 (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.40/14.50 (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 94.40/14.50 (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21)) |
% 94.40/14.50 (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)) |
% 94.40/14.50 (all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)) |
% 94.40/14.50 (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)) |
% 94.40/14.50 (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 94.40/14.50 (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) & ~
% 94.40/14.50 (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28 = e20) | (all_24_26
% 94.40/14.50 = e20 & all_24_29 = e20) | (all_24_27 = e20 & all_24_30 = e20)))
% 94.40/14.50 (11) all_24_29 = e20
% 94.40/14.50 (12) ~ (e21 = e20)
% 94.40/14.50 (13) all_24_25 = e20
% 94.40/14.50 (14) ~ (e23 = e20)
% 94.40/14.50
% 94.40/14.50 Begin of proof
% 94.40/14.50 |
% 94.40/14.50 | BETA: splitting (10) gives:
% 94.40/14.50 |
% 94.40/14.50 | Case 1:
% 94.40/14.50 | |
% 94.40/14.50 | | (15) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)) |
% 94.40/14.50 | | (all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.40/14.50 | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)) |
% 94.40/14.50 | | (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)) |
% 94.40/14.50 | | (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.40/14.50 | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 94.40/14.50 | | (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21))
% 94.40/14.50 | |
% 94.40/14.50 | | BETA: splitting (15) gives:
% 94.40/14.50 | |
% 94.40/14.50 | | Case 1:
% 94.40/14.50 | | |
% 94.40/14.50 | | | (16) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | | (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)) |
% 94.40/14.50 | | | (all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.40/14.50 | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22))
% 94.40/14.50 | | |
% 94.40/14.50 | | | BETA: splitting (16) gives:
% 94.40/14.50 | | |
% 94.40/14.50 | | | Case 1:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | (17) all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | | | (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | ALPHA: (17) implies:
% 94.40/14.50 | | | | (18) ~ (all_24_25 = e20)
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | REDUCE: (13), (18) imply:
% 94.40/14.50 | | | | (19) $false
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | CLOSE: (19) is inconsistent.
% 94.40/14.50 | | | |
% 94.40/14.50 | | | Case 2:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | (20) all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.40/14.50 | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | REF_CLOSE: (6), (20) are inconsistent by sub-proof #72.
% 94.40/14.50 | | | |
% 94.40/14.50 | | | End of split
% 94.40/14.50 | | |
% 94.40/14.50 | | Case 2:
% 94.40/14.50 | | |
% 94.40/14.50 | | | (21) (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | | (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)) |
% 94.40/14.50 | | | (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.40/14.50 | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 94.40/14.50 | | | (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 | | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21))
% 94.40/14.50 | | |
% 94.40/14.50 | | | BETA: splitting (21) gives:
% 94.40/14.50 | | |
% 94.40/14.50 | | | Case 1:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | (22) all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | | | (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | ALPHA: (22) implies:
% 94.40/14.50 | | | | (23) all_24_22 = e23
% 94.40/14.50 | | | | (24) all_24_20 = e23
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | COMBINE_EQS: (9), (24) imply:
% 94.40/14.50 | | | | (25) e23 = e22
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | SIMP: (25) implies:
% 94.40/14.50 | | | | (26) e23 = e22
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | COMBINE_EQS: (2), (23) imply:
% 94.40/14.50 | | | | (27) e23 = e20
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | COMBINE_EQS: (26), (27) imply:
% 94.40/14.50 | | | | (28) e22 = e20
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | REDUCE: (8), (28) imply:
% 94.40/14.50 | | | | (29) $false
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | CLOSE: (29) is inconsistent.
% 94.40/14.50 | | | |
% 94.40/14.50 | | | Case 2:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | (30) (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.40/14.50 | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 94.40/14.50 | | | | (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 | | | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21))
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | BETA: splitting (30) gives:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | Case 1:
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | (31) all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.40/14.50 | | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | ALPHA: (31) implies:
% 94.40/14.50 | | | | | (32) all_24_22 = e21
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | COMBINE_EQS: (2), (32) imply:
% 94.40/14.50 | | | | | (33) e21 = e20
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | REDUCE: (12), (33) imply:
% 94.40/14.50 | | | | | (34) $false
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | CLOSE: (34) is inconsistent.
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | Case 2:
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | (35) all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 | | | | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21)
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | ALPHA: (35) implies:
% 94.40/14.50 | | | | | (36) all_24_21 = e22
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | COMBINE_EQS: (1), (36) imply:
% 94.40/14.50 | | | | | (37) e22 = e20
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | SIMP: (37) implies:
% 94.40/14.50 | | | | | (38) e22 = e20
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | REDUCE: (8), (38) imply:
% 94.40/14.50 | | | | | (39) $false
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | CLOSE: (39) is inconsistent.
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | End of split
% 94.40/14.50 | | | |
% 94.40/14.50 | | | End of split
% 94.40/14.50 | | |
% 94.40/14.50 | | End of split
% 94.40/14.50 | |
% 94.40/14.50 | Case 2:
% 94.40/14.50 | |
% 94.40/14.50 | | (40) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)) |
% 94.40/14.50 | | (all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)) |
% 94.40/14.50 | | (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 | | (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)) |
% 94.40/14.50 | | (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 94.40/14.50 | | (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) &
% 94.40/14.50 | | ~ (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28 = e20) |
% 94.40/14.50 | | (all_24_26 = e20 & all_24_29 = e20) | (all_24_27 = e20 &
% 94.40/14.50 | | all_24_30 = e20)))
% 94.40/14.50 | |
% 94.40/14.50 | | BETA: splitting (40) gives:
% 94.40/14.50 | |
% 94.40/14.50 | | Case 1:
% 94.40/14.50 | | |
% 94.40/14.50 | | | (41) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)) |
% 94.40/14.50 | | | (all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20))
% 94.40/14.50 | | |
% 94.40/14.50 | | | BETA: splitting (41) gives:
% 94.40/14.50 | | |
% 94.40/14.50 | | | Case 1:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | (42) all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | ALPHA: (42) implies:
% 94.40/14.50 | | | | (43) all_24_21 = e21
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | COMBINE_EQS: (1), (43) imply:
% 94.40/14.50 | | | | (44) e21 = e20
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | SIMP: (44) implies:
% 94.40/14.50 | | | | (45) e21 = e20
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | REDUCE: (12), (45) imply:
% 94.40/14.50 | | | | (46) $false
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | CLOSE: (46) is inconsistent.
% 94.40/14.50 | | | |
% 94.40/14.50 | | | Case 2:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | (47) all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.50 | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | ALPHA: (47) implies:
% 94.40/14.50 | | | | (48) all_24_28 = e23
% 94.40/14.50 | | | | (49) all_24_25 = e23
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | COMBINE_EQS: (13), (49) imply:
% 94.40/14.50 | | | | (50) e23 = e20
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | SIMP: (50) implies:
% 94.40/14.50 | | | | (51) e23 = e20
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | COMBINE_EQS: (5), (48) imply:
% 94.40/14.50 | | | | (52) e23 = e22
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | COMBINE_EQS: (51), (52) imply:
% 94.40/14.50 | | | | (53) e22 = e20
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | REDUCE: (8), (53) imply:
% 94.40/14.50 | | | | (54) $false
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | CLOSE: (54) is inconsistent.
% 94.40/14.50 | | | |
% 94.40/14.50 | | | End of split
% 94.40/14.50 | | |
% 94.40/14.50 | | Case 2:
% 94.40/14.50 | | |
% 94.40/14.50 | | | (55) (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 | | | (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)) |
% 94.40/14.50 | | | (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 94.40/14.50 | | | (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21)
% 94.40/14.50 | | | & ~ (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28 = e20) |
% 94.40/14.50 | | | (all_24_26 = e20 & all_24_29 = e20) | (all_24_27 = e20 &
% 94.40/14.50 | | | all_24_30 = e20)))
% 94.40/14.50 | | |
% 94.40/14.50 | | | BETA: splitting (55) gives:
% 94.40/14.50 | | |
% 94.40/14.50 | | | Case 1:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | (56) all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.50 | | | | (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | REF_CLOSE: (11), (56) are inconsistent by sub-proof #33.
% 94.40/14.50 | | | |
% 94.40/14.50 | | | Case 2:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | (57) (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | (
% 94.40/14.50 | | | | ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 =
% 94.40/14.50 | | | | e21) & ~ (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28
% 94.40/14.50 | | | | = e20) | (all_24_26 = e20 & all_24_29 = e20) | (all_24_27
% 94.40/14.50 | | | | = e20 & all_24_30 = e20)))
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | BETA: splitting (57) gives:
% 94.40/14.50 | | | |
% 94.40/14.50 | | | | Case 1:
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | (58) all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.50 | | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | REF_CLOSE: (3), (4), (58) are inconsistent by sub-proof #37.
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | Case 2:
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | (59) ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 =
% 94.40/14.50 | | | | | e21) & ~ (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28
% 94.40/14.50 | | | | | = e20) | (all_24_26 = e20 & all_24_29 = e20) | (all_24_27
% 94.40/14.50 | | | | | = e20 & all_24_30 = e20))
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | ALPHA: (59) implies:
% 94.40/14.50 | | | | | (60) ~ (all_24_29 = e22)
% 94.40/14.50 | | | | | (61) (all_24_25 = e20 & all_24_28 = e20) | (all_24_26 = e20 &
% 94.40/14.50 | | | | | all_24_29 = e20) | (all_24_27 = e20 & all_24_30 = e20)
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | REDUCE: (11), (60) imply:
% 94.40/14.50 | | | | | (62) ~ (e22 = e20)
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | BETA: splitting (61) gives:
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | | Case 1:
% 94.40/14.50 | | | | | |
% 94.40/14.50 | | | | | | (63) all_24_25 = e20 & all_24_28 = e20
% 94.40/14.50 | | | | | |
% 94.40/14.50 | | | | | | ALPHA: (63) implies:
% 94.40/14.50 | | | | | | (64) all_24_28 = e20
% 94.40/14.50 | | | | | |
% 94.40/14.50 | | | | | | REF_CLOSE: (5), (8), (64) are inconsistent by sub-proof #81.
% 94.40/14.50 | | | | | |
% 94.40/14.50 | | | | | Case 2:
% 94.40/14.50 | | | | | |
% 94.40/14.50 | | | | | | (65) (all_24_26 = e20 & all_24_29 = e20) | (all_24_27 = e20 &
% 94.40/14.50 | | | | | | all_24_30 = e20)
% 94.40/14.50 | | | | | |
% 94.40/14.50 | | | | | | BETA: splitting (65) gives:
% 94.40/14.50 | | | | | |
% 94.40/14.50 | | | | | | Case 1:
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | (66) all_24_26 = e20 & all_24_29 = e20
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | ALPHA: (66) implies:
% 94.40/14.50 | | | | | | | (67) all_24_26 = e20
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | COMBINE_EQS: (7), (67) imply:
% 94.40/14.50 | | | | | | | (68) e22 = e20
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | REDUCE: (8), (68) imply:
% 94.40/14.50 | | | | | | | (69) $false
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | CLOSE: (69) is inconsistent.
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | Case 2:
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | (70) all_24_27 = e20 & all_24_30 = e20
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | ALPHA: (70) implies:
% 94.40/14.50 | | | | | | | (71) all_24_30 = e20
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | COMBINE_EQS: (3), (71) imply:
% 94.40/14.50 | | | | | | | (72) e23 = e20
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | SIMP: (72) implies:
% 94.40/14.50 | | | | | | | (73) e23 = e20
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | REDUCE: (14), (73) imply:
% 94.40/14.50 | | | | | | | (74) $false
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | | CLOSE: (74) is inconsistent.
% 94.40/14.50 | | | | | | |
% 94.40/14.50 | | | | | | End of split
% 94.40/14.50 | | | | | |
% 94.40/14.50 | | | | | End of split
% 94.40/14.50 | | | | |
% 94.40/14.50 | | | | End of split
% 94.40/14.50 | | | |
% 94.40/14.50 | | | End of split
% 94.40/14.50 | | |
% 94.40/14.50 | | End of split
% 94.40/14.50 | |
% 94.40/14.50 | End of split
% 94.40/14.50 |
% 94.40/14.50 End of proof
% 94.40/14.50
% 94.40/14.50 Sub-proof #29 shows that the following formulas are inconsistent:
% 94.40/14.50 ----------------------------------------------------------------
% 94.40/14.50 (1) all_24_20 = e22
% 94.40/14.50 (2) all_24_20 = all_24_22
% 94.40/14.50 (3) all_24_22 = e20
% 94.40/14.50 (4) ~ (e22 = e20)
% 94.40/14.50
% 94.40/14.50 Begin of proof
% 94.40/14.50 |
% 94.40/14.50 | COMBINE_EQS: (1), (2) imply:
% 94.40/14.50 | (5) all_24_22 = e22
% 94.40/14.50 |
% 94.40/14.50 | COMBINE_EQS: (3), (5) imply:
% 94.40/14.50 | (6) e22 = e20
% 94.40/14.50 |
% 94.40/14.50 | REDUCE: (4), (6) imply:
% 94.40/14.50 | (7) $false
% 94.40/14.50 |
% 94.40/14.50 | CLOSE: (7) is inconsistent.
% 94.40/14.50 |
% 94.40/14.50 End of proof
% 94.40/14.50
% 94.40/14.50 Sub-proof #30 shows that the following formulas are inconsistent:
% 94.40/14.50 ----------------------------------------------------------------
% 94.40/14.50 (1) ~ (all_24_21 = e22) | ~ (all_24_23 = e22)
% 94.40/14.50 (2) all_24_21 = e22
% 94.40/14.50 (3) all_24_23 = e22
% 94.40/14.50
% 94.40/14.50 Begin of proof
% 94.40/14.50 |
% 94.40/14.50 | BETA: splitting (1) gives:
% 94.40/14.50 |
% 94.40/14.50 | Case 1:
% 94.40/14.50 | |
% 94.40/14.50 | | (4) ~ (all_24_21 = e22)
% 94.40/14.50 | |
% 94.40/14.50 | | REDUCE: (2), (4) imply:
% 94.40/14.50 | | (5) $false
% 94.40/14.50 | |
% 94.40/14.50 | | CLOSE: (5) is inconsistent.
% 94.40/14.50 | |
% 94.40/14.50 | Case 2:
% 94.40/14.50 | |
% 94.40/14.51 | | (6) ~ (all_24_23 = e22)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (3), (6) imply:
% 94.40/14.51 | | (7) $false
% 94.40/14.51 | |
% 94.40/14.51 | | CLOSE: (7) is inconsistent.
% 94.40/14.51 | |
% 94.40/14.51 | End of split
% 94.40/14.51 |
% 94.40/14.51 End of proof
% 94.40/14.51
% 94.40/14.51 Sub-proof #31 shows that the following formulas are inconsistent:
% 94.40/14.51 ----------------------------------------------------------------
% 94.40/14.51 (1) ~ (all_24_25 = e22) | ~ (all_24_28 = e22)
% 94.40/14.51 (2) all_24_25 = e22
% 94.40/14.51 (3) all_24_28 = e22
% 94.40/14.51
% 94.40/14.51 Begin of proof
% 94.40/14.51 |
% 94.40/14.51 | BETA: splitting (1) gives:
% 94.40/14.51 |
% 94.40/14.51 | Case 1:
% 94.40/14.51 | |
% 94.40/14.51 | | (4) ~ (all_24_25 = e22)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (2), (4) imply:
% 94.40/14.51 | | (5) $false
% 94.40/14.51 | |
% 94.40/14.51 | | CLOSE: (5) is inconsistent.
% 94.40/14.51 | |
% 94.40/14.51 | Case 2:
% 94.40/14.51 | |
% 94.40/14.51 | | (6) ~ (all_24_28 = e22)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (3), (6) imply:
% 94.40/14.51 | | (7) $false
% 94.40/14.51 | |
% 94.40/14.51 | | CLOSE: (7) is inconsistent.
% 94.40/14.51 | |
% 94.40/14.51 | End of split
% 94.40/14.51 |
% 94.40/14.51 End of proof
% 94.40/14.51
% 94.40/14.51 Sub-proof #32 shows that the following formulas are inconsistent:
% 94.40/14.51 ----------------------------------------------------------------
% 94.40/14.51 (1) ~ (all_24_20 = e20) | ~ (all_24_22 = e20)
% 94.40/14.51 (2) all_24_20 = e20
% 94.40/14.51 (3) all_24_22 = e20
% 94.40/14.51
% 94.40/14.51 Begin of proof
% 94.40/14.51 |
% 94.40/14.51 | BETA: splitting (1) gives:
% 94.40/14.51 |
% 94.40/14.51 | Case 1:
% 94.40/14.51 | |
% 94.40/14.51 | | (4) ~ (all_24_20 = e20)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (2), (4) imply:
% 94.40/14.51 | | (5) $false
% 94.40/14.51 | |
% 94.40/14.51 | | CLOSE: (5) is inconsistent.
% 94.40/14.51 | |
% 94.40/14.51 | Case 2:
% 94.40/14.51 | |
% 94.40/14.51 | | (6) ~ (all_24_22 = e20)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (3), (6) imply:
% 94.40/14.51 | | (7) $false
% 94.40/14.51 | |
% 94.40/14.51 | | CLOSE: (7) is inconsistent.
% 94.40/14.51 | |
% 94.40/14.51 | End of split
% 94.40/14.51 |
% 94.40/14.51 End of proof
% 94.40/14.51
% 94.40/14.51 Sub-proof #33 shows that the following formulas are inconsistent:
% 94.40/14.51 ----------------------------------------------------------------
% 94.40/14.51 (1) all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~ (all_24_19
% 94.40/14.51 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)
% 94.40/14.51 (2) all_24_29 = e20
% 94.40/14.51
% 94.40/14.51 Begin of proof
% 94.40/14.51 |
% 94.40/14.51 | ALPHA: (1) implies:
% 94.40/14.51 | (3) all_24_29 = e22
% 94.40/14.51 | (4) ~ (e22 = e20)
% 94.40/14.51 |
% 94.40/14.51 | COMBINE_EQS: (2), (3) imply:
% 94.40/14.51 | (5) e22 = e20
% 94.40/14.51 |
% 94.40/14.51 | REDUCE: (4), (5) imply:
% 94.40/14.51 | (6) $false
% 94.40/14.51 |
% 94.40/14.51 | CLOSE: (6) is inconsistent.
% 94.40/14.51 |
% 94.40/14.51 End of proof
% 94.40/14.51
% 94.40/14.51 Sub-proof #34 shows that the following formulas are inconsistent:
% 94.40/14.51 ----------------------------------------------------------------
% 94.40/14.51 (1) ~ (all_24_27 = e23) | ~ (all_24_30 = e23)
% 94.40/14.51 (2) all_24_27 = e23
% 94.40/14.51 (3) all_24_30 = e23
% 94.40/14.51
% 94.40/14.51 Begin of proof
% 94.40/14.51 |
% 94.40/14.51 | BETA: splitting (1) gives:
% 94.40/14.51 |
% 94.40/14.51 | Case 1:
% 94.40/14.51 | |
% 94.40/14.51 | | (4) ~ (all_24_27 = e23)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (2), (4) imply:
% 94.40/14.51 | | (5) $false
% 94.40/14.51 | |
% 94.40/14.51 | | CLOSE: (5) is inconsistent.
% 94.40/14.51 | |
% 94.40/14.51 | Case 2:
% 94.40/14.51 | |
% 94.40/14.51 | | (6) ~ (all_24_30 = e23)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (3), (6) imply:
% 94.40/14.51 | | (7) $false
% 94.40/14.51 | |
% 94.40/14.51 | | CLOSE: (7) is inconsistent.
% 94.40/14.51 | |
% 94.40/14.51 | End of split
% 94.40/14.51 |
% 94.40/14.51 End of proof
% 94.40/14.51
% 94.40/14.51 Sub-proof #35 shows that the following formulas are inconsistent:
% 94.40/14.51 ----------------------------------------------------------------
% 94.40/14.51 (1) all_18_8 = all_14_2
% 94.40/14.51 (2) all_24_17 = e21
% 94.40/14.51 (3) all_24_20 = all_14_2
% 94.40/14.51 (4) all_24_14 = all_14_2
% 94.40/14.51 (5) ~ (all_14_3 = e23)
% 94.40/14.51 (6) ~ (all_14_3 = e21)
% 94.40/14.51 (7) all_24_11 = all_14_3
% 94.40/14.51 (8) ~ (all_24_17 = e21) | ~ (all_24_18 = e21)
% 94.40/14.51 (9) all_24_23 = e22
% 94.40/14.51 (10) ~ (all_14_8 = all_4_2)
% 94.40/14.51 (11) ~ (all_14_4 = e22)
% 94.40/14.51 (12) ~ (all_14_2 = all_14_6)
% 94.40/14.51 (13) all_18_1 = all_14_4
% 94.40/14.51 (14) all_20_0 = e23
% 94.40/14.51 (15) all_20_1 = all_14_4
% 94.40/14.51 (16) all_20_8 = all_4_2
% 94.40/14.51 (17) ~ (all_14_4 = all_14_7)
% 94.40/14.51 (18) ~ (e23 = e21)
% 94.40/14.51 (19) all_24_21 = all_14_6
% 94.40/14.51 (20) all_24_28 = e22
% 94.40/14.51 (21) (all_24_1 = e22 & all_24_17 = all_24_18 & ~ (all_24_18 = all_24_19)) |
% 94.40/14.51 (all_24_2 = e21 & all_24_20 = all_24_22 & ~ (all_24_22 = all_24_24)) |
% 94.40/14.51 (all_24_3 = e20 & all_24_25 = all_24_28 & ~ (all_24_28 = all_24_31)) |
% 94.40/14.51 (all_24_4 = e23 & all_24_17 = all_24_18 & ~ (all_24_16 = all_24_18)) |
% 94.40/14.51 (all_24_6 = e21 & all_24_21 = all_24_23 & ~ (all_24_23 = all_24_24)) |
% 94.40/14.51 (all_24_7 = e20 & all_24_26 = all_24_29 & ~ (all_24_29 = all_24_31)) |
% 94.40/14.51 (all_24_8 = e23 & all_24_20 = all_24_22 & ~ (all_24_16 = all_24_22)) |
% 94.40/14.51 (all_24_9 = e22 & all_24_21 = all_24_23 & ~ (all_24_19 = all_24_23)) |
% 94.40/14.51 (all_24_11 = e20 & all_24_27 = all_24_30 & ~ (all_24_30 = all_24_31)) |
% 94.40/14.51 (all_24_12 = e23 & all_24_25 = all_24_28 & ~ (all_24_16 = all_24_28)) |
% 94.40/14.51 (all_24_13 = e22 & all_24_26 = all_24_29 & ~ (all_24_19 = all_24_29)) |
% 94.40/14.51 (all_24_14 = e21 & all_24_27 = all_24_30 & ~ (all_24_24 = all_24_30))
% 94.40/14.51 (22) ~ (all_14_8 = e23)
% 94.40/14.51 (23) all_20_4 = all_14_8
% 94.40/14.51 (24) all_24_31 = e21
% 94.40/14.51 (25) all_24_22 = all_14_8
% 94.40/14.51 (26) ~ (all_14_6 = all_4_2)
% 94.40/14.51 (27) all_18_10 = all_4_2
% 94.40/14.51 (28) ~ (all_14_2 = e21)
% 94.40/14.51 (29) all_20_5 = e22 | all_20_10 = e22
% 94.40/14.51 (30) all_20_10 = e20
% 94.40/14.51 (31) all_24_18 = all_14_4
% 94.40/14.51 (32) ~ (all_14_2 = all_14_3)
% 94.40/14.51 (33) all_20_9 = e22
% 94.40/14.51 (34) ~ (all_14_2 = e23)
% 94.40/14.51 (35) all_20_0 = e20 | all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20
% 94.40/14.51 (36) ~ (e22 = e21)
% 94.40/14.51 (37) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 94.40/14.51 (38) all_20_11 = e23
% 94.40/14.51 (39) all_24_7 = e21
% 94.40/14.51 (40) ~ (e22 = e20)
% 94.40/14.51 (41) ~ (all_14_4 = all_14_6)
% 94.40/14.51 (42) ~ (all_14_2 = all_4_2)
% 94.40/14.51 (43) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.51 (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)) |
% 94.40/14.51 (all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.40/14.51 (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)) |
% 94.40/14.51 (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.51 (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)) |
% 94.40/14.51 (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.40/14.51 (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 94.40/14.51 (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.51 (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21)) |
% 94.40/14.51 (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.51 (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)) |
% 94.40/14.51 (all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.51 (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)) |
% 94.40/14.51 (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.51 (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)) |
% 94.40/14.51 (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.51 (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 94.40/14.51 (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) & ~
% 94.40/14.51 (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28 = e20) | (all_24_26
% 94.40/14.51 = e20 & all_24_29 = e20) | (all_24_27 = e20 & all_24_30 = e20)))
% 94.40/14.51 (44) ~ (all_4_2 = e23)
% 94.40/14.51 (45) all_24_26 = all_14_7
% 94.40/14.51 (46) all_24_29 = e20
% 94.40/14.51 (47) all_20_6 = all_14_2
% 94.40/14.51 (48) all_20_5 = e22
% 94.40/14.51 (49) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 94.40/14.51 (50) all_20_6 = e21 | all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21
% 94.40/14.51 (51) all_20_0 = e21 | all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21
% 94.40/14.51 (52) ~ (e23 = e20)
% 94.40/14.51 (53) all_24_27 = e23
% 94.40/14.51 (54) all_24_3 = all_14_7
% 94.40/14.51 (55) all_20_7 = all_14_6
% 94.40/14.51 (56) all_20_6 = e22 | all_20_7 = e22 | all_20_8 = e22 | all_20_11 = e22
% 94.40/14.51 (57) all_24_25 = all_14_3
% 94.40/14.51 (58) ~ (all_14_3 = all_14_7)
% 94.40/14.51 (59) ~ (all_4_2 = e22)
% 94.40/14.51 (60) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 94.40/14.51
% 94.40/14.51 Begin of proof
% 94.40/14.51 |
% 94.40/14.51 | BETA: splitting (8) gives:
% 94.40/14.51 |
% 94.40/14.51 | Case 1:
% 94.40/14.51 | |
% 94.40/14.51 | | (61) ~ (all_24_17 = e21)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (2), (61) imply:
% 94.40/14.51 | | (62) $false
% 94.40/14.51 | |
% 94.40/14.51 | | CLOSE: (62) is inconsistent.
% 94.40/14.51 | |
% 94.40/14.51 | Case 2:
% 94.40/14.51 | |
% 94.40/14.51 | | (63) ~ (all_24_18 = e21)
% 94.40/14.51 | |
% 94.40/14.51 | | REDUCE: (31), (63) imply:
% 94.40/14.51 | | (64) ~ (all_14_4 = e21)
% 94.40/14.51 | |
% 94.40/14.51 | | BETA: splitting (51) gives:
% 94.40/14.51 | |
% 94.40/14.51 | | Case 1:
% 94.40/14.51 | | |
% 94.40/14.51 | | | (65) all_20_0 = e21
% 94.40/14.51 | | |
% 94.40/14.51 | | | REF_CLOSE: (14), (18), (65) are inconsistent by sub-proof #46.
% 94.40/14.51 | | |
% 94.40/14.51 | | Case 2:
% 94.40/14.51 | | |
% 94.40/14.51 | | | (66) all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21
% 94.40/14.51 | | |
% 94.40/14.51 | | | BETA: splitting (66) gives:
% 94.40/14.51 | | |
% 94.40/14.51 | | | Case 1:
% 94.40/14.51 | | | |
% 94.40/14.51 | | | | (67) all_20_1 = e21
% 94.40/14.51 | | | |
% 94.40/14.51 | | | | REF_CLOSE: (15), (64), (67) are inconsistent by sub-proof #87.
% 94.40/14.51 | | | |
% 94.40/14.51 | | | Case 2:
% 94.40/14.51 | | | |
% 94.40/14.51 | | | | (68) all_20_4 = e21 | all_20_9 = e21
% 94.40/14.51 | | | |
% 94.40/14.51 | | | | BETA: splitting (68) gives:
% 94.40/14.51 | | | |
% 94.40/14.51 | | | | Case 1:
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | (69) all_20_4 = e21
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | COMBINE_EQS: (23), (69) imply:
% 94.40/14.51 | | | | | (70) all_14_8 = e21
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | SIMP: (70) implies:
% 94.40/14.51 | | | | | (71) all_14_8 = e21
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | COMBINE_EQS: (25), (71) imply:
% 94.40/14.51 | | | | | (72) all_24_22 = e21
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | REDUCE: (10), (71) imply:
% 94.40/14.51 | | | | | (73) ~ (all_4_2 = e21)
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | SIMP: (73) implies:
% 94.40/14.51 | | | | | (74) ~ (all_4_2 = e21)
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | REDUCE: (22), (71) imply:
% 94.40/14.51 | | | | | (75) ~ (e23 = e21)
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | BETA: splitting (37) gives:
% 94.40/14.51 | | | | |
% 94.40/14.51 | | | | | Case 1:
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | | (76) all_18_10 = e23
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | | COMBINE_EQS: (27), (76) imply:
% 94.40/14.51 | | | | | | (77) all_4_2 = e23
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | | SIMP: (77) implies:
% 94.40/14.51 | | | | | | (78) all_4_2 = e23
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | | REDUCE: (44), (78) imply:
% 94.40/14.51 | | | | | | (79) $false
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | | CLOSE: (79) is inconsistent.
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | Case 2:
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | | (80) all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | | BETA: splitting (50) gives:
% 94.40/14.51 | | | | | |
% 94.40/14.51 | | | | | | Case 1:
% 94.40/14.51 | | | | | | |
% 94.40/14.51 | | | | | | | (81) all_20_6 = e21
% 94.40/14.51 | | | | | | |
% 94.40/14.51 | | | | | | | REF_CLOSE: (28), (47), (81) are inconsistent by sub-proof #45.
% 94.40/14.51 | | | | | | |
% 94.40/14.51 | | | | | | Case 2:
% 94.40/14.51 | | | | | | |
% 94.40/14.51 | | | | | | | (82) all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21
% 94.40/14.51 | | | | | | |
% 94.40/14.51 | | | | | | | BETA: splitting (82) gives:
% 94.40/14.51 | | | | | | |
% 94.40/14.51 | | | | | | | Case 1:
% 94.40/14.51 | | | | | | | |
% 94.40/14.51 | | | | | | | | (83) all_20_7 = e21
% 94.40/14.51 | | | | | | | |
% 94.40/14.51 | | | | | | | | COMBINE_EQS: (55), (83) imply:
% 94.40/14.51 | | | | | | | | (84) all_14_6 = e21
% 94.40/14.51 | | | | | | | |
% 94.40/14.51 | | | | | | | | SIMP: (84) implies:
% 94.40/14.51 | | | | | | | | (85) all_14_6 = e21
% 94.40/14.51 | | | | | | | |
% 94.40/14.51 | | | | | | | | COMBINE_EQS: (19), (85) imply:
% 94.40/14.51 | | | | | | | | (86) all_24_21 = e21
% 94.40/14.51 | | | | | | | |
% 94.40/14.51 | | | | | | | | BETA: splitting (56) gives:
% 94.40/14.51 | | | | | | | |
% 94.40/14.51 | | | | | | | | Case 1:
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | (87) all_20_6 = e22
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | COMBINE_EQS: (47), (87) imply:
% 94.40/14.51 | | | | | | | | | (88) all_14_2 = e22
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | SIMP: (88) implies:
% 94.40/14.51 | | | | | | | | | (89) all_14_2 = e22
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | COMBINE_EQS: (3), (89) imply:
% 94.40/14.51 | | | | | | | | | (90) all_24_20 = e22
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | COMBINE_EQS: (4), (89) imply:
% 94.40/14.51 | | | | | | | | | (91) all_24_14 = e22
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | REDUCE: (32), (89) imply:
% 94.40/14.51 | | | | | | | | | (92) ~ (all_14_3 = e22)
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | SIMP: (92) implies:
% 94.40/14.51 | | | | | | | | | (93) ~ (all_14_3 = e22)
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | BETA: splitting (35) gives:
% 94.40/14.51 | | | | | | | | |
% 94.40/14.51 | | | | | | | | | Case 1:
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | (94) all_20_0 = e20
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | COMBINE_EQS: (14), (94) imply:
% 94.40/14.51 | | | | | | | | | | (95) e23 = e20
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | SIMP: (95) implies:
% 94.40/14.51 | | | | | | | | | | (96) e23 = e20
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | REDUCE: (52), (96) imply:
% 94.40/14.51 | | | | | | | | | | (97) $false
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | CLOSE: (97) is inconsistent.
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | Case 2:
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | (98) all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | BETA: splitting (98) gives:
% 94.40/14.51 | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | Case 1:
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | (99) all_20_1 = e20
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | COMBINE_EQS: (15), (99) imply:
% 94.40/14.51 | | | | | | | | | | | (100) all_14_4 = e20
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | SIMP: (100) implies:
% 94.40/14.51 | | | | | | | | | | | (101) all_14_4 = e20
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | COMBINE_EQS: (31), (101) imply:
% 94.40/14.51 | | | | | | | | | | | (102) all_24_18 = e20
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | REDUCE: (17), (101) imply:
% 94.40/14.51 | | | | | | | | | | | (103) ~ (all_14_7 = e20)
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | SIMP: (103) implies:
% 94.40/14.51 | | | | | | | | | | | (104) ~ (all_14_7 = e20)
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | REDUCE: (11), (101) imply:
% 94.40/14.51 | | | | | | | | | | | (105) ~ (e22 = e20)
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | REDUCE: (64), (101) imply:
% 94.40/14.51 | | | | | | | | | | | (106) ~ (e21 = e20)
% 94.40/14.51 | | | | | | | | | | |
% 94.40/14.51 | | | | | | | | | | | SIMP: (106) implies:
% 94.40/14.51 | | | | | | | | | | | (107) ~ (e21 = e20)
% 94.40/14.52 | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | BETA: splitting (21) gives:
% 94.40/14.52 | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | (108) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 94.40/14.52 | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 94.40/14.52 | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 94.40/14.52 | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 94.40/14.52 | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31)) |
% 94.40/14.52 | | | | | | | | | | | | (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 94.40/14.52 | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 94.40/14.52 | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 94.40/14.52 | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 94.40/14.52 | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 94.40/14.52 | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | BETA: splitting (108) gives:
% 94.40/14.52 | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | (109) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 94.40/14.52 | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 94.40/14.52 | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 94.40/14.52 | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 94.40/14.52 | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31))
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | BETA: splitting (109) gives:
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | (110) all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 94.40/14.52 | | | | | | | | | | | | | | (all_24_18 = all_24_19)
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | ALPHA: (110) implies:
% 94.40/14.52 | | | | | | | | | | | | | | (111) all_24_17 = all_24_18
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | COMBINE_EQS: (2), (111) imply:
% 94.40/14.52 | | | | | | | | | | | | | | (112) all_24_18 = e21
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | COMBINE_EQS: (102), (112) imply:
% 94.40/14.52 | | | | | | | | | | | | | | (113) e21 = e20
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | REF_CLOSE: (33), (36), (68), (69), (107), (113) are
% 94.40/14.52 | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | (114) (all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 94.40/14.52 | | | | | | | | | | | | | | (all_24_22 = all_24_24)) | (all_24_3 = e20 &
% 94.40/14.52 | | | | | | | | | | | | | | all_24_25 = all_24_28 & ~ (all_24_28 =
% 94.40/14.52 | | | | | | | | | | | | | | all_24_31))
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | (115) all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 94.40/14.52 | | | | | | | | | | | | | | | (all_24_22 = all_24_24)
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | ALPHA: (115) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (116) all_24_20 = all_24_22
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | COMBINE_EQS: (90), (116) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (117) all_24_22 = e22
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | COMBINE_EQS: (72), (117) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (118) e22 = e21
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (36), (40), (48), (118) are
% 94.40/14.52 | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | (119) all_24_3 = e20 & all_24_25 = all_24_28 & ~
% 94.40/14.52 | | | | | | | | | | | | | | | (all_24_28 = all_24_31)
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | ALPHA: (119) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (120) all_24_3 = e20
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | COMBINE_EQS: (54), (120) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (121) all_14_7 = e20
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | SIMP: (121) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (122) all_14_7 = e20
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | REDUCE: (104), (122) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (123) $false
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | CLOSE: (123) is inconsistent.
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | End of split
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | End of split
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | (124) (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 94.40/14.52 | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 94.40/14.52 | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 94.40/14.52 | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 94.40/14.52 | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | BETA: splitting (124) gives:
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | (125) all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 94.40/14.52 | | | | | | | | | | | | | | (all_24_16 = all_24_18)
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | ALPHA: (125) implies:
% 94.40/14.52 | | | | | | | | | | | | | | (126) all_24_17 = all_24_18
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | COMBINE_EQS: (2), (126) imply:
% 94.40/14.52 | | | | | | | | | | | | | | (127) all_24_18 = e21
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | COMBINE_EQS: (102), (127) imply:
% 94.40/14.52 | | | | | | | | | | | | | | (128) e21 = e20
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | REF_CLOSE: (33), (36), (68), (69), (107), (128) are
% 94.40/14.52 | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | (129) (all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 94.40/14.52 | | | | | | | | | | | | | | (all_24_23 = all_24_24)) | (all_24_7 = e20 &
% 94.40/14.52 | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_29 =
% 94.40/14.52 | | | | | | | | | | | | | | all_24_31))
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | (130) all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 94.40/14.52 | | | | | | | | | | | | | | | (all_24_23 = all_24_24)
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (131) all_24_21 = all_24_23
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | REF_CLOSE: (9), (29), (30), (36), (40), (48), (86), (131) are
% 94.40/14.52 | | | | | | | | | | | | | | | inconsistent by sub-proof #40.
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | (132) all_24_7 = e20 & all_24_26 = all_24_29 & ~
% 94.40/14.52 | | | | | | | | | | | | | | | (all_24_29 = all_24_31)
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (133) all_24_7 = e20
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | COMBINE_EQS: (39), (133) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (134) e21 = e20
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | REF_CLOSE: (33), (36), (68), (69), (107), (134) are
% 94.40/14.52 | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | End of split
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | End of split
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | End of split
% 94.40/14.52 | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | (135) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 94.40/14.52 | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 94.40/14.52 | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 94.40/14.52 | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 94.40/14.52 | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31)) |
% 94.40/14.52 | | | | | | | | | | | | (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 94.40/14.52 | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 94.40/14.52 | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 94.40/14.52 | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 94.40/14.52 | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 94.40/14.52 | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | BETA: splitting (135) gives:
% 94.40/14.52 | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | (136) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 94.40/14.52 | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 94.40/14.52 | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 94.40/14.52 | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 94.40/14.52 | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31))
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | BETA: splitting (136) gives:
% 94.40/14.52 | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | (137) all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 94.40/14.52 | | | | | | | | | | | | | | (all_24_16 = all_24_22)
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | ALPHA: (137) implies:
% 94.40/14.52 | | | | | | | | | | | | | | (138) all_24_20 = all_24_22
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | COMBINE_EQS: (90), (138) imply:
% 94.40/14.52 | | | | | | | | | | | | | | (139) all_24_22 = e22
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | COMBINE_EQS: (72), (139) imply:
% 94.40/14.52 | | | | | | | | | | | | | | (140) e22 = e21
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (36), (40), (48), (140) are
% 94.40/14.52 | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | (141) (all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 94.40/14.52 | | | | | | | | | | | | | | (all_24_19 = all_24_23)) | (all_24_11 = e20 &
% 94.40/14.52 | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_30 =
% 94.40/14.52 | | | | | | | | | | | | | | all_24_31))
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 94.40/14.52 | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | (142) all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 94.40/14.52 | | | | | | | | | | | | | | | (all_24_19 = all_24_23)
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | ALPHA: (142) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (143) all_24_21 = all_24_23
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | REF_CLOSE: (9), (29), (30), (36), (40), (48), (86), (143) are
% 94.40/14.52 | | | | | | | | | | | | | | | inconsistent by sub-proof #40.
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | (144) all_24_11 = e20 & all_24_27 = all_24_30 & ~
% 94.40/14.52 | | | | | | | | | | | | | | | (all_24_30 = all_24_31)
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | ALPHA: (144) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (145) all_24_27 = all_24_30
% 94.40/14.52 | | | | | | | | | | | | | | | (146) all_24_11 = e20
% 94.40/14.52 | | | | | | | | | | | | | | | (147) ~ (all_24_30 = all_24_31)
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | COMBINE_EQS: (7), (146) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (148) all_14_3 = e20
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | SIMP: (148) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (149) all_14_3 = e20
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | COMBINE_EQS: (53), (145) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (150) all_24_30 = e23
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | SIMP: (150) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | (151) all_24_30 = e23
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | COMBINE_EQS: (57), (149) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (152) all_24_25 = e20
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | REDUCE: (5), (149) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | (153) ~ (e23 = e20)
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 94.40/14.52 | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | (154) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 94.40/14.52 | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25
% 94.40/14.52 | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e22)) | (all_24_17 = e22 &
% 94.40/14.52 | | | | | | | | | | | | | | | | all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | (e23 = e22)) | (all_24_20 = e23 & all_24_22 =
% 94.40/14.52 | | | | | | | | | | | | | | | | e23 & ~ (all_24_16 = e23) & ~ (all_24_17 =
% 94.40/14.52 | | | | | | | | | | | | | | | | e22) & ~ (all_24_25 = e20) & ~ (e23 = e21))
% 94.40/14.52 | | | | | | | | | | | | | | | | | (all_24_20 = e21 & all_24_22 = e21 & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | (all_24_27 = e20) & ~ (e23 = e21)) | (all_24_21
% 94.40/14.52 | | | | | | | | | | | | | | | | = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) &
% 94.40/14.52 | | | | | | | | | | | | | | | | ~ (all_24_19 = e22) & ~ (all_24_26 = e20) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | (e22 = e21))
% 94.40/14.52 | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 94.40/14.52 | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | (155) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 94.40/14.52 | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25
% 94.40/14.52 | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e22)) | (all_24_17 = e22 &
% 94.40/14.52 | | | | | | | | | | | | | | | | | all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | | (e23 = e22))
% 94.40/14.52 | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 94.40/14.52 | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (156) all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16
% 94.40/14.52 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_20 = e21) & ~ (all_24_25 =
% 94.40/14.52 | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e22)
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (157) all_24_18 = e23
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (158) all_24_17 = e23
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (158) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (159) e23 = e21
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (157) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (160) e23 = e20
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (159), (160) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (161) e21 = e20
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (161) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (162) all_20_4 = e20
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (36), (68), (107), (162) are inconsistent by
% 94.40/14.52 | | | | | | | | | | | | | | | | | | sub-proof #53.
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (163) all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19
% 94.40/14.52 | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_21 = e21) & ~ (all_24_26 =
% 94.40/14.52 | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e22)
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (164) all_24_18 = e22
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (165) all_24_17 = e22
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (165) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (166) e22 = e21
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (164) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (167) e22 = e20
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (166), (167) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (168) e21 = e20
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (168) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (169) all_20_4 = e20
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (36), (68), (107), (169) are inconsistent by
% 94.40/14.52 | | | | | | | | | | | | | | | | | | sub-proof #53.
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | End of split
% 94.40/14.52 | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | (170) (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16
% 94.40/14.52 | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_25
% 94.40/14.52 | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e21)) | (all_24_20 = e21 &
% 94.40/14.52 | | | | | | | | | | | | | | | | | all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | | (e23 = e21)) | (all_24_21 = e22 & all_24_23 =
% 94.40/14.52 | | | | | | | | | | | | | | | | | e22 & ~ (all_24_18 = e23) & ~ (all_24_19 =
% 94.40/14.52 | | | | | | | | | | | | | | | | | e22) & ~ (all_24_26 = e20) & ~ (e22 = e21))
% 94.40/14.52 | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 94.40/14.52 | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (171) all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16
% 94.40/14.52 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_25 =
% 94.40/14.52 | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e21)
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (172) all_24_22 = e23
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (173) all_24_20 = e23
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (90), (173) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (174) e23 = e22
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (172) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (175) e23 = e21
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (175) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (176) e22 = e21
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (36), (40), (48), (176) are
% 94.40/14.52 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (177) (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23
% 94.40/14.52 | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_24 = e21) & ~ (all_24_27
% 94.40/14.52 | | | | | | | | | | | | | | | | | | = e20) & ~ (e23 = e21)) | (all_24_21 = e22 &
% 94.40/14.52 | | | | | | | | | | | | | | | | | | all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~
% 94.40/14.52 | | | | | | | | | | | | | | | | | | (e22 = e21))
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | Case 1:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | (178) all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_24 = e21) & ~ (all_24_27 =
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | e20) & ~ (e23 = e21)
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | ALPHA: (178) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | (179) all_24_20 = e21
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (90), (179) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | (180) e22 = e21
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (36), (40), (48), (180) are
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | Case 2:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | (181) all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_26 =
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | e20) & ~ (e22 = e21)
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | (182) all_24_21 = e22
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (182) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | (183) e22 = e21
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (183) imply:
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | (184) all_20_5 = e21
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (36), (40), (184) are inconsistent by
% 94.40/14.52 | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 94.40/14.52 | | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | | End of split
% 94.40/14.52 | | | | | | | | | | | | | | | | | |
% 94.40/14.52 | | | | | | | | | | | | | | | | | End of split
% 94.40/14.52 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | (185) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 94.40/14.53 | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27
% 94.40/14.53 | | | | | | | | | | | | | | | | = e20) & ~ (e22 = e21)) | (all_24_25 = e23 &
% 94.40/14.53 | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | (e23 = e20)) | (all_24_26 = e22 & all_24_29 =
% 94.40/14.53 | | | | | | | | | | | | | | | | e22 & ~ (all_24_18 = e23) & ~ (all_24_19 =
% 94.40/14.53 | | | | | | | | | | | | | | | | e22) & ~ (all_24_21 = e21) & ~ (e22 = e20))
% 94.40/14.53 | | | | | | | | | | | | | | | | | (all_24_27 = e21 & all_24_30 = e21 & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | (all_24_22 = e23) & ~ (all_24_23 = e22) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 94.40/14.53 | | | | | | | | | | | | | | | | (all_24_28 = e23) & ~ (all_24_29 = e22) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | (all_24_30 = e21) & ~ (all_24_31 = e20) &
% 94.40/14.53 | | | | | | | | | | | | | | | | ((all_24_25 = e20 & all_24_28 = e20) |
% 94.40/14.53 | | | | | | | | | | | | | | | | (all_24_26 = e20 & all_24_29 = e20) |
% 94.40/14.53 | | | | | | | | | | | | | | | | (all_24_27 = e20 & all_24_30 = e20)))
% 94.40/14.53 | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 94.40/14.53 | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | (186) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 94.40/14.53 | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27
% 94.40/14.53 | | | | | | | | | | | | | | | | | = e20) & ~ (e22 = e21)) | (all_24_25 = e23 &
% 94.40/14.53 | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | | (e23 = e20))
% 94.40/14.53 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 94.40/14.53 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | (187) all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22
% 94.40/14.53 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_24 = e21) & ~ (all_24_27 =
% 94.40/14.53 | | | | | | | | | | | | | | | | | | e20) & ~ (e22 = e21)
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 94.40/14.53 | | | | | | | | | | | | | | | | | | (188) all_24_23 = e21
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (188) imply:
% 94.40/14.53 | | | | | | | | | | | | | | | | | | (189) e22 = e21
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (36), (40), (48), (189) are
% 94.40/14.53 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | (190) all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16
% 94.40/14.53 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_17 = e22) & ~ (all_24_20 =
% 94.40/14.53 | | | | | | | | | | | | | | | | | | e21) & ~ (e23 = e20)
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (40), (152), (190) are inconsistent by
% 94.40/14.53 | | | | | | | | | | | | | | | | | | sub-proof #39.
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | (191) (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18
% 94.40/14.53 | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_21
% 94.40/14.53 | | | | | | | | | | | | | | | | | = e21) & ~ (e22 = e20)) | (all_24_27 = e21 &
% 94.40/14.53 | | | | | | | | | | | | | | | | | all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | | (e21 = e20)) | ( ~ (all_24_28 = e23) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | | (all_24_29 = e22) & ~ (all_24_30 = e21) & ~
% 94.40/14.53 | | | | | | | | | | | | | | | | | (all_24_31 = e20) & ((all_24_25 = e20 &
% 94.40/14.53 | | | | | | | | | | | | | | | | | all_24_28 = e20) | (all_24_26 = e20 &
% 94.40/14.53 | | | | | | | | | | | | | | | | | all_24_29 = e20) | (all_24_27 = e20 &
% 94.40/14.53 | | | | | | | | | | | | | | | | | all_24_30 = e20)))
% 94.40/14.53 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 94.40/14.53 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | (192) all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18
% 94.40/14.53 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_19 = e22) & ~ (all_24_21 =
% 94.40/14.53 | | | | | | | | | | | | | | | | | | e21) & ~ (e22 = e20)
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 94.40/14.53 | | | | | | | | | | | | | | | | | | (193) all_24_29 = e22
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (46), (193) are inconsistent by sub-proof
% 94.40/14.53 | | | | | | | | | | | | | | | | | | #38.
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | (194) (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22
% 94.40/14.53 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_23 = e22) & ~ (all_24_24
% 94.40/14.53 | | | | | | | | | | | | | | | | | | = e21) & ~ (e21 = e20)) | ( ~ (all_24_28 =
% 94.40/14.53 | | | | | | | | | | | | | | | | | | e23) & ~ (all_24_29 = e22) & ~ (all_24_30 =
% 94.40/14.53 | | | | | | | | | | | | | | | | | | e21) & ~ (all_24_31 = e20) & ((all_24_25 =
% 94.40/14.53 | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e20) | (all_24_26 = e20 &
% 94.40/14.53 | | | | | | | | | | | | | | | | | | all_24_29 = e20) | (all_24_27 = e20 &
% 94.40/14.53 | | | | | | | | | | | | | | | | | | all_24_30 = e20)))
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (40), (45), (52), (104), (151), (194)
% 94.40/14.53 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #36.
% 94.40/14.53 | | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | (195) (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 94.40/14.53 | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 94.40/14.53 | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 94.40/14.53 | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 94.40/14.53 | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | BETA: splitting (195) gives:
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | (196) all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 94.40/14.53 | | | | | | | | | | | | | | (all_24_16 = all_24_28)
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | ALPHA: (196) implies:
% 94.40/14.53 | | | | | | | | | | | | | | (197) all_24_25 = all_24_28
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | COMBINE_EQS: (57), (197) imply:
% 94.40/14.53 | | | | | | | | | | | | | | (198) all_24_28 = all_14_3
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | SIMP: (198) implies:
% 94.40/14.53 | | | | | | | | | | | | | | (199) all_24_28 = all_14_3
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | COMBINE_EQS: (20), (199) imply:
% 94.40/14.53 | | | | | | | | | | | | | | (200) all_14_3 = e22
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | SIMP: (200) implies:
% 94.40/14.53 | | | | | | | | | | | | | | (201) all_14_3 = e22
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | REDUCE: (93), (201) imply:
% 94.40/14.53 | | | | | | | | | | | | | | (202) $false
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | (203) (all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 94.40/14.53 | | | | | | | | | | | | | | (all_24_19 = all_24_29)) | (all_24_14 = e21 &
% 94.40/14.53 | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_24 =
% 94.40/14.53 | | | | | | | | | | | | | | all_24_30))
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | (204) all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 94.40/14.53 | | | | | | | | | | | | | | | (all_24_19 = all_24_29)
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 94.40/14.53 | | | | | | | | | | | | | | | (205) all_24_26 = all_24_29
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | COMBINE_EQS: (45), (205) imply:
% 94.40/14.53 | | | | | | | | | | | | | | | (206) all_24_29 = all_14_7
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | SIMP: (206) implies:
% 94.40/14.53 | | | | | | | | | | | | | | | (207) all_24_29 = all_14_7
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | COMBINE_EQS: (46), (207) imply:
% 94.40/14.53 | | | | | | | | | | | | | | | (208) all_14_7 = e20
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | SIMP: (208) implies:
% 94.40/14.53 | | | | | | | | | | | | | | | (209) all_14_7 = e20
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | REDUCE: (104), (209) imply:
% 94.40/14.53 | | | | | | | | | | | | | | | (210) $false
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | CLOSE: (210) is inconsistent.
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | (211) all_24_14 = e21 & all_24_27 = all_24_30 & ~
% 94.40/14.53 | | | | | | | | | | | | | | | (all_24_24 = all_24_30)
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 94.40/14.53 | | | | | | | | | | | | | | | (212) all_24_14 = e21
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | COMBINE_EQS: (91), (212) imply:
% 94.40/14.53 | | | | | | | | | | | | | | | (213) e22 = e21
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (36), (40), (48), (213) are
% 94.40/14.53 | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 94.40/14.53 | | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | (214) ~ (all_20_1 = e20)
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | REDUCE: (15), (214) imply:
% 94.40/14.53 | | | | | | | | | | | (215) ~ (all_14_4 = e20)
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | REF_CLOSE: (11), (13), (60), (64), (215) are inconsistent by
% 94.40/14.53 | | | | | | | | | | | sub-proof #78.
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | End of split
% 94.40/14.53 | | | | | | | | |
% 94.40/14.53 | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | |
% 94.40/14.53 | | | | | | | | | (216) ~ (all_20_6 = e22)
% 94.40/14.53 | | | | | | | | |
% 94.40/14.53 | | | | | | | | | REDUCE: (47), (216) imply:
% 94.40/14.53 | | | | | | | | | (217) ~ (all_14_2 = e22)
% 94.40/14.53 | | | | | | | | |
% 94.40/14.53 | | | | | | | | | BETA: splitting (49) gives:
% 94.40/14.53 | | | | | | | | |
% 94.40/14.53 | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | (218) all_18_8 = e23
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | COMBINE_EQS: (1), (218) imply:
% 94.40/14.53 | | | | | | | | | | (219) all_14_2 = e23
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | SIMP: (219) implies:
% 94.40/14.53 | | | | | | | | | | (220) all_14_2 = e23
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | REDUCE: (34), (220) imply:
% 94.40/14.53 | | | | | | | | | | (221) $false
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | CLOSE: (221) is inconsistent.
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | (222) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | BETA: splitting (222) gives:
% 94.40/14.53 | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | (223) all_18_8 = e21
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | COMBINE_EQS: (1), (223) imply:
% 94.40/14.53 | | | | | | | | | | | (224) all_14_2 = e21
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | SIMP: (224) implies:
% 94.40/14.53 | | | | | | | | | | | (225) all_14_2 = e21
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | REDUCE: (28), (225) imply:
% 94.40/14.53 | | | | | | | | | | | (226) $false
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | (227) all_18_8 = e22 | all_18_8 = e20
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | BETA: splitting (80) gives:
% 94.40/14.53 | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | (228) all_18_10 = e21
% 94.40/14.53 | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | REF_CLOSE: (27), (74), (228) are inconsistent by sub-proof
% 94.40/14.53 | | | | | | | | | | | | #89.
% 94.40/14.53 | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | (229) all_18_10 = e22 | all_18_10 = e20
% 94.40/14.53 | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | BETA: splitting (227) gives:
% 94.40/14.53 | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | (230) all_18_8 = e22
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | COMBINE_EQS: (1), (230) imply:
% 94.40/14.53 | | | | | | | | | | | | | (231) all_14_2 = e22
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | SIMP: (231) implies:
% 94.40/14.53 | | | | | | | | | | | | | (232) all_14_2 = e22
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | REDUCE: (217), (232) imply:
% 94.40/14.53 | | | | | | | | | | | | | (233) $false
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | CLOSE: (233) is inconsistent.
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | Case 2:
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | (234) all_18_8 = e20
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | COMBINE_EQS: (1), (234) imply:
% 94.40/14.53 | | | | | | | | | | | | | (235) all_14_2 = e20
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | SIMP: (235) implies:
% 94.40/14.53 | | | | | | | | | | | | | (236) all_14_2 = e20
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | REDUCE: (42), (236) imply:
% 94.40/14.53 | | | | | | | | | | | | | (237) ~ (all_4_2 = e20)
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | SIMP: (237) implies:
% 94.40/14.53 | | | | | | | | | | | | | (238) ~ (all_4_2 = e20)
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | BETA: splitting (229) gives:
% 94.40/14.53 | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | Case 1:
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | (239) all_18_10 = e22
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | COMBINE_EQS: (27), (239) imply:
% 94.40/14.53 | | | | | | | | | | | | | | (240) all_4_2 = e22
% 94.40/14.53 | | | | | | | | | | | | | |
% 94.40/14.53 | | | | | | | | | | | | | | SIMP: (240) implies:
% 94.61/14.53 | | | | | | | | | | | | | | (241) all_4_2 = e22
% 94.61/14.53 | | | | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | | | | | REDUCE: (59), (241) imply:
% 94.61/14.53 | | | | | | | | | | | | | | (242) $false
% 94.61/14.53 | | | | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 94.61/14.53 | | | | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | | | | Case 2:
% 94.61/14.53 | | | | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | | | | | (243) all_18_10 = e20
% 94.61/14.53 | | | | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | | | | | REF_CLOSE: (27), (238), (243) are inconsistent by sub-proof
% 94.61/14.53 | | | | | | | | | | | | | | #77.
% 94.61/14.53 | | | | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | | | | End of split
% 94.61/14.53 | | | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | | | End of split
% 94.61/14.53 | | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | | End of split
% 94.61/14.53 | | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | | End of split
% 94.61/14.53 | | | | | | | | | |
% 94.61/14.53 | | | | | | | | | End of split
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | End of split
% 94.61/14.53 | | | | | | | |
% 94.61/14.53 | | | | | | | Case 2:
% 94.61/14.53 | | | | | | | |
% 94.61/14.53 | | | | | | | | (244) all_20_8 = e21 | all_20_11 = e21
% 94.61/14.53 | | | | | | | |
% 94.61/14.53 | | | | | | | | BETA: splitting (244) gives:
% 94.61/14.53 | | | | | | | |
% 94.61/14.53 | | | | | | | | Case 1:
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | (245) all_20_8 = e21
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | COMBINE_EQS: (16), (245) imply:
% 94.61/14.53 | | | | | | | | | (246) all_4_2 = e21
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | SIMP: (246) implies:
% 94.61/14.53 | | | | | | | | | (247) all_4_2 = e21
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | REDUCE: (74), (247) imply:
% 94.61/14.53 | | | | | | | | | (248) $false
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | CLOSE: (248) is inconsistent.
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | Case 2:
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | (249) all_20_11 = e21
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | COMBINE_EQS: (38), (249) imply:
% 94.61/14.53 | | | | | | | | | (250) e23 = e21
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | SIMP: (250) implies:
% 94.61/14.53 | | | | | | | | | (251) e23 = e21
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | REDUCE: (18), (251) imply:
% 94.61/14.53 | | | | | | | | | (252) $false
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | | CLOSE: (252) is inconsistent.
% 94.61/14.53 | | | | | | | | |
% 94.61/14.53 | | | | | | | | End of split
% 94.61/14.53 | | | | | | | |
% 94.61/14.53 | | | | | | | End of split
% 94.61/14.53 | | | | | | |
% 94.61/14.53 | | | | | | End of split
% 94.61/14.53 | | | | | |
% 94.61/14.53 | | | | | End of split
% 94.61/14.53 | | | | |
% 94.61/14.53 | | | | Case 2:
% 94.61/14.53 | | | | |
% 94.61/14.53 | | | | | (253) all_20_9 = e21
% 94.61/14.53 | | | | |
% 94.61/14.53 | | | | | COMBINE_EQS: (33), (253) imply:
% 94.61/14.53 | | | | | (254) e22 = e21
% 94.61/14.53 | | | | |
% 94.61/14.53 | | | | | REF_CLOSE: (29), (30), (36), (40), (48), (254) are inconsistent by
% 94.61/14.53 | | | | | sub-proof #41.
% 94.61/14.53 | | | | |
% 94.61/14.53 | | | | End of split
% 94.61/14.53 | | | |
% 94.61/14.53 | | | End of split
% 94.61/14.53 | | |
% 94.61/14.53 | | End of split
% 94.61/14.53 | |
% 94.61/14.53 | End of split
% 94.61/14.53 |
% 94.61/14.53 End of proof
% 94.61/14.53
% 94.61/14.53 Sub-proof #36 shows that the following formulas are inconsistent:
% 94.61/14.53 ----------------------------------------------------------------
% 94.61/14.53 (1) all_24_30 = e23
% 94.61/14.53 (2) (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~ (all_24_23
% 94.61/14.53 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | ( ~ (all_24_28 =
% 94.61/14.53 e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) & ~ (all_24_31 =
% 94.61/14.53 e20) & ((all_24_25 = e20 & all_24_28 = e20) | (all_24_26 = e20 &
% 94.61/14.53 all_24_29 = e20) | (all_24_27 = e20 & all_24_30 = e20)))
% 94.61/14.53 (3) ~ (e23 = e21)
% 94.61/14.53 (4) all_24_28 = e22
% 94.61/14.53 (5) ~ (all_14_7 = e20)
% 94.61/14.53 (6) ~ (e22 = e20)
% 94.61/14.53 (7) all_24_26 = all_14_7
% 94.61/14.53 (8) ~ (e23 = e20)
% 94.61/14.53
% 94.61/14.53 Begin of proof
% 94.61/14.53 |
% 94.61/14.53 | BETA: splitting (2) gives:
% 94.61/14.53 |
% 94.61/14.53 | Case 1:
% 94.61/14.53 | |
% 94.61/14.53 | | (9) all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.61/14.53 | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)
% 94.61/14.53 | |
% 94.61/14.53 | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #37.
% 94.61/14.53 | |
% 94.61/14.53 | Case 2:
% 94.61/14.53 | |
% 94.61/14.53 | | (10) ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) &
% 94.61/14.53 | | ~ (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28 = e20) |
% 94.61/14.53 | | (all_24_26 = e20 & all_24_29 = e20) | (all_24_27 = e20 & all_24_30
% 94.61/14.53 | | = e20))
% 94.61/14.53 | |
% 94.61/14.53 | | ALPHA: (10) implies:
% 94.61/14.53 | | (11) (all_24_25 = e20 & all_24_28 = e20) | (all_24_26 = e20 & all_24_29 =
% 94.61/14.53 | | e20) | (all_24_27 = e20 & all_24_30 = e20)
% 94.61/14.53 | |
% 94.61/14.53 | | BETA: splitting (11) gives:
% 94.61/14.53 | |
% 94.61/14.53 | | Case 1:
% 94.61/14.53 | | |
% 94.61/14.53 | | | (12) all_24_25 = e20 & all_24_28 = e20
% 94.61/14.53 | | |
% 94.61/14.53 | | | ALPHA: (12) implies:
% 94.61/14.53 | | | (13) all_24_28 = e20
% 94.61/14.53 | | |
% 94.61/14.53 | | | COMBINE_EQS: (4), (13) imply:
% 94.61/14.53 | | | (14) e22 = e20
% 94.61/14.53 | | |
% 94.61/14.53 | | | REDUCE: (6), (14) imply:
% 94.61/14.53 | | | (15) $false
% 94.61/14.53 | | |
% 94.61/14.53 | | | CLOSE: (15) is inconsistent.
% 94.61/14.53 | | |
% 94.61/14.53 | | Case 2:
% 94.61/14.53 | | |
% 94.61/14.53 | | | (16) (all_24_26 = e20 & all_24_29 = e20) | (all_24_27 = e20 & all_24_30
% 94.61/14.53 | | | = e20)
% 94.61/14.53 | | |
% 94.61/14.53 | | | BETA: splitting (16) gives:
% 94.61/14.53 | | |
% 94.61/14.53 | | | Case 1:
% 94.61/14.53 | | | |
% 94.61/14.54 | | | | (17) all_24_26 = e20 & all_24_29 = e20
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | ALPHA: (17) implies:
% 94.61/14.54 | | | | (18) all_24_26 = e20
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | COMBINE_EQS: (7), (18) imply:
% 94.61/14.54 | | | | (19) all_14_7 = e20
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | SIMP: (19) implies:
% 94.61/14.54 | | | | (20) all_14_7 = e20
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | REDUCE: (5), (20) imply:
% 94.61/14.54 | | | | (21) $false
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | CLOSE: (21) is inconsistent.
% 94.61/14.54 | | | |
% 94.61/14.54 | | | Case 2:
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | (22) all_24_27 = e20 & all_24_30 = e20
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | ALPHA: (22) implies:
% 94.61/14.54 | | | | (23) all_24_30 = e20
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | COMBINE_EQS: (1), (23) imply:
% 94.61/14.54 | | | | (24) e23 = e20
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | REDUCE: (8), (24) imply:
% 94.61/14.54 | | | | (25) $false
% 94.61/14.54 | | | |
% 94.61/14.54 | | | | CLOSE: (25) is inconsistent.
% 94.61/14.54 | | | |
% 94.61/14.54 | | | End of split
% 94.61/14.54 | | |
% 94.61/14.54 | | End of split
% 94.61/14.54 | |
% 94.61/14.54 | End of split
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #37 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~ (all_24_23
% 94.61/14.54 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)
% 94.61/14.54 (2) all_24_30 = e23
% 94.61/14.54 (3) ~ (e23 = e21)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | ALPHA: (1) implies:
% 94.61/14.54 | (4) all_24_30 = e21
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (2), (4) imply:
% 94.61/14.54 | (5) e23 = e21
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (5) implies:
% 94.61/14.54 | (6) e23 = e21
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (6) imply:
% 94.61/14.54 | (7) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (7) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #38 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_24_29 = e22
% 94.61/14.54 (2) all_24_29 = e20
% 94.61/14.54 (3) ~ (e22 = e20)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.54 | (4) e22 = e20
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (4) implies:
% 94.61/14.54 | (5) e22 = e20
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (5) imply:
% 94.61/14.54 | (6) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (6) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #39 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~ (all_24_17
% 94.61/14.54 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)
% 94.61/14.54 (2) all_24_25 = e20
% 94.61/14.54 (3) all_24_28 = e22
% 94.61/14.54 (4) ~ (e22 = e20)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | ALPHA: (1) implies:
% 94.61/14.54 | (5) all_24_28 = e23
% 94.61/14.54 | (6) all_24_25 = e23
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (2), (6) imply:
% 94.61/14.54 | (7) e23 = e20
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (7) implies:
% 94.61/14.54 | (8) e23 = e20
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (3), (5) imply:
% 94.61/14.54 | (9) e23 = e22
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (8), (9) imply:
% 94.61/14.54 | (10) e22 = e20
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (10) implies:
% 94.61/14.54 | (11) e22 = e20
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (4), (11) imply:
% 94.61/14.54 | (12) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (12) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #40 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_24_23 = e22
% 94.61/14.54 (2) all_20_5 = e22 | all_20_10 = e22
% 94.61/14.54 (3) all_20_10 = e20
% 94.61/14.54 (4) ~ (e22 = e21)
% 94.61/14.54 (5) ~ (e22 = e20)
% 94.61/14.54 (6) all_24_21 = e21
% 94.61/14.54 (7) all_24_21 = all_24_23
% 94.61/14.54 (8) all_20_5 = e22
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (6), (7) imply:
% 94.61/14.54 | (9) all_24_23 = e21
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (9) imply:
% 94.61/14.54 | (10) e22 = e21
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (8), (10) imply:
% 94.61/14.54 | (11) all_20_5 = e21
% 94.61/14.54 |
% 94.61/14.54 | REF_CLOSE: (2), (3), (4), (5), (11) are inconsistent by sub-proof #42.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #41 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) e22 = e21
% 94.61/14.54 (2) all_20_5 = e22 | all_20_10 = e22
% 94.61/14.54 (3) all_20_10 = e20
% 94.61/14.54 (4) ~ (e22 = e21)
% 94.61/14.54 (5) ~ (e22 = e20)
% 94.61/14.54 (6) all_20_5 = e22
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (1) implies:
% 94.61/14.54 | (7) e22 = e21
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (6), (7) imply:
% 94.61/14.54 | (8) all_20_5 = e21
% 94.61/14.54 |
% 94.61/14.54 | REF_CLOSE: (2), (3), (4), (5), (8) are inconsistent by sub-proof #42.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #42 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_20_5 = e21
% 94.61/14.54 (2) all_20_5 = e22 | all_20_10 = e22
% 94.61/14.54 (3) all_20_10 = e20
% 94.61/14.54 (4) ~ (e22 = e21)
% 94.61/14.54 (5) ~ (e22 = e20)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | BETA: splitting (2) gives:
% 94.61/14.54 |
% 94.61/14.54 | Case 1:
% 94.61/14.54 | |
% 94.61/14.54 | | (6) all_20_5 = e22
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (1), (6) imply:
% 94.61/14.54 | | (7) e22 = e21
% 94.61/14.54 | |
% 94.61/14.54 | | REDUCE: (4), (7) imply:
% 94.61/14.54 | | (8) $false
% 94.61/14.54 | |
% 94.61/14.54 | | CLOSE: (8) is inconsistent.
% 94.61/14.54 | |
% 94.61/14.54 | Case 2:
% 94.61/14.54 | |
% 94.61/14.54 | | (9) all_20_10 = e22
% 94.61/14.54 | |
% 94.61/14.54 | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #43.
% 94.61/14.54 | |
% 94.61/14.54 | End of split
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #43 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_20_10 = e22
% 94.61/14.54 (2) all_20_10 = e20
% 94.61/14.54 (3) ~ (e22 = e20)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.54 | (4) e22 = e20
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (4) implies:
% 94.61/14.54 | (5) e22 = e20
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (5) imply:
% 94.61/14.54 | (6) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (6) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #44 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_20_9 = e22
% 94.61/14.54 (2) ~ (e22 = e21)
% 94.61/14.54 (3) e21 = e20
% 94.61/14.54 (4) all_20_4 = e21
% 94.61/14.54 (5) ~ (e21 = e20)
% 94.61/14.54 (6) all_20_4 = e21 | all_20_9 = e21
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (3) implies:
% 94.61/14.54 | (7) e21 = e20
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (4), (7) imply:
% 94.61/14.54 | (8) all_20_4 = e20
% 94.61/14.54 |
% 94.61/14.54 | REF_CLOSE: (1), (2), (5), (6), (8) are inconsistent by sub-proof #53.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #45 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_20_6 = all_14_2
% 94.61/14.54 (2) all_20_6 = e21
% 94.61/14.54 (3) ~ (all_14_2 = e21)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.54 | (4) all_14_2 = e21
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (4) implies:
% 94.61/14.54 | (5) all_14_2 = e21
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (5) imply:
% 94.61/14.54 | (6) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (6) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #46 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_20_0 = e23
% 94.61/14.54 (2) all_20_0 = e21
% 94.61/14.54 (3) ~ (e23 = e21)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.54 | (4) e23 = e21
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (4) implies:
% 94.61/14.54 | (5) e23 = e21
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (5) imply:
% 94.61/14.54 | (6) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (6) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #47 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_20_3 = e23
% 94.61/14.54 (2) all_20_3 = e22
% 94.61/14.54 (3) ~ (e23 = e22)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.54 | (4) e23 = e22
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (4) implies:
% 94.61/14.54 | (5) e23 = e22
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (5) imply:
% 94.61/14.54 | (6) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (6) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #48 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_22_4 = all_12_8
% 94.61/14.54 (2) ~ (e13 = e12)
% 94.61/14.54 (3) all_22_9 = e12
% 94.61/14.54 (4) all_22_4 = e13 | all_22_9 = e13
% 94.61/14.54 (5) ~ (all_12_8 = e13)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | BETA: splitting (4) gives:
% 94.61/14.54 |
% 94.61/14.54 | Case 1:
% 94.61/14.54 | |
% 94.61/14.54 | | (6) all_22_4 = e13
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (1), (6) imply:
% 94.61/14.54 | | (7) all_12_8 = e13
% 94.61/14.54 | |
% 94.61/14.54 | | SIMP: (7) implies:
% 94.61/14.54 | | (8) all_12_8 = e13
% 94.61/14.54 | |
% 94.61/14.54 | | REDUCE: (5), (8) imply:
% 94.61/14.54 | | (9) $false
% 94.61/14.54 | |
% 94.61/14.54 | | CLOSE: (9) is inconsistent.
% 94.61/14.54 | |
% 94.61/14.54 | Case 2:
% 94.61/14.54 | |
% 94.61/14.54 | | (10) all_22_9 = e13
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (3), (10) imply:
% 94.61/14.54 | | (11) e13 = e12
% 94.61/14.54 | |
% 94.61/14.54 | | REDUCE: (2), (11) imply:
% 94.61/14.54 | | (12) $false
% 94.61/14.54 | |
% 94.61/14.54 | | CLOSE: (12) is inconsistent.
% 94.61/14.54 | |
% 94.61/14.54 | End of split
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #49 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_16_2 = e12 | all_16_2 = e10
% 94.61/14.54 (2) all_16_2 = all_12_8
% 94.61/14.54 (3) ~ (all_12_8 = e12)
% 94.61/14.54 (4) ~ (all_12_8 = e10)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | BETA: splitting (1) gives:
% 94.61/14.54 |
% 94.61/14.54 | Case 1:
% 94.61/14.54 | |
% 94.61/14.54 | | (5) all_16_2 = e12
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (2), (5) imply:
% 94.61/14.54 | | (6) all_12_8 = e12
% 94.61/14.54 | |
% 94.61/14.54 | | SIMP: (6) implies:
% 94.61/14.54 | | (7) all_12_8 = e12
% 94.61/14.54 | |
% 94.61/14.54 | | REDUCE: (3), (7) imply:
% 94.61/14.54 | | (8) $false
% 94.61/14.54 | |
% 94.61/14.54 | | CLOSE: (8) is inconsistent.
% 94.61/14.54 | |
% 94.61/14.54 | Case 2:
% 94.61/14.54 | |
% 94.61/14.54 | | (9) all_16_2 = e10
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (2), (9) imply:
% 94.61/14.54 | | (10) all_12_8 = e10
% 94.61/14.54 | |
% 94.61/14.54 | | SIMP: (10) implies:
% 94.61/14.54 | | (11) all_12_8 = e10
% 94.61/14.54 | |
% 94.61/14.54 | | REDUCE: (4), (11) imply:
% 94.61/14.54 | | (12) $false
% 94.61/14.54 | |
% 94.61/14.54 | | CLOSE: (12) is inconsistent.
% 94.61/14.54 | |
% 94.61/14.54 | End of split
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #50 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_16_0 = all_12_0
% 94.61/14.54 (2) all_16_0 = e12
% 94.61/14.54 (3) ~ (all_12_0 = e12)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.54 | (4) all_12_0 = e12
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (4) implies:
% 94.61/14.54 | (5) all_12_0 = e12
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (5) imply:
% 94.61/14.54 | (6) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (6) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #51 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_16_0 = all_12_0
% 94.61/14.54 (2) all_16_0 = e11
% 94.61/14.54 (3) ~ (all_12_0 = e11)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.54 | (4) all_12_0 = e11
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (4) implies:
% 94.61/14.54 | (5) all_12_0 = e11
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (5) imply:
% 94.61/14.54 | (6) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (6) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #52 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) ~ (all_14_8 = e23)
% 94.61/14.54 (2) all_20_4 = all_14_8
% 94.61/14.54 (3) all_20_4 = e23 | all_20_9 = e23
% 94.61/14.54 (4) all_20_9 = e22
% 94.61/14.54 (5) ~ (e23 = e22)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | BETA: splitting (3) gives:
% 94.61/14.54 |
% 94.61/14.54 | Case 1:
% 94.61/14.54 | |
% 94.61/14.54 | | (6) all_20_4 = e23
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (2), (6) imply:
% 94.61/14.54 | | (7) all_14_8 = e23
% 94.61/14.54 | |
% 94.61/14.54 | | SIMP: (7) implies:
% 94.61/14.54 | | (8) all_14_8 = e23
% 94.61/14.54 | |
% 94.61/14.54 | | REDUCE: (1), (8) imply:
% 94.61/14.54 | | (9) $false
% 94.61/14.54 | |
% 94.61/14.54 | | CLOSE: (9) is inconsistent.
% 94.61/14.54 | |
% 94.61/14.54 | Case 2:
% 94.61/14.54 | |
% 94.61/14.54 | | (10) all_20_9 = e23
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (4), (10) imply:
% 94.61/14.54 | | (11) e23 = e22
% 94.61/14.54 | |
% 94.61/14.54 | | REDUCE: (5), (11) imply:
% 94.61/14.54 | | (12) $false
% 94.61/14.54 | |
% 94.61/14.54 | | CLOSE: (12) is inconsistent.
% 94.61/14.54 | |
% 94.61/14.54 | End of split
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #53 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_20_4 = e20
% 94.61/14.54 (2) all_20_9 = e22
% 94.61/14.54 (3) ~ (e22 = e21)
% 94.61/14.54 (4) ~ (e21 = e20)
% 94.61/14.54 (5) all_20_4 = e21 | all_20_9 = e21
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | BETA: splitting (5) gives:
% 94.61/14.54 |
% 94.61/14.54 | Case 1:
% 94.61/14.54 | |
% 94.61/14.54 | | (6) all_20_4 = e21
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (1), (6) imply:
% 94.61/14.54 | | (7) e21 = e20
% 94.61/14.54 | |
% 94.61/14.54 | | REDUCE: (4), (7) imply:
% 94.61/14.54 | | (8) $false
% 94.61/14.54 | |
% 94.61/14.54 | | CLOSE: (8) is inconsistent.
% 94.61/14.54 | |
% 94.61/14.54 | Case 2:
% 94.61/14.54 | |
% 94.61/14.54 | | (9) all_20_9 = e21
% 94.61/14.54 | |
% 94.61/14.54 | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #54.
% 94.61/14.54 | |
% 94.61/14.54 | End of split
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #54 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_20_9 = e22
% 94.61/14.54 (2) all_20_9 = e21
% 94.61/14.54 (3) ~ (e22 = e21)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.54 | (4) e22 = e21
% 94.61/14.54 |
% 94.61/14.54 | SIMP: (4) implies:
% 94.61/14.54 | (5) e22 = e21
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (5) imply:
% 94.61/14.54 | (6) $false
% 94.61/14.54 |
% 94.61/14.54 | CLOSE: (6) is inconsistent.
% 94.61/14.54 |
% 94.61/14.54 End of proof
% 94.61/14.54
% 94.61/14.54 Sub-proof #55 shows that the following formulas are inconsistent:
% 94.61/14.54 ----------------------------------------------------------------
% 94.61/14.54 (1) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 94.61/14.54 (2) all_18_2 = all_14_8
% 94.61/14.54 (3) ~ (all_20_4 = e20)
% 94.61/14.54 (4) all_20_4 = all_14_8
% 94.61/14.54 (5) ~ (all_14_8 = e22)
% 94.61/14.54 (6) ~ (all_14_8 = e21)
% 94.61/14.54
% 94.61/14.54 Begin of proof
% 94.61/14.54 |
% 94.61/14.54 | REDUCE: (3), (4) imply:
% 94.61/14.54 | (7) ~ (all_14_8 = e20)
% 94.61/14.54 |
% 94.61/14.54 | BETA: splitting (1) gives:
% 94.61/14.54 |
% 94.61/14.54 | Case 1:
% 94.61/14.54 | |
% 94.61/14.54 | | (8) all_18_2 = e21
% 94.61/14.54 | |
% 94.61/14.54 | | COMBINE_EQS: (2), (8) imply:
% 94.61/14.55 | | (9) all_14_8 = e21
% 94.61/14.55 | |
% 94.61/14.55 | | SIMP: (9) implies:
% 94.61/14.55 | | (10) all_14_8 = e21
% 94.61/14.55 | |
% 94.61/14.55 | | REDUCE: (6), (10) imply:
% 94.61/14.55 | | (11) $false
% 94.61/14.55 | |
% 94.61/14.55 | | CLOSE: (11) is inconsistent.
% 94.61/14.55 | |
% 94.61/14.55 | Case 2:
% 94.61/14.55 | |
% 94.61/14.55 | | (12) all_18_2 = e22 | all_18_2 = e20
% 94.61/14.55 | |
% 94.61/14.55 | | BETA: splitting (12) gives:
% 94.61/14.55 | |
% 94.61/14.55 | | Case 1:
% 94.61/14.55 | | |
% 94.61/14.55 | | | (13) all_18_2 = e22
% 94.61/14.55 | | |
% 94.61/14.55 | | | REF_CLOSE: (2), (5), (13) are inconsistent by sub-proof #56.
% 94.61/14.55 | | |
% 94.61/14.55 | | Case 2:
% 94.61/14.55 | | |
% 94.61/14.55 | | | (14) all_18_2 = e20
% 94.61/14.55 | | |
% 94.61/14.55 | | | COMBINE_EQS: (2), (14) imply:
% 94.61/14.55 | | | (15) all_14_8 = e20
% 94.61/14.55 | | |
% 94.61/14.55 | | | SIMP: (15) implies:
% 94.61/14.55 | | | (16) all_14_8 = e20
% 94.61/14.55 | | |
% 94.61/14.55 | | | REDUCE: (7), (16) imply:
% 94.61/14.55 | | | (17) $false
% 94.61/14.55 | | |
% 94.61/14.55 | | | CLOSE: (17) is inconsistent.
% 94.61/14.55 | | |
% 94.61/14.55 | | End of split
% 94.61/14.55 | |
% 94.61/14.55 | End of split
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #56 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_18_2 = all_14_8
% 94.61/14.55 (2) all_18_2 = e22
% 94.61/14.55 (3) ~ (all_14_8 = e22)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (4) all_14_8 = e22
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (4) implies:
% 94.61/14.55 | (5) all_14_8 = e22
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (3), (5) imply:
% 94.61/14.55 | (6) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (6) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #57 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_24_26 = all_14_7
% 94.61/14.55 (2) all_24_26 = all_24_29
% 94.61/14.55 (3) all_24_29 = e23
% 94.61/14.55 (4) ~ (all_14_7 = e23)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (5) all_24_29 = all_14_7
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (3), (5) imply:
% 94.61/14.55 | (6) all_14_7 = e23
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (6) implies:
% 94.61/14.55 | (7) all_14_7 = e23
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (4), (7) imply:
% 94.61/14.55 | (8) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (8) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #58 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_24_25 = all_8_1
% 94.61/14.55 (2) all_24_25 = all_24_28
% 94.61/14.55 (3) all_24_28 = e22
% 94.61/14.55 (4) ~ (all_8_1 = e22)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (5) all_24_28 = all_8_1
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (3), (5) imply:
% 94.61/14.55 | (6) all_8_1 = e22
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (4), (6) imply:
% 94.61/14.55 | (7) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (7) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #59 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) e23 = e21
% 94.61/14.55 (2) e23 = e20
% 94.61/14.55 (3) ~ (e21 = e20)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (4) e21 = e20
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (4) implies:
% 94.61/14.55 | (5) e21 = e20
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (3), (5) imply:
% 94.61/14.55 | (6) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (6) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #60 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_24_26 = e22
% 94.61/14.55 (2) all_24_26 = all_24_29
% 94.61/14.55 (3) all_24_29 = e23
% 94.61/14.55 (4) ~ (e23 = e22)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (5) all_24_29 = e22
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (3), (5) imply:
% 94.61/14.55 | (6) e23 = e22
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (4), (6) imply:
% 94.61/14.55 | (7) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (7) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #61 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_24_17 = all_24_18
% 94.61/14.55 (2) all_24_17 = e22
% 94.61/14.55 (3) all_24_18 = e23
% 94.61/14.55 (4) ~ (e23 = e22)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (5) all_24_18 = e22
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (5) implies:
% 94.61/14.55 | (6) all_24_18 = e22
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (3), (6) imply:
% 94.61/14.55 | (7) e23 = e22
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (4), (7) imply:
% 94.61/14.55 | (8) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (8) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #62 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_20_7 = e22
% 94.61/14.55 (2) all_20_7 = e21
% 94.61/14.55 (3) ~ (e22 = e21)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (4) e22 = e21
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (4) implies:
% 94.61/14.55 | (5) e22 = e21
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (3), (5) imply:
% 94.61/14.55 | (6) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (6) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #63 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_26_26 = all_12_7
% 94.61/14.55 (2) all_26_26 = all_26_29
% 94.61/14.55 (3) all_26_29 = e13
% 94.61/14.55 (4) ~ (all_12_7 = e13)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (5) all_26_29 = all_12_7
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (3), (5) imply:
% 94.61/14.55 | (6) all_12_7 = e13
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (6) implies:
% 94.61/14.55 | (7) all_12_7 = e13
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (4), (7) imply:
% 94.61/14.55 | (8) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (8) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #64 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) ~ (e13 = e12)
% 94.61/14.55 (2) all_26_3 = all_12_7
% 94.61/14.55 (3) all_26_3 = e10 & all_26_25 = all_26_28 & ~ (all_26_28 = all_26_31)
% 94.61/14.55 (4) all_22_13 = all_12_7
% 94.61/14.55 (5) all_22_15 = e11
% 94.61/14.55 (6) ~ (e12 = e10)
% 94.61/14.55 (7) ~ (e12 = e11)
% 94.61/14.55 (8) all_22_13 = e12 | all_22_14 = e12 | all_22_15 = e12
% 94.61/14.55 (9) all_22_14 = e13
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | ALPHA: (3) implies:
% 94.61/14.55 | (10) all_26_3 = e10
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (2), (10) imply:
% 94.61/14.55 | (11) all_12_7 = e10
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (4), (11) imply:
% 94.61/14.55 | (12) all_22_13 = e10
% 94.61/14.55 |
% 94.61/14.55 | REF_CLOSE: (1), (5), (6), (7), (8), (9), (12) are inconsistent by sub-proof
% 94.61/14.55 | #65.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #65 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) ~ (e13 = e12)
% 94.61/14.55 (2) all_22_15 = e11
% 94.61/14.55 (3) ~ (e12 = e10)
% 94.61/14.55 (4) all_22_13 = e10
% 94.61/14.55 (5) ~ (e12 = e11)
% 94.61/14.55 (6) all_22_13 = e12 | all_22_14 = e12 | all_22_15 = e12
% 94.61/14.55 (7) all_22_14 = e13
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | BETA: splitting (6) gives:
% 94.61/14.55 |
% 94.61/14.55 | Case 1:
% 94.61/14.55 | |
% 94.61/14.55 | | (8) all_22_13 = e12
% 94.61/14.55 | |
% 94.61/14.55 | | COMBINE_EQS: (4), (8) imply:
% 94.61/14.55 | | (9) e12 = e10
% 94.61/14.55 | |
% 94.61/14.55 | | REDUCE: (3), (9) imply:
% 94.61/14.55 | | (10) $false
% 94.61/14.55 | |
% 94.61/14.55 | | CLOSE: (10) is inconsistent.
% 94.61/14.55 | |
% 94.61/14.55 | Case 2:
% 94.61/14.55 | |
% 94.61/14.55 | | (11) all_22_14 = e12 | all_22_15 = e12
% 94.61/14.55 | |
% 94.61/14.55 | | REF_CLOSE: (1), (2), (5), (7), (11) are inconsistent by sub-proof #66.
% 94.61/14.55 | |
% 94.61/14.55 | End of split
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #66 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) ~ (e13 = e12)
% 94.61/14.55 (2) all_22_15 = e11
% 94.61/14.55 (3) all_22_14 = e12 | all_22_15 = e12
% 94.61/14.55 (4) ~ (e12 = e11)
% 94.61/14.55 (5) all_22_14 = e13
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | BETA: splitting (3) gives:
% 94.61/14.55 |
% 94.61/14.55 | Case 1:
% 94.61/14.55 | |
% 94.61/14.55 | | (6) all_22_14 = e12
% 94.61/14.55 | |
% 94.61/14.55 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #102.
% 94.61/14.55 | |
% 94.61/14.55 | Case 2:
% 94.61/14.55 | |
% 94.61/14.55 | | (7) all_22_15 = e12
% 94.61/14.55 | |
% 94.61/14.55 | | COMBINE_EQS: (2), (7) imply:
% 94.61/14.55 | | (8) e12 = e11
% 94.61/14.55 | |
% 94.61/14.55 | | SIMP: (8) implies:
% 94.61/14.55 | | (9) e12 = e11
% 94.61/14.55 | |
% 94.61/14.55 | | REDUCE: (4), (9) imply:
% 94.61/14.55 | | (10) $false
% 94.61/14.55 | |
% 94.61/14.55 | | CLOSE: (10) is inconsistent.
% 94.61/14.55 | |
% 94.61/14.55 | End of split
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #67 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_20_7 = e20 | all_20_13 = e20
% 94.61/14.55 (2) ~ (e22 = e20)
% 94.61/14.55 (3) ~ (all_14_6 = e20)
% 94.61/14.55 (4) all_20_7 = all_14_6
% 94.61/14.55 (5) all_20_13 = e22
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | BETA: splitting (1) gives:
% 94.61/14.55 |
% 94.61/14.55 | Case 1:
% 94.61/14.55 | |
% 94.61/14.55 | | (6) all_20_7 = e20
% 94.61/14.55 | |
% 94.61/14.55 | | COMBINE_EQS: (4), (6) imply:
% 94.61/14.55 | | (7) all_14_6 = e20
% 94.61/14.55 | |
% 94.61/14.55 | | REDUCE: (3), (7) imply:
% 94.61/14.55 | | (8) $false
% 94.61/14.55 | |
% 94.61/14.55 | | CLOSE: (8) is inconsistent.
% 94.61/14.55 | |
% 94.61/14.55 | Case 2:
% 94.61/14.55 | |
% 94.61/14.55 | | (9) all_20_13 = e20
% 94.61/14.55 | |
% 94.61/14.55 | | COMBINE_EQS: (5), (9) imply:
% 94.61/14.55 | | (10) e22 = e20
% 94.61/14.55 | |
% 94.61/14.55 | | REDUCE: (2), (10) imply:
% 94.61/14.55 | | (11) $false
% 94.61/14.55 | |
% 94.61/14.55 | | CLOSE: (11) is inconsistent.
% 94.61/14.55 | |
% 94.61/14.55 | End of split
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #68 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_20_1 = e23
% 94.61/14.55 (2) all_20_1 = e22
% 94.61/14.55 (3) ~ (e23 = e22)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (4) e23 = e22
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (4) implies:
% 94.61/14.55 | (5) e23 = e22
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (3), (5) imply:
% 94.61/14.55 | (6) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (6) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #69 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_20_10 = e23
% 94.61/14.55 (2) ~ (all_14_14 = e23)
% 94.61/14.55 (3) ~ (e23 = e21)
% 94.61/14.55 (4) all_20_11 = all_14_14
% 94.61/14.55 (5) e23 = e20
% 94.61/14.55 (6) all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 = e23
% 94.61/14.55 (7) all_20_9 = e22
% 94.61/14.55 (8) all_20_15 = e21
% 94.61/14.55 (9) ~ (e23 = e22)
% 94.61/14.55 (10) ~ (e23 = e20)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (5) implies:
% 94.61/14.55 | (11) e23 = e20
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (11) imply:
% 94.61/14.55 | (12) all_20_10 = e20
% 94.61/14.55 |
% 94.61/14.55 | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (12) are inconsistent by
% 94.61/14.55 | sub-proof #108.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #70 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_20_8 = e21
% 94.61/14.55 (2) all_20_14 = e23
% 94.61/14.55 (3) ~ (e22 = e21)
% 94.61/14.55 (4) ~ (e23 = e22)
% 94.61/14.55 (5) all_20_8 = e22 | all_20_14 = e22
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | BETA: splitting (5) gives:
% 94.61/14.55 |
% 94.61/14.55 | Case 1:
% 94.61/14.55 | |
% 94.61/14.55 | | (6) all_20_8 = e22
% 94.61/14.55 | |
% 94.61/14.55 | | COMBINE_EQS: (1), (6) imply:
% 94.61/14.55 | | (7) e22 = e21
% 94.61/14.55 | |
% 94.61/14.55 | | REDUCE: (3), (7) imply:
% 94.61/14.55 | | (8) $false
% 94.61/14.55 | |
% 94.61/14.55 | | CLOSE: (8) is inconsistent.
% 94.61/14.55 | |
% 94.61/14.55 | Case 2:
% 94.61/14.55 | |
% 94.61/14.55 | | (9) all_20_14 = e22
% 94.61/14.55 | |
% 94.61/14.55 | | COMBINE_EQS: (2), (9) imply:
% 94.61/14.55 | | (10) e23 = e22
% 94.61/14.55 | |
% 94.61/14.55 | | SIMP: (10) implies:
% 94.61/14.55 | | (11) e23 = e22
% 94.61/14.55 | |
% 94.61/14.55 | | REDUCE: (4), (11) imply:
% 94.61/14.55 | | (12) $false
% 94.61/14.55 | |
% 94.61/14.55 | | CLOSE: (12) is inconsistent.
% 94.61/14.55 | |
% 94.61/14.55 | End of split
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #71 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_20_4 = e22
% 94.61/14.55 (2) all_20_4 = e20
% 94.61/14.55 (3) ~ (e22 = e20)
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.55 | (4) e22 = e20
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (4) implies:
% 94.61/14.55 | (5) e22 = e20
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (3), (5) imply:
% 94.61/14.55 | (6) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (6) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #72 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~ (all_24_21
% 94.61/14.55 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)
% 94.61/14.55 (2) all_24_18 = e23
% 94.61/14.55
% 94.61/14.55 Begin of proof
% 94.61/14.55 |
% 94.61/14.55 | ALPHA: (1) implies:
% 94.61/14.55 | (3) all_24_18 = e22
% 94.61/14.55 | (4) ~ (e23 = e22)
% 94.61/14.55 |
% 94.61/14.55 | COMBINE_EQS: (2), (3) imply:
% 94.61/14.55 | (5) e23 = e22
% 94.61/14.55 |
% 94.61/14.55 | SIMP: (5) implies:
% 94.61/14.55 | (6) e23 = e22
% 94.61/14.55 |
% 94.61/14.55 | REDUCE: (4), (6) imply:
% 94.61/14.55 | (7) $false
% 94.61/14.55 |
% 94.61/14.55 | CLOSE: (7) is inconsistent.
% 94.61/14.55 |
% 94.61/14.55 End of proof
% 94.61/14.55
% 94.61/14.55 Sub-proof #73 shows that the following formulas are inconsistent:
% 94.61/14.55 ----------------------------------------------------------------
% 94.61/14.55 (1) all_24_20 = all_14_2
% 94.61/14.55 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 94.61/14.55 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 94.61/14.55 (3) all_24_29 = e23
% 94.61/14.55 (4) ~ (all_14_8 = all_4_2)
% 94.61/14.55 (5) ~ (all_14_4 = e22)
% 94.61/14.55 (6) ~ (all_14_1 = e23)
% 94.61/14.55 (7) all_18_1 = all_14_4
% 94.61/14.55 (8) all_20_1 = e21 | all_20_3 = e21 | all_20_7 = e21 | all_20_13 = e21
% 94.61/14.55 (9) all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23
% 94.61/14.55 (10) all_20_3 = all_6_2
% 94.61/14.55 (11) ~ (all_14_1 = all_14_3)
% 94.61/14.55 (12) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 94.61/14.55 (13) all_20_1 = all_14_4
% 94.61/14.55 (14) op2(e23, e21) = all_14_8
% 94.61/14.55 (15) ~ (all_14_6 = all_14_7)
% 94.61/14.55 (16) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 94.61/14.55 (17) all_20_8 = all_4_2
% 94.61/14.55 (18) all_18_12 = all_14_3
% 94.61/14.55 (19) ~ (all_14_4 = all_14_7)
% 94.61/14.55 (20) ~ (e23 = e21)
% 94.61/14.55 (21) all_24_21 = all_14_6
% 94.61/14.55 (22) op2(e23, all_14_2) = all_24_8
% 94.61/14.55 (23) all_24_28 = e22
% 94.61/14.55 (24) (all_24_1 = e22 & all_24_17 = all_24_18 & ~ (all_24_18 = all_24_19)) |
% 94.61/14.55 (all_24_2 = e21 & all_24_20 = all_24_22 & ~ (all_24_22 = all_24_24)) |
% 94.61/14.55 (all_24_3 = e20 & all_24_25 = all_24_28 & ~ (all_24_28 = all_24_31)) |
% 94.61/14.55 (all_24_4 = e23 & all_24_17 = all_24_18 & ~ (all_24_16 = all_24_18)) |
% 94.61/14.55 (all_24_6 = e21 & all_24_21 = all_24_23 & ~ (all_24_23 = all_24_24)) |
% 94.61/14.55 (all_24_7 = e20 & all_24_26 = all_24_29 & ~ (all_24_29 = all_24_31)) |
% 94.61/14.55 (all_24_8 = e23 & all_24_20 = all_24_22 & ~ (all_24_16 = all_24_22)) |
% 94.61/14.55 (all_24_9 = e22 & all_24_21 = all_24_23 & ~ (all_24_19 = all_24_23)) |
% 94.61/14.55 (all_24_11 = e20 & all_24_27 = all_24_30 & ~ (all_24_30 = all_24_31)) |
% 94.61/14.55 (all_24_12 = e23 & all_24_25 = all_24_28 & ~ (all_24_16 = all_24_28)) |
% 94.61/14.55 (all_24_13 = e22 & all_24_26 = all_24_29 & ~ (all_24_19 = all_24_29)) |
% 94.61/14.55 (all_24_14 = e21 & all_24_27 = all_24_30 & ~ (all_24_24 = all_24_30))
% 94.61/14.55 (25) ~ (all_14_8 = e23)
% 94.61/14.55 (26) all_20_4 = all_14_8
% 94.61/14.55 (27) all_20_2 = e22 | all_20_3 = e22 | all_20_5 = e22 | all_20_10 = e22
% 94.61/14.55 (28) all_24_22 = all_14_8
% 94.61/14.55 (29) all_18_10 = all_4_2
% 94.61/14.55 (30) ~ (all_14_4 = all_14_8)
% 94.61/14.55 (31) ~ (all_14_4 = all_6_2)
% 94.61/14.55 (32) all_24_11 = e21
% 94.61/14.55 (33) op2(e21, e20) = e20
% 94.61/14.55 (34) all_24_18 = all_14_4
% 94.61/14.55 (35) ~ (all_14_2 = all_14_3)
% 94.61/14.55 (36) op2(all_6_2, all_6_2) = all_28_56
% 94.61/14.55 (37) op2(e22, all_14_7) = all_24_13
% 94.61/14.55 (38) all_20_14 = e23
% 94.61/14.55 (39) all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 94.61/14.55 (40) all_20_2 = all_14_1
% 94.61/14.55 (41) ~ (all_14_6 = all_6_2)
% 94.61/14.55 (42) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 94.61/14.55 (43) all_18_13 = all_14_7
% 94.61/14.55 (44) ~ (e23 = e22)
% 94.61/14.55 (45) ~ (e22 = e20)
% 94.61/14.55 (46) all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 94.61/14.55 (47) ~ (all_14_4 = all_14_6)
% 94.61/14.55 (48) op2(e21, all_14_9) = all_24_6
% 94.61/14.55 (49) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.55 (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)) |
% 94.61/14.55 (all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.61/14.55 (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)) |
% 94.61/14.55 (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.55 (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)) |
% 94.61/14.55 (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.61/14.55 (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 94.61/14.55 (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.61/14.55 (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21)) |
% 94.61/14.55 (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.61/14.55 (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)) |
% 94.61/14.55 (all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.55 (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)) |
% 94.61/14.55 (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.61/14.55 (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)) |
% 94.61/14.55 (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.61/14.55 (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | ( ~
% 94.61/14.55 (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) & ~
% 94.61/14.55 (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28 = e20) | (all_24_26
% 94.61/14.55 = e20 & all_24_29 = e20) | (all_24_27 = e20 & all_24_30 = e20)))
% 94.61/14.55 (50) ~ (all_14_1 = all_14_9)
% 94.61/14.55 (51) op2(e21, e21) = all_4_2
% 94.61/14.55 (52) ~ (all_4_2 = e20)
% 94.61/14.55 (53) ~ (all_4_2 = e23)
% 94.61/14.55 (54) ~ (all_14_6 = e20)
% 94.61/14.55 (55) all_24_26 = all_14_7
% 94.61/14.55 (56) all_24_17 = all_14_1
% 94.61/14.55 (57) all_20_1 = e20 | all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20
% 94.61/14.55 (58) op2(all_4_2, all_4_2) = all_28_92
% 94.61/14.55 (59) all_20_13 = all_14_7
% 94.61/14.55 (60) op2(e21, all_14_8) = all_24_2
% 94.61/14.55 (61) ~ (e23 = e20)
% 94.61/14.55 (62) all_24_27 = e23
% 94.61/14.55 (63) ~ (all_14_1 = all_6_2)
% 94.61/14.55 (64) all_20_7 = all_14_6
% 94.61/14.55 (65) all_20_11 = e20
% 94.61/14.55 (66) ~ (all_14_7 = all_6_2)
% 94.61/14.55 (67) all_18_4 = all_14_1
% 94.61/14.56 (68) all_20_5 = all_14_9
% 94.61/14.56 (69) ~ (all_14_9 = all_4_2)
% 94.61/14.56 (70) all_24_23 = all_14_9
% 94.61/14.56 (71) all_24_25 = all_14_3
% 94.61/14.56 (72) ~ (all_14_2 = e20)
% 94.61/14.56 (73) all_20_4 = e20 | all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20
% 94.61/14.56 (74) all_24_30 = e20
% 94.61/14.56 (75) op2(e22, e22) = all_6_2
% 94.61/14.56 (76) ~ (all_14_7 = e21)
% 94.61/14.56
% 94.61/14.56 Begin of proof
% 94.61/14.56 |
% 94.61/14.56 | BETA: splitting (9) gives:
% 94.61/14.56 |
% 94.61/14.56 | Case 1:
% 94.61/14.56 | |
% 94.61/14.56 | | (77) all_20_7 = e23
% 94.61/14.56 | |
% 94.61/14.56 | | COMBINE_EQS: (64), (77) imply:
% 94.61/14.56 | | (78) all_14_6 = e23
% 94.61/14.56 | |
% 94.61/14.56 | | SIMP: (78) implies:
% 94.61/14.56 | | (79) all_14_6 = e23
% 94.61/14.56 | |
% 94.61/14.56 | | COMBINE_EQS: (21), (79) imply:
% 94.61/14.56 | | (80) all_24_21 = e23
% 94.61/14.56 | |
% 94.61/14.56 | | REDUCE: (47), (79) imply:
% 94.61/14.56 | | (81) ~ (all_14_4 = e23)
% 94.61/14.56 | |
% 94.61/14.56 | | REDUCE: (15), (79) imply:
% 94.61/14.56 | | (82) ~ (all_14_7 = e23)
% 94.61/14.56 | |
% 94.61/14.56 | | SIMP: (82) implies:
% 94.61/14.56 | | (83) ~ (all_14_7 = e23)
% 94.61/14.56 | |
% 94.61/14.56 | | REDUCE: (41), (79) imply:
% 94.61/14.56 | | (84) ~ (all_6_2 = e23)
% 94.61/14.56 | |
% 94.61/14.56 | | SIMP: (84) implies:
% 94.61/14.56 | | (85) ~ (all_6_2 = e23)
% 94.61/14.56 | |
% 94.61/14.56 | | BETA: splitting (49) gives:
% 94.61/14.56 | |
% 94.61/14.56 | | Case 1:
% 94.61/14.56 | | |
% 94.61/14.56 | | | (86) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.56 | | | (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)) |
% 94.61/14.56 | | | (all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.61/14.56 | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)) |
% 94.61/14.56 | | | (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.56 | | | (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)) |
% 94.61/14.56 | | | (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.61/14.56 | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 94.61/14.56 | | | (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.61/14.56 | | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21))
% 94.61/14.56 | | |
% 94.61/14.56 | | | BETA: splitting (86) gives:
% 94.61/14.56 | | |
% 94.61/14.56 | | | Case 1:
% 94.61/14.56 | | | |
% 94.61/14.56 | | | | (87) (all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.56 | | | | (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)) |
% 94.61/14.56 | | | | (all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.61/14.56 | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22))
% 94.61/14.56 | | | |
% 94.61/14.56 | | | | BETA: splitting (87) gives:
% 94.61/14.56 | | | |
% 94.61/14.56 | | | | Case 1:
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | (88) all_24_17 = e23 & all_24_18 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.56 | | | | | (all_24_20 = e21) & ~ (all_24_25 = e20) & ~ (e23 = e22)
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | ALPHA: (88) implies:
% 94.61/14.56 | | | | | (89) all_24_18 = e23
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | COMBINE_EQS: (34), (89) imply:
% 94.61/14.56 | | | | | (90) all_14_4 = e23
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | SIMP: (90) implies:
% 94.61/14.56 | | | | | (91) all_14_4 = e23
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | REDUCE: (81), (91) imply:
% 94.61/14.56 | | | | | (92) $false
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | CLOSE: (92) is inconsistent.
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | Case 2:
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | (93) all_24_17 = e22 & all_24_18 = e22 & ~ (all_24_19 = e22) & ~
% 94.61/14.56 | | | | | (all_24_21 = e21) & ~ (all_24_26 = e20) & ~ (e23 = e22)
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | ALPHA: (93) implies:
% 94.61/14.56 | | | | | (94) all_24_18 = e22
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | COMBINE_EQS: (34), (94) imply:
% 94.61/14.56 | | | | | (95) all_14_4 = e22
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | SIMP: (95) implies:
% 94.61/14.56 | | | | | (96) all_14_4 = e22
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | REDUCE: (5), (96) imply:
% 94.61/14.56 | | | | | (97) $false
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | CLOSE: (97) is inconsistent.
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | End of split
% 94.61/14.56 | | | |
% 94.61/14.56 | | | Case 2:
% 94.61/14.56 | | | |
% 94.61/14.56 | | | | (98) (all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.56 | | | | (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)) |
% 94.61/14.56 | | | | (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) & ~
% 94.61/14.56 | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)) |
% 94.61/14.56 | | | | (all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) & ~
% 94.61/14.56 | | | | (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21))
% 94.61/14.56 | | | |
% 94.61/14.56 | | | | BETA: splitting (98) gives:
% 94.61/14.56 | | | |
% 94.61/14.56 | | | | Case 1:
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | (99) all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.56 | | | | | (all_24_17 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | REF_CLOSE: (25), (28), (99) are inconsistent by sub-proof #91.
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | Case 2:
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | (100) (all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) &
% 94.61/14.56 | | | | | ~ (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 =
% 94.61/14.56 | | | | | e21)) | (all_24_21 = e22 & all_24_23 = e22 & ~
% 94.61/14.56 | | | | | (all_24_18 = e23) & ~ (all_24_19 = e22) & ~ (all_24_26 =
% 94.61/14.56 | | | | | e20) & ~ (e22 = e21))
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | BETA: splitting (100) gives:
% 94.61/14.56 | | | | |
% 94.61/14.56 | | | | | Case 1:
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | (101) all_24_20 = e21 & all_24_22 = e21 & ~ (all_24_23 = e22) &
% 94.61/14.56 | | | | | | ~ (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e23 = e21)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | ALPHA: (101) implies:
% 94.61/14.56 | | | | | | (102) all_24_22 = e21
% 94.61/14.56 | | | | | | (103) all_24_20 = e21
% 94.61/14.56 | | | | | | (104) ~ (all_24_27 = e20)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | COMBINE_EQS: (1), (103) imply:
% 94.61/14.56 | | | | | | (105) all_14_2 = e21
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | COMBINE_EQS: (28), (102) imply:
% 94.61/14.56 | | | | | | (106) all_14_8 = e21
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | SIMP: (106) implies:
% 94.61/14.56 | | | | | | (107) all_14_8 = e21
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | COMBINE_EQS: (26), (107) imply:
% 94.61/14.56 | | | | | | (108) all_20_4 = e21
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | REDUCE: (35), (105) imply:
% 94.61/14.56 | | | | | | (109) ~ (all_14_3 = e21)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | SIMP: (109) implies:
% 94.61/14.56 | | | | | | (110) ~ (all_14_3 = e21)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | REDUCE: (72), (105) imply:
% 94.61/14.56 | | | | | | (111) ~ (e21 = e20)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | REDUCE: (30), (107) imply:
% 94.61/14.56 | | | | | | (112) ~ (all_14_4 = e21)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | REDUCE: (4), (107) imply:
% 94.61/14.56 | | | | | | (113) ~ (all_4_2 = e21)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | SIMP: (113) implies:
% 94.61/14.56 | | | | | | (114) ~ (all_4_2 = e21)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | REDUCE: (25), (107) imply:
% 94.61/14.56 | | | | | | (115) ~ (e23 = e21)
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | REDUCE: (22), (105) imply:
% 94.61/14.56 | | | | | | (116) op2(e23, e21) = all_24_8
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | REDUCE: (14), (107) imply:
% 94.61/14.56 | | | | | | (117) op2(e23, e21) = e21
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | REDUCE: (60), (107) imply:
% 94.61/14.56 | | | | | | (118) op2(e21, e21) = all_24_2
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | BETA: splitting (73) gives:
% 94.61/14.56 | | | | | |
% 94.61/14.56 | | | | | | Case 1:
% 94.61/14.56 | | | | | | |
% 94.61/14.56 | | | | | | | (119) all_20_4 = e20
% 94.61/14.56 | | | | | | |
% 94.61/14.56 | | | | | | | REF_CLOSE: (108), (111), (119) are inconsistent by sub-proof #90.
% 94.61/14.56 | | | | | | |
% 94.61/14.56 | | | | | | Case 2:
% 94.61/14.56 | | | | | | |
% 94.61/14.56 | | | | | | | (120) all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20
% 94.61/14.56 | | | | | | |
% 94.61/14.56 | | | | | | | BETA: splitting (39) gives:
% 94.61/14.56 | | | | | | |
% 94.61/14.56 | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | |
% 94.61/14.56 | | | | | | | | (121) all_18_10 = e21
% 94.61/14.56 | | | | | | | |
% 94.61/14.56 | | | | | | | | REF_CLOSE: (29), (114), (121) are inconsistent by sub-proof #89.
% 94.61/14.56 | | | | | | | |
% 94.61/14.56 | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | |
% 94.61/14.56 | | | | | | | | (122) all_18_10 = e22 | all_18_10 = e20
% 94.61/14.56 | | | | | | | |
% 94.61/14.56 | | | | | | | | BETA: splitting (42) gives:
% 94.61/14.56 | | | | | | | |
% 94.61/14.56 | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | |
% 94.61/14.56 | | | | | | | | | (123) all_18_1 = e23
% 94.61/14.56 | | | | | | | | |
% 94.61/14.56 | | | | | | | | | REF_CLOSE: (7), (81), (123) are inconsistent by sub-proof #88.
% 94.61/14.56 | | | | | | | | |
% 94.61/14.56 | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | |
% 94.61/14.56 | | | | | | | | | (124) ~ (all_18_1 = e23)
% 94.61/14.56 | | | | | | | | | (125) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 94.61/14.56 | | | | | | | | |
% 94.61/14.56 | | | | | | | | | BETA: splitting (120) gives:
% 94.61/14.56 | | | | | | | | |
% 94.61/14.56 | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | (126) all_20_5 = e20
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | COMBINE_EQS: (68), (126) imply:
% 94.61/14.56 | | | | | | | | | | (127) all_14_9 = e20
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | SIMP: (127) implies:
% 94.61/14.56 | | | | | | | | | | (128) all_14_9 = e20
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | COMBINE_EQS: (70), (128) imply:
% 94.61/14.56 | | | | | | | | | | (129) all_24_23 = e20
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | REDUCE: (50), (128) imply:
% 94.61/14.56 | | | | | | | | | | (130) ~ (all_14_1 = e20)
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | REDUCE: (69), (128) imply:
% 94.61/14.56 | | | | | | | | | | (131) ~ (all_4_2 = e20)
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | REDUCE: (48), (128) imply:
% 94.61/14.56 | | | | | | | | | | (132) op2(e21, e20) = all_24_6
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | BETA: splitting (8) gives:
% 94.61/14.56 | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | (133) all_20_1 = e21
% 94.61/14.56 | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | REF_CLOSE: (13), (112), (133) are inconsistent by sub-proof
% 94.61/14.56 | | | | | | | | | | | #87.
% 94.61/14.56 | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | (134) all_20_3 = e21 | all_20_7 = e21 | all_20_13 = e21
% 94.61/14.56 | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | BETA: splitting (134) gives:
% 94.61/14.56 | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | (135) all_20_3 = e21
% 94.61/14.56 | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | COMBINE_EQS: (10), (135) imply:
% 94.61/14.56 | | | | | | | | | | | | (136) all_6_2 = e21
% 94.61/14.56 | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | SIMP: (136) implies:
% 94.61/14.56 | | | | | | | | | | | | (137) all_6_2 = e21
% 94.61/14.56 | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | REDUCE: (63), (137) imply:
% 94.61/14.56 | | | | | | | | | | | | (138) ~ (all_14_1 = e21)
% 94.61/14.56 | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | REDUCE: (36), (137) imply:
% 94.61/14.56 | | | | | | | | | | | | (139) op2(e21, e21) = all_28_56
% 94.61/14.56 | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | REDUCE: (75), (137) imply:
% 94.61/14.56 | | | | | | | | | | | | (140) op2(e22, e22) = e21
% 94.61/14.56 | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | BETA: splitting (16) gives:
% 94.61/14.56 | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | (141) all_18_4 = e23
% 94.61/14.56 | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | REF_CLOSE: (6), (67), (141) are inconsistent by sub-proof
% 94.61/14.56 | | | | | | | | | | | | | #86.
% 94.61/14.56 | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | (142) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 94.61/14.56 | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | BETA: splitting (27) gives:
% 94.61/14.56 | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | (143) all_20_2 = e22
% 94.61/14.56 | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | COMBINE_EQS: (40), (143) imply:
% 94.61/14.56 | | | | | | | | | | | | | | (144) all_14_1 = e22
% 94.61/14.56 | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | SIMP: (144) implies:
% 94.61/14.56 | | | | | | | | | | | | | | (145) all_14_1 = e22
% 94.61/14.56 | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | COMBINE_EQS: (56), (145) imply:
% 94.61/14.56 | | | | | | | | | | | | | | (146) all_24_17 = e22
% 94.61/14.56 | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | REDUCE: (11), (145) imply:
% 94.61/14.56 | | | | | | | | | | | | | | (147) ~ (all_14_3 = e22)
% 94.61/14.56 | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | SIMP: (147) implies:
% 94.61/14.56 | | | | | | | | | | | | | | (148) ~ (all_14_3 = e22)
% 94.61/14.56 | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 94.61/14.56 | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | (149) all_18_12 = e21
% 94.61/14.56 | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | REF_CLOSE: (18), (110), (149) are inconsistent by sub-proof
% 94.61/14.56 | | | | | | | | | | | | | | | #85.
% 94.61/14.56 | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | (150) all_18_12 = e22 | all_18_12 = e20
% 94.61/14.56 | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 94.61/14.56 | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | (151) all_18_10 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (151) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | (152) all_4_2 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | SIMP: (152) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | (153) all_4_2 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | REDUCE: (58), (153) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | (154) op2(e22, e22) = all_28_92
% 94.61/14.56 | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | REDUCE: (51), (153) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | (155) op2(e21, e21) = e22
% 94.61/14.56 | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | (156) all_18_12 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (148), (156) are inconsistent by sub-proof
% 94.61/14.56 | | | | | | | | | | | | | | | | | #84.
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | (157) all_18_12 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (157) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | (158) all_14_3 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | SIMP: (158) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | (159) all_14_3 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (159) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | (160) all_24_25 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | (161) all_18_13 = e21
% 94.61/14.56 | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (76), (161) are inconsistent by sub-proof
% 94.61/14.56 | | | | | | | | | | | | | | | | | | #83.
% 94.61/14.56 | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | (162) ~ (all_18_13 = e21)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | (163) all_18_13 = e22 | all_18_13 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | (164) all_20_1 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (164) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | (165) all_14_4 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | SIMP: (165) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | (166) all_14_4 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (166) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | (167) all_24_18 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | REDUCE: (19), (166) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | (168) ~ (all_14_7 = e20)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | SIMP: (168) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | (169) ~ (all_14_7 = e20)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | REDUCE: (81), (166) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | (170) ~ (e23 = e20)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (166) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | (171) ~ (e21 = e20)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (172) all_18_13 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (172) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (173) all_14_7 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | SIMP: (173) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (174) all_14_7 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (174) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (175) all_24_26 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (174) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (176) ~ (e23 = e22)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (174) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (177) ~ (e22 = e21)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (174) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (178) op2(e22, e22) = all_24_13
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with e20, all_24_6, e20, e21,
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | simplifying with (33), (132) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (179) all_24_6 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_24_2, all_28_56, e21,
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | e21, simplifying with (118), (139) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (180) all_28_56 = all_24_2
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with e22, all_28_56, e21, e21,
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | simplifying with (139), (155) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (181) all_28_56 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_24_13, all_28_92, e22,
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | e22, simplifying with (154), (178) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (182) all_28_92 = all_24_13
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with e21, all_28_92, e22, e22,
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | simplifying with (140), (154) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (183) all_28_92 = e21
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with e21, all_24_8, e21, e23,
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | simplifying with (116), (117) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (184) all_24_8 = e21
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (181) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (185) all_24_2 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (186) all_24_2 = e22
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (182), (183) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (187) all_24_13 = e21
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | SIMP: (187) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | (188) all_24_13 = e21
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | (189) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31)) |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | (190) (all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)) | (all_24_2 = e21 &
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | all_24_20 = all_24_22 & ~ (all_24_22 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_3 = e20 & all_24_25 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | all_24_28 & ~ (all_24_28 = all_24_31))
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (191) all_24_1 = e22 & all_24_17 = all_24_18 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (all_24_18 = all_24_19)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (192) all_24_17 = all_24_18
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (146), (167), (192) are inconsistent by
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (193) (all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = all_24_24)) | (all_24_3 = e20 &
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | all_24_25 = all_24_28 & ~ (all_24_28 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (194) all_24_2 = e21 & all_24_20 = all_24_22 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_22 = all_24_24)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (195) all_24_2 = e21
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (195) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (196) e22 = e21
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (196) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (197) $false
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (198) all_24_3 = e20 & all_24_25 = all_24_28 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = all_24_31)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (199) all_24_25 = all_24_28
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (199) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (200) all_24_28 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (45), (200) are inconsistent by sub-proof
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | #81.
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | (201) (all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)) | (all_24_6 = e21 &
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_23 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | all_24_24)) | (all_24_7 = e20 & all_24_26 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | all_24_29 & ~ (all_24_29 = all_24_31))
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (202) all_24_4 = e23 & all_24_17 = all_24_18 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_18)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (203) all_24_17 = all_24_18
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (146), (167), (203) are inconsistent by
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (204) (all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = all_24_24)) | (all_24_7 = e20 &
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_29 =
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (205) all_24_6 = e21 & all_24_21 = all_24_23 & ~
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_23 = all_24_24)
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (206) all_24_6 = e21
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (206) imply:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (207) e21 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (207) implies:
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | | (208) e21 = e20
% 94.61/14.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (208) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (209) $false
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (210) all_24_7 = e20 & all_24_26 = all_24_29 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = all_24_31)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (211) all_24_26 = all_24_29
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (175), (211) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (212) all_24_29 = e22
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (44), (212) are inconsistent by sub-proof
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | #80.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | (213) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31)) |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | (214) (all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)) | (all_24_9 = e22 &
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | all_24_21 = all_24_23 & ~ (all_24_19 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | all_24_23)) | (all_24_11 = e20 & all_24_27 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_30 = all_24_31))
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (215) all_24_8 = e23 & all_24_20 = all_24_22 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_22)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (216) all_24_8 = e23
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (184), (216) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (217) e23 = e21
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (217) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (218) e23 = e21
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (218) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (219) $false
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (220) (all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_23)) | (all_24_11 = e20 &
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_30 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | all_24_31))
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (221) all_24_9 = e22 & all_24_21 = all_24_23 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_23)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (222) all_24_21 = all_24_23
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (222) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (223) all_24_23 = e23
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (223) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (224) e23 = e20
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (225) e23 = e20
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (225) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (226) $false
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (227) all_24_11 = e20 & all_24_27 = all_24_30 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = all_24_31)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (111), (227) are inconsistent by sub-proof
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | #79.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | (228) (all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)) | (all_24_13 = e22 &
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | all_24_26 = all_24_29 & ~ (all_24_19 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | all_24_29)) | (all_24_14 = e21 & all_24_27 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | all_24_30 & ~ (all_24_24 = all_24_30))
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (229) all_24_12 = e23 & all_24_25 = all_24_28 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (all_24_16 = all_24_28)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (230) all_24_25 = all_24_28
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (230) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (231) all_24_28 = e20
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (45), (231) are inconsistent by sub-proof
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | #81.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (232) (all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_29)) | (all_24_14 = e21 &
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = all_24_30 & ~ (all_24_24 =
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | all_24_30))
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (233) all_24_13 = e22 & all_24_26 = all_24_29 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = all_24_29)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (234) all_24_13 = e22
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (234) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (235) e22 = e21
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (235) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (236) e22 = e21
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (236) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (237) $false
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (237) is inconsistent.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (238) all_24_14 = e21 & all_24_27 = all_24_30 & ~
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (all_24_24 = all_24_30)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (239) all_24_27 = all_24_30
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (239) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (240) all_24_30 = e23
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (240) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (241) e23 = e20
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (241) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | (242) $false
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | (243) all_18_13 = e20
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (243) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | (244) all_14_7 = e20
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | SIMP: (244) implies:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | (245) all_14_7 = e20
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (245) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | (246) $false
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | (247) ~ (all_20_1 = e20)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | REDUCE: (13), (247) imply:
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | (248) ~ (all_14_4 = e20)
% 94.61/14.57 | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (112), (125), (248) are inconsistent by
% 94.61/14.57 | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 94.61/14.57 | | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | (249) all_18_10 = e20
% 94.61/14.57 | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | | REF_CLOSE: (29), (52), (249) are inconsistent by sub-proof
% 94.61/14.57 | | | | | | | | | | | | | | | | #77.
% 94.61/14.57 | | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | (250) ~ (all_20_2 = e22)
% 94.61/14.57 | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | REDUCE: (40), (250) imply:
% 94.61/14.57 | | | | | | | | | | | | | | (251) ~ (all_14_1 = e22)
% 94.61/14.57 | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | | REF_CLOSE: (67), (130), (138), (142), (251) are inconsistent
% 94.61/14.57 | | | | | | | | | | | | | | by sub-proof #76.
% 94.61/14.57 | | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | (252) all_20_7 = e21 | all_20_13 = e21
% 94.61/14.57 | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | BETA: splitting (252) gives:
% 94.61/14.57 | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | Case 1:
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | (253) all_20_7 = e21
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | COMBINE_EQS: (77), (253) imply:
% 94.61/14.57 | | | | | | | | | | | | | (254) e23 = e21
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | SIMP: (254) implies:
% 94.61/14.57 | | | | | | | | | | | | | (255) e23 = e21
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | REDUCE: (20), (255) imply:
% 94.61/14.57 | | | | | | | | | | | | | (256) $false
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | CLOSE: (256) is inconsistent.
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | (257) all_20_13 = e21
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | COMBINE_EQS: (59), (257) imply:
% 94.61/14.57 | | | | | | | | | | | | | (258) all_14_7 = e21
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | SIMP: (258) implies:
% 94.61/14.57 | | | | | | | | | | | | | (259) all_14_7 = e21
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | REDUCE: (76), (259) imply:
% 94.61/14.57 | | | | | | | | | | | | | (260) $false
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 94.61/14.57 | | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | (261) all_20_8 = e20 | all_20_14 = e20
% 94.61/14.57 | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | BETA: splitting (261) gives:
% 94.61/14.57 | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | Case 1:
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | (262) all_20_8 = e20
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | COMBINE_EQS: (17), (262) imply:
% 94.61/14.57 | | | | | | | | | | | (263) all_4_2 = e20
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | SIMP: (263) implies:
% 94.61/14.57 | | | | | | | | | | | (264) all_4_2 = e20
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | REDUCE: (52), (264) imply:
% 94.61/14.57 | | | | | | | | | | | (265) $false
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | Case 2:
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | (266) all_20_14 = e20
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | | REF_CLOSE: (38), (61), (266) are inconsistent by sub-proof
% 94.61/14.57 | | | | | | | | | | | #75.
% 94.61/14.57 | | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | | |
% 94.61/14.57 | | | | | | | | | End of split
% 94.61/14.57 | | | | | | | | |
% 94.61/14.57 | | | | | | | | End of split
% 94.61/14.57 | | | | | | | |
% 94.61/14.57 | | | | | | | End of split
% 94.61/14.57 | | | | | | |
% 94.61/14.57 | | | | | | End of split
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | Case 2:
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | (267) all_24_21 = e22 & all_24_23 = e22 & ~ (all_24_18 = e23) &
% 94.61/14.57 | | | | | | ~ (all_24_19 = e22) & ~ (all_24_26 = e20) & ~ (e22 = e21)
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | ALPHA: (267) implies:
% 94.61/14.57 | | | | | | (268) all_24_21 = e22
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | COMBINE_EQS: (80), (268) imply:
% 94.61/14.57 | | | | | | (269) e23 = e22
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | REDUCE: (44), (269) imply:
% 94.61/14.57 | | | | | | (270) $false
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | CLOSE: (270) is inconsistent.
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | End of split
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | End of split
% 94.61/14.57 | | | |
% 94.61/14.57 | | | End of split
% 94.61/14.57 | | |
% 94.61/14.57 | | Case 2:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (271) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.61/14.57 | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)) |
% 94.61/14.57 | | | (all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.57 | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)) |
% 94.61/14.57 | | | (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.61/14.57 | | | (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)) |
% 94.61/14.57 | | | (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.61/14.57 | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) | (
% 94.61/14.57 | | | ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 =
% 94.61/14.57 | | | e21) & ~ (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28 =
% 94.61/14.57 | | | e20) | (all_24_26 = e20 & all_24_29 = e20) | (all_24_27 =
% 94.61/14.57 | | | e20 & all_24_30 = e20)))
% 94.61/14.57 | | |
% 94.61/14.57 | | | BETA: splitting (271) gives:
% 94.61/14.57 | | |
% 94.61/14.57 | | | Case 1:
% 94.61/14.57 | | | |
% 94.61/14.57 | | | | (272) (all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.61/14.57 | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)) |
% 94.61/14.57 | | | | (all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.57 | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20))
% 94.61/14.57 | | | |
% 94.61/14.57 | | | | BETA: splitting (272) gives:
% 94.61/14.57 | | | |
% 94.61/14.57 | | | | Case 1:
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | (273) all_24_21 = e21 & all_24_23 = e21 & ~ (all_24_22 = e23) & ~
% 94.61/14.57 | | | | | (all_24_24 = e21) & ~ (all_24_27 = e20) & ~ (e22 = e21)
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | ALPHA: (273) implies:
% 94.61/14.57 | | | | | (274) all_24_21 = e21
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | COMBINE_EQS: (80), (274) imply:
% 94.61/14.57 | | | | | (275) e23 = e21
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | REDUCE: (20), (275) imply:
% 94.61/14.57 | | | | | (276) $false
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | CLOSE: (276) is inconsistent.
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | Case 2:
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | (277) all_24_25 = e23 & all_24_28 = e23 & ~ (all_24_16 = e23) & ~
% 94.61/14.57 | | | | | (all_24_17 = e22) & ~ (all_24_20 = e21) & ~ (e23 = e20)
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | ALPHA: (277) implies:
% 94.61/14.57 | | | | | (278) all_24_28 = e23
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | COMBINE_EQS: (23), (278) imply:
% 94.61/14.57 | | | | | (279) e23 = e22
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | REDUCE: (44), (279) imply:
% 94.61/14.57 | | | | | (280) $false
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | CLOSE: (280) is inconsistent.
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | End of split
% 94.61/14.57 | | | |
% 94.61/14.57 | | | Case 2:
% 94.61/14.57 | | | |
% 94.61/14.57 | | | | (281) (all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.61/14.57 | | | | (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)) |
% 94.61/14.57 | | | | (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) & ~
% 94.61/14.57 | | | | (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)) |
% 94.61/14.57 | | | | ( ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 =
% 94.61/14.57 | | | | e21) & ~ (all_24_31 = e20) & ((all_24_25 = e20 & all_24_28
% 94.61/14.57 | | | | = e20) | (all_24_26 = e20 & all_24_29 = e20) | (all_24_27
% 94.61/14.57 | | | | = e20 & all_24_30 = e20)))
% 94.61/14.57 | | | |
% 94.61/14.57 | | | | BETA: splitting (281) gives:
% 94.61/14.57 | | | |
% 94.61/14.57 | | | | Case 1:
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | (282) all_24_26 = e22 & all_24_29 = e22 & ~ (all_24_18 = e23) & ~
% 94.61/14.57 | | | | | (all_24_19 = e22) & ~ (all_24_21 = e21) & ~ (e22 = e20)
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | ALPHA: (282) implies:
% 94.61/14.57 | | | | | (283) all_24_29 = e22
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | REF_CLOSE: (3), (44), (283) are inconsistent by sub-proof #80.
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | Case 2:
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | (284) (all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) &
% 94.61/14.57 | | | | | ~ (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 =
% 94.61/14.57 | | | | | e20)) | ( ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~
% 94.61/14.57 | | | | | (all_24_30 = e21) & ~ (all_24_31 = e20) & ((all_24_25 =
% 94.61/14.57 | | | | | e20 & all_24_28 = e20) | (all_24_26 = e20 & all_24_29 =
% 94.61/14.57 | | | | | e20) | (all_24_27 = e20 & all_24_30 = e20)))
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | BETA: splitting (284) gives:
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | | Case 1:
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | (285) all_24_27 = e21 & all_24_30 = e21 & ~ (all_24_22 = e23) &
% 94.61/14.57 | | | | | | ~ (all_24_23 = e22) & ~ (all_24_24 = e21) & ~ (e21 = e20)
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | ALPHA: (285) implies:
% 94.61/14.57 | | | | | | (286) all_24_30 = e21
% 94.61/14.57 | | | | | | (287) ~ (e21 = e20)
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | COMBINE_EQS: (74), (286) imply:
% 94.61/14.57 | | | | | | (288) e21 = e20
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | REDUCE: (287), (288) imply:
% 94.61/14.57 | | | | | | (289) $false
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | CLOSE: (289) is inconsistent.
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | Case 2:
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | (290) ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30
% 94.61/14.57 | | | | | | = e21) & ~ (all_24_31 = e20) & ((all_24_25 = e20 &
% 94.61/14.57 | | | | | | all_24_28 = e20) | (all_24_26 = e20 & all_24_29 = e20)
% 94.61/14.57 | | | | | | | (all_24_27 = e20 & all_24_30 = e20))
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | ALPHA: (290) implies:
% 94.61/14.57 | | | | | | (291) (all_24_25 = e20 & all_24_28 = e20) | (all_24_26 = e20 &
% 94.61/14.57 | | | | | | all_24_29 = e20) | (all_24_27 = e20 & all_24_30 = e20)
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | | REF_CLOSE: (3), (23), (45), (61), (62), (291) are inconsistent by
% 94.61/14.57 | | | | | | sub-proof #74.
% 94.61/14.57 | | | | | |
% 94.61/14.57 | | | | | End of split
% 94.61/14.57 | | | | |
% 94.61/14.57 | | | | End of split
% 94.61/14.57 | | | |
% 94.61/14.57 | | | End of split
% 94.61/14.57 | | |
% 94.61/14.57 | | End of split
% 94.61/14.57 | |
% 94.61/14.57 | Case 2:
% 94.61/14.57 | |
% 94.61/14.57 | | (292) all_20_8 = e23 | all_20_11 = e23
% 94.61/14.57 | |
% 94.61/14.57 | | BETA: splitting (292) gives:
% 94.61/14.57 | |
% 94.61/14.57 | | Case 1:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (293) all_20_8 = e23
% 94.61/14.57 | | |
% 94.61/14.57 | | | COMBINE_EQS: (17), (293) imply:
% 94.61/14.57 | | | (294) all_4_2 = e23
% 94.61/14.57 | | |
% 94.61/14.57 | | | SIMP: (294) implies:
% 94.61/14.57 | | | (295) all_4_2 = e23
% 94.61/14.57 | | |
% 94.61/14.57 | | | REDUCE: (53), (295) imply:
% 94.61/14.57 | | | (296) $false
% 94.61/14.57 | | |
% 94.61/14.57 | | | CLOSE: (296) is inconsistent.
% 94.61/14.57 | | |
% 94.61/14.57 | | Case 2:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (297) all_20_11 = e23
% 94.61/14.57 | | |
% 94.61/14.57 | | | COMBINE_EQS: (65), (297) imply:
% 94.61/14.57 | | | (298) e23 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | REDUCE: (61), (298) imply:
% 94.61/14.57 | | | (299) $false
% 94.61/14.57 | | |
% 94.61/14.57 | | | CLOSE: (299) is inconsistent.
% 94.61/14.57 | | |
% 94.61/14.57 | | End of split
% 94.61/14.57 | |
% 94.61/14.57 | End of split
% 94.61/14.57 |
% 94.61/14.57 End of proof
% 94.61/14.57
% 94.61/14.57 Sub-proof #74 shows that the following formulas are inconsistent:
% 94.61/14.57 ----------------------------------------------------------------
% 94.61/14.57 (1) all_24_29 = e23
% 94.61/14.57 (2) all_24_28 = e22
% 94.61/14.57 (3) (all_24_25 = e20 & all_24_28 = e20) | (all_24_26 = e20 & all_24_29 = e20)
% 94.61/14.57 | (all_24_27 = e20 & all_24_30 = e20)
% 94.61/14.57 (4) ~ (e22 = e20)
% 94.61/14.57 (5) ~ (e23 = e20)
% 94.61/14.57 (6) all_24_27 = e23
% 94.61/14.57
% 94.61/14.57 Begin of proof
% 94.61/14.57 |
% 94.61/14.57 | BETA: splitting (3) gives:
% 94.61/14.57 |
% 94.61/14.57 | Case 1:
% 94.61/14.57 | |
% 94.61/14.57 | | (7) all_24_25 = e20 & all_24_28 = e20
% 94.61/14.57 | |
% 94.61/14.57 | | ALPHA: (7) implies:
% 94.61/14.57 | | (8) all_24_28 = e20
% 94.61/14.57 | |
% 94.61/14.57 | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #81.
% 94.61/14.57 | |
% 94.61/14.57 | Case 2:
% 94.61/14.57 | |
% 94.61/14.57 | | (9) (all_24_26 = e20 & all_24_29 = e20) | (all_24_27 = e20 & all_24_30 =
% 94.61/14.57 | | e20)
% 94.61/14.57 | |
% 94.61/14.57 | | BETA: splitting (9) gives:
% 94.61/14.57 | |
% 94.61/14.57 | | Case 1:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (10) all_24_26 = e20 & all_24_29 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | ALPHA: (10) implies:
% 94.61/14.57 | | | (11) all_24_29 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | COMBINE_EQS: (1), (11) imply:
% 94.61/14.57 | | | (12) e23 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | SIMP: (12) implies:
% 94.61/14.57 | | | (13) e23 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | REDUCE: (5), (13) imply:
% 94.61/14.57 | | | (14) $false
% 94.61/14.57 | | |
% 94.61/14.57 | | | CLOSE: (14) is inconsistent.
% 94.61/14.57 | | |
% 94.61/14.57 | | Case 2:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (15) all_24_27 = e20 & all_24_30 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | ALPHA: (15) implies:
% 94.61/14.57 | | | (16) all_24_27 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | COMBINE_EQS: (6), (16) imply:
% 94.61/14.57 | | | (17) e23 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | REDUCE: (5), (17) imply:
% 94.61/14.57 | | | (18) $false
% 94.61/14.57 | | |
% 94.61/14.57 | | | CLOSE: (18) is inconsistent.
% 94.61/14.57 | | |
% 94.61/14.57 | | End of split
% 94.61/14.57 | |
% 94.61/14.57 | End of split
% 94.61/14.57 |
% 94.61/14.57 End of proof
% 94.61/14.57
% 94.61/14.57 Sub-proof #75 shows that the following formulas are inconsistent:
% 94.61/14.57 ----------------------------------------------------------------
% 94.61/14.57 (1) all_20_14 = e23
% 94.61/14.57 (2) all_20_14 = e20
% 94.61/14.57 (3) ~ (e23 = e20)
% 94.61/14.57
% 94.61/14.57 Begin of proof
% 94.61/14.57 |
% 94.61/14.57 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.57 | (4) e23 = e20
% 94.61/14.57 |
% 94.61/14.57 | SIMP: (4) implies:
% 94.61/14.57 | (5) e23 = e20
% 94.61/14.57 |
% 94.61/14.57 | REDUCE: (3), (5) imply:
% 94.61/14.57 | (6) $false
% 94.61/14.57 |
% 94.61/14.57 | CLOSE: (6) is inconsistent.
% 94.61/14.57 |
% 94.61/14.57 End of proof
% 94.61/14.57
% 94.61/14.57 Sub-proof #76 shows that the following formulas are inconsistent:
% 94.61/14.57 ----------------------------------------------------------------
% 94.61/14.57 (1) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 94.61/14.57 (2) ~ (all_14_1 = e22)
% 94.61/14.57 (3) ~ (all_14_1 = e21)
% 94.61/14.57 (4) ~ (all_14_1 = e20)
% 94.61/14.57 (5) all_18_4 = all_14_1
% 94.61/14.57
% 94.61/14.57 Begin of proof
% 94.61/14.57 |
% 94.61/14.57 | BETA: splitting (1) gives:
% 94.61/14.57 |
% 94.61/14.57 | Case 1:
% 94.61/14.57 | |
% 94.61/14.57 | | (6) all_18_4 = e21
% 94.61/14.57 | |
% 94.61/14.57 | | COMBINE_EQS: (5), (6) imply:
% 94.61/14.57 | | (7) all_14_1 = e21
% 94.61/14.57 | |
% 94.61/14.57 | | SIMP: (7) implies:
% 94.61/14.57 | | (8) all_14_1 = e21
% 94.61/14.57 | |
% 94.61/14.57 | | REDUCE: (3), (8) imply:
% 94.61/14.57 | | (9) $false
% 94.61/14.57 | |
% 94.61/14.57 | | CLOSE: (9) is inconsistent.
% 94.61/14.57 | |
% 94.61/14.57 | Case 2:
% 94.61/14.57 | |
% 94.61/14.57 | | (10) all_18_4 = e22 | all_18_4 = e20
% 94.61/14.57 | |
% 94.61/14.57 | | BETA: splitting (10) gives:
% 94.61/14.57 | |
% 94.61/14.57 | | Case 1:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (11) all_18_4 = e22
% 94.61/14.57 | | |
% 94.61/14.57 | | | COMBINE_EQS: (5), (11) imply:
% 94.61/14.57 | | | (12) all_14_1 = e22
% 94.61/14.57 | | |
% 94.61/14.57 | | | SIMP: (12) implies:
% 94.61/14.57 | | | (13) all_14_1 = e22
% 94.61/14.57 | | |
% 94.61/14.57 | | | REDUCE: (2), (13) imply:
% 94.61/14.57 | | | (14) $false
% 94.61/14.57 | | |
% 94.61/14.57 | | | CLOSE: (14) is inconsistent.
% 94.61/14.57 | | |
% 94.61/14.57 | | Case 2:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (15) all_18_4 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | COMBINE_EQS: (5), (15) imply:
% 94.61/14.57 | | | (16) all_14_1 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | SIMP: (16) implies:
% 94.61/14.57 | | | (17) all_14_1 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | REDUCE: (4), (17) imply:
% 94.61/14.57 | | | (18) $false
% 94.61/14.57 | | |
% 94.61/14.57 | | | CLOSE: (18) is inconsistent.
% 94.61/14.57 | | |
% 94.61/14.57 | | End of split
% 94.61/14.57 | |
% 94.61/14.57 | End of split
% 94.61/14.57 |
% 94.61/14.57 End of proof
% 94.61/14.57
% 94.61/14.57 Sub-proof #77 shows that the following formulas are inconsistent:
% 94.61/14.57 ----------------------------------------------------------------
% 94.61/14.57 (1) all_18_10 = all_4_2
% 94.61/14.57 (2) all_18_10 = e20
% 94.61/14.57 (3) ~ (all_4_2 = e20)
% 94.61/14.57
% 94.61/14.57 Begin of proof
% 94.61/14.57 |
% 94.61/14.57 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.57 | (4) all_4_2 = e20
% 94.61/14.57 |
% 94.61/14.57 | SIMP: (4) implies:
% 94.61/14.57 | (5) all_4_2 = e20
% 94.61/14.57 |
% 94.61/14.57 | REDUCE: (3), (5) imply:
% 94.61/14.57 | (6) $false
% 94.61/14.57 |
% 94.61/14.57 | CLOSE: (6) is inconsistent.
% 94.61/14.57 |
% 94.61/14.57 End of proof
% 94.61/14.57
% 94.61/14.57 Sub-proof #78 shows that the following formulas are inconsistent:
% 94.61/14.57 ----------------------------------------------------------------
% 94.61/14.57 (1) ~ (all_14_4 = e22)
% 94.61/14.57 (2) all_18_1 = all_14_4
% 94.61/14.57 (3) ~ (all_14_4 = e21)
% 94.61/14.57 (4) ~ (all_14_4 = e20)
% 94.61/14.57 (5) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 94.61/14.57
% 94.61/14.57 Begin of proof
% 94.61/14.57 |
% 94.61/14.57 | BETA: splitting (5) gives:
% 94.61/14.57 |
% 94.61/14.57 | Case 1:
% 94.61/14.57 | |
% 94.61/14.57 | | (6) all_18_1 = e21
% 94.61/14.57 | |
% 94.61/14.57 | | COMBINE_EQS: (2), (6) imply:
% 94.61/14.57 | | (7) all_14_4 = e21
% 94.61/14.57 | |
% 94.61/14.57 | | SIMP: (7) implies:
% 94.61/14.57 | | (8) all_14_4 = e21
% 94.61/14.57 | |
% 94.61/14.57 | | REDUCE: (3), (8) imply:
% 94.61/14.57 | | (9) $false
% 94.61/14.57 | |
% 94.61/14.57 | | CLOSE: (9) is inconsistent.
% 94.61/14.57 | |
% 94.61/14.57 | Case 2:
% 94.61/14.57 | |
% 94.61/14.57 | | (10) all_18_1 = e22 | all_18_1 = e20
% 94.61/14.57 | |
% 94.61/14.57 | | BETA: splitting (10) gives:
% 94.61/14.57 | |
% 94.61/14.57 | | Case 1:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (11) all_18_1 = e22
% 94.61/14.57 | | |
% 94.61/14.57 | | | COMBINE_EQS: (2), (11) imply:
% 94.61/14.57 | | | (12) all_14_4 = e22
% 94.61/14.57 | | |
% 94.61/14.57 | | | SIMP: (12) implies:
% 94.61/14.57 | | | (13) all_14_4 = e22
% 94.61/14.57 | | |
% 94.61/14.57 | | | REDUCE: (1), (13) imply:
% 94.61/14.57 | | | (14) $false
% 94.61/14.57 | | |
% 94.61/14.57 | | | CLOSE: (14) is inconsistent.
% 94.61/14.57 | | |
% 94.61/14.57 | | Case 2:
% 94.61/14.57 | | |
% 94.61/14.57 | | | (15) all_18_1 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | COMBINE_EQS: (2), (15) imply:
% 94.61/14.57 | | | (16) all_14_4 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | SIMP: (16) implies:
% 94.61/14.57 | | | (17) all_14_4 = e20
% 94.61/14.57 | | |
% 94.61/14.57 | | | REDUCE: (4), (17) imply:
% 94.61/14.57 | | | (18) $false
% 94.61/14.57 | | |
% 94.61/14.57 | | | CLOSE: (18) is inconsistent.
% 94.61/14.57 | | |
% 94.61/14.57 | | End of split
% 94.61/14.57 | |
% 94.61/14.57 | End of split
% 94.61/14.57 |
% 94.61/14.57 End of proof
% 94.61/14.57
% 94.61/14.57 Sub-proof #79 shows that the following formulas are inconsistent:
% 94.61/14.57 ----------------------------------------------------------------
% 94.61/14.57 (1) all_24_11 = e20 & all_24_27 = all_24_30 & ~ (all_24_30 = all_24_31)
% 94.61/14.57 (2) all_24_11 = e21
% 94.61/14.57 (3) ~ (e21 = e20)
% 94.61/14.57
% 94.61/14.57 Begin of proof
% 94.61/14.57 |
% 94.61/14.57 | ALPHA: (1) implies:
% 94.61/14.57 | (4) all_24_11 = e20
% 94.61/14.57 |
% 94.61/14.57 | COMBINE_EQS: (2), (4) imply:
% 94.61/14.57 | (5) e21 = e20
% 94.61/14.57 |
% 94.61/14.57 | REDUCE: (3), (5) imply:
% 94.61/14.57 | (6) $false
% 94.61/14.57 |
% 94.61/14.57 | CLOSE: (6) is inconsistent.
% 94.61/14.57 |
% 94.61/14.57 End of proof
% 94.61/14.57
% 94.61/14.57 Sub-proof #80 shows that the following formulas are inconsistent:
% 94.61/14.57 ----------------------------------------------------------------
% 94.61/14.57 (1) all_24_29 = e23
% 94.61/14.57 (2) all_24_29 = e22
% 94.61/14.57 (3) ~ (e23 = e22)
% 94.61/14.57
% 94.61/14.57 Begin of proof
% 94.61/14.57 |
% 94.61/14.57 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.57 | (4) e23 = e22
% 94.61/14.57 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) e23 = e22
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #81 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_24_28 = e22
% 94.61/14.58 (2) all_24_28 = e20
% 94.61/14.58 (3) ~ (e22 = e20)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) e22 = e20
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) e22 = e20
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #82 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_24_17 = e22
% 94.61/14.58 (2) all_24_17 = all_24_18
% 94.61/14.58 (3) all_24_18 = e20
% 94.61/14.58 (4) ~ (e22 = e20)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (5) all_24_18 = e22
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (3), (5) imply:
% 94.61/14.58 | (6) e22 = e20
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (6) implies:
% 94.61/14.58 | (7) e22 = e20
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (4), (7) imply:
% 94.61/14.58 | (8) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (8) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #83 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_18_13 = all_14_7
% 94.61/14.58 (2) all_18_13 = e21
% 94.61/14.58 (3) ~ (all_14_7 = e21)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_14_7 = e21
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_14_7 = e21
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #84 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_18_12 = all_14_3
% 94.61/14.58 (2) all_18_12 = e22
% 94.61/14.58 (3) ~ (all_14_3 = e22)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_14_3 = e22
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_14_3 = e22
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #85 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_18_12 = all_14_3
% 94.61/14.58 (2) all_18_12 = e21
% 94.61/14.58 (3) ~ (all_14_3 = e21)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_14_3 = e21
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_14_3 = e21
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #86 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_18_4 = all_14_1
% 94.61/14.58 (2) all_18_4 = e23
% 94.61/14.58 (3) ~ (all_14_1 = e23)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_14_1 = e23
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_14_1 = e23
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #87 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_20_1 = all_14_4
% 94.61/14.58 (2) all_20_1 = e21
% 94.61/14.58 (3) ~ (all_14_4 = e21)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_14_4 = e21
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_14_4 = e21
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #88 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_18_1 = all_14_4
% 94.61/14.58 (2) all_18_1 = e23
% 94.61/14.58 (3) ~ (all_14_4 = e23)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_14_4 = e23
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_14_4 = e23
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #89 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_18_10 = all_4_2
% 94.61/14.58 (2) all_18_10 = e21
% 94.61/14.58 (3) ~ (all_4_2 = e21)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_4_2 = e21
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_4_2 = e21
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #90 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_20_4 = e21
% 94.61/14.58 (2) all_20_4 = e20
% 94.61/14.58 (3) ~ (e21 = e20)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) e21 = e20
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) e21 = e20
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #91 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_24_20 = e23 & all_24_22 = e23 & ~ (all_24_16 = e23) & ~ (all_24_17
% 94.61/14.58 = e22) & ~ (all_24_25 = e20) & ~ (e23 = e21)
% 94.61/14.58 (2) all_24_22 = all_14_8
% 94.61/14.58 (3) ~ (all_14_8 = e23)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | ALPHA: (1) implies:
% 94.61/14.58 | (4) all_24_22 = e23
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (2), (4) imply:
% 94.61/14.58 | (5) all_14_8 = e23
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (5) implies:
% 94.61/14.58 | (6) all_14_8 = e23
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (6) imply:
% 94.61/14.58 | (7) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (7) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #92 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_22_0 = all_12_0
% 94.61/14.58 (2) all_22_0 = e13
% 94.61/14.58 (3) ~ (all_12_0 = e13)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_12_0 = e13
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_12_0 = e13
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #93 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) ~ (e13 = e10)
% 94.61/14.58 (2) all_22_11 = e10
% 94.61/14.58 (3) ~ (all_12_10 = e13)
% 94.61/14.58 (4) all_22_8 = e13 | all_22_11 = e13
% 94.61/14.58 (5) all_22_8 = all_12_10
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | BETA: splitting (4) gives:
% 94.61/14.58 |
% 94.61/14.58 | Case 1:
% 94.61/14.58 | |
% 94.61/14.58 | | (6) all_22_8 = e13
% 94.61/14.58 | |
% 94.61/14.58 | | COMBINE_EQS: (5), (6) imply:
% 94.61/14.58 | | (7) all_12_10 = e13
% 94.61/14.58 | |
% 94.61/14.58 | | SIMP: (7) implies:
% 94.61/14.58 | | (8) all_12_10 = e13
% 94.61/14.58 | |
% 94.61/14.58 | | REDUCE: (3), (8) imply:
% 94.61/14.58 | | (9) $false
% 94.61/14.58 | |
% 94.61/14.58 | | CLOSE: (9) is inconsistent.
% 94.61/14.58 | |
% 94.61/14.58 | Case 2:
% 94.61/14.58 | |
% 94.61/14.58 | | (10) all_22_11 = e13
% 94.61/14.58 | |
% 94.61/14.58 | | COMBINE_EQS: (2), (10) imply:
% 94.61/14.58 | | (11) e13 = e10
% 94.61/14.58 | |
% 94.61/14.58 | | REDUCE: (1), (11) imply:
% 94.61/14.58 | | (12) $false
% 94.61/14.58 | |
% 94.61/14.58 | | CLOSE: (12) is inconsistent.
% 94.61/14.58 | |
% 94.61/14.58 | End of split
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #94 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) ~ (e13 = e10)
% 94.61/14.58 (2) all_26_28 = e12
% 94.61/14.58 (3) ~ (e12 = e10)
% 94.61/14.58 (4) all_26_27 = e13
% 94.61/14.58 (5) all_26_29 = e13
% 94.61/14.58 (6) (all_26_25 = e10 & all_26_28 = e10) | (all_26_26 = e10 & all_26_29 = e10)
% 94.61/14.58 | (all_26_27 = e10 & all_26_30 = e10)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | BETA: splitting (6) gives:
% 94.61/14.58 |
% 94.61/14.58 | Case 1:
% 94.61/14.58 | |
% 94.61/14.58 | | (7) all_26_25 = e10 & all_26_28 = e10
% 94.61/14.58 | |
% 94.61/14.58 | | ALPHA: (7) implies:
% 94.61/14.58 | | (8) all_26_28 = e10
% 94.61/14.58 | |
% 94.61/14.58 | | COMBINE_EQS: (2), (8) imply:
% 94.61/14.58 | | (9) e12 = e10
% 94.61/14.58 | |
% 94.61/14.58 | | SIMP: (9) implies:
% 94.61/14.58 | | (10) e12 = e10
% 94.61/14.58 | |
% 94.61/14.58 | | REDUCE: (3), (10) imply:
% 94.61/14.58 | | (11) $false
% 94.61/14.58 | |
% 94.61/14.58 | | CLOSE: (11) is inconsistent.
% 94.61/14.58 | |
% 94.61/14.58 | Case 2:
% 94.61/14.58 | |
% 94.61/14.58 | | (12) (all_26_26 = e10 & all_26_29 = e10) | (all_26_27 = e10 & all_26_30 =
% 94.61/14.58 | | e10)
% 94.61/14.58 | |
% 94.61/14.58 | | BETA: splitting (12) gives:
% 94.61/14.58 | |
% 94.61/14.58 | | Case 1:
% 94.61/14.58 | | |
% 94.61/14.58 | | | (13) all_26_26 = e10 & all_26_29 = e10
% 94.61/14.58 | | |
% 94.61/14.58 | | | ALPHA: (13) implies:
% 94.61/14.58 | | | (14) all_26_29 = e10
% 94.61/14.58 | | |
% 94.61/14.58 | | | COMBINE_EQS: (5), (14) imply:
% 94.61/14.58 | | | (15) e13 = e10
% 94.61/14.58 | | |
% 94.61/14.58 | | | SIMP: (15) implies:
% 94.61/14.58 | | | (16) e13 = e10
% 94.61/14.58 | | |
% 94.61/14.58 | | | REDUCE: (1), (16) imply:
% 94.61/14.58 | | | (17) $false
% 94.61/14.58 | | |
% 94.61/14.58 | | | CLOSE: (17) is inconsistent.
% 94.61/14.58 | | |
% 94.61/14.58 | | Case 2:
% 94.61/14.58 | | |
% 94.61/14.58 | | | (18) all_26_27 = e10 & all_26_30 = e10
% 94.61/14.58 | | |
% 94.61/14.58 | | | ALPHA: (18) implies:
% 94.61/14.58 | | | (19) all_26_27 = e10
% 94.61/14.58 | | |
% 94.61/14.58 | | | COMBINE_EQS: (4), (19) imply:
% 94.61/14.58 | | | (20) e13 = e10
% 94.61/14.58 | | |
% 94.61/14.58 | | | REDUCE: (1), (20) imply:
% 94.61/14.58 | | | (21) $false
% 94.61/14.58 | | |
% 94.61/14.58 | | | CLOSE: (21) is inconsistent.
% 94.61/14.58 | | |
% 94.61/14.58 | | End of split
% 94.61/14.58 | |
% 94.61/14.58 | End of split
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #95 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_26_27 = e11 & all_26_30 = e11 & ~ (all_26_22 = e13) & ~ (all_26_23
% 94.61/14.58 = e12) & ~ (all_26_24 = e11) & ~ (e11 = e10)
% 94.61/14.58 (2) all_26_30 = e10
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | ALPHA: (1) implies:
% 94.61/14.58 | (3) all_26_30 = e11
% 94.61/14.58 | (4) ~ (e11 = e10)
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (2), (3) imply:
% 94.61/14.58 | (5) e11 = e10
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (4), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #96 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_26_26 = e12 & all_26_29 = e12 & ~ (all_26_18 = e13) & ~ (all_26_19
% 94.61/14.58 = e12) & ~ (all_26_21 = e11) & ~ (e12 = e10)
% 94.61/14.58 (2) all_26_29 = e13
% 94.61/14.58 (3) ~ (e13 = e12)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | ALPHA: (1) implies:
% 94.61/14.58 | (4) all_26_29 = e12
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (2), (4) imply:
% 94.61/14.58 | (5) e13 = e12
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (5) implies:
% 94.61/14.58 | (6) e13 = e12
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (6) imply:
% 94.61/14.58 | (7) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (7) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #97 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_26_25 = e13 & all_26_28 = e13 & ~ (all_26_16 = e13) & ~ (all_26_17
% 94.61/14.58 = e12) & ~ (all_26_20 = e11) & ~ (e13 = e10)
% 94.61/14.58 (2) all_26_28 = e12
% 94.61/14.58 (3) ~ (e13 = e12)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | ALPHA: (1) implies:
% 94.61/14.58 | (4) all_26_28 = e13
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (2), (4) imply:
% 94.61/14.58 | (5) e13 = e12
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #98 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_22_14 = e13
% 94.61/14.58 (2) all_22_14 = e10
% 94.61/14.58 (3) ~ (e13 = e10)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) e13 = e10
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) e13 = e10
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #99 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) ~ (e13 = e12)
% 94.61/14.58 (2) all_26_28 = e12
% 94.61/14.58 (3) ~ (e12 = e10)
% 94.61/14.58 (4) all_22_8 = e12
% 94.61/14.58 (5) all_22_8 = e12 | all_22_14 = e12
% 94.61/14.58 (6) all_26_25 = e10
% 94.61/14.58 (7) all_26_25 = all_26_28
% 94.61/14.58 (8) all_22_14 = e13
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (6), (7) imply:
% 94.61/14.58 | (9) all_26_28 = e10
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (2), (9) imply:
% 94.61/14.58 | (10) e12 = e10
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (4), (10) imply:
% 94.61/14.58 | (11) all_22_8 = e10
% 94.61/14.58 |
% 94.61/14.58 | REF_CLOSE: (1), (3), (5), (8), (11) are inconsistent by sub-proof #101.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #100 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) ~ (e13 = e12)
% 94.61/14.58 (2) all_26_17 = all_26_18
% 94.61/14.58 (3) ~ (e12 = e10)
% 94.61/14.58 (4) all_22_8 = e12
% 94.61/14.58 (5) all_26_17 = e12
% 94.61/14.58 (6) all_22_8 = e12 | all_22_14 = e12
% 94.61/14.58 (7) all_26_18 = e10
% 94.61/14.58 (8) all_22_14 = e13
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (2), (5) imply:
% 94.61/14.58 | (9) all_26_18 = e12
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (7), (9) imply:
% 94.61/14.58 | (10) e12 = e10
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (10) implies:
% 94.61/14.58 | (11) e12 = e10
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (4), (11) imply:
% 94.61/14.58 | (12) all_22_8 = e10
% 94.61/14.58 |
% 94.61/14.58 | REF_CLOSE: (1), (3), (6), (8), (12) are inconsistent by sub-proof #101.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #101 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) ~ (e13 = e12)
% 94.61/14.58 (2) ~ (e12 = e10)
% 94.61/14.58 (3) all_22_8 = e12 | all_22_14 = e12
% 94.61/14.58 (4) all_22_8 = e10
% 94.61/14.58 (5) all_22_14 = e13
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | BETA: splitting (3) gives:
% 94.61/14.58 |
% 94.61/14.58 | Case 1:
% 94.61/14.58 | |
% 94.61/14.58 | | (6) all_22_8 = e12
% 94.61/14.58 | |
% 94.61/14.58 | | COMBINE_EQS: (4), (6) imply:
% 94.61/14.58 | | (7) e12 = e10
% 94.61/14.58 | |
% 94.61/14.58 | | REDUCE: (2), (7) imply:
% 94.61/14.58 | | (8) $false
% 94.61/14.58 | |
% 94.61/14.58 | | CLOSE: (8) is inconsistent.
% 94.61/14.58 | |
% 94.61/14.58 | Case 2:
% 94.61/14.58 | |
% 94.61/14.58 | | (9) all_22_14 = e12
% 94.61/14.58 | |
% 94.61/14.58 | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #102.
% 94.61/14.58 | |
% 94.61/14.58 | End of split
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #102 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_22_14 = e13
% 94.61/14.58 (2) all_22_14 = e12
% 94.61/14.58 (3) ~ (e13 = e12)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) e13 = e12
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) e13 = e12
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #103 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_16_10 = all_12_10
% 94.61/14.58 (2) all_16_10 = e11
% 94.61/14.58 (3) ~ (all_12_10 = e11)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_12_10 = e11
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_12_10 = e11
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #104 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_22_15 = e11
% 94.61/14.58 (2) all_22_15 = e10
% 94.61/14.58 (3) ~ (e11 = e10)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) e11 = e10
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) e11 = e10
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #105 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_22_4 = e11
% 94.61/14.58 (2) all_22_4 = e10
% 94.61/14.58 (3) ~ (e11 = e10)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) e11 = e10
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) e11 = e10
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #106 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_22_2 = all_12_1
% 94.61/14.58 (2) all_22_2 = e11
% 94.61/14.58 (3) ~ (all_12_1 = e11)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.58 | (4) all_12_1 = e11
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (4) implies:
% 94.61/14.58 | (5) all_12_1 = e11
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (5) imply:
% 94.61/14.58 | (6) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (6) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #107 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) all_26_20 = e13 & all_26_22 = e13 & ~ (all_26_16 = e13) & ~ (all_26_17
% 94.61/14.58 = e12) & ~ (all_26_25 = e10) & ~ (e13 = e11)
% 94.61/14.58 (2) all_26_22 = all_12_8
% 94.61/14.58 (3) ~ (all_12_8 = e13)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | ALPHA: (1) implies:
% 94.61/14.58 | (4) all_26_22 = e13
% 94.61/14.58 |
% 94.61/14.58 | COMBINE_EQS: (2), (4) imply:
% 94.61/14.58 | (5) all_12_8 = e13
% 94.61/14.58 |
% 94.61/14.58 | SIMP: (5) implies:
% 94.61/14.58 | (6) all_12_8 = e13
% 94.61/14.58 |
% 94.61/14.58 | REDUCE: (3), (6) imply:
% 94.61/14.58 | (7) $false
% 94.61/14.58 |
% 94.61/14.58 | CLOSE: (7) is inconsistent.
% 94.61/14.58 |
% 94.61/14.58 End of proof
% 94.61/14.58
% 94.61/14.58 Sub-proof #108 shows that the following formulas are inconsistent:
% 94.61/14.58 ----------------------------------------------------------------
% 94.61/14.58 (1) ~ (all_14_14 = e23)
% 94.61/14.58 (2) ~ (e23 = e21)
% 94.61/14.58 (3) all_20_11 = all_14_14
% 94.61/14.58 (4) all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 = e23
% 94.61/14.58 (5) all_20_10 = e20
% 94.61/14.58 (6) all_20_9 = e22
% 94.61/14.58 (7) all_20_15 = e21
% 94.61/14.58 (8) ~ (e23 = e22)
% 94.61/14.58 (9) ~ (e23 = e20)
% 94.61/14.58
% 94.61/14.58 Begin of proof
% 94.61/14.58 |
% 94.61/14.58 | BETA: splitting (4) gives:
% 94.61/14.58 |
% 94.61/14.58 | Case 1:
% 94.61/14.58 | |
% 94.61/14.58 | | (10) all_20_9 = e23
% 94.61/14.58 | |
% 94.61/14.58 | | COMBINE_EQS: (6), (10) imply:
% 94.61/14.58 | | (11) e23 = e22
% 94.61/14.58 | |
% 94.61/14.58 | | REDUCE: (8), (11) imply:
% 94.61/14.58 | | (12) $false
% 94.61/14.58 | |
% 94.61/14.58 | | CLOSE: (12) is inconsistent.
% 94.61/14.58 | |
% 94.61/14.58 | Case 2:
% 94.61/14.58 | |
% 94.61/14.58 | | (13) all_20_10 = e23 | all_20_11 = e23 | all_20_15 = e23
% 94.61/14.58 | |
% 94.61/14.58 | | BETA: splitting (13) gives:
% 94.61/14.58 | |
% 94.61/14.58 | | Case 1:
% 94.61/14.58 | | |
% 94.61/14.59 | | | (14) all_20_10 = e23
% 94.61/14.59 | | |
% 94.61/14.59 | | | REF_CLOSE: (5), (9), (14) are inconsistent by sub-proof #109.
% 94.61/14.59 | | |
% 94.61/14.59 | | Case 2:
% 94.61/14.59 | | |
% 94.61/14.59 | | | (15) all_20_11 = e23 | all_20_15 = e23
% 94.61/14.59 | | |
% 94.61/14.59 | | | BETA: splitting (15) gives:
% 94.61/14.59 | | |
% 94.61/14.59 | | | Case 1:
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | (16) all_20_11 = e23
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | COMBINE_EQS: (3), (16) imply:
% 94.61/14.59 | | | | (17) all_14_14 = e23
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | SIMP: (17) implies:
% 94.61/14.59 | | | | (18) all_14_14 = e23
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | REDUCE: (1), (18) imply:
% 94.61/14.59 | | | | (19) $false
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | CLOSE: (19) is inconsistent.
% 94.61/14.59 | | | |
% 94.61/14.59 | | | Case 2:
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | (20) all_20_15 = e23
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | COMBINE_EQS: (7), (20) imply:
% 94.61/14.59 | | | | (21) e23 = e21
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | SIMP: (21) implies:
% 94.61/14.59 | | | | (22) e23 = e21
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | REDUCE: (2), (22) imply:
% 94.61/14.59 | | | | (23) $false
% 94.61/14.59 | | | |
% 94.61/14.59 | | | | CLOSE: (23) is inconsistent.
% 94.61/14.59 | | | |
% 94.61/14.59 | | | End of split
% 94.61/14.59 | | |
% 94.61/14.59 | | End of split
% 94.61/14.59 | |
% 94.61/14.59 | End of split
% 94.61/14.59 |
% 94.61/14.59 End of proof
% 94.61/14.59
% 94.61/14.59 Sub-proof #109 shows that the following formulas are inconsistent:
% 94.61/14.59 ----------------------------------------------------------------
% 94.61/14.59 (1) all_20_10 = e23
% 94.61/14.59 (2) all_20_10 = e20
% 94.61/14.59 (3) ~ (e23 = e20)
% 94.61/14.59
% 94.61/14.59 Begin of proof
% 94.61/14.59 |
% 94.61/14.59 | COMBINE_EQS: (1), (2) imply:
% 94.61/14.59 | (4) e23 = e20
% 94.61/14.59 |
% 94.61/14.59 | SIMP: (4) implies:
% 94.61/14.59 | (5) e23 = e20
% 94.61/14.59 |
% 94.61/14.59 | REDUCE: (3), (5) imply:
% 94.61/14.59 | (6) $false
% 94.61/14.59 |
% 94.61/14.59 | CLOSE: (6) is inconsistent.
% 94.61/14.59 |
% 94.61/14.59 End of proof
% 94.61/14.59 % SZS output end Proof for theBenchmark
% 94.61/14.59
% 94.61/14.59 14073ms
%------------------------------------------------------------------------------